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Extensions 1→N→G→Q→1 with N=C6 and Q=S3×D4

Direct product G=N×Q with N=C6 and Q=S3×D4
dρLabelID
S3×C6×D448S3xC6xD4288,992

Semidirect products G=N:Q with N=C6 and Q=S3×D4
extensionφ:Q→Aut NdρLabelID
C6⋊1(S3×D4) = C2×S3×D12φ: S3×D4/C4×S3 → C2 ⊆ Aut C648C6:1(S3xD4)288,951
C6⋊2(S3×D4) = C2×D6⋊D6φ: S3×D4/D12 → C2 ⊆ Aut C648C6:2(S3xD4)288,952
C6⋊3(S3×D4) = C2×Dic3⋊D6φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C624C6:3(S3xD4)288,977
C6⋊4(S3×D4) = C2×D4×C3⋊S3φ: S3×D4/C3×D4 → C2 ⊆ Aut C672C6:4(S3xD4)288,1007
C6⋊5(S3×D4) = C2×S3×C3⋊D4φ: S3×D4/C22×S3 → C2 ⊆ Aut C648C6:5(S3xD4)288,976

Non-split extensions G=N.Q with N=C6 and Q=S3×D4
extensionφ:Q→Aut NdρLabelID
C6.1(S3×D4) = S3×C24⋊C2φ: S3×D4/C4×S3 → C2 ⊆ Aut C6484C6.1(S3xD4)288,440
C6.2(S3×D4) = S3×D24φ: S3×D4/C4×S3 → C2 ⊆ Aut C6484+C6.2(S3xD4)288,441
C6.3(S3×D4) = C24⋊1D6φ: S3×D4/C4×S3 → C2 ⊆ Aut C6484+C6.3(S3xD4)288,442
C6.4(S3×D4) = D24⋊S3φ: S3×D4/C4×S3 → C2 ⊆ Aut C6484C6.4(S3xD4)288,443
C6.5(S3×D4) = S3×Dic12φ: S3×D4/C4×S3 → C2 ⊆ Aut C6964-C6.5(S3xD4)288,447
C6.6(S3×D4) = C24.3D6φ: S3×D4/C4×S3 → C2 ⊆ Aut C6964-C6.6(S3xD4)288,448
C6.7(S3×D4) = Dic12⋊S3φ: S3×D4/C4×S3 → C2 ⊆ Aut C6484C6.7(S3xD4)288,449
C6.8(S3×D4) = D6.1D12φ: S3×D4/C4×S3 → C2 ⊆ Aut C6484C6.8(S3xD4)288,454
C6.9(S3×D4) = D24⋊7S3φ: S3×D4/C4×S3 → C2 ⊆ Aut C6964-C6.9(S3xD4)288,455
C6.10(S3×D4) = D6.3D12φ: S3×D4/C4×S3 → C2 ⊆ Aut C6484+C6.10(S3xD4)288,456
C6.11(S3×D4) = Dic3.D12φ: S3×D4/C4×S3 → C2 ⊆ Aut C648C6.11(S3xD4)288,500
C6.12(S3×D4) = Dic3⋊4D12φ: S3×D4/C4×S3 → C2 ⊆ Aut C648C6.12(S3xD4)288,528
C6.13(S3×D4) = S3×C4⋊Dic3φ: S3×D4/C4×S3 → C2 ⊆ Aut C696C6.13(S3xD4)288,537
C6.14(S3×D4) = D6.D12φ: S3×D4/C4×S3 → C2 ⊆ Aut C648C6.14(S3xD4)288,538
C6.15(S3×D4) = D6.9D12φ: S3×D4/C4×S3 → C2 ⊆ Aut C696C6.15(S3xD4)288,539
C6.16(S3×D4) = Dic3×D12φ: S3×D4/C4×S3 → C2 ⊆ Aut C696C6.16(S3xD4)288,540
C6.17(S3×D4) = D6⋊2Dic6φ: S3×D4/C4×S3 → C2 ⊆ Aut C696C6.17(S3xD4)288,541
C6.18(S3×D4) = Dic3⋊5D12φ: S3×D4/C4×S3 → C2 ⊆ Aut C648C6.18(S3xD4)288,542
C6.19(S3×D4) = C62.65C23φ: S3×D4/C4×S3 → C2 ⊆ Aut C648C6.19(S3xD4)288,543
C6.20(S3×D4) = D6⋊D12φ: S3×D4/C4×S3 → C2 ⊆ Aut C648C6.20(S3xD4)288,554
C6.21(S3×D4) = D6⋊2D12φ: S3×D4/C4×S3 → C2 ⊆ Aut C696C6.21(S3xD4)288,556
C6.22(S3×D4) = C12⋊7D12φ: S3×D4/C4×S3 → C2 ⊆ Aut C648C6.22(S3xD4)288,557
C6.23(S3×D4) = Dic3⋊3D12φ: S3×D4/C4×S3 → C2 ⊆ Aut C648C6.23(S3xD4)288,558
