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Extensions 1→N→G→Q→1 with N=C62 and Q=C2×C4

Direct product G=N×Q with N=C62 and Q=C2×C4
dρLabelID
C22×C6×C12288C2^2xC6xC12288,1018

Semidirect products G=N:Q with N=C62 and Q=C2×C4
extensionφ:Q→Aut NdρLabelID
C62⋊(C2×C4) = D4×C32⋊C4φ: C2×C4/C1 → C2×C4 ⊆ Aut C62248+C6^2:(C2xC4)288,936
C62⋊2(C2×C4) = C2×C62⋊C4φ: C2×C4/C2 → C4 ⊆ Aut C6224C6^2:2(C2xC4)288,941
C62⋊3(C2×C4) = C23×C32⋊C4φ: C2×C4/C2 → C4 ⊆ Aut C6248C6^2:3(C2xC4)288,1039
C62⋊4(C2×C4) = C62.94C23φ: C2×C4/C2 → C22 ⊆ Aut C6248C6^2:4(C2xC4)288,600
C62⋊5(C2×C4) = S3×C6.D4φ: C2×C4/C2 → C22 ⊆ Aut C6248C6^2:5(C2xC4)288,616
C62⋊6(C2×C4) = Dic3×C3⋊D4φ: C2×C4/C2 → C22 ⊆ Aut C6248C6^2:6(C2xC4)288,620
C62⋊7(C2×C4) = C62.115C23φ: C2×C4/C2 → C22 ⊆ Aut C6248C6^2:7(C2xC4)288,621
C62⋊8(C2×C4) = C62.116C23φ: C2×C4/C2 → C22 ⊆ Aut C6224C6^2:8(C2xC4)288,622
C62⋊9(C2×C4) = C3×S3×C22⋊C4φ: C2×C4/C2 → C22 ⊆ Aut C6248C6^2:9(C2xC4)288,651
C62⋊10(C2×C4) = C3×Dic3⋊4D4φ: C2×C4/C2 → C22 ⊆ Aut C6248C6^2:10(C2xC4)288,652
C62⋊11(C2×C4) = C3×D4×Dic3φ: C2×C4/C2 → C22 ⊆ Aut C6248C6^2:11(C2xC4)288,705
C62⋊12(C2×C4) = C22⋊C4×C3⋊S3φ: C2×C4/C2 → C22 ⊆ Aut C6272C6^2:12(C2xC4)288,737
C62⋊13(C2×C4) = C62.225C23φ: C2×C4/C2 → C22 ⊆ Aut C62144C6^2:13(C2xC4)288,738
C62⋊14(C2×C4) = D4×C3⋊Dic3φ: C2×C4/C2 → C22 ⊆ Aut C62144C6^2:14(C2xC4)288,791
C62⋊15(C2×C4) = C22×S3×Dic3φ: C2×C4/C2 → C22 ⊆ Aut C6296C6^2:15(C2xC4)288,969
C62⋊16(C2×C4) = C22×C6.D6φ: C2×C4/C2 → C22 ⊆ Aut C6248C6^2:16(C2xC4)288,972
C62⋊17(C2×C4) = D4×C3×C12φ: C2×C4/C4 → C2 ⊆ Aut C62144C6^2:17(C2xC4)288,815
C62⋊18(C2×C4) = C12×C3⋊D4φ: C2×C4/C4 → C2 ⊆ Aut C6248C6^2:18(C2xC4)288,699
C62⋊19(C2×C4) = C4×C32⋊7D4φ: C2×C4/C4 → C2 ⊆ Aut C62144C6^2:19(C2xC4)288,785
C62⋊20(C2×C4) = S3×C22×C12φ: C2×C4/C4 → C2 ⊆ Aut C6296C6^2:20(C2xC4)288,989
C62⋊21(C2×C4) = C22×C4×C3⋊S3φ: C2×C4/C4 → C2 ⊆ Aut C62144C6^2:21(C2xC4)288,1004
C62⋊22(C2×C4) = C22⋊C4×C3×C6φ: C2×C4/C22 → C2 ⊆ Aut C62144C6^2:22(C2xC4)288,812
