Extensions 1→N→G→Q→1 with N=Q₈×C₂₉ and Q=C₂

Direct product G=N×Q with N=Q₈×C₂₉ and Q=C₂

		d	ρ	Label	ID
Q₈×C₅₈		464		Q8xC58	464,47

Semidirect products G=N:Q with N=Q₈×C₂₉ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₂₉)⋊₁C₂ = Q₈⋊D₂₉	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂₉	232	4+	(Q8xC29):1C2	464,17
(Q₈×C₂₉)⋊₂C₂ = Q₈×D₂₉	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂₉	232	4-	(Q8xC29):2C2	464,41
(Q₈×C₂₉)⋊₃C₂ = Q₈⋊₂D₂₉	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂₉	232	4+	(Q8xC29):3C2	464,42
(Q₈×C₂₉)⋊₄C₂ = SD₁₆×C₂₉	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂₉	232	2	(Q8xC29):4C2	464,26
(Q₈×C₂₉)⋊₅C₂ = C₄○D₄×C₂₉	φ: trivial image	232	2	(Q8xC29):5C2	464,48

Non-split extensions G=N.Q with N=Q₈×C₂₉ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₂₉).₁C₂ = C₂₉⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂₉	464	4-	(Q8xC29).1C2	464,18
(Q₈×C₂₉).₂C₂ = Q₁₆×C₂₉	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂₉	464	2	(Q8xC29).2C2	464,27

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