Extensions 1→N→G→Q→1 with N=C₂×C₄ and Q=C₂₂

Direct product G=N×Q with N=C₂×C₄ and Q=C₂₂

		d	ρ	Label	ID
C₂²×C₄₄		176		C2^2xC44	176,37

Semidirect products G=N:Q with N=C₂×C₄ and Q=C₂₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄)⋊₁C₂₂ = C₁₁×C₂²⋊C₄	φ: C₂₂/C₁₁ → C₂ ⊆ Aut C₂×C₄	88		(C2xC4):1C22	176,20
(C₂×C₄)⋊₂C₂₂ = D₄×C₂₂	φ: C₂₂/C₁₁ → C₂ ⊆ Aut C₂×C₄	88		(C2xC4):2C22	176,38
(C₂×C₄)⋊₃C₂₂ = C₁₁×C₄○D₄	φ: C₂₂/C₁₁ → C₂ ⊆ Aut C₂×C₄	88	2	(C2xC4):3C22	176,40

Non-split extensions G=N.Q with N=C₂×C₄ and Q=C₂₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄).₁C₂₂ = C₁₁×C₄⋊C₄	φ: C₂₂/C₁₁ → C₂ ⊆ Aut C₂×C₄	176		(C2xC4).1C22	176,21
(C₂×C₄).₂C₂₂ = C₁₁×M₄(2)	φ: C₂₂/C₁₁ → C₂ ⊆ Aut C₂×C₄	88	2	(C2xC4).2C22	176,23
(C₂×C₄).₃C₂₂ = Q₈×C₂₂	φ: C₂₂/C₁₁ → C₂ ⊆ Aut C₂×C₄	176		(C2xC4).3C22	176,39

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Extensions 1→N→G→Q→1 with N=C2×C4 and Q=C22