Extensions 1→N→G→Q→1 with N=C₂₂ and Q=C₂×C₈

Direct product G=N×Q with N=C₂₂ and Q=C₂×C₈

		d	ρ	Label	ID
C₂²×C₈₈		352		C2^2xC88	352,164

Semidirect products G=N:Q with N=C₂₂ and Q=C₂×C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₂⋊₁(C₂×C₈) = C₂×C₈×D₁₁	φ: C₂×C₈/C₈ → C₂ ⊆ Aut C₂₂	176		C22:1(C2xC8)	352,94
C₂₂⋊₂(C₂×C₈) = C₂²×C₁₁⋊C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₂₂	352		C22:2(C2xC8)	352,115

Non-split extensions G=N.Q with N=C₂₂ and Q=C₂×C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₂.₁(C₂×C₈) = C₁₆×D₁₁	φ: C₂×C₈/C₈ → C₂ ⊆ Aut C₂₂	176	2	C22.1(C2xC8)	352,3
C₂₂.₂(C₂×C₈) = D₂₂.C₈	φ: C₂×C₈/C₈ → C₂ ⊆ Aut C₂₂	176	2	C22.2(C2xC8)	352,4
C₂₂.₃(C₂×C₈) = C₈×Dic₁₁	φ: C₂×C₈/C₈ → C₂ ⊆ Aut C₂₂	352		C22.3(C2xC8)	352,19
C₂₂.₄(C₂×C₈) = Dic₁₁⋊C₈	φ: C₂×C₈/C₈ → C₂ ⊆ Aut C₂₂	352		C22.4(C2xC8)	352,20
C₂₂.₅(C₂×C₈) = D₂₂⋊C₈	φ: C₂×C₈/C₈ → C₂ ⊆ Aut C₂₂	176		C22.5(C2xC8)	352,26
C₂₂.₆(C₂×C₈) = C₄×C₁₁⋊C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₂₂	352		C22.6(C2xC8)	352,8
C₂₂.₇(C₂×C₈) = C₄₄⋊C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₂₂	352		C22.7(C2xC8)	352,10
C₂₂.₈(C₂×C₈) = C₂×C₁₁⋊C₁₆	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₂₂	352		C22.8(C2xC8)	352,17
C₂₂.₉(C₂×C₈) = C₄₄.C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₂₂	176	2	C22.9(C2xC8)	352,18
C₂₂.₁₀(C₂×C₈) = C₄₄.₅₅D₄	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₂₂	176		C22.10(C2xC8)	352,36
C₂₂.₁₁(C₂×C₈) = C₁₁×C₂²⋊C₈	central extension (φ=1)	176		C22.11(C2xC8)	352,47
C₂₂.₁₂(C₂×C₈) = C₁₁×C₄⋊C₈	central extension (φ=1)	352		C22.12(C2xC8)	352,54
C₂₂.₁₃(C₂×C₈) = C₁₁×M₅(2)	central extension (φ=1)	176	2	C22.13(C2xC8)	352,59

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