C62⋊23(C2×C4) = C6×C6.D4φ: C2×C4/C22 → C2 ⊆ Aut C6248C6^2:23(C2xC4)288,723
C62⋊24(C2×C4) = C2×C62⋊5C4φ: C2×C4/C22 → C2 ⊆ Aut C62144C6^2:24(C2xC4)288,809
C62⋊25(C2×C4) = Dic3×C22×C6φ: C2×C4/C22 → C2 ⊆ Aut C6296C6^2:25(C2xC4)288,1001
C62⋊26(C2×C4) = C23×C3⋊Dic3φ: C2×C4/C22 → C2 ⊆ Aut C62288C6^2:26(C2xC4)288,1016

Non-split extensions G=N.Q with N=C62 and Q=C2×C4
extensionφ:Q→Aut NdρLabelID
C62.(C2×C4) = C62.(C2×C4)φ: C2×C4/C1 → C2×C4 ⊆ Aut C62488-C6^2.(C2xC4)288,935
C62.2(C2×C4) = (C6×C12)⋊C4φ: C2×C4/C2 → C4 ⊆ Aut C62244+C6^2.2(C2xC4)288,422
C62.3(C2×C4) = C4×C32⋊2C8φ: C2×C4/C2 → C4 ⊆ Aut C6296C6^2.3(C2xC4)288,423
C62.4(C2×C4) = (C3×C12)⋊4C8φ: C2×C4/C2 → C4 ⊆ Aut C6296C6^2.4(C2xC4)288,424
C62.5(C2×C4) = C32⋊2C8⋊C4φ: C2×C4/C2 → C4 ⊆ Aut C6296C6^2.5(C2xC4)288,425
C62.6(C2×C4) = C62.6(C2×C4)φ: C2×C4/C2 → C4 ⊆ Aut C6248C6^2.6(C2xC4)288,426
C62.7(C2×C4) = C32⋊5(C4⋊C8)φ: C2×C4/C2 → C4 ⊆ Aut C6296C6^2.7(C2xC4)288,427
C62.8(C2×C4) = C3⋊Dic3.D4φ: C2×C4/C2 → C4 ⊆ Aut C62484-C6^2.8(C2xC4)288,428
C62.9(C2×C4) = (C6×C12)⋊2C4φ: C2×C4/C2 → C4 ⊆ Aut C6248C6^2.9(C2xC4)288,429
C62.10(C2×C4) = (C2×C62)⋊C4φ: C2×C4/C2 → C4 ⊆ Aut C62244C6^2.10(C2xC4)288,434
C62.11(C2×C4) = C62⋊3C8φ: C2×C4/C2 → C4 ⊆ Aut C6248C6^2.11(C2xC4)288,435
C62.12(C2×C4) = (C2×C62).C4φ: C2×C4/C2 → C4 ⊆ Aut C62244C6^2.12(C2xC4)288,436
C62.13(C2×C4) = C2×C3⋊S3⋊3C8φ: C2×C4/C2 → C4 ⊆ Aut C6248C6^2.13(C2xC4)288,929
C62.14(C2×C4) = C2×C32⋊M4(2)φ: C2×C4/C2 → C4 ⊆ Aut C6248C6^2.14(C2xC4)288,930
C62.15(C2×C4) = C3⋊S3⋊M4(2)φ: C2×C4/C2 → C4 ⊆ Aut C62244C6^2.15(C2xC4)288,931
C62.16(C2×C4) = C2×C4×C32⋊C4φ: C2×C4/C2 → C4 ⊆ Aut C6248C6^2.16(C2xC4)288,932
C62.17(C2×C4) = C2×C4⋊(C32⋊C4)φ: C2×C4/C2 → C4 ⊆ Aut C6248C6^2.17(C2xC4)288,933
C62.18(C2×C4) = (C6×C12)⋊5C4φ: C2×C4/C2 → C4 ⊆ Aut C62244C6^2.18(C2xC4)288,934
C62.19(C2×C4) = C22×C32⋊2C8φ: C2×C4/C2 → C4 ⊆ Aut C6296C6^2.19(C2xC4)288,939
C62.20(C2×C4) = C2×C62.C4φ: C2×C4/C2 → C4 ⊆ Aut C6248C6^2.20(C2xC4)288,940
