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Extensions 1→N→G→Q→1 with N=C18 and Q=C22⋊C4

Direct product G=N×Q with N=C18 and Q=C22⋊C4
dρLabelID
C22⋊C4×C18144C2^2:C4xC18288,165

Semidirect products G=N:Q with N=C18 and Q=C22⋊C4
extensionφ:Q→Aut NdρLabelID
C18⋊1(C22⋊C4) = C2×D18⋊C4φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C18144C18:1(C2^2:C4)288,137
C18⋊2(C22⋊C4) = C2×C18.D4φ: C22⋊C4/C23 → C2 ⊆ Aut C18144C18:2(C2^2:C4)288,162

Non-split extensions G=N.Q with N=C18 and Q=C22⋊C4
extensionφ:Q→Aut NdρLabelID
C18.1(C22⋊C4) = C42⋊4D9φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C18722C18.1(C2^2:C4)288,12
C18.2(C22⋊C4) = C22.D36φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C18724C18.2(C2^2:C4)288,13
C18.3(C22⋊C4) = C18.Q16φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C18288C18.3(C2^2:C4)288,16
C18.4(C22⋊C4) = C18.D8φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C18144C18.4(C2^2:C4)288,17
C18.5(C22⋊C4) = C36.45D4φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C18288C18.5(C2^2:C4)288,24
C18.6(C22⋊C4) = D18⋊C8φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C18144C18.6(C2^2:C4)288,27
C18.7(C22⋊C4) = C2.D72φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C18144C18.7(C2^2:C4)288,28
C18.8(C22⋊C4) = C4.D36φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C181444-C18.8(C2^2:C4)288,30
C18.9(C22⋊C4) = C36.48D4φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C18724+C18.9(C2^2:C4)288,31
C18.10(C22⋊C4) = Dic18⋊C4φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C18724C18.10(C2^2:C4)288,32
C18.11(C22⋊C4) = C18.C42φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C18288C18.11(C2^2:C4)288,38
C18.12(C22⋊C4) = C36.55D4φ: C22⋊C4/C23 → C2 ⊆ Aut C18144C18.12(C2^2:C4)288,37
C18.13(C22⋊C4) = C36.D4φ: C22⋊C4/C23 → C2 ⊆ Aut C18724C18.13(C2^2:C4)288,39
C18.14(C22⋊C4) = D4⋊Dic9φ: C22⋊C4/C23 → C2 ⊆ Aut C18144C18.14(C2^2:C4)288,40
C18.15(C22⋊C4) = C23⋊2Dic9φ: C22⋊C4/C23 → C2 ⊆ Aut C18724C18.15(C2^2:C4)288,41
C18.16(C22⋊C4) = C36.9D4φ: C22⋊C4/C23 → C2 ⊆ Aut C181444C18.16(C2^2:C4)288,42
C18.17(C22⋊C4) = Q8⋊2Dic9φ: C22⋊C4/C23 → C2 ⊆ Aut C18288C18.17(C2^2:C4)288,43
C18.18(C22⋊C4) = Q8⋊3Dic9φ: C22⋊C4/C23 → C2 ⊆ Aut C18724C18.18(C2^2:C4)288,44
C18.19(C22⋊C4) = C9×C2.C42central extension (φ=1)288C18.19(C2^2:C4)288,45
C18.20(C22⋊C4) = C9×C22⋊C8central extension (φ=1)144C18.20(C2^2:C4)288,48
C18.21(C22⋊C4) = C9×C23⋊C4central extension (φ=1)724C18.21(C2^2:C4)288,49
C18.22(C22⋊C4) = C9×C4.D4central extension (φ=1)724C18.22(C2^2:C4)288,50
C18.23(C22⋊C4) = C9×C4.10D4central extension (φ=1)1444C18.23(C2^2:C4)288,51
C18.24(C22⋊C4) = C9×D4⋊C4central extension (φ=1)144C18.24(C2^2:C4)288,52
C18.25(C22⋊C4) = C9×Q8⋊C4central extension (φ=1)288C18.25(C2^2:C4)288,53
C18.26(C22⋊C4) = C9×C4≀C2central extension (φ=1)722C18.26(C2^2:C4)288,54

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