Extensions 1→N→G→Q→1 with N=C₂×C₂₂ and Q=Q₈

Direct product G=N×Q with N=C₂×C₂₂ and Q=Q₈

		d	ρ	Label	ID
Q₈×C₂×C₂₂		352		Q8xC2xC22	352,190

Semidirect products G=N:Q with N=C₂×C₂₂ and Q=Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₂₂)⋊Q₈ = C₂²⋊Dic₂₂	φ: Q₈/C₂ → C₂² ⊆ Aut C₂×C₂₂	176		(C2xC22):Q8	352,73
(C₂×C₂₂)⋊₂Q₈ = C₁₁×C₂²⋊Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₂₂	176		(C2xC22):2Q8	352,157
(C₂×C₂₂)⋊₃Q₈ = C₄₄.₄₈D₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₂₂	176		(C2xC22):3Q8	352,119
(C₂×C₂₂)⋊₄Q₈ = C₂²×Dic₂₂	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₂₂	352		(C2xC22):4Q8	352,173

Non-split extensions G=N.Q with N=C₂×C₂₂ and Q=Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₂₂).Q₈ = C₄₄.₅₃D₄	φ: Q₈/C₂ → C₂² ⊆ Aut C₂×C₂₂	176	4	(C2xC22).Q8	352,28
(C₂×C₂₂).₂Q₈ = C₁₁×C₈.C₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₂₂	176	2	(C2xC22).2Q8	352,57
(C₂×C₂₂).₃Q₈ = C₈₈.C₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₂₂	176	2	(C2xC22).3Q8	352,25
(C₂×C₂₂).₄Q₈ = C₂₂.C₄²	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₂₂	352		(C2xC22).4Q8	352,37
(C₂×C₂₂).₅Q₈ = C₂×Dic₁₁⋊C₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₂₂	352		(C2xC22).5Q8	352,118
(C₂×C₂₂).₆Q₈ = C₂×C₄₄⋊C₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₂₂	352		(C2xC22).6Q8	352,120
(C₂×C₂₂).₇Q₈ = C₁₁×C₂.C₄²	central extension (φ=1)	352		(C2xC22).7Q8	352,44
(C₂×C₂₂).₈Q₈ = C₄⋊C₄×C₂₂	central extension (φ=1)	352		(C2xC22).8Q8	352,151

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