C62.21(C2×C4) = Dic3×C3⋊C8φ: C2×C4/C2 → C22 ⊆ Aut C6296C6^2.21(C2xC4)288,200
C62.22(C2×C4) = C6.(S3×C8)φ: C2×C4/C2 → C22 ⊆ Aut C6296C6^2.22(C2xC4)288,201
C62.23(C2×C4) = C3⋊C8⋊Dic3φ: C2×C4/C2 → C22 ⊆ Aut C6296C6^2.23(C2xC4)288,202
C62.24(C2×C4) = C2.Dic32φ: C2×C4/C2 → C22 ⊆ Aut C6296C6^2.24(C2xC4)288,203
C62.25(C2×C4) = C12.77D12φ: C2×C4/C2 → C22 ⊆ Aut C6296C6^2.25(C2xC4)288,204
C62.26(C2×C4) = C12.78D12φ: C2×C4/C2 → C22 ⊆ Aut C6248C6^2.26(C2xC4)288,205
C62.27(C2×C4) = C12.D12φ: C2×C4/C2 → C22 ⊆ Aut C62484C6^2.27(C2xC4)288,206
C62.28(C2×C4) = C12.70D12φ: C2×C4/C2 → C22 ⊆ Aut C62244+C6^2.28(C2xC4)288,207
C62.29(C2×C4) = C12.14D12φ: C2×C4/C2 → C22 ⊆ Aut C62484C6^2.29(C2xC4)288,208
C62.30(C2×C4) = C12.71D12φ: C2×C4/C2 → C22 ⊆ Aut C62484-C6^2.30(C2xC4)288,209
C62.31(C2×C4) = C12.81D12φ: C2×C4/C2 → C22 ⊆ Aut C6296C6^2.31(C2xC4)288,219
C62.32(C2×C4) = C12.15Dic6φ: C2×C4/C2 → C22 ⊆ Aut C6296C6^2.32(C2xC4)288,220
C62.33(C2×C4) = C62.6Q8φ: C2×C4/C2 → C22 ⊆ Aut C6296C6^2.33(C2xC4)288,227
C62.34(C2×C4) = C62.31D4φ: C2×C4/C2 → C22 ⊆ Aut C62244C6^2.34(C2xC4)288,228
C62.35(C2×C4) = C62.32D4φ: C2×C4/C2 → C22 ⊆ Aut C62244C6^2.35(C2xC4)288,229
C62.36(C2×C4) = C3×C23.6D6φ: C2×C4/C2 → C22 ⊆ Aut C62244C6^2.36(C2xC4)288,240
C62.37(C2×C4) = C3×C12.46D4φ: C2×C4/C2 → C22 ⊆ Aut C62484C6^2.37(C2xC4)288,257
C62.38(C2×C4) = C3×C12.47D4φ: C2×C4/C2 → C22 ⊆ Aut C62484C6^2.38(C2xC4)288,258
C62.39(C2×C4) = C62.110D4φ: C2×C4/C2 → C22 ⊆ Aut C6272C6^2.39(C2xC4)288,281
C62.40(C2×C4) = C12.19D12φ: C2×C4/C2 → C22 ⊆ Aut C6272C6^2.40(C2xC4)288,298
C62.41(C2×C4) = C12.20D12φ: C2×C4/C2 → C22 ⊆ Aut C62144C6^2.41(C2xC4)288,299
C62.42(C2×C4) = C2×S3×C3⋊C8φ: C2×C4/C2 → C22 ⊆ Aut C6296C6^2.42(C2xC4)288,460
C62.43(C2×C4) = S3×C4.Dic3φ: C2×C4/C2 → C22 ⊆ Aut C62484C6^2.43(C2xC4)288,461
C62.44(C2×C4) = D12.2Dic3φ: C2×C4/C2 → C22 ⊆ Aut C62484C6^2.44(C2xC4)288,462
C62.45(C2×C4) = D12.Dic3φ: C2×C4/C2 → C22 ⊆ Aut C62484C6^2.45(C2xC4)288,463
