# Extensions 1→N→G→Q→1 with N=C12 and Q=C22×S3

Direct product G=N×Q with N=C12 and Q=C22×S3
dρLabelID
S3×C22×C1296S3xC2^2xC12288,989

Semidirect products G=N:Q with N=C12 and Q=C22×S3
extensionφ:Q→Aut NdρLabelID
C121(C22×S3) = S32×D4φ: C22×S3/S3C22 ⊆ Aut C12248+C12:1(C2^2xS3)288,958
C122(C22×S3) = C2×D6⋊D6φ: C22×S3/C6C22 ⊆ Aut C1248C12:2(C2^2xS3)288,952
C123(C22×S3) = C2×D4×C3⋊S3φ: C22×S3/C6C22 ⊆ Aut C1272C12:3(C2^2xS3)288,1007
C124(C22×S3) = C2×S3×D12φ: C22×S3/D6C2 ⊆ Aut C1248C12:4(C2^2xS3)288,951
C125(C22×S3) = S32×C2×C4φ: C22×S3/D6C2 ⊆ Aut C1248C12:5(C2^2xS3)288,950
C126(C22×S3) = S3×C6×D4φ: C22×S3/D6C2 ⊆ Aut C1248C12:6(C2^2xS3)288,992
C127(C22×S3) = C22×C12⋊S3φ: C22×S3/C2×C6C2 ⊆ Aut C12144C12:7(C2^2xS3)288,1005
C128(C22×S3) = C22×C4×C3⋊S3φ: C22×S3/C2×C6C2 ⊆ Aut C12144C12:8(C2^2xS3)288,1004
C129(C22×S3) = C2×C6×D12φ: C22×S3/C2×C6C2 ⊆ Aut C1296C12:9(C2^2xS3)288,990

Non-split extensions G=N.Q with N=C12 and Q=C22×S3
extensionφ:Q→Aut NdρLabelID
C12.1(C22×S3) = S3×D4⋊S3φ: C22×S3/S3C22 ⊆ Aut C12488+C12.1(C2^2xS3)288,572
C12.2(C22×S3) = Dic63D6φ: C22×S3/S3C22 ⊆ Aut C12488+C12.2(C2^2xS3)288,573
C12.3(C22×S3) = D12⋊D6φ: C22×S3/S3C22 ⊆ Aut C12248+C12.3(C2^2xS3)288,574
C12.4(C22×S3) = D12.D6φ: C22×S3/S3C22 ⊆ Aut C12488-C12.4(C2^2xS3)288,575
C12.5(C22×S3) = S3×D4.S3φ: C22×S3/S3C22 ⊆ Aut C12488-C12.5(C2^2xS3)288,576
C12.6(C22×S3) = Dic6.19D6φ: C22×S3/S3C22 ⊆ Aut C12488-C12.6(C2^2xS3)288,577
C12.7(C22×S3) = Dic6⋊D6φ: C22×S3/S3C22 ⊆ Aut C12248+C12.7(C2^2xS3)288,578
C12.8(C22×S3) = Dic6.D6φ: C22×S3/S3C22 ⊆ Aut C12488-C12.8(C2^2xS3)288,579
C12.9(C22×S3) = D129D6φ: C22×S3/S3C22 ⊆ Aut C12488-C12.9(C2^2xS3)288,580
C12.10(C22×S3) = D12.22D6φ: C22×S3/S3C22 ⊆ Aut C12488-C12.10(C2^2xS3)288,581
C12.11(C22×S3) = D12.7D6φ: C22×S3/S3C22 ⊆ Aut C12488+C12.11(C2^2xS3)288,582
C12.12(C22×S3) = Dic6.20D6φ: C22×S3/S3C22 ⊆ Aut C12488+C12.12(C2^2xS3)288,583
C12.13(C22×S3) = D12.8D6φ: C22×S3/S3C22 ⊆ Aut C12488-C12.13(C2^2xS3)288,584
C12.14(C22×S3) = D125D6φ: C22×S3/S3C22 ⊆ Aut C12248+C12.14(C2^2xS3)288,585
C12.15(C22×S3) = S3×Q82S3φ: C22×S3/S3C22 ⊆ Aut C12488+C12.15(C2^2xS3)288,586
C12.16(C22×S3) = D126D6φ: C22×S3/S3C22 ⊆ Aut C12488+C12.16(C2^2xS3)288,587
C12.17(C22×S3) = D12.9D6φ: C22×S3/S3C22 ⊆ Aut C12488-C12.17(C2^2xS3)288,588
C12.18(C22×S3) = D12.10D6φ: C22×S3/S3C22 ⊆ Aut C12488+C12.18(C2^2xS3)288,589
C12.19(C22×S3) = S3×C3⋊Q16φ: C22×S3/S3C22 ⊆ Aut C12968-C12.19(C2^2xS3)288,590
