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Extensions 1→N→G→Q→1 with N=C12 and Q=C4○D4

Direct product G=N×Q with N=C12 and Q=C4○D4
dρLabelID
C12×C4○D496C12xC4oD4192,1406

Semidirect products G=N:Q with N=C12 and Q=C4○D4
extensionφ:Q→Aut NdρLabelID
C12⋊1(C4○D4) = C42.228D6φ: C4○D4/C4 → C22 ⊆ Aut C1296C12:1(C4oD4)192,1107
C12⋊2(C4○D4) = D12⋊24D4φ: C4○D4/C4 → C22 ⊆ Aut C1296C12:2(C4oD4)192,1110
C12⋊3(C4○D4) = Dic6⋊24D4φ: C4○D4/C4 → C22 ⊆ Aut C1296C12:3(C4oD4)192,1112
C12⋊4(C4○D4) = C42.238D6φ: C4○D4/C4 → C22 ⊆ Aut C1296C12:4(C4oD4)192,1275
C12⋊5(C4○D4) = Dic6⋊11D4φ: C4○D4/C4 → C22 ⊆ Aut C1296C12:5(C4oD4)192,1277
C12⋊6(C4○D4) = C42.240D6φ: C4○D4/C4 → C22 ⊆ Aut C1296C12:6(C4oD4)192,1284
C12⋊7(C4○D4) = D12⋊12D4φ: C4○D4/C4 → C22 ⊆ Aut C1296C12:7(C4oD4)192,1285
C12⋊8(C4○D4) = C6.2- 1+4φ: C4○D4/C22 → C22 ⊆ Aut C1296C12:8(C4oD4)192,1066
C12⋊9(C4○D4) = C12⋊(C4○D4)φ: C4○D4/C22 → C22 ⊆ Aut C1296C12:9(C4oD4)192,1155
C12⋊10(C4○D4) = C6.732- 1+4φ: C4○D4/C22 → C22 ⊆ Aut C1296C12:10(C4oD4)192,1170
C12⋊11(C4○D4) = C42.276D6φ: C4○D4/C2×C4 → C2 ⊆ Aut C1296C12:11(C4oD4)192,1036
C12⋊12(C4○D4) = C4×C4○D12φ: C4○D4/C2×C4 → C2 ⊆ Aut C1296C12:12(C4oD4)192,1033
C12⋊13(C4○D4) = C3×C22.26C24φ: C4○D4/C2×C4 → C2 ⊆ Aut C1296C12:13(C4oD4)192,1421
C12⋊14(C4○D4) = D4⋊6D12φ: C4○D4/D4 → C2 ⊆ Aut C1296C12:14(C4oD4)192,1114
C12⋊15(C4○D4) = C4×D4⋊2S3φ: C4○D4/D4 → C2 ⊆ Aut C1296C12:15(C4oD4)192,1095
C12⋊16(C4○D4) = C3×D4⋊6D4φ: C4○D4/D4 → C2 ⊆ Aut C1296C12:16(C4oD4)192,1436
C12⋊17(C4○D4) = Q8⋊7D12φ: C4○D4/Q8 → C2 ⊆ Aut C1296C12:17(C4oD4)192,1136
C12⋊18(C4○D4) = C4×Q8⋊3S3φ: C4○D4/Q8 → C2 ⊆ Aut C1296C12:18(C4oD4)192,1132
C12⋊19(C4○D4) = C3×Q8⋊6D4φ: C4○D4/Q8 → C2 ⊆ Aut C1296C12:19(C4oD4)192,1439

Non-split extensions G=N.Q with N=C12 and Q=C4○D4
extensionφ:Q→Aut NdρLabelID
C12.1(C4○D4) = Dic3.SD16φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.1(C4oD4)192,319
C12.2(C4○D4) = Dic6⋊2D4φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.2(C4oD4)192,321
C12.3(C4○D4) = C4⋊C4.D6φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.3(C4oD4)192,323
C12.4(C4○D4) = C12⋊Q8⋊C2φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.4(C4oD4)192,324
C12.5(C4○D4) = Dic6.D4φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.5(C4oD4)192,326
C12.6(C4○D4) = (C2×C8).200D6φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.6(C4oD4)192,327
C12.7(C4○D4) = D6⋊D8φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.7(C4oD4)192,334
C12.8(C4○D4) = D6⋊SD16φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.8(C4oD4)192,337
C12.9(C4○D4) = C3⋊C8⋊1D4φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.9(C4oD4)192,339
C12.10(C4○D4) = C3⋊C8⋊D4φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.10(C4oD4)192,341
C12.11(C4○D4) = D12⋊3D4φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.11(C4oD4)192,345
C12.12(C4○D4) = D12.D4φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.12(C4oD4)192,346
C12.13(C4○D4) = Dic3.1Q16φ: C4○D4/C4 → C22 ⊆ Aut C12192C12.13(C4oD4)192,351
C12.14(C4○D4) = (C2×C8).D6φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.14(C4oD4)192,353
C12.15(C4○D4) = Dic3⋊Q16φ: C4○D4/C4 → C22 ⊆ Aut C12192C12.15(C4oD4)192,354
C12.16(C4○D4) = (C2×Q8).36D6φ: C4○D4/C4 → C22 ⊆ Aut C12192C12.16(C4oD4)192,356
C12.17(C4○D4) = Dic6.11D4φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.17(C4oD4)192,357
C12.18(C4○D4) = Q8⋊C4⋊S3φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.18(C4oD4)192,359
C12.19(C4○D4) = D6⋊2SD16φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.19(C4oD4)192,366
C12.20(C4○D4) = C3⋊(C8⋊D4)φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.20(C4oD4)192,371
C12.21(C4○D4) = D6⋊1Q16φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.21(C4oD4)192,372
C12.22(C4○D4) = C3⋊C8.D4φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.22(C4oD4)192,375
C12.23(C4○D4) = Dic3⋊SD16φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.23(C4oD4)192,377
C12.24(C4○D4) = D12.12D4φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.24(C4oD4)192,378
