Extensions 1→N→G→Q→1 with N=Q₈×C₂₅ and Q=C₂

Direct product G=N×Q with N=Q₈×C₂₅ and Q=C₂

		d	ρ	Label	ID
Q₈×C₅₀		400		Q8xC50	400,47

Semidirect products G=N:Q with N=Q₈×C₂₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₂₅)⋊₁C₂ = Q₈⋊D₂₅	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂₅	200	4+	(Q8xC25):1C2	400,18
(Q₈×C₂₅)⋊₂C₂ = Q₈×D₂₅	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂₅	200	4-	(Q8xC25):2C2	400,41
(Q₈×C₂₅)⋊₃C₂ = Q₈⋊₂D₂₅	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂₅	200	4+	(Q8xC25):3C2	400,42
(Q₈×C₂₅)⋊₄C₂ = SD₁₆×C₂₅	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂₅	200	2	(Q8xC25):4C2	400,26
(Q₈×C₂₅)⋊₅C₂ = C₄○D₄×C₂₅	φ: trivial image	200	2	(Q8xC25):5C2	400,48

Non-split extensions G=N.Q with N=Q₈×C₂₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₂₅).₁C₂ = C₂₅⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂₅	400	4-	(Q8xC25).1C2	400,17
(Q₈×C₂₅).₂C₂ = Q₁₆×C₂₅	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂₅	400	2	(Q8xC25).2C2	400,27

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