C12.20(C22×S3) = D12.11D6φ: C22×S3/S3C22 ⊆ Aut C12968-C12.20(C2^2xS3)288,591
C12.21(C22×S3) = Dic6.9D6φ: C22×S3/S3C22 ⊆ Aut C12488-C12.21(C2^2xS3)288,592
C12.22(C22×S3) = Dic6.10D6φ: C22×S3/S3C22 ⊆ Aut C12488+C12.22(C2^2xS3)288,593
C12.23(C22×S3) = D12.24D6φ: C22×S3/S3C22 ⊆ Aut C12968-C12.23(C2^2xS3)288,594
C12.24(C22×S3) = D12.12D6φ: C22×S3/S3C22 ⊆ Aut C12968-C12.24(C2^2xS3)288,595
C12.25(C22×S3) = Dic6.22D6φ: C22×S3/S3C22 ⊆ Aut C12488+C12.25(C2^2xS3)288,596
C12.26(C22×S3) = D12.13D6φ: C22×S3/S3C22 ⊆ Aut C12488+C12.26(C2^2xS3)288,597
C12.27(C22×S3) = D12.14D6φ: C22×S3/S3C22 ⊆ Aut C12488+C12.27(C2^2xS3)288,598
C12.28(C22×S3) = D12.15D6φ: C22×S3/S3C22 ⊆ Aut C12488-C12.28(C2^2xS3)288,599
C12.29(C22×S3) = Dic6.24D6φ: C22×S3/S3C22 ⊆ Aut C12488-C12.29(C2^2xS3)288,957
C12.30(C22×S3) = S3×D42S3φ: C22×S3/S3C22 ⊆ Aut C12488-C12.30(C2^2xS3)288,959
C12.31(C22×S3) = Dic612D6φ: C22×S3/S3C22 ⊆ Aut C12248+C12.31(C2^2xS3)288,960
C12.32(C22×S3) = D1212D6φ: C22×S3/S3C22 ⊆ Aut C12488-C12.32(C2^2xS3)288,961
C12.33(C22×S3) = D1213D6φ: C22×S3/S3C22 ⊆ Aut C12248+C12.33(C2^2xS3)288,962
C12.34(C22×S3) = D12.25D6φ: C22×S3/S3C22 ⊆ Aut C12488-C12.34(C2^2xS3)288,963
C12.35(C22×S3) = Dic6.26D6φ: C22×S3/S3C22 ⊆ Aut C12488+C12.35(C2^2xS3)288,964
C12.36(C22×S3) = S32×Q8φ: C22×S3/S3C22 ⊆ Aut C12488-C12.36(C2^2xS3)288,965
C12.37(C22×S3) = S3×Q83S3φ: C22×S3/S3C22 ⊆ Aut C12488+C12.37(C2^2xS3)288,966
C12.38(C22×S3) = D1215D6φ: C22×S3/S3C22 ⊆ Aut C12488-C12.38(C2^2xS3)288,967
C12.39(C22×S3) = D1216D6φ: C22×S3/S3C22 ⊆ Aut C12488+C12.39(C2^2xS3)288,968
C12.40(C22×S3) = D8×D9φ: C22×S3/C6C22 ⊆ Aut C12724+C12.40(C2^2xS3)288,120
C12.41(C22×S3) = D8⋊D9φ: C22×S3/C6C22 ⊆ Aut C12724C12.41(C2^2xS3)288,121
C12.42(C22×S3) = D83D9φ: C22×S3/C6C22 ⊆ Aut C121444-C12.42(C2^2xS3)288,122
C12.43(C22×S3) = SD16×D9φ: C22×S3/C6C22 ⊆ Aut C12724C12.43(C2^2xS3)288,123
C12.44(C22×S3) = D72⋊C2φ: C22×S3/C6C22 ⊆ Aut C12724+C12.44(C2^2xS3)288,124
C12.45(C22×S3) = SD16⋊D9φ: C22×S3/C6C22 ⊆ Aut C121444-C12.45(C2^2xS3)288,125
C12.46(C22×S3) = SD163D9φ: C22×S3/C6C22 ⊆ Aut C121444C12.46(C2^2xS3)288,126
C12.47(C22×S3) = Q16×D9φ: C22×S3/C6C22 ⊆ Aut C121444-C12.47(C2^2xS3)288,127
C12.48(C22×S3) = Q16⋊D9φ: C22×S3/C6C22 ⊆ Aut C121444C12.48(C2^2xS3)288,128
C12.49(C22×S3) = D725C2φ: C22×S3/C6C22 ⊆ Aut C121444+C12.49(C2^2xS3)288,129
