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Extensions 1→N→G→Q→1 with N=C22 and Q=C9⋊D4

Direct product G=N×Q with N=C22 and Q=C9⋊D4
dρLabelID
C22×C9⋊D4144C2^2xC9:D4288,366

Semidirect products G=N:Q with N=C22 and Q=C9⋊D4
extensionφ:Q→Aut NdρLabelID
C22⋊(C9⋊D4) = C23.D18φ: C9⋊D4/C2×C6 → S3 ⊆ Aut C22366C2^2:(C9:D4)288,342
C22⋊2(C9⋊D4) = Dic9⋊D4φ: C9⋊D4/Dic9 → C2 ⊆ Aut C22144C2^2:2(C9:D4)288,149
C22⋊3(C9⋊D4) = C23⋊2D18φ: C9⋊D4/D18 → C2 ⊆ Aut C2272C2^2:3(C9:D4)288,147
C22⋊4(C9⋊D4) = C24⋊4D9φ: C9⋊D4/C2×C18 → C2 ⊆ Aut C2272C2^2:4(C9:D4)288,163

Non-split extensions G=N.Q with N=C22 and Q=C9⋊D4
extensionφ:Q→Aut NdρLabelID
C22.1(C9⋊D4) = D4.9D18φ: C9⋊D4/Dic9 → C2 ⊆ Aut C221444C2^2.1(C9:D4)288,161
C22.2(C9⋊D4) = C23⋊2Dic9φ: C9⋊D4/D18 → C2 ⊆ Aut C22724C2^2.2(C9:D4)288,41
C22.3(C9⋊D4) = Q8⋊3Dic9φ: C9⋊D4/D18 → C2 ⊆ Aut C22724C2^2.3(C9:D4)288,44
C22.4(C9⋊D4) = C23.23D18φ: C9⋊D4/D18 → C2 ⊆ Aut C22144C2^2.4(C9:D4)288,145
C22.5(C9⋊D4) = D4.D18φ: C9⋊D4/D18 → C2 ⊆ Aut C221444-C2^2.5(C9:D4)288,159
C22.6(C9⋊D4) = D4⋊D18φ: C9⋊D4/D18 → C2 ⊆ Aut C22724+C2^2.6(C9:D4)288,160
C22.7(C9⋊D4) = C42⋊4D9φ: C9⋊D4/C2×C18 → C2 ⊆ Aut C22722C2^2.7(C9:D4)288,12
C22.8(C9⋊D4) = C22.D36φ: C9⋊D4/C2×C18 → C2 ⊆ Aut C22724C2^2.8(C9:D4)288,13
C22.9(C9⋊D4) = C23.28D18φ: C9⋊D4/C2×C18 → C2 ⊆ Aut C22144C2^2.9(C9:D4)288,139
C22.10(C9⋊D4) = D36⋊6C22φ: C9⋊D4/C2×C18 → C2 ⊆ Aut C22724C2^2.10(C9:D4)288,143
C22.11(C9⋊D4) = C36.C23φ: C9⋊D4/C2×C18 → C2 ⊆ Aut C221444C2^2.11(C9:D4)288,153
C22.12(C9⋊D4) = C36.Q8central extension (φ=1)288C2^2.12(C9:D4)288,14
C22.13(C9⋊D4) = C4.Dic18central extension (φ=1)288C2^2.13(C9:D4)288,15
C22.14(C9⋊D4) = C18.Q16central extension (φ=1)288C2^2.14(C9:D4)288,16
C22.15(C9⋊D4) = C18.D8central extension (φ=1)144C2^2.15(C9:D4)288,17
C22.16(C9⋊D4) = C18.C42central extension (φ=1)288C2^2.16(C9:D4)288,38
C22.17(C9⋊D4) = D4⋊Dic9central extension (φ=1)144C2^2.17(C9:D4)288,40
C22.18(C9⋊D4) = Q8⋊2Dic9central extension (φ=1)288C2^2.18(C9:D4)288,43
C22.19(C9⋊D4) = C2×Dic9⋊C4central extension (φ=1)288C2^2.19(C9:D4)288,133
C22.20(C9⋊D4) = C2×D18⋊C4central extension (φ=1)144C2^2.20(C9:D4)288,137
C22.21(C9⋊D4) = C2×D4.D9central extension (φ=1)144C2^2.21(C9:D4)288,141
C22.22(C9⋊D4) = C2×D4⋊D9central extension (φ=1)144C2^2.22(C9:D4)288,142
C22.23(C9⋊D4) = C2×C9⋊Q16central extension (φ=1)288C2^2.23(C9:D4)288,151
C22.24(C9⋊D4) = C2×Q8⋊2D9central extension (φ=1)144C2^2.24(C9:D4)288,152
C22.25(C9⋊D4) = C2×C18.D4central extension (φ=1)144C2^2.25(C9:D4)288,162

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