C12.25(C4○D4) = Dic3⋊8SD16φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.25(C4oD4)192,411
C12.26(C4○D4) = Dic12⋊9C4φ: C4○D4/C4 → C22 ⊆ Aut C12192C12.26(C4oD4)192,412
C12.27(C4○D4) = D6.2SD16φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.27(C4oD4)192,421
C12.28(C4○D4) = D6.4SD16φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.28(C4oD4)192,422
C12.29(C4○D4) = C8⋊8D12φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.29(C4oD4)192,423
C12.30(C4○D4) = C24⋊7D4φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.30(C4oD4)192,424
C12.31(C4○D4) = C4.Q8⋊S3φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.31(C4oD4)192,425
C12.32(C4○D4) = C8.2D12φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.32(C4oD4)192,426
C12.33(C4○D4) = C6.(C4○D8)φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.33(C4oD4)192,427
C12.34(C4○D4) = D24⋊9C4φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.34(C4oD4)192,428
C12.35(C4○D4) = Dic3⋊5D8φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.35(C4oD4)192,431
C12.36(C4○D4) = Dic3⋊5Q16φ: C4○D4/C4 → C22 ⊆ Aut C12192C12.36(C4oD4)192,432
C12.37(C4○D4) = D6.5D8φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.37(C4oD4)192,441
C12.38(C4○D4) = D6⋊2D8φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.38(C4oD4)192,442
C12.39(C4○D4) = D6.2Q16φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.39(C4oD4)192,443
C12.40(C4○D4) = C2.D8⋊S3φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.40(C4oD4)192,444
C12.41(C4○D4) = C8⋊3D12φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.41(C4oD4)192,445
C12.42(C4○D4) = D6⋊2Q16φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.42(C4oD4)192,446
C12.43(C4○D4) = C2.D8⋊7S3φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.43(C4oD4)192,447
C12.44(C4○D4) = C24⋊C2⋊C4φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.44(C4oD4)192,448
C12.45(C4○D4) = C12.50D8φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.45(C4oD4)192,566
C12.46(C4○D4) = C12.38SD16φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.46(C4oD4)192,567
C12.47(C4○D4) = D4.3Dic6φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.47(C4oD4)192,568
C12.48(C4○D4) = C4×D4⋊S3φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.48(C4oD4)192,572
C12.49(C4○D4) = C42.48D6φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.49(C4oD4)192,573
C12.50(C4○D4) = C12⋊7D8φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.50(C4oD4)192,574
C12.51(C4○D4) = D4.1D12φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.51(C4oD4)192,575
C12.52(C4○D4) = C4×D4.S3φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.52(C4oD4)192,576
C12.53(C4○D4) = C42.51D6φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.53(C4oD4)192,577
C12.54(C4○D4) = D4.2D12φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.54(C4oD4)192,578
C12.55(C4○D4) = Q8⋊4Dic6φ: C4○D4/C4 → C22 ⊆ Aut C12192C12.55(C4oD4)192,579
C12.56(C4○D4) = Q8⋊5Dic6φ: C4○D4/C4 → C22 ⊆ Aut C12192C12.56(C4oD4)192,580
C12.57(C4○D4) = Q8.5Dic6φ: C4○D4/C4 → C22 ⊆ Aut C12192C12.57(C4oD4)192,581
C12.58(C4○D4) = C4×Q8⋊2S3φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.58(C4oD4)192,584
C12.59(C4○D4) = C42.56D6φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.59(C4oD4)192,585
C12.60(C4○D4) = Q8⋊2D12φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.60(C4oD4)192,586
C12.61(C4○D4) = Q8.6D12φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.61(C4oD4)192,587
C12.62(C4○D4) = C4×C3⋊Q16φ: C4○D4/C4 → C22 ⊆ Aut C12192C12.62(C4oD4)192,588
C12.63(C4○D4) = C42.59D6φ: C4○D4/C4 → C22 ⊆ Aut C12192C12.63(C4oD4)192,589
C12.64(C4○D4) = C12⋊7Q16φ: C4○D4/C4 → C22 ⊆ Aut C12192C12.64(C4oD4)192,590
C12.65(C4○D4) = C42.61D6φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.65(C4oD4)192,613
C12.66(C4○D4) = C42.62D6φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.66(C4oD4)192,614
C12.67(C4○D4) = C42.213D6φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.67(C4oD4)192,615
C12.68(C4○D4) = D12.23D4φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.68(C4oD4)192,616