C12.50(C22×S3) = C2×D4.D9φ: C22×S3/C6C22 ⊆ Aut C12144C12.50(C2^2xS3)288,141
C12.51(C22×S3) = C2×D4⋊D9φ: C22×S3/C6C22 ⊆ Aut C12144C12.51(C2^2xS3)288,142
C12.52(C22×S3) = D366C22φ: C22×S3/C6C22 ⊆ Aut C12724C12.52(C2^2xS3)288,143
C12.53(C22×S3) = C2×C9⋊Q16φ: C22×S3/C6C22 ⊆ Aut C12288C12.53(C2^2xS3)288,151
C12.54(C22×S3) = C2×Q82D9φ: C22×S3/C6C22 ⊆ Aut C12144C12.54(C2^2xS3)288,152
C12.55(C22×S3) = C36.C23φ: C22×S3/C6C22 ⊆ Aut C121444C12.55(C2^2xS3)288,153
C12.56(C22×S3) = D4.D18φ: C22×S3/C6C22 ⊆ Aut C121444-C12.56(C2^2xS3)288,159
C12.57(C22×S3) = D4⋊D18φ: C22×S3/C6C22 ⊆ Aut C12724+C12.57(C2^2xS3)288,160
C12.58(C22×S3) = D4.9D18φ: C22×S3/C6C22 ⊆ Aut C121444C12.58(C2^2xS3)288,161
C12.59(C22×S3) = C2×D4×D9φ: C22×S3/C6C22 ⊆ Aut C1272C12.59(C2^2xS3)288,356
C12.60(C22×S3) = C2×D42D9φ: C22×S3/C6C22 ⊆ Aut C12144C12.60(C2^2xS3)288,357
C12.61(C22×S3) = D46D18φ: C22×S3/C6C22 ⊆ Aut C12724C12.61(C2^2xS3)288,358
C12.62(C22×S3) = C2×Q8×D9φ: C22×S3/C6C22 ⊆ Aut C12144C12.62(C2^2xS3)288,359
C12.63(C22×S3) = C2×Q83D9φ: C22×S3/C6C22 ⊆ Aut C12144C12.63(C2^2xS3)288,360
C12.64(C22×S3) = Q8.15D18φ: C22×S3/C6C22 ⊆ Aut C121444C12.64(C2^2xS3)288,361
C12.65(C22×S3) = C4○D4×D9φ: C22×S3/C6C22 ⊆ Aut C12724C12.65(C2^2xS3)288,362
C12.66(C22×S3) = S3×C24⋊C2φ: C22×S3/C6C22 ⊆ Aut C12484C12.66(C2^2xS3)288,440
C12.67(C22×S3) = C249D6φ: C22×S3/C6C22 ⊆ Aut C12484C12.67(C2^2xS3)288,444
C12.68(C22×S3) = C244D6φ: C22×S3/C6C22 ⊆ Aut C12484C12.68(C2^2xS3)288,445
C12.69(C22×S3) = C246D6φ: C22×S3/C6C22 ⊆ Aut C12484C12.69(C2^2xS3)288,446
C12.70(C22×S3) = C24.23D6φ: C22×S3/C6C22 ⊆ Aut C12484C12.70(C2^2xS3)288,450
C12.71(C22×S3) = D6.1D12φ: C22×S3/C6C22 ⊆ Aut C12484C12.71(C2^2xS3)288,454
C12.72(C22×S3) = D247S3φ: C22×S3/C6C22 ⊆ Aut C12964-C12.72(C2^2xS3)288,455
C12.73(C22×S3) = D6.3D12φ: C22×S3/C6C22 ⊆ Aut C12484+C12.73(C2^2xS3)288,456
C12.74(C22×S3) = D12.2D6φ: C22×S3/C6C22 ⊆ Aut C12484C12.74(C2^2xS3)288,457
C12.75(C22×S3) = D245S3φ: C22×S3/C6C22 ⊆ Aut C12484C12.75(C2^2xS3)288,458
C12.76(C22×S3) = D12.4D6φ: C22×S3/C6C22 ⊆ Aut C12484C12.76(C2^2xS3)288,459
C12.77(C22×S3) = C2×C322D8φ: C22×S3/C6C22 ⊆ Aut C1296C12.77(C2^2xS3)288,469
C12.78(C22×S3) = D12.30D6φ: C22×S3/C6C22 ⊆ Aut C12484C12.78(C2^2xS3)288,470
C12.79(C22×S3) = D1220D6φ: C22×S3/C6C22 ⊆ Aut C12484C12.79(C2^2xS3)288,471
C12.80(C22×S3) = C2×C3⋊D24φ: C22×S3/C6C22 ⊆ Aut C1248C12.80(C2^2xS3)288,472
C12.81(C22×S3) = C2×Dic6⋊S3φ: C22×S3/C6C22 ⊆ Aut C1296C12.81(C2^2xS3)288,474