C6.24(S3×D4) = C12⋊D12φ: S3×D4/C4×S3 → C2 ⊆ Aut C648C6.24(S3xD4)288,559
C6.25(S3×D4) = C12⋊3Dic6φ: S3×D4/C4×S3 → C2 ⊆ Aut C696C6.25(S3xD4)288,566
C6.26(S3×D4) = D6⋊4D12φ: S3×D4/C4×S3 → C2 ⊆ Aut C648C6.26(S3xD4)288,570
C6.27(S3×D4) = D6⋊5D12φ: S3×D4/C4×S3 → C2 ⊆ Aut C648C6.27(S3xD4)288,571
C6.28(S3×D4) = C24⋊9D6φ: S3×D4/D12 → C2 ⊆ Aut C6484C6.28(S3xD4)288,444
C6.29(S3×D4) = C24⋊4D6φ: S3×D4/D12 → C2 ⊆ Aut C6484C6.29(S3xD4)288,445
C6.30(S3×D4) = C24⋊6D6φ: S3×D4/D12 → C2 ⊆ Aut C6484C6.30(S3xD4)288,446
C6.31(S3×D4) = C24.23D6φ: S3×D4/D12 → C2 ⊆ Aut C6484C6.31(S3xD4)288,450
C6.32(S3×D4) = D12.2D6φ: S3×D4/D12 → C2 ⊆ Aut C6484C6.32(S3xD4)288,457
C6.33(S3×D4) = D24⋊5S3φ: S3×D4/D12 → C2 ⊆ Aut C6484C6.33(S3xD4)288,458
C6.34(S3×D4) = D12.4D6φ: S3×D4/D12 → C2 ⊆ Aut C6484C6.34(S3xD4)288,459
C6.35(S3×D4) = C62.24C23φ: S3×D4/D12 → C2 ⊆ Aut C648C6.35(S3xD4)288,502
C6.36(S3×D4) = C62.55C23φ: S3×D4/D12 → C2 ⊆ Aut C696C6.36(S3xD4)288,533
C6.37(S3×D4) = D12⋊Dic3φ: S3×D4/D12 → C2 ⊆ Aut C696C6.37(S3xD4)288,546
C6.38(S3×D4) = D6⋊4Dic6φ: S3×D4/D12 → C2 ⊆ Aut C696C6.38(S3xD4)288,547
C6.39(S3×D4) = C62.70C23φ: S3×D4/D12 → C2 ⊆ Aut C648C6.39(S3xD4)288,548
C6.40(S3×D4) = C62.72C23φ: S3×D4/D12 → C2 ⊆ Aut C696C6.40(S3xD4)288,550
C6.41(S3×D4) = C62.84C23φ: S3×D4/D12 → C2 ⊆ Aut C696C6.41(S3xD4)288,562
C6.42(S3×D4) = C62.85C23φ: S3×D4/D12 → C2 ⊆ Aut C696C6.42(S3xD4)288,563
C6.43(S3×D4) = C12⋊2D12φ: S3×D4/D12 → C2 ⊆ Aut C648C6.43(S3xD4)288,564
C6.44(S3×D4) = C12⋊Dic6φ: S3×D4/D12 → C2 ⊆ Aut C696C6.44(S3xD4)288,567
C6.45(S3×D4) = C62.10C23φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C696C6.45(S3xD4)288,488
C6.46(S3×D4) = C62.23C23φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C648C6.46(S3xD4)288,501
C6.47(S3×D4) = C62.35C23φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C648C6.47(S3xD4)288,513
C6.48(S3×D4) = C62.51C23φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C648C6.48(S3xD4)288,529
C6.49(S3×D4) = C62.53C23φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C648C6.49(S3xD4)288,531
C6.50(S3×D4) = D6⋊3Dic6φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C696C6.50(S3xD4)288,544
C6.51(S3×D4) = C62.67C23φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C648C6.51(S3xD4)288,545
C6.52(S3×D4) = C62.82C23φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C648C6.52(S3xD4)288,560
