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On this page are all graphs related to C4[ 42, 3 ].

Graphs which this one covers

     2-fold cover of C4[ 21, 2 ] = PS( 3, 7; 2)

Graphs which cover this one

     2-fold covered by C4[ 84, 5 ] = PS( 12, 7; 2)

     2-fold covered by C4[ 84, 6 ] = PS( 3, 28; 3)

     2-fold covered by C4[ 84, 7 ] = PS( 6, 28; 5)

     2-fold covered by C4[ 84, 22 ] = SDD(PS( 3, 7; 2))

     3-fold covered by C4[ 126, 4 ] = PS( 18, 7; 2)

     3-fold covered by C4[ 126, 5 ] = PS( 6, 21; 2)

     3-fold covered by C4[ 126, 6 ] = PS( 6, 21; 4)

     4-fold covered by C4[ 168, 9 ] = PS( 24, 7; 2)

     4-fold covered by C4[ 168, 12 ] = PS( 12, 28; 3)

     4-fold covered by C4[ 168, 13 ] = MPS( 12, 28; 3)

     4-fold covered by C4[ 168, 14 ] = PS( 3, 56; 9)

     4-fold covered by C4[ 168, 15 ] = PS( 6, 56; 3)

     4-fold covered by C4[ 168, 16 ] = PS( 6, 56; 5)

     4-fold covered by C4[ 168, 17 ] = PS( 6, 56; 17)

     4-fold covered by C4[ 168, 24 ] = PL(MC3( 6, 14, 1, 8, 3, 0, 2), [3^28, 4^21])

     4-fold covered by C4[ 168, 25 ] = PL(MC3( 6, 14, 1, 8, 3, 7, 2), [4^21, 6^14])

     4-fold covered by C4[ 168, 35 ] = UG(ATD[168,3])

     4-fold covered by C4[ 168, 38 ] = UG(ATD[168,62])

     4-fold covered by C4[ 168, 59 ] = SDD(PS( 6, 7; 2))

     4-fold covered by C4[ 168, 60 ] = SDD(MC3( 6, 7, 1, 3, 3, 0, 1))

     5-fold covered by C4[ 210, 6 ] = PS( 30, 7; 2)

     5-fold covered by C4[ 210, 8 ] = PS( 6, 35; 4)

     5-fold covered by C4[ 210, 9 ] = PS( 6, 35; 11)

     6-fold covered by C4[ 252, 8 ] = PS( 36, 7; 2)

     6-fold covered by C4[ 252, 9 ] = PS( 9, 28; 3)

     6-fold covered by C4[ 252, 10 ] = PS( 18, 28; 5)

     6-fold covered by C4[ 252, 11 ] = PS( 12, 21; 2)

     6-fold covered by C4[ 252, 12 ] = PS( 12, 21; 4)

     6-fold covered by C4[ 252, 14 ] = PS( 3, 84; 25)

     6-fold covered by C4[ 252, 15 ] = PS( 6, 84; 5)

     6-fold covered by C4[ 252, 16 ] = PS( 6, 84; 11)

     6-fold covered by C4[ 252, 17 ] = PS( 6, 84; 19)

     6-fold covered by C4[ 252, 21 ] = PL(MC3( 6, 21, 1, 8, 5, 0, 2), [3^42, 6^21])

     7-fold covered by C4[ 294, 4 ] = PS( 42, 7; 2)

     7-fold covered by C4[ 294, 6 ] = PS( 6, 49; 18)

     7-fold covered by C4[ 294, 7 ] = MSZ ( 42, 7, 13, 2)

     7-fold covered by C4[ 294, 8 ] = MSZ ( 42, 7, 13, 3)

     8-fold covered by C4[ 336, 13 ] = PS( 48, 7; 2)

     8-fold covered by C4[ 336, 16 ] = PS( 24, 28; 3)

     8-fold covered by C4[ 336, 17 ] = MPS( 24, 28; 3)

     8-fold covered by C4[ 336, 20 ] = PS( 12, 56; 3)

     8-fold covered by C4[ 336, 21 ] = PS( 12, 56; 5)

     8-fold covered by C4[ 336, 22 ] = MPS( 12, 56; 3)

     8-fold covered by C4[ 336, 23 ] = MPS( 12, 56; 5)

     8-fold covered by C4[ 336, 25 ] = PS( 3,112; 31)

     8-fold covered by C4[ 336, 26 ] = PS( 6,112; 9)

     8-fold covered by C4[ 336, 27 ] = PS( 6,112; 17)