C12.82(C22×S3) = D12.32D6φ: C22×S3/C6C22 ⊆ Aut C12484C12.82(C2^2xS3)288,475
C12.83(C22×S3) = C2×D12.S3φ: C22×S3/C6C22 ⊆ Aut C1296C12.83(C2^2xS3)288,476
C12.84(C22×S3) = D12.29D6φ: C22×S3/C6C22 ⊆ Aut C12484-C12.84(C2^2xS3)288,479
C12.85(C22×S3) = Dic6.29D6φ: C22×S3/C6C22 ⊆ Aut C12484C12.85(C2^2xS3)288,481
C12.86(C22×S3) = C2×C322Q16φ: C22×S3/C6C22 ⊆ Aut C1296C12.86(C2^2xS3)288,482
C12.87(C22×S3) = D8×C3⋊S3φ: C22×S3/C6C22 ⊆ Aut C1272C12.87(C2^2xS3)288,767
C12.88(C22×S3) = C248D6φ: C22×S3/C6C22 ⊆ Aut C1272C12.88(C2^2xS3)288,768
C12.89(C22×S3) = C24.26D6φ: C22×S3/C6C22 ⊆ Aut C12144C12.89(C2^2xS3)288,769
C12.90(C22×S3) = SD16×C3⋊S3φ: C22×S3/C6C22 ⊆ Aut C1272C12.90(C2^2xS3)288,770
C12.91(C22×S3) = C247D6φ: C22×S3/C6C22 ⊆ Aut C1272C12.91(C2^2xS3)288,771
C12.92(C22×S3) = C24.32D6φ: C22×S3/C6C22 ⊆ Aut C12144C12.92(C2^2xS3)288,772
C12.93(C22×S3) = C24.40D6φ: C22×S3/C6C22 ⊆ Aut C12144C12.93(C2^2xS3)288,773
C12.94(C22×S3) = Q16×C3⋊S3φ: C22×S3/C6C22 ⊆ Aut C12144C12.94(C2^2xS3)288,774
C12.95(C22×S3) = C24.35D6φ: C22×S3/C6C22 ⊆ Aut C12144C12.95(C2^2xS3)288,775
C12.96(C22×S3) = C24.28D6φ: C22×S3/C6C22 ⊆ Aut C12144C12.96(C2^2xS3)288,776
C12.97(C22×S3) = C2×C327D8φ: C22×S3/C6C22 ⊆ Aut C12144C12.97(C2^2xS3)288,788
C12.98(C22×S3) = C62.131D4φ: C22×S3/C6C22 ⊆ Aut C1272C12.98(C2^2xS3)288,789
C12.99(C22×S3) = C2×C329SD16φ: C22×S3/C6C22 ⊆ Aut C12144C12.99(C2^2xS3)288,790
C12.100(C22×S3) = C2×C3211SD16φ: C22×S3/C6C22 ⊆ Aut C12144C12.100(C2^2xS3)288,798
C12.101(C22×S3) = C62.134D4φ: C22×S3/C6C22 ⊆ Aut C12144C12.101(C2^2xS3)288,799
C12.102(C22×S3) = C2×C327Q16φ: C22×S3/C6C22 ⊆ Aut C12288C12.102(C2^2xS3)288,800
C12.103(C22×S3) = C62.73D4φ: C22×S3/C6C22 ⊆ Aut C1272C12.103(C2^2xS3)288,806
C12.104(C22×S3) = C62.74D4φ: C22×S3/C6C22 ⊆ Aut C12144C12.104(C2^2xS3)288,807
C12.105(C22×S3) = C62.75D4φ: C22×S3/C6C22 ⊆ Aut C12144C12.105(C2^2xS3)288,808
C12.106(C22×S3) = C2×D125S3φ: C22×S3/C6C22 ⊆ Aut C1296C12.106(C2^2xS3)288,943
C12.107(C22×S3) = C2×D12⋊S3φ: C22×S3/C6C22 ⊆ Aut C1248C12.107(C2^2xS3)288,944
C12.108(C22×S3) = C2×Dic3.D6φ: C22×S3/C6C22 ⊆ Aut C1248C12.108(C2^2xS3)288,947
C12.109(C22×S3) = D1224D6φ: C22×S3/C6C22 ⊆ Aut C12484C12.109(C2^2xS3)288,955
C12.110(C22×S3) = C2×C12.D6φ: C22×S3/C6C22 ⊆ Aut C12144C12.110(C2^2xS3)288,1008
C12.111(C22×S3) = C3282+ 1+4φ: C22×S3/C6C22 ⊆ Aut C1272C12.111(C2^2xS3)288,1009
