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Extensions 1→N→G→Q→1 with N=C6 and Q=C22×C8

Direct product G=N×Q with N=C6 and Q=C22×C8
dρLabelID
C23×C24192C2^3xC24192,1454

Semidirect products G=N:Q with N=C6 and Q=C22×C8
extensionφ:Q→Aut NdρLabelID
C6⋊1(C22×C8) = S3×C22×C8φ: C22×C8/C2×C8 → C2 ⊆ Aut C696C6:1(C2^2xC8)192,1295
C6⋊2(C22×C8) = C23×C3⋊C8φ: C22×C8/C22×C4 → C2 ⊆ Aut C6192C6:2(C2^2xC8)192,1339

Non-split extensions G=N.Q with N=C6 and Q=C22×C8
extensionφ:Q→Aut NdρLabelID
C6.1(C22×C8) = C8×Dic6φ: C22×C8/C2×C8 → C2 ⊆ Aut C6192C6.1(C2^2xC8)192,237
C6.2(C22×C8) = S3×C4×C8φ: C22×C8/C2×C8 → C2 ⊆ Aut C696C6.2(C2^2xC8)192,243
C6.3(C22×C8) = C42.282D6φ: C22×C8/C2×C8 → C2 ⊆ Aut C696C6.3(C2^2xC8)192,244
C6.4(C22×C8) = C8×D12φ: C22×C8/C2×C8 → C2 ⊆ Aut C696C6.4(C2^2xC8)192,245
C6.5(C22×C8) = Dic3.5M4(2)φ: C22×C8/C2×C8 → C2 ⊆ Aut C696C6.5(C2^2xC8)192,277
C6.6(C22×C8) = S3×C22⋊C8φ: C22×C8/C2×C8 → C2 ⊆ Aut C648C6.6(C2^2xC8)192,283
C6.7(C22×C8) = C3⋊D4⋊C8φ: C22×C8/C2×C8 → C2 ⊆ Aut C696C6.7(C2^2xC8)192,284
C6.8(C22×C8) = Dic6⋊C8φ: C22×C8/C2×C8 → C2 ⊆ Aut C6192C6.8(C2^2xC8)192,389
C6.9(C22×C8) = S3×C4⋊C8φ: C22×C8/C2×C8 → C2 ⊆ Aut C696C6.9(C2^2xC8)192,391
C6.10(C22×C8) = C42.200D6φ: C22×C8/C2×C8 → C2 ⊆ Aut C696C6.10(C2^2xC8)192,392
C6.11(C22×C8) = D12⋊C8φ: C22×C8/C2×C8 → C2 ⊆ Aut C696C6.11(C2^2xC8)192,393
C6.12(C22×C8) = S3×C2×C16φ: C22×C8/C2×C8 → C2 ⊆ Aut C696C6.12(C2^2xC8)192,458
C6.13(C22×C8) = C2×D6.C8φ: C22×C8/C2×C8 → C2 ⊆ Aut C696C6.13(C2^2xC8)192,459
C6.14(C22×C8) = D12.4C8φ: C22×C8/C2×C8 → C2 ⊆ Aut C6962C6.14(C2^2xC8)192,460
C6.15(C22×C8) = S3×M5(2)φ: C22×C8/C2×C8 → C2 ⊆ Aut C6484C6.15(C2^2xC8)192,465
C6.16(C22×C8) = C16.12D6φ: C22×C8/C2×C8 → C2 ⊆ Aut C6964C6.16(C2^2xC8)192,466
C6.17(C22×C8) = Dic3×C2×C8φ: C22×C8/C2×C8 → C2 ⊆ Aut C6192C6.17(C2^2xC8)192,657
C6.18(C22×C8) = C2×Dic3⋊C8φ: C22×C8/C2×C8 → C2 ⊆ Aut C6192C6.18(C2^2xC8)192,658
C6.19(C22×C8) = C2×D6⋊C8φ: C22×C8/C2×C8 → C2 ⊆ Aut C696C6.19(C2^2xC8)192,667
C6.20(C22×C8) = C8×C3⋊D4φ: C22×C8/C2×C8 → C2 ⊆ Aut C696C6.20(C2^2xC8)192,668
C6.21(C22×C8) = C2×C4×C3⋊C8φ: C22×C8/C22×C4 → C2 ⊆ Aut C6192C6.21(C2^2xC8)192,479
C6.22(C22×C8) = C2×C12⋊C8φ: C22×C8/C22×C4 → C2 ⊆ Aut C6192C6.22(C2^2xC8)192,482
C6.23(C22×C8) = C42.285D6φ: C22×C8/C22×C4 → C2 ⊆ Aut C696C6.23(C2^2xC8)192,484
C6.24(C22×C8) = D4×C3⋊C8φ: C22×C8/C22×C4 → C2 ⊆ Aut C696C6.24(C2^2xC8)192,569
C6.25(C22×C8) = Q8×C3⋊C8φ: C22×C8/C22×C4 → C2 ⊆ Aut C6192C6.25(C2^2xC8)192,582
C6.26(C22×C8) = C22×C3⋊C16φ: C22×C8/C22×C4 → C2 ⊆ Aut C6192C6.26(C2^2xC8)192,655
C6.27(C22×C8) = C2×C12.C8φ: C22×C8/C22×C4 → C2 ⊆ Aut C696C6.27(C2^2xC8)192,656
C6.28(C22×C8) = C24.78C23φ: C22×C8/C22×C4 → C2 ⊆ Aut C6964C6.28(C2^2xC8)192,699
C6.29(C22×C8) = C2×C12.55D4φ: C22×C8/C22×C4 → C2 ⊆ Aut C696C6.29(C2^2xC8)192,765
C6.30(C22×C8) = C6×C22⋊C8central extension (φ=1)96C6.30(C2^2xC8)192,839
C6.31(C22×C8) = C6×C4⋊C8central extension (φ=1)192C6.31(C2^2xC8)192,855
C6.32(C22×C8) = C3×C42.12C4central extension (φ=1)96C6.32(C2^2xC8)192,864
C6.33(C22×C8) = D4×C24central extension (φ=1)96C6.33(C2^2xC8)192,867
C6.34(C22×C8) = Q8×C24central extension (φ=1)192C6.34(C2^2xC8)192,878
C6.35(C22×C8) = C6×M5(2)central extension (φ=1)96C6.35(C2^2xC8)192,936
C6.36(C22×C8) = C3×D4○C16central extension (φ=1)962C6.36(C2^2xC8)192,937

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