C6.53(S3×D4) = C62.83C23φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C696C6.53(S3xD4)288,561
C6.54(S3×D4) = C62.91C23φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C648C6.54(S3xD4)288,569
C6.55(S3×D4) = D12⋊D6φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C6248+C6.55(S3xD4)288,574
C6.56(S3×D4) = D12.D6φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C6488-C6.56(S3xD4)288,575
C6.57(S3×D4) = Dic6⋊D6φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C6248+C6.57(S3xD4)288,578
C6.58(S3×D4) = Dic6.D6φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C6488-C6.58(S3xD4)288,579
C6.59(S3×D4) = D12.8D6φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C6488-C6.59(S3xD4)288,584
C6.60(S3×D4) = D12⋊5D6φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C6248+C6.60(S3xD4)288,585
C6.61(S3×D4) = D12.9D6φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C6488-C6.61(S3xD4)288,588
C6.62(S3×D4) = D12.10D6φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C6488+C6.62(S3xD4)288,589
C6.63(S3×D4) = Dic6.9D6φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C6488-C6.63(S3xD4)288,592
C6.64(S3×D4) = Dic6.10D6φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C6488+C6.64(S3xD4)288,593
C6.65(S3×D4) = D12.14D6φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C6488+C6.65(S3xD4)288,598
C6.66(S3×D4) = D12.15D6φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C6488-C6.66(S3xD4)288,599
C6.67(S3×D4) = C62.95C23φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C648C6.67(S3xD4)288,601
C6.68(S3×D4) = C62.113C23φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C648C6.68(S3xD4)288,619
C6.69(S3×D4) = C62.115C23φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C648C6.69(S3xD4)288,621
C6.70(S3×D4) = C62.116C23φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C624C6.70(S3xD4)288,622
C6.71(S3×D4) = C62.117C23φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C648C6.71(S3xD4)288,623
C6.72(S3×D4) = C62.121C23φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C648C6.72(S3xD4)288,627
C6.73(S3×D4) = C62⋊7D4φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C648C6.73(S3xD4)288,628
C6.74(S3×D4) = C62⋊8D4φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C624C6.74(S3xD4)288,629
C6.75(S3×D4) = C62⋊4Q8φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C648C6.75(S3xD4)288,630
C6.76(S3×D4) = C22⋊2Dic18φ: S3×D4/C3×D4 → C2 ⊆ Aut C6144C6.76(S3xD4)288,88