C12.112(C22×S3) = C2×Q8×C3⋊S3φ: C22×S3/C6C22 ⊆ Aut C12144C12.112(C2^2xS3)288,1010
C12.113(C22×S3) = C2×C12.26D6φ: C22×S3/C6C22 ⊆ Aut C12144C12.113(C2^2xS3)288,1011
C12.114(C22×S3) = C3272- 1+4φ: C22×S3/C6C22 ⊆ Aut C12144C12.114(C2^2xS3)288,1012
C12.115(C22×S3) = C4○D4×C3⋊S3φ: C22×S3/C6C22 ⊆ Aut C1272C12.115(C2^2xS3)288,1013
C12.116(C22×S3) = C62.154C23φ: C22×S3/C6C22 ⊆ Aut C1272C12.116(C2^2xS3)288,1014
C12.117(C22×S3) = C3292- 1+4φ: C22×S3/C6C22 ⊆ Aut C12144C12.117(C2^2xS3)288,1015
C12.118(C22×S3) = S3×D24φ: C22×S3/D6C2 ⊆ Aut C12484+C12.118(C2^2xS3)288,441
C12.119(C22×S3) = C241D6φ: C22×S3/D6C2 ⊆ Aut C12484+C12.119(C2^2xS3)288,442
C12.120(C22×S3) = D24⋊S3φ: C22×S3/D6C2 ⊆ Aut C12484C12.120(C2^2xS3)288,443
C12.121(C22×S3) = S3×Dic12φ: C22×S3/D6C2 ⊆ Aut C12964-C12.121(C2^2xS3)288,447
C12.122(C22×S3) = C24.3D6φ: C22×S3/D6C2 ⊆ Aut C12964-C12.122(C2^2xS3)288,448
C12.123(C22×S3) = Dic12⋊S3φ: C22×S3/D6C2 ⊆ Aut C12484C12.123(C2^2xS3)288,449
C12.124(C22×S3) = D1218D6φ: C22×S3/D6C2 ⊆ Aut C12244+C12.124(C2^2xS3)288,473
C12.125(C22×S3) = D12.27D6φ: C22×S3/D6C2 ⊆ Aut C12484C12.125(C2^2xS3)288,477
C12.126(C22×S3) = D12.28D6φ: C22×S3/D6C2 ⊆ Aut C12484C12.126(C2^2xS3)288,478
C12.127(C22×S3) = C2×C325SD16φ: C22×S3/D6C2 ⊆ Aut C1248C12.127(C2^2xS3)288,480
C12.128(C22×S3) = C2×C323Q16φ: C22×S3/D6C2 ⊆ Aut C1296C12.128(C2^2xS3)288,483
C12.129(C22×S3) = C2×S3×Dic6φ: C22×S3/D6C2 ⊆ Aut C1296C12.129(C2^2xS3)288,942
C12.130(C22×S3) = D12.33D6φ: C22×S3/D6C2 ⊆ Aut C12484C12.130(C2^2xS3)288,945
C12.131(C22×S3) = D12.34D6φ: C22×S3/D6C2 ⊆ Aut C12484-C12.131(C2^2xS3)288,946
C12.132(C22×S3) = C2×D6.6D6φ: C22×S3/D6C2 ⊆ Aut C1248C12.132(C2^2xS3)288,949
C12.133(C22×S3) = D1227D6φ: C22×S3/D6C2 ⊆ Aut C12244+C12.133(C2^2xS3)288,956
C12.134(C22×S3) = S32×C8φ: C22×S3/D6C2 ⊆ Aut C12484C12.134(C2^2xS3)288,437
C12.135(C22×S3) = S3×C8⋊S3φ: C22×S3/D6C2 ⊆ Aut C12484C12.135(C2^2xS3)288,438
C12.136(C22×S3) = C24⋊D6φ: C22×S3/D6C2 ⊆ Aut C12484C12.136(C2^2xS3)288,439
C12.137(C22×S3) = C24.63D6φ: C22×S3/D6C2 ⊆ Aut C12484C12.137(C2^2xS3)288,451
C12.138(C22×S3) = C24.64D6φ: C22×S3/D6C2 ⊆ Aut C12484C12.138(C2^2xS3)288,452
C12.139(C22×S3) = C24.D6φ: C22×S3/D6C2 ⊆ Aut C12484C12.139(C2^2xS3)288,453
C12.140(C22×S3) = C2×S3×C3⋊C8φ: C22×S3/D6C2 ⊆ Aut C1296C12.140(C2^2xS3)288,460
C12.141(C22×S3) = S3×C4.Dic3φ: C22×S3/D6C2 ⊆ Aut C12484C12.141(C2^2xS3)288,461