     8-fold covered by C4[ 336, 28 ] = PS( 6,112; 23)

     8-fold covered by C4[ 336, 40 ] = PL(MC3( 6, 28, 1, 8, 3, 0, 2), [3^56, 8^21])

     8-fold covered by C4[ 336, 54 ] = UG(ATD[336,5])

     8-fold covered by C4[ 336, 55 ] = UG(ATD[336,7])

     8-fold covered by C4[ 336, 56 ] = UG(ATD[336,9])

     8-fold covered by C4[ 336, 57 ] = UG(ATD[336,25])

     8-fold covered by C4[ 336, 58 ] = UG(ATD[336,27])

     8-fold covered by C4[ 336, 59 ] = UG(ATD[336,35])

     8-fold covered by C4[ 336, 60 ] = UG(ATD[336,37])

     8-fold covered by C4[ 336, 61 ] = UG(ATD[336,39])

     8-fold covered by C4[ 336, 62 ] = UG(ATD[336,41])

     8-fold covered by C4[ 336, 76 ] = UG(ATD[336,135])

     8-fold covered by C4[ 336, 95 ] = UG(ATD[336,171])

     8-fold covered by C4[ 336, 97 ] = UG(ATD[336,173])

     8-fold covered by C4[ 336, 108 ] = PL(ATD[42,3]#DCyc[4])

     8-fold covered by C4[ 336, 111 ] = XI(Rmap(168,4){3,8|8}_14)

     8-fold covered by C4[ 336, 112 ] = SDD(UG(ATD[84,21]))

     8-fold covered by C4[ 336, 113 ] = XI(Rmap(168,14){4,8|6}_14)

     8-fold covered by C4[ 336, 115 ] = SDD(UG(ATD[84,22]))

     8-fold covered by C4[ 336, 117 ] = XI(Rmap(168,27){6,8|3}_6)

     8-fold covered by C4[ 336, 138 ] = PL(CS(PS( 6, 7; 2)[ 6^ 14], 1))

     8-fold covered by C4[ 336, 139 ] = PL(CS(MC3( 6, 7, 1, 3, 3, 0, 1)[ 4^ 21], 1))

     8-fold covered by C4[ 336, 141 ] = SDD(PS( 6, 28; 5))

     8-fold covered by C4[ 336, 142 ] = SDD(MC3( 6, 14, 1, 3, 3, 0, 1))

     8-fold covered by C4[ 336, 143 ] = SDD(MC3( 6, 14, 1, 10, 3, 0, 1))

     8-fold covered by C4[ 336, 152 ] = SDD(MG(Rmap(84,49){4,6|8}_8))

     8-fold covered by C4[ 336, 155 ] = BGCG(PS( 6, 56; 17); K1;1)

     8-fold covered by C4[ 336, 162 ] = SS[336, 9]

     8-fold covered by C4[ 336, 163 ] = SS[336, 10]

     9-fold covered by C4[ 378, 5 ] = PS( 54, 7; 2)

     9-fold covered by C4[ 378, 7 ] = PS( 18, 21; 2)

     9-fold covered by C4[ 378, 8 ] = PS( 18, 21; 4)

     9-fold covered by C4[ 378, 10 ] = PS( 6, 63; 2)

     9-fold covered by C4[ 378, 11 ] = PS( 6, 63; 4)

     9-fold covered by C4[ 378, 12 ] = PS( 6, 63; 5)

     9-fold covered by C4[ 378, 13 ] = PS( 6, 63; 10)

     9-fold covered by C4[ 378, 14 ] = PS( 6, 63; 11)

     9-fold covered by C4[ 378, 16 ] = PS( 6, 63; 17)

     9-fold covered by C4[ 378, 20 ] = UG(ATD[378,9])

     9-fold covered by C4[ 378, 21 ] = UG(ATD[378,11])

     9-fold covered by C4[ 378, 22 ] = UG(ATD[378,27])

     10-fold covered by C4[ 420, 12 ] = PS( 60, 7; 2)

     10-fold covered by C4[ 420, 13 ] = PS( 15, 28; 3)

     10-fold covered by C4[ 420, 14 ] = PS( 30, 28; 5)

     10-fold covered by C4[ 420, 19 ] = PS( 12, 35; 2)

     10-fold covered by C4[ 420, 20 ] = PS( 12, 35; 3)

     10-fold covered by C4[ 420, 21 ] = PS( 12, 35; 4)

     10-fold covered by C4[ 420, 23 ] = PS( 12, 35; 11)

     10-fold covered by C4[ 420, 24 ] = PS( 3,140; 19)