C6.77(S3×D4) = C22⋊C4×D9φ: S3×D4/C3×D4 → C2 ⊆ Aut C672C6.77(S3xD4)288,90
C6.78(S3×D4) = Dic9⋊4D4φ: S3×D4/C3×D4 → C2 ⊆ Aut C6144C6.78(S3xD4)288,91
C6.79(S3×D4) = C22⋊3D36φ: S3×D4/C3×D4 → C2 ⊆ Aut C672C6.79(S3xD4)288,92
C6.80(S3×D4) = C23.9D18φ: S3×D4/C3×D4 → C2 ⊆ Aut C6144C6.80(S3xD4)288,93
C6.81(S3×D4) = D18⋊D4φ: S3×D4/C3×D4 → C2 ⊆ Aut C6144C6.81(S3xD4)288,94
C6.82(S3×D4) = Dic9.D4φ: S3×D4/C3×D4 → C2 ⊆ Aut C6144C6.82(S3xD4)288,95
C6.83(S3×D4) = C36⋊Q8φ: S3×D4/C3×D4 → C2 ⊆ Aut C6288C6.83(S3xD4)288,98
C6.84(S3×D4) = C4⋊C4×D9φ: S3×D4/C3×D4 → C2 ⊆ Aut C6144C6.84(S3xD4)288,101
C6.85(S3×D4) = D36⋊C4φ: S3×D4/C3×D4 → C2 ⊆ Aut C6144C6.85(S3xD4)288,103
C6.86(S3×D4) = D18.D4φ: S3×D4/C3×D4 → C2 ⊆ Aut C6144C6.86(S3xD4)288,104
C6.87(S3×D4) = C4⋊D36φ: S3×D4/C3×D4 → C2 ⊆ Aut C6144C6.87(S3xD4)288,105
C6.88(S3×D4) = D18⋊Q8φ: S3×D4/C3×D4 → C2 ⊆ Aut C6144C6.88(S3xD4)288,106
C6.89(S3×D4) = D8×D9φ: S3×D4/C3×D4 → C2 ⊆ Aut C6724+C6.89(S3xD4)288,120
C6.90(S3×D4) = D8⋊D9φ: S3×D4/C3×D4 → C2 ⊆ Aut C6724C6.90(S3xD4)288,121
C6.91(S3×D4) = D8⋊3D9φ: S3×D4/C3×D4 → C2 ⊆ Aut C61444-C6.91(S3xD4)288,122
C6.92(S3×D4) = SD16×D9φ: S3×D4/C3×D4 → C2 ⊆ Aut C6724C6.92(S3xD4)288,123
C6.93(S3×D4) = D72⋊C2φ: S3×D4/C3×D4 → C2 ⊆ Aut C6724+C6.93(S3xD4)288,124
C6.94(S3×D4) = SD16⋊D9φ: S3×D4/C3×D4 → C2 ⊆ Aut C61444-C6.94(S3xD4)288,125
C6.95(S3×D4) = SD16⋊3D9φ: S3×D4/C3×D4 → C2 ⊆ Aut C61444C6.95(S3xD4)288,126
C6.96(S3×D4) = Q16×D9φ: S3×D4/C3×D4 → C2 ⊆ Aut C61444-C6.96(S3xD4)288,127
C6.97(S3×D4) = Q16⋊D9φ: S3×D4/C3×D4 → C2 ⊆ Aut C61444C6.97(S3xD4)288,128
C6.98(S3×D4) = D72⋊5C2φ: S3×D4/C3×D4 → C2 ⊆ Aut C61444+C6.98(S3xD4)288,129
C6.99(S3×D4) = D4×Dic9φ: S3×D4/C3×D4 → C2 ⊆ Aut C6144C6.99(S3xD4)288,144
C6.100(S3×D4) = C23⋊2D18φ: S3×D4/C3×D4 → C2 ⊆ Aut C672C6.100(S3xD4)288,147
C6.101(S3×D4) = C36⋊2D4φ: S3×D4/C3×D4 → C2 ⊆ Aut C6144C6.101(S3xD4)288,148
C6.102(S3×D4) = Dic9⋊D4φ: S3×D4/C3×D4 → C2 ⊆ Aut C6144C6.102(S3xD4)288,149
C6.103(S3×D4) = C36⋊D4φ: S3×D4/C3×D4 → C2 ⊆ Aut C6144C6.103(S3xD4)288,150
C6.104(S3×D4) = C2×D4×D9φ: S3×D4/C3×D4 → C2 ⊆ Aut C672C6.104(S3xD4)288,356
C6.105(S3×D4) = C62⋊6Q8φ: S3×D4/C3×D4 → C2 ⊆ Aut C6144C6.105(S3xD4)288,735
C6.106(S3×D4) = C22⋊C4×C3⋊S3φ: S3×D4/C3×D4 → C2 ⊆ Aut C672C6.106(S3xD4)288,737
C6.107(S3×D4) = C62.225C23φ: S3×D4/C3×D4 → C2 ⊆ Aut C6144C6.107(S3xD4)288,738
C6.108(S3×D4) = C62⋊12D4φ: S3×D4/C3×D4 → C2 ⊆ Aut C672C6.108(S3xD4)288,739