C12.69(C4○D4) = Dic6.4Q8φ: C4○D4/C4 → C22 ⊆ Aut C12192C12.69(C4oD4)192,622
C12.70(C4○D4) = D12.4Q8φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.70(C4oD4)192,625
C12.71(C4○D4) = C42.70D6φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.71(C4oD4)192,626
C12.72(C4○D4) = C42.216D6φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.72(C4oD4)192,627
C12.73(C4○D4) = C42.71D6φ: C4○D4/C4 → C22 ⊆ Aut C12192C12.73(C4oD4)192,628
C12.74(C4○D4) = C12.16D8φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.74(C4oD4)192,629
C12.75(C4○D4) = C42.72D6φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.75(C4oD4)192,630
C12.76(C4○D4) = C12⋊2D8φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.76(C4oD4)192,631
C12.77(C4○D4) = Dic6⋊9D4φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.77(C4oD4)192,634
C12.78(C4○D4) = C12.9Q16φ: C4○D4/C4 → C22 ⊆ Aut C12192C12.78(C4oD4)192,638
C12.79(C4○D4) = C42.77D6φ: C4○D4/C4 → C22 ⊆ Aut C12192C12.79(C4oD4)192,641
C12.80(C4○D4) = C12⋊5SD16φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.80(C4oD4)192,642
C12.81(C4○D4) = D12⋊5Q8φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.81(C4oD4)192,643
C12.82(C4○D4) = D12⋊6Q8φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.82(C4oD4)192,646
C12.83(C4○D4) = C12.D8φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.83(C4oD4)192,647
C12.84(C4○D4) = C42.82D6φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.84(C4oD4)192,648
C12.85(C4○D4) = C12⋊Q16φ: C4○D4/C4 → C22 ⊆ Aut C12192C12.85(C4oD4)192,649
C12.86(C4○D4) = Dic6⋊5Q8φ: C4○D4/C4 → C22 ⊆ Aut C12192C12.86(C4oD4)192,650
C12.87(C4○D4) = C12.Q16φ: C4○D4/C4 → C22 ⊆ Aut C12192C12.87(C4oD4)192,652
C12.88(C4○D4) = Dic6⋊6Q8φ: C4○D4/C4 → C22 ⊆ Aut C12192C12.88(C4oD4)192,653
C12.89(C4○D4) = Dic3×D8φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.89(C4oD4)192,708
C12.90(C4○D4) = Dic3⋊D8φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.90(C4oD4)192,709
C12.91(C4○D4) = D8⋊Dic3φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.91(C4oD4)192,711
C12.92(C4○D4) = (C6×D8).C2φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.92(C4oD4)192,712
C12.93(C4○D4) = D6⋊3D8φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.93(C4oD4)192,716
C12.94(C4○D4) = C24⋊12D4φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.94(C4oD4)192,718
C12.95(C4○D4) = Dic3×SD16φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.95(C4oD4)192,720
C12.96(C4○D4) = Dic3⋊3SD16φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.96(C4oD4)192,721
C12.97(C4○D4) = Dic3⋊5SD16φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.97(C4oD4)192,722
C12.98(C4○D4) = SD16⋊Dic3φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.98(C4oD4)192,723
C12.99(C4○D4) = (C3×D4).D4φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.99(C4oD4)192,724
C12.100(C4○D4) = (C3×Q8).D4φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.100(C4oD4)192,725
C12.101(C4○D4) = C24⋊14D4φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.101(C4oD4)192,730
C12.102(C4○D4) = C24⋊8D4φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.102(C4oD4)192,733
C12.103(C4○D4) = Dic3×Q16φ: C4○D4/C4 → C22 ⊆ Aut C12192C12.103(C4oD4)192,740
C12.104(C4○D4) = Dic3⋊3Q16φ: C4○D4/C4 → C22 ⊆ Aut C12192C12.104(C4oD4)192,741
C12.105(C4○D4) = Q16⋊Dic3φ: C4○D4/C4 → C22 ⊆ Aut C12192C12.105(C4oD4)192,743
C12.106(C4○D4) = (C2×Q16)⋊S3φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.106(C4oD4)192,744
C12.107(C4○D4) = D6⋊3Q16φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.107(C4oD4)192,747
C12.108(C4○D4) = C24.36D4φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.108(C4oD4)192,748
C12.109(C4○D4) = C42.106D6φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.109(C4oD4)192,1101
C12.110(C4○D4) = C42.113D6φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.110(C4oD4)192,1117
C12.111(C4○D4) = C42.114D6φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.111(C4oD4)192,1118
C12.112(C4○D4) = C42.115D6φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.112(C4oD4)192,1120