C12.142(C22×S3) = D12.2Dic3φ: C22×S3/D6C2 ⊆ Aut C12484C12.142(C2^2xS3)288,462
C12.143(C22×S3) = D12.Dic3φ: C22×S3/D6C2 ⊆ Aut C12484C12.143(C2^2xS3)288,463
C12.144(C22×S3) = C2×C12.29D6φ: C22×S3/D6C2 ⊆ Aut C1248C12.144(C2^2xS3)288,464
C12.145(C22×S3) = C3⋊C8.22D6φ: C22×S3/D6C2 ⊆ Aut C12484C12.145(C2^2xS3)288,465
C12.146(C22×S3) = C3⋊C820D6φ: C22×S3/D6C2 ⊆ Aut C12244C12.146(C2^2xS3)288,466
C12.147(C22×S3) = C2×D6.Dic3φ: C22×S3/D6C2 ⊆ Aut C1296C12.147(C2^2xS3)288,467
C12.148(C22×S3) = C2×C12.31D6φ: C22×S3/D6C2 ⊆ Aut C1248C12.148(C2^2xS3)288,468
C12.149(C22×S3) = C2×D6.D6φ: C22×S3/D6C2 ⊆ Aut C1248C12.149(C2^2xS3)288,948
C12.150(C22×S3) = S3×C4○D12φ: C22×S3/D6C2 ⊆ Aut C12484C12.150(C2^2xS3)288,953
C12.151(C22×S3) = D1223D6φ: C22×S3/D6C2 ⊆ Aut C12244C12.151(C2^2xS3)288,954
C12.152(C22×S3) = C3×S3×D8φ: C22×S3/D6C2 ⊆ Aut C12484C12.152(C2^2xS3)288,681
C12.153(C22×S3) = C3×D8⋊S3φ: C22×S3/D6C2 ⊆ Aut C12484C12.153(C2^2xS3)288,682
C12.154(C22×S3) = C3×D83S3φ: C22×S3/D6C2 ⊆ Aut C12484C12.154(C2^2xS3)288,683
C12.155(C22×S3) = C3×S3×SD16φ: C22×S3/D6C2 ⊆ Aut C12484C12.155(C2^2xS3)288,684
C12.156(C22×S3) = C3×Q83D6φ: C22×S3/D6C2 ⊆ Aut C12484C12.156(C2^2xS3)288,685
C12.157(C22×S3) = C3×D4.D6φ: C22×S3/D6C2 ⊆ Aut C12484C12.157(C2^2xS3)288,686
C12.158(C22×S3) = C3×Q8.7D6φ: C22×S3/D6C2 ⊆ Aut C12484C12.158(C2^2xS3)288,687
C12.159(C22×S3) = C3×S3×Q16φ: C22×S3/D6C2 ⊆ Aut C12964C12.159(C2^2xS3)288,688
C12.160(C22×S3) = C3×Q16⋊S3φ: C22×S3/D6C2 ⊆ Aut C12964C12.160(C2^2xS3)288,689
C12.161(C22×S3) = C3×D24⋊C2φ: C22×S3/D6C2 ⊆ Aut C12964C12.161(C2^2xS3)288,690
C12.162(C22×S3) = C6×D4⋊S3φ: C22×S3/D6C2 ⊆ Aut C1248C12.162(C2^2xS3)288,702
C12.163(C22×S3) = C3×D126C22φ: C22×S3/D6C2 ⊆ Aut C12244C12.163(C2^2xS3)288,703
C12.164(C22×S3) = C6×D4.S3φ: C22×S3/D6C2 ⊆ Aut C1248C12.164(C2^2xS3)288,704
C12.165(C22×S3) = C6×Q82S3φ: C22×S3/D6C2 ⊆ Aut C1296C12.165(C2^2xS3)288,712
C12.166(C22×S3) = C3×Q8.11D6φ: C22×S3/D6C2 ⊆ Aut C12484C12.166(C2^2xS3)288,713
C12.167(C22×S3) = C6×C3⋊Q16φ: C22×S3/D6C2 ⊆ Aut C1296C12.167(C2^2xS3)288,714
C12.168(C22×S3) = C3×D4⋊D6φ: C22×S3/D6C2 ⊆ Aut C12484C12.168(C2^2xS3)288,720
C12.169(C22×S3) = C3×Q8.13D6φ: C22×S3/D6C2 ⊆ Aut C12484C12.169(C2^2xS3)288,721
C12.170(C22×S3) = C3×Q8.14D6φ: C22×S3/D6C2 ⊆ Aut C12484C12.170(C2^2xS3)288,722
C12.171(C22×S3) = C6×D42S3φ: C22×S3/D6C2 ⊆ Aut C1248C12.171(C2^2xS3)288,993
C12.172(C22×S3) = C3×D46D6φ: C22×S3/D6C2 ⊆ Aut C12244C12.172(C2^2xS3)288,994