C6.109(S3×D4) = C62.227C23φ: S3×D4/C3×D4 → C2 ⊆ Aut C6144C6.109(S3xD4)288,740
C6.110(S3×D4) = C62.228C23φ: S3×D4/C3×D4 → C2 ⊆ Aut C6144C6.110(S3xD4)288,741
C6.111(S3×D4) = C62.229C23φ: S3×D4/C3×D4 → C2 ⊆ Aut C6144C6.111(S3xD4)288,742
C6.112(S3×D4) = C12⋊2Dic6φ: S3×D4/C3×D4 → C2 ⊆ Aut C6288C6.112(S3xD4)288,745
C6.113(S3×D4) = C4⋊C4×C3⋊S3φ: S3×D4/C3×D4 → C2 ⊆ Aut C6144C6.113(S3xD4)288,748
C6.114(S3×D4) = C62.237C23φ: S3×D4/C3×D4 → C2 ⊆ Aut C6144C6.114(S3xD4)288,750
C6.115(S3×D4) = C62.238C23φ: S3×D4/C3×D4 → C2 ⊆ Aut C6144C6.115(S3xD4)288,751
C6.116(S3×D4) = C12⋊3D12φ: S3×D4/C3×D4 → C2 ⊆ Aut C6144C6.116(S3xD4)288,752
C6.117(S3×D4) = C62.240C23φ: S3×D4/C3×D4 → C2 ⊆ Aut C6144C6.117(S3xD4)288,753
C6.118(S3×D4) = D8×C3⋊S3φ: S3×D4/C3×D4 → C2 ⊆ Aut C672C6.118(S3xD4)288,767
C6.119(S3×D4) = C24⋊8D6φ: S3×D4/C3×D4 → C2 ⊆ Aut C672C6.119(S3xD4)288,768
C6.120(S3×D4) = C24.26D6φ: S3×D4/C3×D4 → C2 ⊆ Aut C6144C6.120(S3xD4)288,769
C6.121(S3×D4) = SD16×C3⋊S3φ: S3×D4/C3×D4 → C2 ⊆ Aut C672C6.121(S3xD4)288,770
C6.122(S3×D4) = C24⋊7D6φ: S3×D4/C3×D4 → C2 ⊆ Aut C672C6.122(S3xD4)288,771
C6.123(S3×D4) = C24.32D6φ: S3×D4/C3×D4 → C2 ⊆ Aut C6144C6.123(S3xD4)288,772
C6.124(S3×D4) = C24.40D6φ: S3×D4/C3×D4 → C2 ⊆ Aut C6144C6.124(S3xD4)288,773
C6.125(S3×D4) = Q16×C3⋊S3φ: S3×D4/C3×D4 → C2 ⊆ Aut C6144C6.125(S3xD4)288,774
C6.126(S3×D4) = C24.35D6φ: S3×D4/C3×D4 → C2 ⊆ Aut C6144C6.126(S3xD4)288,775
C6.127(S3×D4) = C24.28D6φ: S3×D4/C3×D4 → C2 ⊆ Aut C6144C6.127(S3xD4)288,776
C6.128(S3×D4) = D4×C3⋊Dic3φ: S3×D4/C3×D4 → C2 ⊆ Aut C6144C6.128(S3xD4)288,791
C6.129(S3×D4) = C62⋊13D4φ: S3×D4/C3×D4 → C2 ⊆ Aut C672C6.129(S3xD4)288,794
C6.130(S3×D4) = C62.256C23φ: S3×D4/C3×D4 → C2 ⊆ Aut C6144C6.130(S3xD4)288,795
C6.131(S3×D4) = C62⋊14D4φ: S3×D4/C3×D4 → C2 ⊆ Aut C6144C6.131(S3xD4)288,796
C6.132(S3×D4) = C62.258C23φ: S3×D4/C3×D4 → C2 ⊆ Aut C6144C6.132(S3xD4)288,797
C6.133(S3×D4) = C62.9C23φ: S3×D4/C22×S3 → C2 ⊆ Aut C696C6.133(S3xD4)288,487
C6.134(S3×D4) = C62.20C23φ: S3×D4/C22×S3 → C2 ⊆ Aut C648C6.134(S3xD4)288,498
C6.135(S3×D4) = D6⋊Dic6φ: S3×D4/C22×S3 → C2 ⊆ Aut C696C6.135(S3xD4)288,499
C6.136(S3×D4) = S3×Dic3⋊C4φ: S3×D4/C22×S3 → C2 ⊆ Aut C696C6.136(S3xD4)288,524
C6.137(S3×D4) = C62.49C23φ: S3×D4/C22×S3 → C2 ⊆ Aut C696C6.137(S3xD4)288,527
C6.138(S3×D4) = C62.54C23φ: S3×D4/C22×S3 → C2 ⊆ Aut C696C6.138(S3xD4)288,532
C6.139(S3×D4) = Dic3⋊D12φ: S3×D4/C22×S3 → C2 ⊆ Aut C648C6.139(S3xD4)288,534
