Extensions 1→N→G→Q→1 with N=C₁₅×D₈ and Q=C₂

Direct product G=N×Q with N=C₁₅×D₈ and Q=C₂

		d	ρ	Label	ID
D₈×C₃₀		240		D8xC30	480,937

Semidirect products G=N:Q with N=C₁₅×D₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₅×D₈)⋊₁C₂ = C₁₅⋊₇D₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×D₈	240	4+	(C15xD8):1C2	480,186
(C₁₅×D₈)⋊₂C₂ = D₈×D₁₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×D₈	120	4+	(C15xD8):2C2	480,875
(C₁₅×D₈)⋊₃C₂ = D₈⋊₃D₁₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×D₈	240	4-	(C15xD8):3C2	480,877
(C₁₅×D₈)⋊₄C₂ = D₈⋊D₁₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×D₈	120	4	(C15xD8):4C2	480,876
(C₁₅×D₈)⋊₅C₂ = C₃×C₅⋊D₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×D₈	240	4	(C15xD8):5C2	480,104
(C₁₅×D₈)⋊₆C₂ = C₃×D₅×D₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×D₈	120	4	(C15xD8):6C2	480,703
(C₁₅×D₈)⋊₇C₂ = C₃×D₈⋊₃D₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×D₈	240	4	(C15xD8):7C2	480,705
(C₁₅×D₈)⋊₈C₂ = C₅×C₃⋊D₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×D₈	240	4	(C15xD8):8C2	480,145
(C₁₅×D₈)⋊₉C₂ = C₅×S₃×D₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×D₈	120	4	(C15xD8):9C2	480,789
(C₁₅×D₈)⋊₁₀C₂ = C₅×D₈⋊₃S₃	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×D₈	240	4	(C15xD8):10C2	480,791
(C₁₅×D₈)⋊₁₁C₂ = C₃×D₈⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×D₈	120	4	(C15xD8):11C2	480,704
(C₁₅×D₈)⋊₁₂C₂ = C₅×D₈⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×D₈	120	4	(C15xD8):12C2	480,790
(C₁₅×D₈)⋊₁₃C₂ = C₁₅×D₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×D₈	240	2	(C15xD8):13C2	480,214
(C₁₅×D₈)⋊₁₄C₂ = C₁₅×C₈⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×D₈	120	4	(C15xD8):14C2	480,941
(C₁₅×D₈)⋊₁₅C₂ = C₁₅×C₄○D₈	φ: trivial image	240	2	(C15xD8):15C2	480,940

Non-split extensions G=N.Q with N=C₁₅×D₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₅×D₈).₁C₂ = D₈.D₁₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×D₈	240	4-	(C15xD8).1C2	480,187
(C₁₅×D₈).₂C₂ = C₃×D₈.D₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×D₈	240	4	(C15xD8).2C2	480,105
(C₁₅×D₈).₃C₂ = C₅×D₈.S₃	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×D₈	240	4	(C15xD8).3C2	480,146
(C₁₅×D₈).₄C₂ = C₁₅×SD₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×D₈	240	2	(C15xD8).4C2	480,215

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