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Extensions 1→N→G→Q→1 with N=C6 and Q=C9⋊D4

Direct product G=N×Q with N=C6 and Q=C9⋊D4
dρLabelID
C6×C9⋊D472C6xC9:D4432,374

Semidirect products G=N:Q with N=C6 and Q=C9⋊D4
extensionφ:Q→Aut NdρLabelID
C6⋊1(C9⋊D4) = C2×C9⋊D12φ: C9⋊D4/Dic9 → C2 ⊆ Aut C672C6:1(C9:D4)432,312
C6⋊2(C9⋊D4) = C2×D6⋊D9φ: C9⋊D4/D18 → C2 ⊆ Aut C6144C6:2(C9:D4)432,311
C6⋊3(C9⋊D4) = C2×C6.D18φ: C9⋊D4/C2×C18 → C2 ⊆ Aut C6216C6:3(C9:D4)432,397

Non-split extensions G=N.Q with N=C6 and Q=C9⋊D4
extensionφ:Q→Aut NdρLabelID
C6.1(C9⋊D4) = C9⋊D24φ: C9⋊D4/Dic9 → C2 ⊆ Aut C6724+C6.1(C9:D4)432,69
C6.2(C9⋊D4) = C36.D6φ: C9⋊D4/Dic9 → C2 ⊆ Aut C61444-C6.2(C9:D4)432,71
C6.3(C9⋊D4) = C18.D12φ: C9⋊D4/Dic9 → C2 ⊆ Aut C6724+C6.3(C9:D4)432,73
C6.4(C9⋊D4) = C9⋊Dic12φ: C9⋊D4/Dic9 → C2 ⊆ Aut C61444-C6.4(C9:D4)432,75
C6.5(C9⋊D4) = Dic9⋊Dic3φ: C9⋊D4/Dic9 → C2 ⊆ Aut C6144C6.5(C9:D4)432,88
C6.6(C9⋊D4) = C6.18D36φ: C9⋊D4/Dic9 → C2 ⊆ Aut C672C6.6(C9:D4)432,92
C6.7(C9⋊D4) = D6⋊Dic9φ: C9⋊D4/Dic9 → C2 ⊆ Aut C6144C6.7(C9:D4)432,93
C6.8(C9⋊D4) = D36⋊S3φ: C9⋊D4/D18 → C2 ⊆ Aut C61444C6.8(C9:D4)432,68
C6.9(C9⋊D4) = D12.D9φ: C9⋊D4/D18 → C2 ⊆ Aut C61444C6.9(C9:D4)432,70
C6.10(C9⋊D4) = Dic6⋊D9φ: C9⋊D4/D18 → C2 ⊆ Aut C61444C6.10(C9:D4)432,72
C6.11(C9⋊D4) = C12.D18φ: C9⋊D4/D18 → C2 ⊆ Aut C61444C6.11(C9:D4)432,74
C6.12(C9⋊D4) = C18.Dic6φ: C9⋊D4/D18 → C2 ⊆ Aut C6144C6.12(C9:D4)432,89
C6.13(C9⋊D4) = D18⋊Dic3φ: C9⋊D4/D18 → C2 ⊆ Aut C6144C6.13(C9:D4)432,91
C6.14(C9⋊D4) = Dic27⋊C4φ: C9⋊D4/C2×C18 → C2 ⊆ Aut C6432C6.14(C9:D4)432,12
C6.15(C9⋊D4) = D54⋊C4φ: C9⋊D4/C2×C18 → C2 ⊆ Aut C6216C6.15(C9:D4)432,14
C6.16(C9⋊D4) = D4.D27φ: C9⋊D4/C2×C18 → C2 ⊆ Aut C62164-C6.16(C9:D4)432,15
C6.17(C9⋊D4) = D4⋊D27φ: C9⋊D4/C2×C18 → C2 ⊆ Aut C62164+C6.17(C9:D4)432,16
C6.18(C9⋊D4) = C27⋊Q16φ: C9⋊D4/C2×C18 → C2 ⊆ Aut C64324-C6.18(C9:D4)432,17
C6.19(C9⋊D4) = Q8⋊2D27φ: C9⋊D4/C2×C18 → C2 ⊆ Aut C62164+C6.19(C9:D4)432,18
C6.20(C9⋊D4) = C54.D4φ: C9⋊D4/C2×C18 → C2 ⊆ Aut C6216C6.20(C9:D4)432,19
C6.21(C9⋊D4) = C2×C27⋊D4φ: C9⋊D4/C2×C18 → C2 ⊆ Aut C6216C6.21(C9:D4)432,52
C6.22(C9⋊D4) = C6.Dic18φ: C9⋊D4/C2×C18 → C2 ⊆ Aut C6432C6.22(C9:D4)432,181
C6.23(C9⋊D4) = C6.11D36φ: C9⋊D4/C2×C18 → C2 ⊆ Aut C6216C6.23(C9:D4)432,183
C6.24(C9⋊D4) = C36.17D6φ: C9⋊D4/C2×C18 → C2 ⊆ Aut C6216C6.24(C9:D4)432,190
C6.25(C9⋊D4) = C36.18D6φ: C9⋊D4/C2×C18 → C2 ⊆ Aut C6216C6.25(C9:D4)432,191
C6.26(C9⋊D4) = C36.19D6φ: C9⋊D4/C2×C18 → C2 ⊆ Aut C6432C6.26(C9:D4)432,194
C6.27(C9⋊D4) = C36.20D6φ: C9⋊D4/C2×C18 → C2 ⊆ Aut C6216C6.27(C9:D4)432,195
C6.28(C9⋊D4) = C62.127D6φ: C9⋊D4/C2×C18 → C2 ⊆ Aut C6216C6.28(C9:D4)432,198
C6.29(C9⋊D4) = C3×Dic9⋊C4central extension (φ=1)144C6.29(C9:D4)432,129
C6.30(C9⋊D4) = C3×D18⋊C4central extension (φ=1)144C6.30(C9:D4)432,134
C6.31(C9⋊D4) = C3×D4.D9central extension (φ=1)724C6.31(C9:D4)432,148
C6.32(C9⋊D4) = C3×D4⋊D9central extension (φ=1)724C6.32(C9:D4)432,149
C6.33(C9⋊D4) = C3×C9⋊Q16central extension (φ=1)1444C6.33(C9:D4)432,156
C6.34(C9⋊D4) = C3×Q8⋊2D9central extension (φ=1)1444C6.34(C9:D4)432,157
C6.35(C9⋊D4) = C3×C18.D4central extension (φ=1)72C6.35(C9:D4)432,164

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