C6.140(S3×D4) = D6⋊1Dic6φ: S3×D4/C22×S3 → C2 ⊆ Aut C696C6.140(S3xD4)288,535
C6.141(S3×D4) = C62.58C23φ: S3×D4/C22×S3 → C2 ⊆ Aut C648C6.141(S3xD4)288,536
C6.142(S3×D4) = C62.74C23φ: S3×D4/C22×S3 → C2 ⊆ Aut C648C6.142(S3xD4)288,552
C6.143(S3×D4) = C62.75C23φ: S3×D4/C22×S3 → C2 ⊆ Aut C696C6.143(S3xD4)288,553
C6.144(S3×D4) = C62.77C23φ: S3×D4/C22×S3 → C2 ⊆ Aut C648C6.144(S3xD4)288,555
C6.145(S3×D4) = S3×D6⋊C4φ: S3×D4/C22×S3 → C2 ⊆ Aut C648C6.145(S3xD4)288,568
C6.146(S3×D4) = S3×D4⋊S3φ: S3×D4/C22×S3 → C2 ⊆ Aut C6488+C6.146(S3xD4)288,572
C6.147(S3×D4) = Dic6⋊3D6φ: S3×D4/C22×S3 → C2 ⊆ Aut C6488+C6.147(S3xD4)288,573
C6.148(S3×D4) = S3×D4.S3φ: S3×D4/C22×S3 → C2 ⊆ Aut C6488-C6.148(S3xD4)288,576
C6.149(S3×D4) = Dic6.19D6φ: S3×D4/C22×S3 → C2 ⊆ Aut C6488-C6.149(S3xD4)288,577
C6.150(S3×D4) = D12⋊9D6φ: S3×D4/C22×S3 → C2 ⊆ Aut C6488-C6.150(S3xD4)288,580
C6.151(S3×D4) = D12.22D6φ: S3×D4/C22×S3 → C2 ⊆ Aut C6488-C6.151(S3xD4)288,581
C6.152(S3×D4) = D12.7D6φ: S3×D4/C22×S3 → C2 ⊆ Aut C6488+C6.152(S3xD4)288,582
C6.153(S3×D4) = Dic6.20D6φ: S3×D4/C22×S3 → C2 ⊆ Aut C6488+C6.153(S3xD4)288,583
C6.154(S3×D4) = S3×Q8⋊2S3φ: S3×D4/C22×S3 → C2 ⊆ Aut C6488+C6.154(S3xD4)288,586
C6.155(S3×D4) = D12⋊6D6φ: S3×D4/C22×S3 → C2 ⊆ Aut C6488+C6.155(S3xD4)288,587
C6.156(S3×D4) = S3×C3⋊Q16φ: S3×D4/C22×S3 → C2 ⊆ Aut C6968-C6.156(S3xD4)288,590
C6.157(S3×D4) = D12.11D6φ: S3×D4/C22×S3 → C2 ⊆ Aut C6968-C6.157(S3xD4)288,591
C6.158(S3×D4) = D12.24D6φ: S3×D4/C22×S3 → C2 ⊆ Aut C6968-C6.158(S3xD4)288,594
C6.159(S3×D4) = D12.12D6φ: S3×D4/C22×S3 → C2 ⊆ Aut C6968-C6.159(S3xD4)288,595
C6.160(S3×D4) = Dic6.22D6φ: S3×D4/C22×S3 → C2 ⊆ Aut C6488+C6.160(S3xD4)288,596
C6.161(S3×D4) = D12.13D6φ: S3×D4/C22×S3 → C2 ⊆ Aut C6488+C6.161(S3xD4)288,597
C6.162(S3×D4) = C62.94C23φ: S3×D4/C22×S3 → C2 ⊆ Aut C648C6.162(S3xD4)288,600
C6.163(S3×D4) = C62.100C23φ: S3×D4/C22×S3 → C2 ⊆ Aut C648C6.163(S3xD4)288,606
C6.164(S3×D4) = C62.101C23φ: S3×D4/C22×S3 → C2 ⊆ Aut C648C6.164(S3xD4)288,607
C6.165(S3×D4) = C62⋊3Q8φ: S3×D4/C22×S3 → C2 ⊆ Aut C648C6.165(S3xD4)288,612
C6.166(S3×D4) = S3×C6.D4φ: S3×D4/C22×S3 → C2 ⊆ Aut C648C6.166(S3xD4)288,616
C6.167(S3×D4) = C62.111C23φ: S3×D4/C22×S3 → C2 ⊆ Aut C648C6.167(S3xD4)288,617
C6.168(S3×D4) = C62.112C23φ: S3×D4/C22×S3 → C2 ⊆ Aut C648C6.168(S3xD4)288,618
C6.169(S3×D4) = Dic3×C3⋊D4φ: S3×D4/C22×S3 → C2 ⊆ Aut C648C6.169(S3xD4)288,620