C62.46(C2×C4) = C2×C12.29D6φ: C2×C4/C2 → C22 ⊆ Aut C6248C6^2.46(C2xC4)288,464
C62.47(C2×C4) = C3⋊C8.22D6φ: C2×C4/C2 → C22 ⊆ Aut C62484C6^2.47(C2xC4)288,465
C62.48(C2×C4) = C3⋊C8⋊20D6φ: C2×C4/C2 → C22 ⊆ Aut C62244C6^2.48(C2xC4)288,466
C62.49(C2×C4) = C2×D6.Dic3φ: C2×C4/C2 → C22 ⊆ Aut C6296C6^2.49(C2xC4)288,467
C62.50(C2×C4) = C2×C12.31D6φ: C2×C4/C2 → C22 ⊆ Aut C6248C6^2.50(C2xC4)288,468
C62.51(C2×C4) = C2×Dic32φ: C2×C4/C2 → C22 ⊆ Aut C6296C6^2.51(C2xC4)288,602
C62.52(C2×C4) = C62.97C23φ: C2×C4/C2 → C22 ⊆ Aut C6248C6^2.52(C2xC4)288,603
C62.53(C2×C4) = C62.99C23φ: C2×C4/C2 → C22 ⊆ Aut C6248C6^2.53(C2xC4)288,605
C62.54(C2×C4) = C2×D6⋊Dic3φ: C2×C4/C2 → C22 ⊆ Aut C6296C6^2.54(C2xC4)288,608
C62.55(C2×C4) = C2×C6.D12φ: C2×C4/C2 → C22 ⊆ Aut C6248C6^2.55(C2xC4)288,611
C62.56(C2×C4) = C2×Dic3⋊Dic3φ: C2×C4/C2 → C22 ⊆ Aut C6296C6^2.56(C2xC4)288,613
C62.57(C2×C4) = C2×C62.C22φ: C2×C4/C2 → C22 ⊆ Aut C6296C6^2.57(C2xC4)288,615
C62.58(C2×C4) = C3×C23.16D6φ: C2×C4/C2 → C22 ⊆ Aut C6248C6^2.58(C2xC4)288,648
C62.59(C2×C4) = C3×S3×M4(2)φ: C2×C4/C2 → C22 ⊆ Aut C62484C6^2.59(C2xC4)288,677
C62.60(C2×C4) = C3×D12.C4φ: C2×C4/C2 → C22 ⊆ Aut C62484C6^2.60(C2xC4)288,678
C62.61(C2×C4) = C3×D4.Dic3φ: C2×C4/C2 → C22 ⊆ Aut C62484C6^2.61(C2xC4)288,719
C62.62(C2×C4) = C62.221C23φ: C2×C4/C2 → C22 ⊆ Aut C62144C6^2.62(C2xC4)288,734
C62.63(C2×C4) = M4(2)×C3⋊S3φ: C2×C4/C2 → C22 ⊆ Aut C6272C6^2.63(C2xC4)288,763
C62.64(C2×C4) = C24.47D6φ: C2×C4/C2 → C22 ⊆ Aut C62144C6^2.64(C2xC4)288,764
C62.65(C2×C4) = D4.(C3⋊Dic3)φ: C2×C4/C2 → C22 ⊆ Aut C62144C6^2.65(C2xC4)288,805
C62.66(C2×C4) = C32×C8○D4φ: C2×C4/C4 → C2 ⊆ Aut C62144C6^2.66(C2xC4)288,828
C62.67(C2×C4) = Dic3×C24φ: C2×C4/C4 → C2 ⊆ Aut C6296C6^2.67(C2xC4)288,247
C62.68(C2×C4) = C3×Dic3⋊C8φ: C2×C4/C4 → C2 ⊆ Aut C6296C6^2.68(C2xC4)288,248
C62.69(C2×C4) = C3×C24⋊C4φ: C2×C4/C4 → C2 ⊆ Aut C6296C6^2.69(C2xC4)288,249
C62.70(C2×C4) = C3×D6⋊C8φ: C2×C4/C4 → C2 ⊆ Aut C6296C6^2.70(C2xC4)288,254
C62.71(C2×C4) = C8×C3⋊Dic3φ: C2×C4/C4 → C2 ⊆ Aut C62288C6^2.71(C2xC4)288,288