C12.173(C22×S3) = S3×C6×Q8φ: C22×S3/D6C2 ⊆ Aut C1296C12.173(C2^2xS3)288,995
C12.174(C22×S3) = C6×Q83S3φ: C22×S3/D6C2 ⊆ Aut C1296C12.174(C2^2xS3)288,996
C12.175(C22×S3) = C3×Q8.15D6φ: C22×S3/D6C2 ⊆ Aut C12484C12.175(C2^2xS3)288,997
C12.176(C22×S3) = C3×S3×C4○D4φ: C22×S3/D6C2 ⊆ Aut C12484C12.176(C2^2xS3)288,998
C12.177(C22×S3) = C3×D4○D12φ: C22×S3/D6C2 ⊆ Aut C12484C12.177(C2^2xS3)288,999
C12.178(C22×S3) = C3×Q8○D12φ: C22×S3/D6C2 ⊆ Aut C12484C12.178(C2^2xS3)288,1000
C12.179(C22×S3) = C2×Dic36φ: C22×S3/C2×C6C2 ⊆ Aut C12288C12.179(C2^2xS3)288,109
C12.180(C22×S3) = C2×C72⋊C2φ: C22×S3/C2×C6C2 ⊆ Aut C12144C12.180(C2^2xS3)288,113
C12.181(C22×S3) = C2×D72φ: C22×S3/C2×C6C2 ⊆ Aut C12144C12.181(C2^2xS3)288,114
C12.182(C22×S3) = D727C2φ: C22×S3/C2×C6C2 ⊆ Aut C121442C12.182(C2^2xS3)288,115
C12.183(C22×S3) = C8⋊D18φ: C22×S3/C2×C6C2 ⊆ Aut C12724+C12.183(C2^2xS3)288,118
C12.184(C22×S3) = C8.D18φ: C22×S3/C2×C6C2 ⊆ Aut C121444-C12.184(C2^2xS3)288,119
C12.185(C22×S3) = C22×Dic18φ: C22×S3/C2×C6C2 ⊆ Aut C12288C12.185(C2^2xS3)288,352
C12.186(C22×S3) = C22×D36φ: C22×S3/C2×C6C2 ⊆ Aut C12144C12.186(C2^2xS3)288,354
C12.187(C22×S3) = D48D18φ: C22×S3/C2×C6C2 ⊆ Aut C12724+C12.187(C2^2xS3)288,363
C12.188(C22×S3) = D4.10D18φ: C22×S3/C2×C6C2 ⊆ Aut C121444-C12.188(C2^2xS3)288,364
C12.189(C22×S3) = C2×C242S3φ: C22×S3/C2×C6C2 ⊆ Aut C12144C12.189(C2^2xS3)288,759
C12.190(C22×S3) = C2×C325D8φ: C22×S3/C2×C6C2 ⊆ Aut C12144C12.190(C2^2xS3)288,760
C12.191(C22×S3) = C24.78D6φ: C22×S3/C2×C6C2 ⊆ Aut C12144C12.191(C2^2xS3)288,761
C12.192(C22×S3) = C2×C325Q16φ: C22×S3/C2×C6C2 ⊆ Aut C12288C12.192(C2^2xS3)288,762
C12.193(C22×S3) = C243D6φ: C22×S3/C2×C6C2 ⊆ Aut C1272C12.193(C2^2xS3)288,765
C12.194(C22×S3) = C24.5D6φ: C22×S3/C2×C6C2 ⊆ Aut C12144C12.194(C2^2xS3)288,766
C12.195(C22×S3) = C22×C324Q8φ: C22×S3/C2×C6C2 ⊆ Aut C12288C12.195(C2^2xS3)288,1003
C12.196(C22×S3) = C2×C8×D9φ: C22×S3/C2×C6C2 ⊆ Aut C12144C12.196(C2^2xS3)288,110
C12.197(C22×S3) = C2×C8⋊D9φ: C22×S3/C2×C6C2 ⊆ Aut C12144C12.197(C2^2xS3)288,111
C12.198(C22×S3) = D36.2C4φ: C22×S3/C2×C6C2 ⊆ Aut C121442C12.198(C2^2xS3)288,112
C12.199(C22×S3) = M4(2)×D9φ: C22×S3/C2×C6C2 ⊆ Aut C12724C12.199(C2^2xS3)288,116
C12.200(C22×S3) = D36.C4φ: C22×S3/C2×C6C2 ⊆ Aut C121444C12.200(C2^2xS3)288,117
C12.201(C22×S3) = C22×C9⋊C8φ: C22×S3/C2×C6C2 ⊆ Aut C12288C12.201(C2^2xS3)288,130
