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Extensions 1→N→G→Q→1 with N=C62 and Q=C2×C6

Direct product G=N×Q with N=C62 and Q=C2×C6
dρLabelID
C2×C63432C2xC6^3432,775

Semidirect products G=N:Q with N=C62 and Q=C2×C6
extensionφ:Q→Aut NdρLabelID
C62⋊1(C2×C6) = D4×C32⋊C6φ: C2×C6/C1 → C2×C6 ⊆ Aut C623612+C6^2:1(C2xC6)432,360
C62⋊2(C2×C6) = S32×A4φ: C2×C6/C1 → C2×C6 ⊆ Aut C622412+C6^2:2(C2xC6)432,749
C62⋊3(C2×C6) = C2×D4×He3φ: C2×C6/C2 → C6 ⊆ Aut C6272C6^2:3(C2xC6)432,404
C62⋊4(C2×C6) = C2×He3⋊6D4φ: C2×C6/C2 → C6 ⊆ Aut C6272C6^2:4(C2xC6)432,377
C62⋊5(C2×C6) = C2×C62⋊C6φ: C2×C6/C2 → C6 ⊆ Aut C62186+C6^2:5(C2xC6)432,542
C62⋊6(C2×C6) = C23×C32⋊C6φ: C2×C6/C2 → C6 ⊆ Aut C6272C6^2:6(C2xC6)432,558
C62⋊7(C2×C6) = S3×C6×A4φ: C2×C6/C2 → C6 ⊆ Aut C62366C6^2:7(C2xC6)432,763
C62⋊8(C2×C6) = C2×A4×C3⋊S3φ: C2×C6/C2 → C6 ⊆ Aut C6254C6^2:8(C2xC6)432,764
C62⋊9(C2×C6) = C3×S3×C3⋊D4φ: C2×C6/C3 → C22 ⊆ Aut C62244C6^2:9(C2xC6)432,658
C62⋊10(C2×C6) = C3×Dic3⋊D6φ: C2×C6/C3 → C22 ⊆ Aut C62244C6^2:10(C2xC6)432,659
C62⋊11(C2×C6) = S3×D4×C32φ: C2×C6/C3 → C22 ⊆ Aut C6272C6^2:11(C2xC6)432,704
C62⋊12(C2×C6) = C3×D4×C3⋊S3φ: C2×C6/C3 → C22 ⊆ Aut C6272C6^2:12(C2xC6)432,714
C62⋊13(C2×C6) = S32×C2×C6φ: C2×C6/C3 → C22 ⊆ Aut C6248C6^2:13(C2xC6)432,767
C62⋊14(C2×C6) = C22×C32⋊A4φ: C2×C6/C22 → C3 ⊆ Aut C6236C6^2:14(C2xC6)432,550
C62⋊15(C2×C6) = C24×He3φ: C2×C6/C22 → C3 ⊆ Aut C62144C6^2:15(C2xC6)432,563
C62⋊16(C2×C6) = A4×C62φ: C2×C6/C22 → C3 ⊆ Aut C62108C6^2:16(C2xC6)432,770
C62⋊17(C2×C6) = D4×C32×C6φ: C2×C6/C6 → C2 ⊆ Aut C62216C6^2:17(C2xC6)432,731
C62⋊18(C2×C6) = C3×C6×C3⋊D4φ: C2×C6/C6 → C2 ⊆ Aut C6272C6^2:18(C2xC6)432,709
C62⋊19(C2×C6) = C6×C32⋊7D4φ: C2×C6/C6 → C2 ⊆ Aut C6272C6^2:19(C2xC6)432,719
C62⋊20(C2×C6) = S3×C2×C62φ: C2×C6/C6 → C2 ⊆ Aut C62144C6^2:20(C2xC6)432,772
C62⋊21(C2×C6) = C3⋊S3×C22×C6φ: C2×C6/C6 → C2 ⊆ Aut C62144C6^2:21(C2xC6)432,773

Non-split extensions G=N.Q with N=C62 and Q=C2×C6
extensionφ:Q→Aut NdρLabelID
C62.(C2×C6) = C62.13D6φ: C2×C6/C1 → C2×C6 ⊆ Aut C627212-C6^2.(C2xC6)432,361
C62.2(C2×C6) = C4○D4×He3φ: C2×C6/C2 → C6 ⊆ Aut C62726C6^2.2(C2xC6)432,410
C62.3(C2×C6) = C4○D4×3- 1+2φ: C2×C6/C2 → C6 ⊆ Aut C62726C6^2.3(C2xC6)432,411
