Extensions 1→N→G→Q→1 with N=Q₈×C₁₅ and Q=C₂

Direct product G=N×Q with N=Q₈×C₁₅ and Q=C₂

		d	ρ	Label	ID
Q₈×C₃₀		240		Q8xC30	240,187

Semidirect products G=N:Q with N=Q₈×C₁₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₁₅)⋊₁C₂ = Q₈⋊₂D₁₅	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₁₅	120	4+	(Q8xC15):1C2	240,78
(Q₈×C₁₅)⋊₂C₂ = Q₈×D₁₅	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₁₅	120	4-	(Q8xC15):2C2	240,181
(Q₈×C₁₅)⋊₃C₂ = Q₈⋊₃D₁₅	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₁₅	120	4+	(Q8xC15):3C2	240,182
(Q₈×C₁₅)⋊₄C₂ = C₃×Q₈⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₁₅	120	4	(Q8xC15):4C2	240,46
(Q₈×C₁₅)⋊₅C₂ = C₃×Q₈×D₅	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₁₅	120	4	(Q8xC15):5C2	240,161
(Q₈×C₁₅)⋊₆C₂ = C₃×Q₈⋊₂D₅	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₁₅	120	4	(Q8xC15):6C2	240,162
(Q₈×C₁₅)⋊₇C₂ = C₅×Q₈⋊₂S₃	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₁₅	120	4	(Q8xC15):7C2	240,62
(Q₈×C₁₅)⋊₈C₂ = C₅×S₃×Q₈	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₁₅	120	4	(Q8xC15):8C2	240,171
(Q₈×C₁₅)⋊₉C₂ = C₅×Q₈⋊₃S₃	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₁₅	120	4	(Q8xC15):9C2	240,172
(Q₈×C₁₅)⋊₁₀C₂ = C₁₅×SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₁₅	120	2	(Q8xC15):10C2	240,87
(Q₈×C₁₅)⋊₁₁C₂ = C₁₅×C₄○D₄	φ: trivial image	120	2	(Q8xC15):11C2	240,188

Non-split extensions G=N.Q with N=Q₈×C₁₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₁₅).₁C₂ = C₁₅⋊₇Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₁₅	240	4-	(Q8xC15).1C2	240,79
(Q₈×C₁₅).₂C₂ = C₃×C₅⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₁₅	240	4	(Q8xC15).2C2	240,47
(Q₈×C₁₅).₃C₂ = C₅×C₃⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₁₅	240	4	(Q8xC15).3C2	240,63
(Q₈×C₁₅).₄C₂ = C₁₅×Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₁₅	240	2	(Q8xC15).4C2	240,88

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