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Extensions 1→N→G→Q→1 with N=C6 and Q=C4⋊Q8

Direct product G=N×Q with N=C6 and Q=C4⋊Q8
dρLabelID
C6×C4⋊Q8192C6xC4:Q8192,1420

Semidirect products G=N:Q with N=C6 and Q=C4⋊Q8
extensionφ:Q→Aut NdρLabelID
C6⋊1(C4⋊Q8) = C2×C12⋊2Q8φ: C4⋊Q8/C42 → C2 ⊆ Aut C6192C6:1(C4:Q8)192,1027
C6⋊2(C4⋊Q8) = C2×C12⋊Q8φ: C4⋊Q8/C4⋊C4 → C2 ⊆ Aut C6192C6:2(C4:Q8)192,1056
C6⋊3(C4⋊Q8) = C2×Dic3⋊Q8φ: C4⋊Q8/C2×Q8 → C2 ⊆ Aut C6192C6:3(C4:Q8)192,1369

Non-split extensions G=N.Q with N=C6 and Q=C4⋊Q8
extensionφ:Q→Aut NdρLabelID
C6.1(C4⋊Q8) = (C22×C4).85D6φ: C4⋊Q8/C42 → C2 ⊆ Aut C6192C6.1(C4:Q8)192,220
C6.2(C4⋊Q8) = C24⋊9Q8φ: C4⋊Q8/C42 → C2 ⊆ Aut C6192C6.2(C4:Q8)192,239
C6.3(C4⋊Q8) = C24⋊8Q8φ: C4⋊Q8/C42 → C2 ⊆ Aut C6192C6.3(C4:Q8)192,241
C6.4(C4⋊Q8) = C24.13Q8φ: C4⋊Q8/C42 → C2 ⊆ Aut C6192C6.4(C4:Q8)192,242
C6.5(C4⋊Q8) = C8⋊Dic6φ: C4⋊Q8/C42 → C2 ⊆ Aut C6192C6.5(C4:Q8)192,261
C6.6(C4⋊Q8) = C12⋊4(C4⋊C4)φ: C4⋊Q8/C42 → C2 ⊆ Aut C6192C6.6(C4:Q8)192,487
C6.7(C4⋊Q8) = (C2×Dic6)⋊7C4φ: C4⋊Q8/C42 → C2 ⊆ Aut C6192C6.7(C4:Q8)192,488
C6.8(C4⋊Q8) = C42⋊10Dic3φ: C4⋊Q8/C42 → C2 ⊆ Aut C6192C6.8(C4:Q8)192,494
C6.9(C4⋊Q8) = (C2×C12)⋊Q8φ: C4⋊Q8/C4⋊C4 → C2 ⊆ Aut C6192C6.9(C4:Q8)192,205
C6.10(C4⋊Q8) = C6.(C4×Q8)φ: C4⋊Q8/C4⋊C4 → C2 ⊆ Aut C6192C6.10(C4:Q8)192,206
C6.11(C4⋊Q8) = (C2×C4)⋊Dic6φ: C4⋊Q8/C4⋊C4 → C2 ⊆ Aut C6192C6.11(C4:Q8)192,215
C6.12(C4⋊Q8) = C6.(C4⋊Q8)φ: C4⋊Q8/C4⋊C4 → C2 ⊆ Aut C6192C6.12(C4:Q8)192,216
C6.13(C4⋊Q8) = C24⋊5Q8φ: C4⋊Q8/C4⋊C4 → C2 ⊆ Aut C6192C6.13(C4:Q8)192,414
C6.14(C4⋊Q8) = C24⋊3Q8φ: C4⋊Q8/C4⋊C4 → C2 ⊆ Aut C6192C6.14(C4:Q8)192,415
C6.15(C4⋊Q8) = C8.8Dic6φ: C4⋊Q8/C4⋊C4 → C2 ⊆ Aut C6192C6.15(C4:Q8)192,417
C6.16(C4⋊Q8) = C24⋊2Q8φ: C4⋊Q8/C4⋊C4 → C2 ⊆ Aut C6192C6.16(C4:Q8)192,433
C6.17(C4⋊Q8) = C24⋊4Q8φ: C4⋊Q8/C4⋊C4 → C2 ⊆ Aut C6192C6.17(C4:Q8)192,435
C6.18(C4⋊Q8) = C8.6Dic6φ: C4⋊Q8/C4⋊C4 → C2 ⊆ Aut C6192C6.18(C4:Q8)192,437
