Extensions 1→N→G→Q→1 with N=D₄×C₂₉ and Q=C₂

Direct product G=N×Q with N=D₄×C₂₉ and Q=C₂

		d	ρ	Label	ID
D₄×C₅₈		232		D4xC58	464,46

Semidirect products G=N:Q with N=D₄×C₂₉ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×C₂₉)⋊₁C₂ = D₄⋊D₂₉	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₉	232	4+	(D4xC29):1C2	464,15
(D₄×C₂₉)⋊₂C₂ = D₄×D₂₉	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₉	116	4+	(D4xC29):2C2	464,39
(D₄×C₂₉)⋊₃C₂ = D₄⋊₂D₂₉	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₉	232	4-	(D4xC29):3C2	464,40
(D₄×C₂₉)⋊₄C₂ = D₈×C₂₉	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₉	232	2	(D4xC29):4C2	464,25
(D₄×C₂₉)⋊₅C₂ = C₄○D₄×C₂₉	φ: trivial image	232	2	(D4xC29):5C2	464,48

Non-split extensions G=N.Q with N=D₄×C₂₉ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×C₂₉).₁C₂ = D₄.D₂₉	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₉	232	4-	(D4xC29).1C2	464,16
(D₄×C₂₉).₂C₂ = SD₁₆×C₂₉	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₉	232	2	(D4xC29).2C2	464,26

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