C62.72(C2×C4) = C12.30Dic6φ: C2×C4/C4 → C2 ⊆ Aut C62288C6^2.72(C2xC4)288,289
C62.73(C2×C4) = C24⋊Dic3φ: C2×C4/C4 → C2 ⊆ Aut C62288C6^2.73(C2xC4)288,290
C62.74(C2×C4) = C12.60D12φ: C2×C4/C4 → C2 ⊆ Aut C62144C6^2.74(C2xC4)288,295
C62.75(C2×C4) = C62.15Q8φ: C2×C4/C4 → C2 ⊆ Aut C62288C6^2.75(C2xC4)288,306
C62.76(C2×C4) = S3×C2×C24φ: C2×C4/C4 → C2 ⊆ Aut C6296C6^2.76(C2xC4)288,670
C62.77(C2×C4) = C6×C8⋊S3φ: C2×C4/C4 → C2 ⊆ Aut C6296C6^2.77(C2xC4)288,671
C62.78(C2×C4) = C3×C8○D12φ: C2×C4/C4 → C2 ⊆ Aut C62482C6^2.78(C2xC4)288,672
C62.79(C2×C4) = Dic3×C2×C12φ: C2×C4/C4 → C2 ⊆ Aut C6296C6^2.79(C2xC4)288,693
C62.80(C2×C4) = C6×Dic3⋊C4φ: C2×C4/C4 → C2 ⊆ Aut C6296C6^2.80(C2xC4)288,694
C62.81(C2×C4) = C6×D6⋊C4φ: C2×C4/C4 → C2 ⊆ Aut C6296C6^2.81(C2xC4)288,698
C62.82(C2×C4) = C2×C8×C3⋊S3φ: C2×C4/C4 → C2 ⊆ Aut C62144C6^2.82(C2xC4)288,756
C62.83(C2×C4) = C2×C24⋊S3φ: C2×C4/C4 → C2 ⊆ Aut C62144C6^2.83(C2xC4)288,757
C62.84(C2×C4) = C24.95D6φ: C2×C4/C4 → C2 ⊆ Aut C62144C6^2.84(C2xC4)288,758
C62.85(C2×C4) = C2×C4×C3⋊Dic3φ: C2×C4/C4 → C2 ⊆ Aut C62288C6^2.85(C2xC4)288,779
C62.86(C2×C4) = C2×C6.Dic6φ: C2×C4/C4 → C2 ⊆ Aut C62288C6^2.86(C2xC4)288,780
C62.87(C2×C4) = C2×C6.11D12φ: C2×C4/C4 → C2 ⊆ Aut C62144C6^2.87(C2xC4)288,784
C62.88(C2×C4) = C32×C23⋊C4φ: C2×C4/C22 → C2 ⊆ Aut C6272C6^2.88(C2xC4)288,317
C62.89(C2×C4) = C32×C4.D4φ: C2×C4/C22 → C2 ⊆ Aut C6272C6^2.89(C2xC4)288,318
C62.90(C2×C4) = C32×C4.10D4φ: C2×C4/C22 → C2 ⊆ Aut C62144C6^2.90(C2xC4)288,319
C62.91(C2×C4) = C32×C42⋊C2φ: C2×C4/C22 → C2 ⊆ Aut C62144C6^2.91(C2xC4)288,814
C62.92(C2×C4) = C12×C3⋊C8φ: C2×C4/C22 → C2 ⊆ Aut C6296C6^2.92(C2xC4)288,236
C62.93(C2×C4) = C3×C42.S3φ: C2×C4/C22 → C2 ⊆ Aut C6296C6^2.93(C2xC4)288,237
C62.94(C2×C4) = C3×C12⋊C8φ: C2×C4/C22 → C2 ⊆ Aut C6296C6^2.94(C2xC4)288,238
C62.95(C2×C4) = C3×C12.55D4φ: C2×C4/C22 → C2 ⊆ Aut C6248C6^2.95(C2xC4)288,264
C62.96(C2×C4) = C3×C6.C42φ: C2×C4/C22 → C2 ⊆ Aut C6296C6^2.96(C2xC4)288,265