C62.4(C2×C6) = C4×C32⋊C12φ: C2×C6/C2 → C6 ⊆ Aut C62144C6^2.4(C2xC6)432,138
C62.5(C2×C6) = C62.19D6φ: C2×C6/C2 → C6 ⊆ Aut C62144C6^2.5(C2xC6)432,139
C62.6(C2×C6) = C62.20D6φ: C2×C6/C2 → C6 ⊆ Aut C62144C6^2.6(C2xC6)432,140
C62.7(C2×C6) = C62.21D6φ: C2×C6/C2 → C6 ⊆ Aut C6272C6^2.7(C2xC6)432,141
C62.8(C2×C6) = C62⋊3C12φ: C2×C6/C2 → C6 ⊆ Aut C6272C6^2.8(C2xC6)432,166
C62.9(C2×C6) = C2×He3⋊3Q8φ: C2×C6/C2 → C6 ⊆ Aut C62144C6^2.9(C2xC6)432,348
C62.10(C2×C6) = C2×C4×C32⋊C6φ: C2×C6/C2 → C6 ⊆ Aut C6272C6^2.10(C2xC6)432,349
C62.11(C2×C6) = C2×He3⋊4D4φ: C2×C6/C2 → C6 ⊆ Aut C6272C6^2.11(C2xC6)432,350
C62.12(C2×C6) = C62.36D6φ: C2×C6/C2 → C6 ⊆ Aut C62726C6^2.12(C2xC6)432,351
C62.13(C2×C6) = C22×C32⋊C12φ: C2×C6/C2 → C6 ⊆ Aut C62144C6^2.13(C2xC6)432,376
C62.14(C2×C6) = C2×S3×C3.A4φ: C2×C6/C2 → C6 ⊆ Aut C62366C6^2.14(C2xC6)432,541
C62.15(C2×C6) = S3×D4×C9φ: C2×C6/C3 → C22 ⊆ Aut C62724C6^2.15(C2xC6)432,358
C62.16(C2×C6) = C9×D4⋊2S3φ: C2×C6/C3 → C22 ⊆ Aut C62724C6^2.16(C2xC6)432,359
C62.17(C2×C6) = C3×Dic32φ: C2×C6/C3 → C22 ⊆ Aut C6248C6^2.17(C2xC6)432,425
C62.18(C2×C6) = C3×D6⋊Dic3φ: C2×C6/C3 → C22 ⊆ Aut C6248C6^2.18(C2xC6)432,426
C62.19(C2×C6) = C3×C6.D12φ: C2×C6/C3 → C22 ⊆ Aut C6248C6^2.19(C2xC6)432,427
C62.20(C2×C6) = C3×Dic3⋊Dic3φ: C2×C6/C3 → C22 ⊆ Aut C6248C6^2.20(C2xC6)432,428
C62.21(C2×C6) = C3×C62.C22φ: C2×C6/C3 → C22 ⊆ Aut C6248C6^2.21(C2xC6)432,429
C62.22(C2×C6) = S3×C6×Dic3φ: C2×C6/C3 → C22 ⊆ Aut C6248C6^2.22(C2xC6)432,651
C62.23(C2×C6) = C3×D6.3D6φ: C2×C6/C3 → C22 ⊆ Aut C62244C6^2.23(C2xC6)432,652
C62.24(C2×C6) = C3×D6.4D6φ: C2×C6/C3 → C22 ⊆ Aut C62244C6^2.24(C2xC6)432,653
C62.25(C2×C6) = C6×C6.D6φ: C2×C6/C3 → C22 ⊆ Aut C6248C6^2.25(C2xC6)432,654
C62.26(C2×C6) = C6×D6⋊S3φ: C2×C6/C3 → C22 ⊆ Aut C6248C6^2.26(C2xC6)432,655
C62.27(C2×C6) = C6×C3⋊D12φ: C2×C6/C3 → C22 ⊆ Aut C6248C6^2.27(C2xC6)432,656
C62.28(C2×C6) = C6×C32⋊2Q8φ: C2×C6/C3 → C22 ⊆ Aut C6248C6^2.28(C2xC6)432,657
C62.29(C2×C6) = C32×D4⋊2S3φ: C2×C6/C3 → C22 ⊆ Aut C6272C6^2.29(C2xC6)432,705
C62.30(C2×C6) = C3×C12.D6φ: C2×C6/C3 → C22 ⊆ Aut C6272C6^2.30(C2xC6)432,715