C12.113(C4○D4) = C42.116D6φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.113(C4oD4)192,1121
C12.114(C4○D4) = C42.117D6φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.114(C4oD4)192,1122
C12.115(C4○D4) = Dic6⋊10Q8φ: C4○D4/C4 → C22 ⊆ Aut C12192C12.115(C4oD4)192,1126
C12.116(C4○D4) = C42.122D6φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.116(C4oD4)192,1127
C12.117(C4○D4) = C42.232D6φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.117(C4oD4)192,1137
C12.118(C4○D4) = D12⋊10Q8φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.118(C4oD4)192,1138
C12.119(C4○D4) = C42.132D6φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.119(C4oD4)192,1140
C12.120(C4○D4) = C42.133D6φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.120(C4oD4)192,1141
C12.121(C4○D4) = C42.134D6φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.121(C4oD4)192,1142
C12.122(C4○D4) = C42.135D6φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.122(C4oD4)192,1143
C12.123(C4○D4) = C42.136D6φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.123(C4oD4)192,1144
C12.124(C4○D4) = C42.139D6φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.124(C4oD4)192,1230
C12.125(C4○D4) = C42.234D6φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.125(C4oD4)192,1239
C12.126(C4○D4) = C42.143D6φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.126(C4oD4)192,1240
C12.127(C4○D4) = C42.144D6φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.127(C4oD4)192,1241
C12.128(C4○D4) = C42.237D6φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.128(C4oD4)192,1250
C12.129(C4○D4) = C42.152D6φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.129(C4oD4)192,1253
C12.130(C4○D4) = C42.153D6φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.130(C4oD4)192,1254
C12.131(C4○D4) = C42.155D6φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.131(C4oD4)192,1256
C12.132(C4○D4) = C42.156D6φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.132(C4oD4)192,1257
C12.133(C4○D4) = C42.166D6φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.133(C4oD4)192,1272
C12.134(C4○D4) = C42.168D6φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.134(C4oD4)192,1278
C12.135(C4○D4) = Dic6⋊8Q8φ: C4○D4/C4 → C22 ⊆ Aut C12192C12.135(C4oD4)192,1280
C12.136(C4○D4) = C42.241D6φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.136(C4oD4)192,1287
C12.137(C4○D4) = D12⋊9Q8φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.137(C4oD4)192,1289
C12.138(C4○D4) = C42.176D6φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.138(C4oD4)192,1290
C12.139(C4○D4) = C42.177D6φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.139(C4oD4)192,1291
C12.140(C4○D4) = C42.178D6φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.140(C4oD4)192,1292
C12.141(C4○D4) = C42.179D6φ: C4○D4/C4 → C22 ⊆ Aut C1296C12.141(C4oD4)192,1293
C12.142(C4○D4) = Dic3⋊4D8φ: C4○D4/C22 → C22 ⊆ Aut C1296C12.142(C4oD4)192,315
C12.143(C4○D4) = D4.S3⋊C4φ: C4○D4/C22 → C22 ⊆ Aut C1296C12.143(C4oD4)192,316
C12.144(C4○D4) = Dic3⋊6SD16φ: C4○D4/C22 → C22 ⊆ Aut C1296C12.144(C4oD4)192,317
C12.145(C4○D4) = Dic3.D8φ: C4○D4/C22 → C22 ⊆ Aut C1296C12.145(C4oD4)192,318
C12.146(C4○D4) = D4⋊Dic6φ: C4○D4/C22 → C22 ⊆ Aut C1296C12.146(C4oD4)192,320
C12.147(C4○D4) = D4.Dic6φ: C4○D4/C22 → C22 ⊆ Aut C1296C12.147(C4oD4)192,322
C12.148(C4○D4) = D4.2Dic6φ: C4○D4/C22 → C22 ⊆ Aut C1296C12.148(C4oD4)192,325
C12.149(C4○D4) = D6.D8φ: C4○D4/C22 → C22 ⊆ Aut C1296C12.149(C4oD4)192,333
C12.150(C4○D4) = D6.SD16φ: C4○D4/C22 → C22 ⊆ Aut C1296C12.150(C4oD4)192,336
C12.151(C4○D4) = D6⋊C8⋊11C2φ: C4○D4/C22 → C22 ⊆ Aut C1296C12.151(C4oD4)192,338
C12.152(C4○D4) = C24⋊1C4⋊C2φ: C4○D4/C22 → C22 ⊆ Aut C1296C12.152(C4oD4)192,343
C12.153(C4○D4) = D4⋊S3⋊C4φ: C4○D4/C22 → C22 ⊆ Aut C1296C12.153(C4oD4)192,344
C12.154(C4○D4) = Dic3⋊7SD16φ: C4○D4/C22 → C22 ⊆ Aut C1296C12.154(C4oD4)192,347
C12.155(C4○D4) = C3⋊Q16⋊C4φ: C4○D4/C22 → C22 ⊆ Aut C12192C12.155(C4oD4)192,348
C12.156(C4○D4) = Dic3⋊4Q16φ: C4○D4/C22 → C22 ⊆ Aut C12192C12.156(C4oD4)192,349