C6.19(C4⋊Q8) = C12⋊(C4⋊C4)φ: C4⋊Q8/C4⋊C4 → C2 ⊆ Aut C6192C6.19(C4:Q8)192,531
C6.20(C4⋊Q8) = (C4×Dic3)⋊8C4φ: C4⋊Q8/C4⋊C4 → C2 ⊆ Aut C6192C6.20(C4:Q8)192,534
C6.21(C4⋊Q8) = (C2×Dic3)⋊Q8φ: C4⋊Q8/C4⋊C4 → C2 ⊆ Aut C6192C6.21(C4:Q8)192,538
C6.22(C4⋊Q8) = (C2×C12).54D4φ: C4⋊Q8/C4⋊C4 → C2 ⊆ Aut C6192C6.22(C4:Q8)192,541
C6.23(C4⋊Q8) = C4⋊C4⋊6Dic3φ: C4⋊Q8/C4⋊C4 → C2 ⊆ Aut C6192C6.23(C4:Q8)192,543
C6.24(C4⋊Q8) = C4.(D6⋊C4)φ: C4⋊Q8/C2×Q8 → C2 ⊆ Aut C6192C6.24(C4:Q8)192,532
C6.25(C4⋊Q8) = Dic3⋊(C4⋊C4)φ: C4⋊Q8/C2×Q8 → C2 ⊆ Aut C6192C6.25(C4:Q8)192,535
C6.26(C4⋊Q8) = (C2×C4).44D12φ: C4⋊Q8/C2×Q8 → C2 ⊆ Aut C6192C6.26(C4:Q8)192,540
C6.27(C4⋊Q8) = (C2×Dic3).Q8φ: C4⋊Q8/C2×Q8 → C2 ⊆ Aut C6192C6.27(C4:Q8)192,542
C6.28(C4⋊Q8) = C42.68D6φ: C4⋊Q8/C2×Q8 → C2 ⊆ Aut C6192C6.28(C4:Q8)192,623
C6.29(C4⋊Q8) = C42.215D6φ: C4⋊Q8/C2×Q8 → C2 ⊆ Aut C6192C6.29(C4:Q8)192,624
C6.30(C4⋊Q8) = C12.17D8φ: C4⋊Q8/C2×Q8 → C2 ⊆ Aut C6192C6.30(C4:Q8)192,637
C6.31(C4⋊Q8) = C12.SD16φ: C4⋊Q8/C2×Q8 → C2 ⊆ Aut C6192C6.31(C4:Q8)192,639
C6.32(C4⋊Q8) = C42.76D6φ: C4⋊Q8/C2×Q8 → C2 ⊆ Aut C6192C6.32(C4:Q8)192,640
C6.33(C4⋊Q8) = (C6×Q8)⋊7C4φ: C4⋊Q8/C2×Q8 → C2 ⊆ Aut C6192C6.33(C4:Q8)192,788
C6.34(C4⋊Q8) = C22.52(S3×Q8)φ: C4⋊Q8/C2×Q8 → C2 ⊆ Aut C6192C6.34(C4:Q8)192,789
C6.35(C4⋊Q8) = C3×C42⋊9C4central extension (φ=1)192C6.35(C4:Q8)192,817
C6.36(C4⋊Q8) = C3×C23.65C23central extension (φ=1)192C6.36(C4:Q8)192,822
C6.37(C4⋊Q8) = C3×C23.67C23central extension (φ=1)192C6.37(C4:Q8)192,824
C6.38(C4⋊Q8) = C3×C23.78C23central extension (φ=1)192C6.38(C4:Q8)192,828
C6.39(C4⋊Q8) = C3×C23.81C23central extension (φ=1)192C6.39(C4:Q8)192,831
C6.40(C4⋊Q8) = C3×C8⋊3Q8central extension (φ=1)192C6.40(C4:Q8)192,931
C6.41(C4⋊Q8) = C3×C8.5Q8central extension (φ=1)192C6.41(C4:Q8)192,932
C6.42(C4⋊Q8) = C3×C8⋊2Q8central extension (φ=1)192C6.42(C4:Q8)192,933
C6.43(C4⋊Q8) = C3×C8⋊Q8central extension (φ=1)192C6.43(C4:Q8)192,934

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