Extensions 1→N→G→Q→1 with N=C₂×D₄ and Q=C₂₂

Direct product G=N×Q with N=C₂×D₄ and Q=C₂₂

		d	ρ	Label	ID
D₄×C₂×C₂₂		176		D4xC2xC22	352,189

Semidirect products G=N:Q with N=C₂×D₄ and Q=C₂₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×D₄)⋊₁C₂₂ = C₁₁×C₂²≀C₂	φ: C₂₂/C₁₁ → C₂ ⊆ Out C₂×D₄	88		(C2xD4):1C22	352,155
(C₂×D₄)⋊₂C₂₂ = C₁₁×C₄⋊D₄	φ: C₂₂/C₁₁ → C₂ ⊆ Out C₂×D₄	176		(C2xD4):2C22	352,156
(C₂×D₄)⋊₃C₂₂ = C₁₁×C₄⋊₁D₄	φ: C₂₂/C₁₁ → C₂ ⊆ Out C₂×D₄	176		(C2xD4):3C22	352,162
(C₂×D₄)⋊₄C₂₂ = D₈×C₂₂	φ: C₂₂/C₁₁ → C₂ ⊆ Out C₂×D₄	176		(C2xD4):4C22	352,167
(C₂×D₄)⋊₅C₂₂ = C₁₁×C₈⋊C₂²	φ: C₂₂/C₁₁ → C₂ ⊆ Out C₂×D₄	88	4	(C2xD4):5C22	352,171
(C₂×D₄)⋊₆C₂₂ = C₁₁×2₊¹⁺⁴	φ: C₂₂/C₁₁ → C₂ ⊆ Out C₂×D₄	88	4	(C2xD4):6C22	352,192
(C₂×D₄)⋊₇C₂₂ = C₄○D₄×C₂₂	φ: trivial image	176		(C2xD4):7C22	352,191

Non-split extensions G=N.Q with N=C₂×D₄ and Q=C₂₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×D₄).₁C₂₂ = C₁₁×C₂³⋊C₄	φ: C₂₂/C₁₁ → C₂ ⊆ Out C₂×D₄	88	4	(C2xD4).1C22	352,48
(C₂×D₄).₂C₂₂ = C₁₁×C₄.D₄	φ: C₂₂/C₁₁ → C₂ ⊆ Out C₂×D₄	88	4	(C2xD4).2C22	352,49
(C₂×D₄).₃C₂₂ = C₁₁×D₄⋊C₄	φ: C₂₂/C₁₁ → C₂ ⊆ Out C₂×D₄	176		(C2xD4).3C22	352,51
(C₂×D₄).₄C₂₂ = C₁₁×C₂².D₄	φ: C₂₂/C₁₁ → C₂ ⊆ Out C₂×D₄	176		(C2xD4).4C22	352,158
(C₂×D₄).₅C₂₂ = C₁₁×C₄.₄D₄	φ: C₂₂/C₁₁ → C₂ ⊆ Out C₂×D₄	176		(C2xD4).5C22	352,159
(C₂×D₄).₆C₂₂ = SD₁₆×C₂₂	φ: C₂₂/C₁₁ → C₂ ⊆ Out C₂×D₄	176		(C2xD4).6C22	352,168
(C₂×D₄).₇C₂₂ = D₄×C₄₄	φ: trivial image	176		(C2xD4).7C22	352,153

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