C12.157(C4○D4) = Q8⋊2Dic6φ: C4○D4/C22 → C22 ⊆ Aut C12192C12.157(C4oD4)192,350
C12.158(C4○D4) = Q8⋊3Dic6φ: C4○D4/C22 → C22 ⊆ Aut C12192C12.158(C4oD4)192,352
C12.159(C4○D4) = Q8.3Dic6φ: C4○D4/C22 → C22 ⊆ Aut C12192C12.159(C4oD4)192,355
C12.160(C4○D4) = Q8.4Dic6φ: C4○D4/C22 → C22 ⊆ Aut C12192C12.160(C4oD4)192,358
C12.161(C4○D4) = D6.1SD16φ: C4○D4/C22 → C22 ⊆ Aut C1296C12.161(C4oD4)192,364
C12.162(C4○D4) = D6.Q16φ: C4○D4/C22 → C22 ⊆ Aut C1296C12.162(C4oD4)192,370
C12.163(C4○D4) = D6⋊C8.C2φ: C4○D4/C22 → C22 ⊆ Aut C1296C12.163(C4oD4)192,373
C12.164(C4○D4) = C8⋊Dic3⋊C2φ: C4○D4/C22 → C22 ⊆ Aut C1296C12.164(C4oD4)192,374
C12.165(C4○D4) = Q8⋊3(C4×S3)φ: C4○D4/C22 → C22 ⊆ Aut C1296C12.165(C4oD4)192,376
C12.166(C4○D4) = Dic6⋊Q8φ: C4○D4/C22 → C22 ⊆ Aut C12192C12.166(C4oD4)192,413
C12.167(C4○D4) = Dic6.Q8φ: C4○D4/C22 → C22 ⊆ Aut C12192C12.167(C4oD4)192,416
C12.168(C4○D4) = D12⋊Q8φ: C4○D4/C22 → C22 ⊆ Aut C1296C12.168(C4oD4)192,429
C12.169(C4○D4) = D12.Q8φ: C4○D4/C22 → C22 ⊆ Aut C1296C12.169(C4oD4)192,430
C12.170(C4○D4) = Dic3.Q16φ: C4○D4/C22 → C22 ⊆ Aut C12192C12.170(C4oD4)192,434
C12.171(C4○D4) = Dic6.2Q8φ: C4○D4/C22 → C22 ⊆ Aut C12192C12.171(C4oD4)192,436
C12.172(C4○D4) = D12⋊2Q8φ: C4○D4/C22 → C22 ⊆ Aut C1296C12.172(C4oD4)192,449
C12.173(C4○D4) = D12.2Q8φ: C4○D4/C22 → C22 ⊆ Aut C1296C12.173(C4oD4)192,450
C12.174(C4○D4) = (C2×C6).40D8φ: C4○D4/C22 → C22 ⊆ Aut C1296C12.174(C4oD4)192,526
C12.175(C4○D4) = C4⋊C4.228D6φ: C4○D4/C22 → C22 ⊆ Aut C1296C12.175(C4oD4)192,527
C12.176(C4○D4) = C4⋊C4.230D6φ: C4○D4/C22 → C22 ⊆ Aut C1296C12.176(C4oD4)192,529
C12.177(C4○D4) = C4⋊C4.231D6φ: C4○D4/C22 → C22 ⊆ Aut C1296C12.177(C4oD4)192,530
C12.178(C4○D4) = C4⋊C4.233D6φ: C4○D4/C22 → C22 ⊆ Aut C1296C12.178(C4oD4)192,555
C12.179(C4○D4) = C4⋊C4.236D6φ: C4○D4/C22 → C22 ⊆ Aut C1296C12.179(C4oD4)192,562
C12.180(C4○D4) = (C2×C6).D8φ: C4○D4/C22 → C22 ⊆ Aut C1296C12.180(C4oD4)192,592
C12.181(C4○D4) = C4⋊D4.S3φ: C4○D4/C22 → C22 ⊆ Aut C1296C12.181(C4oD4)192,593
C12.182(C4○D4) = C6.Q16⋊C2φ: C4○D4/C22 → C22 ⊆ Aut C1296C12.182(C4oD4)192,594
C12.183(C4○D4) = C3⋊C8⋊22D4φ: C4○D4/C22 → C22 ⊆ Aut C1296C12.183(C4oD4)192,597
C12.184(C4○D4) = C4⋊D4⋊S3φ: C4○D4/C22 → C22 ⊆ Aut C1296C12.184(C4oD4)192,598
C12.185(C4○D4) = C3⋊C8⋊23D4φ: C4○D4/C22 → C22 ⊆ Aut C1296C12.185(C4oD4)192,600
C12.186(C4○D4) = C3⋊C8⋊5D4φ: C4○D4/C22 → C22 ⊆ Aut C1296C12.186(C4oD4)192,601
C12.187(C4○D4) = (C2×Q8).49D6φ: C4○D4/C22 → C22 ⊆ Aut C1296C12.187(C4oD4)192,602
C12.188(C4○D4) = (C2×C6).Q16φ: C4○D4/C22 → C22 ⊆ Aut C1296C12.188(C4oD4)192,603
C12.189(C4○D4) = (C2×Q8).51D6φ: C4○D4/C22 → C22 ⊆ Aut C1296C12.189(C4oD4)192,604
C12.190(C4○D4) = C3⋊C8⋊24D4φ: C4○D4/C22 → C22 ⊆ Aut C1296C12.190(C4oD4)192,607
C12.191(C4○D4) = C3⋊C8⋊6D4φ: C4○D4/C22 → C22 ⊆ Aut C1296C12.191(C4oD4)192,608
C12.192(C4○D4) = C3⋊C8.29D4φ: C4○D4/C22 → C22 ⊆ Aut C1296C12.192(C4oD4)192,610
C12.193(C4○D4) = C3⋊C8.6D4φ: C4○D4/C22 → C22 ⊆ Aut C1296C12.193(C4oD4)192,611
C12.194(C4○D4) = C6.102+ 1+4φ: C4○D4/C22 → C22 ⊆ Aut C1296C12.194(C4oD4)192,1070
C12.195(C4○D4) = C6.52- 1+4φ: C4○D4/C22 → C22 ⊆ Aut C1296C12.195(C4oD4)192,1072
C12.196(C4○D4) = C6.112+ 1+4φ: C4○D4/C22 → C22 ⊆ Aut C1296C12.196(C4oD4)192,1073
C12.197(C4○D4) = C42.94D6φ: C4○D4/C22 → C22 ⊆ Aut C1296C12.197(C4oD4)192,1088
C12.198(C4○D4) = C42.95D6φ: C4○D4/C22 → C22 ⊆ Aut C1296C12.198(C4oD4)192,1089
C12.199(C4○D4) = C42.97D6φ: C4○D4/C22 → C22 ⊆ Aut C1296C12.199(C4oD4)192,1091
C12.200(C4○D4) = C42.98D6φ: C4○D4/C22 → C22 ⊆ Aut C1296C12.200(C4oD4)192,1092
C12.201(C4○D4) = C4⋊C4.178D6φ: C4○D4/C22 → C22 ⊆ Aut C1296C12.201(C4oD4)192,1159
C12.202(C4○D4) = C6.712- 1+4φ: C4○D4/C22 → C22 ⊆ Aut C1296C12.202(C4oD4)192,1162
C12.203(C4○D4) = C6.432+ 1+4φ: C4○D4/C22 → C22 ⊆ Aut C1296C12.203(C4oD4)192,1173
C12.204(C4○D4) = C6.452+ 1+4φ: C4○D4/C22 → C22 ⊆ Aut C1296C12.204(C4oD4)192,1175
C12.205(C4○D4) = C6.1152+ 1+4φ: C4○D4/C22 → C22 ⊆ Aut C1296C12.205(C4oD4)192,1177
C12.206(C4○D4) = C6.472+ 1+4φ: C4○D4/C22 → C22 ⊆ Aut C1296C12.206(C4oD4)192,1178
C12.207(C4○D4) = (Q8×Dic3)⋊C2φ: C4○D4/C22 → C22 ⊆ Aut C1296C12.207(C4oD4)192,1181