     10-fold covered by C4[ 420, 25 ] = PS( 6,140; 9)

     10-fold covered by C4[ 420, 26 ] = PS( 6,140; 11)

     10-fold covered by C4[ 420, 27 ] = PS( 6,140; 39)

     10-fold covered by C4[ 420, 35 ] = PL(MC3( 6, 35, 1, 8, 19, 0, 2), [3^70, 10^21])

     11-fold covered by C4[ 462, 5 ] = PS( 66, 7; 2)

     11-fold covered by C4[ 462, 7 ] = PS( 6, 77; 10)

     11-fold covered by C4[ 462, 8 ] = PS( 6, 77; 12)

     12-fold covered by C4[ 504, 14 ] = PS( 72, 7; 2)

     12-fold covered by C4[ 504, 17 ] = PS( 36, 28; 3)

     12-fold covered by C4[ 504, 18 ] = MPS( 36, 28; 3)

     12-fold covered by C4[ 504, 19 ] = PS( 24, 21; 2)

     12-fold covered by C4[ 504, 20 ] = PS( 24, 21; 4)

     12-fold covered by C4[ 504, 22 ] = PS( 9, 56; 9)

     12-fold covered by C4[ 504, 23 ] = PS( 18, 56; 3)

     12-fold covered by C4[ 504, 24 ] = PS( 18, 56; 5)

     12-fold covered by C4[ 504, 27 ] = PS( 18, 56; 17)

     12-fold covered by C4[ 504, 28 ] = PS( 12, 84; 5)

     12-fold covered by C4[ 504, 29 ] = PS( 12, 84; 11)

     12-fold covered by C4[ 504, 31 ] = MPS( 12, 84; 5)

     12-fold covered by C4[ 504, 32 ] = MPS( 12, 84; 11)

     12-fold covered by C4[ 504, 34 ] = PS( 3,168; 25)

     12-fold covered by C4[ 504, 35 ] = PS( 6,168; 5)

     12-fold covered by C4[ 504, 36 ] = PS( 6,168; 11)

     12-fold covered by C4[ 504, 37 ] = PS( 6,168; 17)

     12-fold covered by C4[ 504, 38 ] = PS( 6,168; 19)

     12-fold covered by C4[ 504, 39 ] = PS( 6,168; 23)

     12-fold covered by C4[ 504, 41 ] = PS( 6,168; 31)

     12-fold covered by C4[ 504, 42 ] = PS( 6,168; 37)

     12-fold covered by C4[ 504, 53 ] = PL(MC3( 6, 42, 1, 8, 5, 0, 2), [3^84, 12^21])

     12-fold covered by C4[ 504, 56 ] = PL(MC3( 6, 42, 1, 8, 19, 21, 2), [6^42, 12^21])

     12-fold covered by C4[ 504, 76 ] = UG(ATD[504,13])

     12-fold covered by C4[ 504, 77 ] = UG(ATD[504,15])

     12-fold covered by C4[ 504, 78 ] = UG(ATD[504,17])

     12-fold covered by C4[ 504, 79 ] = UG(ATD[504,19])

     12-fold covered by C4[ 504, 80 ] = UG(ATD[504,21])

     12-fold covered by C4[ 504, 98 ] = UG(ATD[504,179])

     12-fold covered by C4[ 504, 135 ] = PL(ATD[42,3]#DCyc[3])

     12-fold covered by C4[ 504, 162 ] = PL(CSI(MC3( 6, 7, 1, 3, 3, 0, 1)[ 4^ 21], 3))

     12-fold covered by C4[ 504, 164 ] = BGCG(MC3( 6, 14, 1, 3, 3, 0, 1), C_ 3, 1)

     12-fold covered by C4[ 504, 166 ] = SDD(PS( 6, 21; 2))

BGCG dissections of this graph

     Base Graph: C4[ 21, 2 ] = PS( 3, 7; 2)   connection graph:  [K_1]

Graphs which have this one as the base graph in a BGCG dissection:

      C4[ 336, 155 ] = BGCG(PS( 6, 56; 17); K1;1)    with connection graph  [C_4]

      C4[ 504, 56 ] = PL(MC3( 6, 42, 1, 8, 19, 21, 2), [6^42, 12^21])    with connection graph  [C_6]

      C4[ 504, 135 ] = PL(ATD[42,3]#DCyc[3])    with connection graph  [C_6]

Aut-Orbital graphs of this one:

      C4[ 21, 2 ] = PS( 3, 7; 2)

      C4[ 42, 3 ] = PS( 6, 7; 2)