C62.97(C2×C4) = C3×C12.D4φ: C2×C4/C22 → C2 ⊆ Aut C62244C6^2.97(C2xC4)288,267
C62.98(C2×C4) = C3×C23.7D6φ: C2×C4/C22 → C2 ⊆ Aut C62244C6^2.98(C2xC4)288,268
C62.99(C2×C4) = C3×C12.10D4φ: C2×C4/C22 → C2 ⊆ Aut C62484C6^2.99(C2xC4)288,270
C62.100(C2×C4) = C4×C32⋊4C8φ: C2×C4/C22 → C2 ⊆ Aut C62288C6^2.100(C2xC4)288,277
C62.101(C2×C4) = C122.C2φ: C2×C4/C22 → C2 ⊆ Aut C62288C6^2.101(C2xC4)288,278
C62.102(C2×C4) = C12.57D12φ: C2×C4/C22 → C2 ⊆ Aut C62288C6^2.102(C2xC4)288,279
C62.103(C2×C4) = C62⋊7C8φ: C2×C4/C22 → C2 ⊆ Aut C62144C6^2.103(C2xC4)288,305
C62.104(C2×C4) = (C6×D4).S3φ: C2×C4/C22 → C2 ⊆ Aut C6272C6^2.104(C2xC4)288,308
C62.105(C2×C4) = C62.38D4φ: C2×C4/C22 → C2 ⊆ Aut C6272C6^2.105(C2xC4)288,309
C62.106(C2×C4) = (C6×C12).C4φ: C2×C4/C22 → C2 ⊆ Aut C62144C6^2.106(C2xC4)288,311
C62.107(C2×C4) = C2×C6×C3⋊C8φ: C2×C4/C22 → C2 ⊆ Aut C6296C6^2.107(C2xC4)288,691
C62.108(C2×C4) = C6×C4.Dic3φ: C2×C4/C22 → C2 ⊆ Aut C6248C6^2.108(C2xC4)288,692
C62.109(C2×C4) = C6×C4⋊Dic3φ: C2×C4/C22 → C2 ⊆ Aut C6296C6^2.109(C2xC4)288,696
C62.110(C2×C4) = C3×C23.26D6φ: C2×C4/C22 → C2 ⊆ Aut C6248C6^2.110(C2xC4)288,697
C62.111(C2×C4) = C22×C32⋊4C8φ: C2×C4/C22 → C2 ⊆ Aut C62288C6^2.111(C2xC4)288,777
C62.112(C2×C4) = C2×C12.58D6φ: C2×C4/C22 → C2 ⊆ Aut C62144C6^2.112(C2xC4)288,778
C62.113(C2×C4) = C2×C12⋊Dic3φ: C2×C4/C22 → C2 ⊆ Aut C62288C6^2.113(C2xC4)288,782
C62.114(C2×C4) = C62.247C23φ: C2×C4/C22 → C2 ⊆ Aut C62144C6^2.114(C2xC4)288,783
C62.115(C2×C4) = C32×C2.C42central extension (φ=1)288C6^2.115(C2xC4)288,313
C62.116(C2×C4) = C32×C8⋊C4central extension (φ=1)288C6^2.116(C2xC4)288,315
C62.117(C2×C4) = C32×C22⋊C8central extension (φ=1)144C6^2.117(C2xC4)288,316
C62.118(C2×C4) = C32×C4⋊C8central extension (φ=1)288C6^2.118(C2xC4)288,323
C62.119(C2×C4) = C4⋊C4×C3×C6central extension (φ=1)288C6^2.119(C2xC4)288,813
C62.120(C2×C4) = M4(2)×C3×C6central extension (φ=1)144C6^2.120(C2xC4)288,827

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