C12.208(C4○D4) = C4⋊C4.187D6φ: C4○D4/C22 → C22 ⊆ Aut C1296C12.208(C4oD4)192,1183
C12.209(C4○D4) = C6.152- 1+4φ: C4○D4/C22 → C22 ⊆ Aut C1296C12.209(C4oD4)192,1184
C12.210(C4○D4) = C6.1182+ 1+4φ: C4○D4/C22 → C22 ⊆ Aut C1296C12.210(C4oD4)192,1194
C12.211(C4○D4) = C6.212- 1+4φ: C4○D4/C22 → C22 ⊆ Aut C1296C12.211(C4oD4)192,1198
C12.212(C4○D4) = C6.232- 1+4φ: C4○D4/C22 → C22 ⊆ Aut C1296C12.212(C4oD4)192,1200
C12.213(C4○D4) = C6.772- 1+4φ: C4○D4/C22 → C22 ⊆ Aut C1296C12.213(C4oD4)192,1201
C12.214(C4○D4) = C6.242- 1+4φ: C4○D4/C22 → C22 ⊆ Aut C1296C12.214(C4oD4)192,1202
C12.215(C4○D4) = C12.14Q16φ: C4○D4/C2×C4 → C2 ⊆ Aut C12192C12.215(C4oD4)192,240
C12.216(C4○D4) = C4×C24⋊C2φ: C4○D4/C2×C4 → C2 ⊆ Aut C1296C12.216(C4oD4)192,250
C12.217(C4○D4) = C4×D24φ: C4○D4/C2×C4 → C2 ⊆ Aut C1296C12.217(C4oD4)192,251
C12.218(C4○D4) = C4.5D24φ: C4○D4/C2×C4 → C2 ⊆ Aut C1296C12.218(C4oD4)192,253
C12.219(C4○D4) = C42.264D6φ: C4○D4/C2×C4 → C2 ⊆ Aut C1296C12.219(C4oD4)192,256
C12.220(C4○D4) = C4×Dic12φ: C4○D4/C2×C4 → C2 ⊆ Aut C12192C12.220(C4oD4)192,257
C12.221(C4○D4) = C42.14D6φ: C4○D4/C2×C4 → C2 ⊆ Aut C12192C12.221(C4oD4)192,262
C12.222(C4○D4) = C42.16D6φ: C4○D4/C2×C4 → C2 ⊆ Aut C1296C12.222(C4oD4)192,269
C12.223(C4○D4) = D24⋊C4φ: C4○D4/C2×C4 → C2 ⊆ Aut C1296C12.223(C4oD4)192,270
C12.224(C4○D4) = C42.19D6φ: C4○D4/C2×C4 → C2 ⊆ Aut C1296C12.224(C4oD4)192,272
C12.225(C4○D4) = C42.20D6φ: C4○D4/C2×C4 → C2 ⊆ Aut C1296C12.225(C4oD4)192,273
C12.226(C4○D4) = Dic12⋊C4φ: C4○D4/C2×C4 → C2 ⊆ Aut C12192C12.226(C4oD4)192,275
C12.227(C4○D4) = C24⋊30D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C1296C12.227(C4oD4)192,673
C12.228(C4○D4) = C24⋊29D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C1296C12.228(C4oD4)192,674
C12.229(C4○D4) = C24.82D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C1296C12.229(C4oD4)192,675
C12.230(C4○D4) = C24⋊2D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C1296C12.230(C4oD4)192,693
C12.231(C4○D4) = C24⋊3D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C1296C12.231(C4oD4)192,694
C12.232(C4○D4) = C24.4D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C1296C12.232(C4oD4)192,696
C12.233(C4○D4) = C42.274D6φ: C4○D4/C2×C4 → C2 ⊆ Aut C1296C12.233(C4oD4)192,1029
C12.234(C4○D4) = C42.277D6φ: C4○D4/C2×C4 → C2 ⊆ Aut C1296C12.234(C4oD4)192,1038
C12.235(C4○D4) = C42.89D6φ: C4○D4/C2×C4 → C2 ⊆ Aut C1296C12.235(C4oD4)192,1077
C12.236(C4○D4) = C42.99D6φ: C4○D4/C2×C4 → C2 ⊆ Aut C1296C12.236(C4oD4)192,1093
C12.237(C4○D4) = C42.100D6φ: C4○D4/C2×C4 → C2 ⊆ Aut C1296C12.237(C4oD4)192,1094
C12.238(C4○D4) = C8×Dic6φ: C4○D4/C2×C4 → C2 ⊆ Aut C12192C12.238(C4oD4)192,237
C12.239(C4○D4) = C24⋊12Q8φ: C4○D4/C2×C4 → C2 ⊆ Aut C12192C12.239(C4oD4)192,238
C12.240(C4○D4) = C42.282D6φ: C4○D4/C2×C4 → C2 ⊆ Aut C1296C12.240(C4oD4)192,244
C12.241(C4○D4) = C8×D12φ: C4○D4/C2×C4 → C2 ⊆ Aut C1296C12.241(C4oD4)192,245
C12.242(C4○D4) = C8⋊6D12φ: C4○D4/C2×C4 → C2 ⊆ Aut C1296C12.242(C4oD4)192,247
C12.243(C4○D4) = C42.243D6φ: C4○D4/C2×C4 → C2 ⊆ Aut C1296C12.243(C4oD4)192,249
C12.244(C4○D4) = C24⋊Q8φ: C4○D4/C2×C4 → C2 ⊆ Aut C12192C12.244(C4oD4)192,260
C12.245(C4○D4) = C42.182D6φ: C4○D4/C2×C4 → C2 ⊆ Aut C1296C12.245(C4oD4)192,264
C12.246(C4○D4) = C8⋊9D12φ: C4○D4/C2×C4 → C2 ⊆ Aut C1296C12.246(C4oD4)192,265
C12.247(C4○D4) = C42.185D6φ: C4○D4/C2×C4 → C2 ⊆ Aut C1296C12.247(C4oD4)192,268
C12.248(C4○D4) = C42.285D6φ: C4○D4/C2×C4 → C2 ⊆ Aut C1296C12.248(C4oD4)192,484
C12.249(C4○D4) = C42.270D6φ: C4○D4/C2×C4 → C2 ⊆ Aut C1296C12.249(C4oD4)192,485
C12.250(C4○D4) = C42.187D6φ: C4○D4/C2×C4 → C2 ⊆ Aut C1296C12.250(C4oD4)192,559
C12.251(C4○D4) = C8×C3⋊D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C1296C12.251(C4oD4)192,668
C12.252(C4○D4) = C24⋊33D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C1296C12.252(C4oD4)192,670
C12.253(C4○D4) = C24⋊D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C1296C12.253(C4oD4)192,686
C12.254(C4○D4) = C24⋊21D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C1296C12.254(C4oD4)192,687
C12.255(C4○D4) = C42.93D6φ: C4○D4/C2×C4 → C2 ⊆ Aut C1296C12.255(C4oD4)192,1087