C12.202(C22×S3) = C2×C4.Dic9φ: C22×S3/C2×C6C2 ⊆ Aut C12144C12.202(C2^2xS3)288,131
C12.203(C22×S3) = D4.Dic9φ: C22×S3/C2×C6C2 ⊆ Aut C121444C12.203(C2^2xS3)288,158
C12.204(C22×S3) = C22×C4×D9φ: C22×S3/C2×C6C2 ⊆ Aut C12144C12.204(C2^2xS3)288,353
C12.205(C22×S3) = C2×D365C2φ: C22×S3/C2×C6C2 ⊆ Aut C12144C12.205(C2^2xS3)288,355
C12.206(C22×S3) = C2×C8×C3⋊S3φ: C22×S3/C2×C6C2 ⊆ Aut C12144C12.206(C2^2xS3)288,756
C12.207(C22×S3) = C2×C24⋊S3φ: C22×S3/C2×C6C2 ⊆ Aut C12144C12.207(C2^2xS3)288,757
C12.208(C22×S3) = C24.95D6φ: C22×S3/C2×C6C2 ⊆ Aut C12144C12.208(C2^2xS3)288,758
C12.209(C22×S3) = M4(2)×C3⋊S3φ: C22×S3/C2×C6C2 ⊆ Aut C1272C12.209(C2^2xS3)288,763
C12.210(C22×S3) = C24.47D6φ: C22×S3/C2×C6C2 ⊆ Aut C12144C12.210(C2^2xS3)288,764
C12.211(C22×S3) = C22×C324C8φ: C22×S3/C2×C6C2 ⊆ Aut C12288C12.211(C2^2xS3)288,777
C12.212(C22×S3) = C2×C12.58D6φ: C22×S3/C2×C6C2 ⊆ Aut C12144C12.212(C2^2xS3)288,778
C12.213(C22×S3) = D4.(C3⋊Dic3)φ: C22×S3/C2×C6C2 ⊆ Aut C12144C12.213(C2^2xS3)288,805
C12.214(C22×S3) = C2×C12.59D6φ: C22×S3/C2×C6C2 ⊆ Aut C12144C12.214(C2^2xS3)288,1006
C12.215(C22×S3) = C6×C24⋊C2φ: C22×S3/C2×C6C2 ⊆ Aut C1296C12.215(C2^2xS3)288,673
C12.216(C22×S3) = C6×D24φ: C22×S3/C2×C6C2 ⊆ Aut C1296C12.216(C2^2xS3)288,674
C12.217(C22×S3) = C3×C4○D24φ: C22×S3/C2×C6C2 ⊆ Aut C12482C12.217(C2^2xS3)288,675
C12.218(C22×S3) = C6×Dic12φ: C22×S3/C2×C6C2 ⊆ Aut C1296C12.218(C2^2xS3)288,676
C12.219(C22×S3) = C3×C8⋊D6φ: C22×S3/C2×C6C2 ⊆ Aut C12484C12.219(C2^2xS3)288,679
C12.220(C22×S3) = C3×C8.D6φ: C22×S3/C2×C6C2 ⊆ Aut C12484C12.220(C2^2xS3)288,680
C12.221(C22×S3) = C2×C6×Dic6φ: C22×S3/C2×C6C2 ⊆ Aut C1296C12.221(C2^2xS3)288,988
C12.222(C22×S3) = C6×C4○D12φ: C22×S3/C2×C6C2 ⊆ Aut C1248C12.222(C2^2xS3)288,991
C12.223(C22×S3) = S3×C2×C24central extension (φ=1)96C12.223(C2^2xS3)288,670
C12.224(C22×S3) = C6×C8⋊S3central extension (φ=1)96C12.224(C2^2xS3)288,671
C12.225(C22×S3) = C3×C8○D12central extension (φ=1)482C12.225(C2^2xS3)288,672
C12.226(C22×S3) = C3×S3×M4(2)central extension (φ=1)484C12.226(C2^2xS3)288,677
C12.227(C22×S3) = C3×D12.C4central extension (φ=1)484C12.227(C2^2xS3)288,678
C12.228(C22×S3) = C2×C6×C3⋊C8central extension (φ=1)96C12.228(C2^2xS3)288,691
C12.229(C22×S3) = C6×C4.Dic3central extension (φ=1)48C12.229(C2^2xS3)288,692
C12.230(C22×S3) = C3×D4.Dic3central extension (φ=1)484C12.230(C2^2xS3)288,719

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