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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
C6×C22⋊C896C6xC2^2:C8192,839

Semidirect products G=N:Q with N=C6 and Q=C22⋊C8
extensionφ:Q→Aut NdρLabelID
C6⋊1(C22⋊C8) = C2×D6⋊C8φ: C22⋊C8/C2×C8 → C2 ⊆ Aut C696C6:1(C2^2:C8)192,667
C6⋊2(C22⋊C8) = C2×C12.55D4φ: C22⋊C8/C22×C4 → C2 ⊆ Aut C696C6:2(C2^2:C8)192,765

Non-split extensions G=N.Q with N=C6 and Q=C22⋊C8
extensionφ:Q→Aut NdρLabelID
C6.1(C22⋊C8) = C4.8Dic12φ: C22⋊C8/C2×C8 → C2 ⊆ Aut C6192C6.1(C2^2:C8)192,15
C6.2(C22⋊C8) = C4.17D24φ: C22⋊C8/C2×C8 → C2 ⊆ Aut C696C6.2(C2^2:C8)192,18
C6.3(C22⋊C8) = (C22×S3)⋊C8φ: C22⋊C8/C2×C8 → C2 ⊆ Aut C648C6.3(C2^2:C8)192,27
C6.4(C22⋊C8) = (C2×Dic3)⋊C8φ: C22⋊C8/C2×C8 → C2 ⊆ Aut C696C6.4(C2^2:C8)192,28
C6.5(C22⋊C8) = D12⋊2C8φ: C22⋊C8/C2×C8 → C2 ⊆ Aut C696C6.5(C2^2:C8)192,42
C6.6(C22⋊C8) = Dic6⋊2C8φ: C22⋊C8/C2×C8 → C2 ⊆ Aut C6192C6.6(C2^2:C8)192,43
C6.7(C22⋊C8) = D6⋊C16φ: C22⋊C8/C2×C8 → C2 ⊆ Aut C696C6.7(C2^2:C8)192,66
C6.8(C22⋊C8) = D12.C8φ: C22⋊C8/C2×C8 → C2 ⊆ Aut C6962C6.8(C2^2:C8)192,67
C6.9(C22⋊C8) = C8.25D12φ: C22⋊C8/C2×C8 → C2 ⊆ Aut C6484C6.9(C2^2:C8)192,73
C6.10(C22⋊C8) = Dic6.C8φ: C22⋊C8/C2×C8 → C2 ⊆ Aut C6964C6.10(C2^2:C8)192,74
C6.11(C22⋊C8) = (C2×C24)⋊5C4φ: C22⋊C8/C2×C8 → C2 ⊆ Aut C6192C6.11(C2^2:C8)192,109
C6.12(C22⋊C8) = (C2×C12)⋊3C8φ: C22⋊C8/C22×C4 → C2 ⊆ Aut C6192C6.12(C2^2:C8)192,83
C6.13(C22⋊C8) = C24.3Dic3φ: C22⋊C8/C22×C4 → C2 ⊆ Aut C648C6.13(C2^2:C8)192,84
C6.14(C22⋊C8) = (C2×C12)⋊C8φ: C22⋊C8/C22×C4 → C2 ⊆ Aut C696C6.14(C2^2:C8)192,87
C6.15(C22⋊C8) = C12.57D8φ: C22⋊C8/C22×C4 → C2 ⊆ Aut C696C6.15(C2^2:C8)192,93
C6.16(C22⋊C8) = C12.26Q16φ: C22⋊C8/C22×C4 → C2 ⊆ Aut C6192C6.16(C2^2:C8)192,94
C6.17(C22⋊C8) = C24.98D4φ: C22⋊C8/C22×C4 → C2 ⊆ Aut C696C6.17(C2^2:C8)192,108
C6.18(C22⋊C8) = C24.D4φ: C22⋊C8/C22×C4 → C2 ⊆ Aut C6484C6.18(C2^2:C8)192,112
C6.19(C22⋊C8) = C24.99D4φ: C22⋊C8/C22×C4 → C2 ⊆ Aut C6964C6.19(C2^2:C8)192,120
C6.20(C22⋊C8) = C3×C23⋊C8central extension (φ=1)48C6.20(C2^2:C8)192,129
C6.21(C22⋊C8) = C3×C22.M4(2)central extension (φ=1)96C6.21(C2^2:C8)192,130
C6.22(C22⋊C8) = C3×D4⋊C8central extension (φ=1)96C6.22(C2^2:C8)192,131
C6.23(C22⋊C8) = C3×Q8⋊C8central extension (φ=1)192C6.23(C2^2:C8)192,132
C6.24(C22⋊C8) = C3×C22.7C42central extension (φ=1)192C6.24(C2^2:C8)192,142
C6.25(C22⋊C8) = C3×C22⋊C16central extension (φ=1)96C6.25(C2^2:C8)192,154
C6.26(C22⋊C8) = C3×C23.C8central extension (φ=1)484C6.26(C2^2:C8)192,155
C6.27(C22⋊C8) = C3×D4.C8central extension (φ=1)962C6.27(C2^2:C8)192,156

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