C62.31(C2×C6) = C42×He3φ: C2×C6/C22 → C3 ⊆ Aut C62144C6^2.31(C2xC6)432,201
C62.32(C2×C6) = C42×3- 1+2φ: C2×C6/C22 → C3 ⊆ Aut C62144C6^2.32(C2xC6)432,202
C62.33(C2×C6) = C22⋊C4×He3φ: C2×C6/C22 → C3 ⊆ Aut C6272C6^2.33(C2xC6)432,204
C62.34(C2×C6) = C22⋊C4×3- 1+2φ: C2×C6/C22 → C3 ⊆ Aut C6272C6^2.34(C2xC6)432,205
C62.35(C2×C6) = C4⋊C4×He3φ: C2×C6/C22 → C3 ⊆ Aut C62144C6^2.35(C2xC6)432,207
C62.36(C2×C6) = C4⋊C4×3- 1+2φ: C2×C6/C22 → C3 ⊆ Aut C62144C6^2.36(C2xC6)432,208
C62.37(C2×C6) = C22×C4×He3φ: C2×C6/C22 → C3 ⊆ Aut C62144C6^2.37(C2xC6)432,401
C62.38(C2×C6) = C22×C4×3- 1+2φ: C2×C6/C22 → C3 ⊆ Aut C62144C6^2.38(C2xC6)432,402
C62.39(C2×C6) = C2×D4×3- 1+2φ: C2×C6/C22 → C3 ⊆ Aut C6272C6^2.39(C2xC6)432,405
C62.40(C2×C6) = C2×Q8×He3φ: C2×C6/C22 → C3 ⊆ Aut C62144C6^2.40(C2xC6)432,407
C62.41(C2×C6) = C2×Q8×3- 1+2φ: C2×C6/C22 → C3 ⊆ Aut C62144C6^2.41(C2xC6)432,408
C62.42(C2×C6) = C2×C6×C3.A4φ: C2×C6/C22 → C3 ⊆ Aut C62108C6^2.42(C2xC6)432,548
C62.43(C2×C6) = C22×C32.A4φ: C2×C6/C22 → C3 ⊆ Aut C6236C6^2.43(C2xC6)432,549
C62.44(C2×C6) = C24×3- 1+2φ: C2×C6/C22 → C3 ⊆ Aut C62144C6^2.44(C2xC6)432,564
C62.45(C2×C6) = D4×C3×C18φ: C2×C6/C6 → C2 ⊆ Aut C62216C6^2.45(C2xC6)432,403
C62.46(C2×C6) = C4○D4×C3×C9φ: C2×C6/C6 → C2 ⊆ Aut C62216C6^2.46(C2xC6)432,409
C62.47(C2×C6) = C4○D4×C33φ: C2×C6/C6 → C2 ⊆ Aut C62216C6^2.47(C2xC6)432,733
C62.48(C2×C6) = Dic3×C36φ: C2×C6/C6 → C2 ⊆ Aut C62144C6^2.48(C2xC6)432,131
C62.49(C2×C6) = C9×Dic3⋊C4φ: C2×C6/C6 → C2 ⊆ Aut C62144C6^2.49(C2xC6)432,132
C62.50(C2×C6) = C9×C4⋊Dic3φ: C2×C6/C6 → C2 ⊆ Aut C62144C6^2.50(C2xC6)432,133
C62.51(C2×C6) = C9×D6⋊C4φ: C2×C6/C6 → C2 ⊆ Aut C62144C6^2.51(C2xC6)432,135
C62.52(C2×C6) = C9×C6.D4φ: C2×C6/C6 → C2 ⊆ Aut C6272C6^2.52(C2xC6)432,165
C62.53(C2×C6) = C18×Dic6φ: C2×C6/C6 → C2 ⊆ Aut C62144C6^2.53(C2xC6)432,341
C62.54(C2×C6) = S3×C2×C36φ: C2×C6/C6 → C2 ⊆ Aut C62144C6^2.54(C2xC6)432,345
C62.55(C2×C6) = C18×D12φ: C2×C6/C6 → C2 ⊆ Aut C62144C6^2.55(C2xC6)432,346
C62.56(C2×C6) = C9×C4○D12φ: C2×C6/C6 → C2 ⊆ Aut C62722C6^2.56(C2xC6)432,347
C62.57(C2×C6) = Dic3×C2×C18φ: C2×C6/C6 → C2 ⊆ Aut C62144C6^2.57(C2xC6)432,373
C62.58(C2×C6) = C18×C3⋊D4φ: C2×C6/C6 → C2 ⊆ Aut C6272C6^2.58(C2xC6)432,375