C12.256(C4○D4) = C12×D8φ: C4○D4/C2×C4 → C2 ⊆ Aut C1296C12.256(C4oD4)192,870
C12.257(C4○D4) = C12×SD16φ: C4○D4/C2×C4 → C2 ⊆ Aut C1296C12.257(C4oD4)192,871
C12.258(C4○D4) = C12×Q16φ: C4○D4/C2×C4 → C2 ⊆ Aut C12192C12.258(C4oD4)192,872
C12.259(C4○D4) = C3×SD16⋊C4φ: C4○D4/C2×C4 → C2 ⊆ Aut C1296C12.259(C4oD4)192,873
C12.260(C4○D4) = C3×Q16⋊C4φ: C4○D4/C2×C4 → C2 ⊆ Aut C12192C12.260(C4oD4)192,874
C12.261(C4○D4) = C3×D8⋊C4φ: C4○D4/C2×C4 → C2 ⊆ Aut C1296C12.261(C4oD4)192,875
C12.262(C4○D4) = C3×C8⋊8D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C1296C12.262(C4oD4)192,898
C12.263(C4○D4) = C3×C8⋊7D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C1296C12.263(C4oD4)192,899
C12.264(C4○D4) = C3×C8.18D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C1296C12.264(C4oD4)192,900
C12.265(C4○D4) = C3×C8⋊D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C1296C12.265(C4oD4)192,901
C12.266(C4○D4) = C3×C8⋊2D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C1296C12.266(C4oD4)192,902
C12.267(C4○D4) = C3×C8.D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C1296C12.267(C4oD4)192,903
C12.268(C4○D4) = C3×C4.4D8φ: C4○D4/C2×C4 → C2 ⊆ Aut C1296C12.268(C4oD4)192,919
C12.269(C4○D4) = C3×C4.SD16φ: C4○D4/C2×C4 → C2 ⊆ Aut C12192C12.269(C4oD4)192,920
C12.270(C4○D4) = C3×C42.78C22φ: C4○D4/C2×C4 → C2 ⊆ Aut C1296C12.270(C4oD4)192,921
C12.271(C4○D4) = C3×C42.28C22φ: C4○D4/C2×C4 → C2 ⊆ Aut C1296C12.271(C4oD4)192,922
C12.272(C4○D4) = C3×C42.29C22φ: C4○D4/C2×C4 → C2 ⊆ Aut C1296C12.272(C4oD4)192,923
C12.273(C4○D4) = C3×C42.30C22φ: C4○D4/C2×C4 → C2 ⊆ Aut C12192C12.273(C4oD4)192,924
C12.274(C4○D4) = C3×C23.36C23φ: C4○D4/C2×C4 → C2 ⊆ Aut C1296C12.274(C4oD4)192,1418
C12.275(C4○D4) = C3×C23.37C23φ: C4○D4/C2×C4 → C2 ⊆ Aut C1296C12.275(C4oD4)192,1422
C12.276(C4○D4) = C3×C22.34C24φ: C4○D4/C2×C4 → C2 ⊆ Aut C1296C12.276(C4oD4)192,1429
C12.277(C4○D4) = C3×C22.35C24φ: C4○D4/C2×C4 → C2 ⊆ Aut C1296C12.277(C4oD4)192,1430
C12.278(C4○D4) = C3×C22.36C24φ: C4○D4/C2×C4 → C2 ⊆ Aut C1296C12.278(C4oD4)192,1431
C12.279(C4○D4) = C23.39D12φ: C4○D4/D4 → C2 ⊆ Aut C1296C12.279(C4oD4)192,280
C12.280(C4○D4) = C23.40D12φ: C4○D4/D4 → C2 ⊆ Aut C1296C12.280(C4oD4)192,281
C12.281(C4○D4) = C23.15D12φ: C4○D4/D4 → C2 ⊆ Aut C1296C12.281(C4oD4)192,282
C12.282(C4○D4) = C23.43D12φ: C4○D4/D4 → C2 ⊆ Aut C1296C12.282(C4oD4)192,294
C12.283(C4○D4) = C22.D24φ: C4○D4/D4 → C2 ⊆ Aut C1296C12.283(C4oD4)192,295
C12.284(C4○D4) = C23.18D12φ: C4○D4/D4 → C2 ⊆ Aut C1296C12.284(C4oD4)192,296
C12.285(C4○D4) = Dic6.3Q8φ: C4○D4/D4 → C2 ⊆ Aut C12192C12.285(C4oD4)192,388
C12.286(C4○D4) = D12⋊3Q8φ: C4○D4/D4 → C2 ⊆ Aut C1296C12.286(C4oD4)192,401
C12.287(C4○D4) = D12⋊4Q8φ: C4○D4/D4 → C2 ⊆ Aut C1296C12.287(C4oD4)192,405
C12.288(C4○D4) = D12.3Q8φ: C4○D4/D4 → C2 ⊆ Aut C1296C12.288(C4oD4)192,406
C12.289(C4○D4) = Dic6⋊3Q8φ: C4○D4/D4 → C2 ⊆ Aut C12192C12.289(C4oD4)192,409
C12.290(C4○D4) = Dic6⋊4Q8φ: C4○D4/D4 → C2 ⊆ Aut C12192C12.290(C4oD4)192,410
C12.291(C4○D4) = C42.105D6φ: C4○D4/D4 → C2 ⊆ Aut C1296C12.291(C4oD4)192,1100
C12.292(C4○D4) = D4⋊6Dic6φ: C4○D4/D4 → C2 ⊆ Aut C1296C12.292(C4oD4)192,1102
C12.293(C4○D4) = C42.119D6φ: C4○D4/D4 → C2 ⊆ Aut C1296C12.293(C4oD4)192,1124
C12.294(C4○D4) = Dic3.5M4(2)φ: C4○D4/D4 → C2 ⊆ Aut C1296C12.294(C4oD4)192,277
C12.295(C4○D4) = Dic3.M4(2)φ: C4○D4/D4 → C2 ⊆ Aut C1296C12.295(C4oD4)192,278
C12.296(C4○D4) = C24⋊C4⋊C2φ: C4○D4/D4 → C2 ⊆ Aut C1296C12.296(C4oD4)192,279
C12.297(C4○D4) = C3⋊D4⋊C8φ: C4○D4/D4 → C2 ⊆ Aut C1296C12.297(C4oD4)192,284
C12.298(C4○D4) = D6⋊2M4(2)φ: C4○D4/D4 → C2 ⊆ Aut C1296C12.298(C4oD4)192,287
C12.299(C4○D4) = Dic3⋊M4(2)φ: C4○D4/D4 → C2 ⊆ Aut C1296C12.299(C4oD4)192,288
C12.300(C4○D4) = C3⋊C8⋊26D4φ: C4○D4/D4 → C2 ⊆ Aut C1296C12.300(C4oD4)192,289
C12.301(C4○D4) = C42.27D6φ: C4○D4/D4 → C2 ⊆ Aut C12192C12.301(C4oD4)192,387
C12.302(C4○D4) = Dic6⋊C8φ: C4○D4/D4 → C2 ⊆ Aut C12192C12.302(C4oD4)192,389
C12.303(C4○D4) = C42.198D6φ: C4○D4/D4 → C2 ⊆ Aut C12192C12.303(C4oD4)192,390
C12.304(C4○D4) = C42.200D6φ: C4○D4/D4 → C2 ⊆ Aut C1296C12.304(C4oD4)192,392
C12.305(C4○D4) = C42.202D6φ: C4○D4/D4 → C2 ⊆ Aut C1296C12.305(C4oD4)192,394
