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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×C₂₂)⋊₁C₂ = C₂×D₄⋊D₁₁	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₂	176		(D4xC22):1C2	352,126
(D₄×C₂₂)⋊₂C₂ = D₄₄⋊₆C₂²	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₂	88	4	(D4xC22):2C2	352,127
(D₄×C₂₂)⋊₃C₂ = C₄₄⋊₂D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₂	176		(D4xC22):3C2	352,133
(D₄×C₂₂)⋊₄C₂ = C₄₄⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₂	176		(D4xC22):4C2	352,135
(D₄×C₂₂)⋊₅C₂ = C₂×D₄×D₁₁	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₂	88		(D4xC22):5C2	352,177
(D₄×C₂₂)⋊₆C₂ = C₂×D₄⋊₂D₁₁	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₂	176		(D4xC22):6C2	352,178
(D₄×C₂₂)⋊₇C₂ = D₄⋊₆D₂₂	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₂	88	4	(D4xC22):7C2	352,179
(D₄×C₂₂)⋊₈C₂ = C₂³⋊D₂₂	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₂	88		(D4xC22):8C2	352,132
(D₄×C₂₂)⋊₉C₂ = Dic₁₁⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₂	176		(D4xC22):9C2	352,134
(D₄×C₂₂)⋊₁₀C₂ = C₁₁×C₂²≀C₂	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₂	88		(D4xC22):10C2	352,155
(D₄×C₂₂)⋊₁₁C₂ = C₁₁×C₄⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₂	176		(D4xC22):11C2	352,156
(D₄×C₂₂)⋊₁₂C₂ = C₁₁×C₄⋊₁D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₂	176		(D4xC22):12C2	352,162
(D₄×C₂₂)⋊₁₃C₂ = D₈×C₂₂	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₂	176		(D4xC22):13C2	352,167
(D₄×C₂₂)⋊₁₄C₂ = C₁₁×C₈⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₂	88	4	(D4xC22):14C2	352,171
(D₄×C₂₂)⋊₁₅C₂ = C₁₁×2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₂	88	4	(D4xC22):15C2	352,192
(D₄×C₂₂)⋊₁₆C₂ = C₄○D₄×C₂₂	φ: trivial image	176		(D4xC22):16C2	352,191

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

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×C₂₂).₁C₂ = D₄⋊Dic₁₁	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₂	176		(D4xC22).1C2	352,38
(D₄×C₂₂).₂C₂ = C₄₄.D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₂	88	4	(D4xC22).2C2	352,39
(D₄×C₂₂).₃C₂ = C₂×D₄.D₁₁	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₂	176		(D4xC22).3C2	352,128
(D₄×C₂₂).₄C₂ = D₄×Dic₁₁	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₂	176		(D4xC22).4C2	352,129
(D₄×C₂₂).₅C₂ = C₄₄.₁₇D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₂	176		(D4xC22).5C2	352,131
(D₄×C₂₂).₆C₂ = C₂³⋊Dic₁₁	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₂	88	4	(D4xC22).6C2	352,40
(D₄×C₂₂).₇C₂ = C₁₁×C₂³⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₂	88	4	(D4xC22).7C2	352,48
(D₄×C₂₂).₈C₂ = C₁₁×C₄.D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₂	88	4	(D4xC22).8C2	352,49
(D₄×C₂₂).₉C₂ = C₁₁×D₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₂	176		(D4xC22).9C2	352,51
(D₄×C₂₂).₁₀C₂ = C₂³.₁₈D₂₂	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₂	176		(D4xC22).10C2	352,130
(D₄×C₂₂).₁₁C₂ = C₁₁×C₂².D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₂	176		(D4xC22).11C2	352,158
(D₄×C₂₂).₁₂C₂ = C₁₁×C₄.₄D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₂	176		(D4xC22).12C2	352,159
(D₄×C₂₂).₁₃C₂ = SD₁₆×C₂₂	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₂	176		(D4xC22).13C2	352,168
(D₄×C₂₂).₁₄C₂ = D₄×C₄₄	φ: trivial image	176		(D4xC22).14C2	352,153

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