C62.59(C2×C6) = Dic3×C3×C12φ: C2×C6/C6 → C2 ⊆ Aut C62144C6^2.59(C2xC6)432,471
C62.60(C2×C6) = C32×Dic3⋊C4φ: C2×C6/C6 → C2 ⊆ Aut C62144C6^2.60(C2xC6)432,472
C62.61(C2×C6) = C32×C4⋊Dic3φ: C2×C6/C6 → C2 ⊆ Aut C62144C6^2.61(C2xC6)432,473
C62.62(C2×C6) = C32×D6⋊C4φ: C2×C6/C6 → C2 ⊆ Aut C62144C6^2.62(C2xC6)432,474
C62.63(C2×C6) = C32×C6.D4φ: C2×C6/C6 → C2 ⊆ Aut C6272C6^2.63(C2xC6)432,479
C62.64(C2×C6) = C12×C3⋊Dic3φ: C2×C6/C6 → C2 ⊆ Aut C62144C6^2.64(C2xC6)432,487
C62.65(C2×C6) = C3×C6.Dic6φ: C2×C6/C6 → C2 ⊆ Aut C62144C6^2.65(C2xC6)432,488
C62.66(C2×C6) = C3×C12⋊Dic3φ: C2×C6/C6 → C2 ⊆ Aut C62144C6^2.66(C2xC6)432,489
C62.67(C2×C6) = C3×C6.11D12φ: C2×C6/C6 → C2 ⊆ Aut C62144C6^2.67(C2xC6)432,490
C62.68(C2×C6) = C3×C62⋊5C4φ: C2×C6/C6 → C2 ⊆ Aut C6272C6^2.68(C2xC6)432,495
C62.69(C2×C6) = S3×C22×C18φ: C2×C6/C6 → C2 ⊆ Aut C62144C6^2.69(C2xC6)432,557
C62.70(C2×C6) = C3×C6×Dic6φ: C2×C6/C6 → C2 ⊆ Aut C62144C6^2.70(C2xC6)432,700
C62.71(C2×C6) = S3×C6×C12φ: C2×C6/C6 → C2 ⊆ Aut C62144C6^2.71(C2xC6)432,701
C62.72(C2×C6) = C3×C6×D12φ: C2×C6/C6 → C2 ⊆ Aut C62144C6^2.72(C2xC6)432,702
C62.73(C2×C6) = C32×C4○D12φ: C2×C6/C6 → C2 ⊆ Aut C6272C6^2.73(C2xC6)432,703
C62.74(C2×C6) = Dic3×C62φ: C2×C6/C6 → C2 ⊆ Aut C62144C6^2.74(C2xC6)432,708
C62.75(C2×C6) = C6×C32⋊4Q8φ: C2×C6/C6 → C2 ⊆ Aut C62144C6^2.75(C2xC6)432,710
C62.76(C2×C6) = C3⋊S3×C2×C12φ: C2×C6/C6 → C2 ⊆ Aut C62144C6^2.76(C2xC6)432,711
C62.77(C2×C6) = C6×C12⋊S3φ: C2×C6/C6 → C2 ⊆ Aut C62144C6^2.77(C2xC6)432,712
C62.78(C2×C6) = C3×C12.59D6φ: C2×C6/C6 → C2 ⊆ Aut C6272C6^2.78(C2xC6)432,713
C62.79(C2×C6) = C2×C6×C3⋊Dic3φ: C2×C6/C6 → C2 ⊆ Aut C62144C6^2.79(C2xC6)432,718
C62.80(C2×C6) = C22⋊C4×C3×C9central extension (φ=1)216C6^2.80(C2xC6)432,203
C62.81(C2×C6) = C4⋊C4×C3×C9central extension (φ=1)432C6^2.81(C2xC6)432,206
C62.82(C2×C6) = Q8×C3×C18central extension (φ=1)432C6^2.82(C2xC6)432,406
C62.83(C2×C6) = C22⋊C4×C33central extension (φ=1)216C6^2.83(C2xC6)432,513
C62.84(C2×C6) = C4⋊C4×C33central extension (φ=1)432C6^2.84(C2xC6)432,514
C62.85(C2×C6) = Q8×C32×C6central extension (φ=1)432C6^2.85(C2xC6)432,732

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