C6.170(S3×D4) = C62⋊4D4φ: S3×D4/C22×S3 → C2 ⊆ Aut C648C6.170(S3xD4)288,624
C6.171(S3×D4) = C62⋊5D4φ: S3×D4/C22×S3 → C2 ⊆ Aut C648C6.171(S3xD4)288,625
C6.172(S3×D4) = C62⋊6D4φ: S3×D4/C22×S3 → C2 ⊆ Aut C648C6.172(S3xD4)288,626
C6.173(S3×D4) = C62.125C23φ: S3×D4/C22×S3 → C2 ⊆ Aut C648C6.173(S3xD4)288,631
C6.174(S3×D4) = C3×Dic3.D4central extension (φ=1)48C6.174(S3xD4)288,649
C6.175(S3×D4) = C3×S3×C22⋊C4central extension (φ=1)48C6.175(S3xD4)288,651
C6.176(S3×D4) = C3×Dic3⋊4D4central extension (φ=1)48C6.176(S3xD4)288,652
C6.177(S3×D4) = C3×D6⋊D4central extension (φ=1)48C6.177(S3xD4)288,653
C6.178(S3×D4) = C3×C23.9D6central extension (φ=1)48C6.178(S3xD4)288,654
C6.179(S3×D4) = C3×Dic3⋊D4central extension (φ=1)48C6.179(S3xD4)288,655
C6.180(S3×D4) = C3×C23.11D6central extension (φ=1)48C6.180(S3xD4)288,656
C6.181(S3×D4) = C3×C12⋊Q8central extension (φ=1)96C6.181(S3xD4)288,659
C6.182(S3×D4) = C3×S3×C4⋊C4central extension (φ=1)96C6.182(S3xD4)288,662
C6.183(S3×D4) = C3×Dic3⋊5D4central extension (φ=1)96C6.183(S3xD4)288,664
C6.184(S3×D4) = C3×D6.D4central extension (φ=1)96C6.184(S3xD4)288,665
C6.185(S3×D4) = C3×C12⋊D4central extension (φ=1)96C6.185(S3xD4)288,666
C6.186(S3×D4) = C3×D6⋊Q8central extension (φ=1)96C6.186(S3xD4)288,667
C6.187(S3×D4) = C3×S3×D8central extension (φ=1)484C6.187(S3xD4)288,681
C6.188(S3×D4) = C3×D8⋊S3central extension (φ=1)484C6.188(S3xD4)288,682
C6.189(S3×D4) = C3×D8⋊3S3central extension (φ=1)484C6.189(S3xD4)288,683
C6.190(S3×D4) = C3×S3×SD16central extension (φ=1)484C6.190(S3xD4)288,684
C6.191(S3×D4) = C3×Q8⋊3D6central extension (φ=1)484C6.191(S3xD4)288,685
C6.192(S3×D4) = C3×D4.D6central extension (φ=1)484C6.192(S3xD4)288,686
C6.193(S3×D4) = C3×Q8.7D6central extension (φ=1)484C6.193(S3xD4)288,687
C6.194(S3×D4) = C3×S3×Q16central extension (φ=1)964C6.194(S3xD4)288,688
C6.195(S3×D4) = C3×Q16⋊S3central extension (φ=1)964C6.195(S3xD4)288,689
C6.196(S3×D4) = C3×D24⋊C2central extension (φ=1)964C6.196(S3xD4)288,690
C6.197(S3×D4) = C3×D4×Dic3central extension (φ=1)48C6.197(S3xD4)288,705
C6.198(S3×D4) = C3×C23⋊2D6central extension (φ=1)48C6.198(S3xD4)288,708
C6.199(S3×D4) = C3×D6⋊3D4central extension (φ=1)48C6.199(S3xD4)288,709
C6.200(S3×D4) = C3×C23.14D6central extension (φ=1)48C6.200(S3xD4)288,710
C6.201(S3×D4) = C3×C12⋊3D4central extension (φ=1)48C6.201(S3xD4)288,711

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