C12.306(C4○D4) = D4×C3⋊C8φ: C4○D4/D4 → C2 ⊆ Aut C1296C12.306(C4oD4)192,569
C12.307(C4○D4) = C42.47D6φ: C4○D4/D4 → C2 ⊆ Aut C1296C12.307(C4oD4)192,570
C12.308(C4○D4) = C12⋊3M4(2)φ: C4○D4/D4 → C2 ⊆ Aut C1296C12.308(C4oD4)192,571
C12.309(C4○D4) = C42.102D6φ: C4○D4/D4 → C2 ⊆ Aut C1296C12.309(C4oD4)192,1097
C12.310(C4○D4) = C42.229D6φ: C4○D4/D4 → C2 ⊆ Aut C1296C12.310(C4oD4)192,1116
C12.311(C4○D4) = C3×D4⋊Q8φ: C4○D4/D4 → C2 ⊆ Aut C1296C12.311(C4oD4)192,907
C12.312(C4○D4) = C3×Q8⋊Q8φ: C4○D4/D4 → C2 ⊆ Aut C12192C12.312(C4oD4)192,908
C12.313(C4○D4) = C3×D4⋊2Q8φ: C4○D4/D4 → C2 ⊆ Aut C1296C12.313(C4oD4)192,909
C12.314(C4○D4) = C3×C4.Q16φ: C4○D4/D4 → C2 ⊆ Aut C12192C12.314(C4oD4)192,910
C12.315(C4○D4) = C3×D4.Q8φ: C4○D4/D4 → C2 ⊆ Aut C1296C12.315(C4oD4)192,911
C12.316(C4○D4) = C3×Q8.Q8φ: C4○D4/D4 → C2 ⊆ Aut C12192C12.316(C4oD4)192,912
C12.317(C4○D4) = C3×C22.D8φ: C4○D4/D4 → C2 ⊆ Aut C1296C12.317(C4oD4)192,913
C12.318(C4○D4) = C3×C23.46D4φ: C4○D4/D4 → C2 ⊆ Aut C1296C12.318(C4oD4)192,914
C12.319(C4○D4) = C3×C23.19D4φ: C4○D4/D4 → C2 ⊆ Aut C1296C12.319(C4oD4)192,915
C12.320(C4○D4) = C3×C23.47D4φ: C4○D4/D4 → C2 ⊆ Aut C1296C12.320(C4oD4)192,916
C12.321(C4○D4) = C3×C23.48D4φ: C4○D4/D4 → C2 ⊆ Aut C1296C12.321(C4oD4)192,917
C12.322(C4○D4) = C3×C23.20D4φ: C4○D4/D4 → C2 ⊆ Aut C1296C12.322(C4oD4)192,918
C12.323(C4○D4) = C3×C22.46C24φ: C4○D4/D4 → C2 ⊆ Aut C1296C12.323(C4oD4)192,1441
C12.324(C4○D4) = C3×C22.47C24φ: C4○D4/D4 → C2 ⊆ Aut C1296C12.324(C4oD4)192,1442
C12.325(C4○D4) = C3×D4⋊3Q8φ: C4○D4/D4 → C2 ⊆ Aut C1296C12.325(C4oD4)192,1443
C12.326(C4○D4) = C3×C22.49C24φ: C4○D4/D4 → C2 ⊆ Aut C1296C12.326(C4oD4)192,1444
C12.327(C4○D4) = C12⋊SD16φ: C4○D4/Q8 → C2 ⊆ Aut C1296C12.327(C4oD4)192,400
C12.328(C4○D4) = C4⋊D24φ: C4○D4/Q8 → C2 ⊆ Aut C1296C12.328(C4oD4)192,402
C12.329(C4○D4) = D12.19D4φ: C4○D4/Q8 → C2 ⊆ Aut C1296C12.329(C4oD4)192,403
C12.330(C4○D4) = C42.36D6φ: C4○D4/Q8 → C2 ⊆ Aut C1296C12.330(C4oD4)192,404
C12.331(C4○D4) = Dic6⋊8D4φ: C4○D4/Q8 → C2 ⊆ Aut C1296C12.331(C4oD4)192,407
C12.332(C4○D4) = C4⋊Dic12φ: C4○D4/Q8 → C2 ⊆ Aut C12192C12.332(C4oD4)192,408
C12.333(C4○D4) = Q8⋊7Dic6φ: C4○D4/Q8 → C2 ⊆ Aut C12192C12.333(C4oD4)192,1129
C12.334(C4○D4) = D12⋊C8φ: C4○D4/Q8 → C2 ⊆ Aut C1296C12.334(C4oD4)192,393
C12.335(C4○D4) = D6⋊3M4(2)φ: C4○D4/Q8 → C2 ⊆ Aut C1296C12.335(C4oD4)192,395
C12.336(C4○D4) = C12⋊2M4(2)φ: C4○D4/Q8 → C2 ⊆ Aut C1296C12.336(C4oD4)192,397
C12.337(C4○D4) = C42.31D6φ: C4○D4/Q8 → C2 ⊆ Aut C1296C12.337(C4oD4)192,399
C12.338(C4○D4) = Q8×C3⋊C8φ: C4○D4/Q8 → C2 ⊆ Aut C12192C12.338(C4oD4)192,582
C12.339(C4○D4) = C42.210D6φ: C4○D4/Q8 → C2 ⊆ Aut C12192C12.339(C4oD4)192,583
C12.340(C4○D4) = C42.131D6φ: C4○D4/Q8 → C2 ⊆ Aut C1296C12.340(C4oD4)192,1139
C12.341(C4○D4) = C3×C4⋊D8φ: C4○D4/Q8 → C2 ⊆ Aut C1296C12.341(C4oD4)192,892
C12.342(C4○D4) = C3×C4⋊SD16φ: C4○D4/Q8 → C2 ⊆ Aut C1296C12.342(C4oD4)192,893
C12.343(C4○D4) = C3×D4.D4φ: C4○D4/Q8 → C2 ⊆ Aut C1296C12.343(C4oD4)192,894
C12.344(C4○D4) = C3×C4⋊2Q16φ: C4○D4/Q8 → C2 ⊆ Aut C12192C12.344(C4oD4)192,895
C12.345(C4○D4) = C3×D4.2D4φ: C4○D4/Q8 → C2 ⊆ Aut C1296C12.345(C4oD4)192,896
C12.346(C4○D4) = C3×Q8.D4φ: C4○D4/Q8 → C2 ⊆ Aut C1296C12.346(C4oD4)192,897
C12.347(C4○D4) = C3×C22.50C24φ: C4○D4/Q8 → C2 ⊆ Aut C1296C12.347(C4oD4)192,1445
C12.348(C4○D4) = C3×Q8⋊3Q8φ: C4○D4/Q8 → C2 ⊆ Aut C12192C12.348(C4oD4)192,1446
C12.349(C4○D4) = C3×C22.53C24φ: C4○D4/Q8 → C2 ⊆ Aut C1296C12.349(C4oD4)192,1448
C12.350(C4○D4) = C3×C42.12C4central extension (φ=1)96C12.350(C4oD4)192,864
C12.351(C4○D4) = C3×C42.6C4central extension (φ=1)96C12.351(C4oD4)192,865
C12.352(C4○D4) = C3×C42.7C22central extension (φ=1)96C12.352(C4oD4)192,866
C12.353(C4○D4) = D4×C24central extension (φ=1)96C12.353(C4oD4)192,867
C12.354(C4○D4) = C3×C8⋊9D4central extension (φ=1)96C12.354(C4oD4)192,868
C12.355(C4○D4) = C3×C8⋊6D4central extension (φ=1)96C12.355(C4oD4)192,869
C12.356(C4○D4) = Q8×C24central extension (φ=1)192C12.356(C4oD4)192,878
C12.357(C4○D4) = C3×C8⋊4Q8central extension (φ=1)192C12.357(C4oD4)192,879

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