Extensions 1→N→G→Q→1 with N=C₂₂ and Q=Q₈

Direct product G=N×Q with N=C₂₂ and Q=Q₈

		d	ρ	Label	ID
Q₈×C₂₂		176		Q8xC22	176,39

Semidirect products G=N:Q with N=C₂₂ and Q=Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₂⋊Q₈ = C₂×Dic₂₂	φ: Q₈/C₄ → C₂ ⊆ Aut C₂₂	176		C22:Q8	176,27

Non-split extensions G=N.Q with N=C₂₂ and Q=Q₈

extension	φ:Q→Aut N	d	Label	ID
C₂₂.₁Q₈ = Dic₁₁⋊C₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₂₂	176	C22.1Q8	176,11
C₂₂.₂Q₈ = C₄₄⋊C₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₂₂	176	C22.2Q8	176,12
C₂₂.₃Q₈ = C₁₁×C₄⋊C₄	central extension (φ=1)	176	C22.3Q8	176,21

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Extensions 1→N→G→Q→1 with N=C22 and Q=Q8