Extensions 1→N→G→Q→1 with N=C₂³×D₁₅ and Q=C₂

Direct product G=N×Q with N=C₂³×D₁₅ and Q=C₂

		d	ρ	Label	ID
C₂⁴×D₁₅		240		C2^4xD15	480,1212

Semidirect products G=N:Q with N=C₂³×D₁₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂³×D₁₅)⋊₁C₂ = D₃₀⋊₁₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³×D₁₅	120		(C2^3xD15):1C2	480,847
(C₂³×D₁₅)⋊₂C₂ = D₃₀⋊₁₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³×D₁₅	120		(C2^3xD15):2C2	480,902
(C₂³×D₁₅)⋊₃C₂ = C₂²×D₆₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³×D₁₅	240		(C2^3xD15):3C2	480,1167
(C₂³×D₁₅)⋊₄C₂ = C₂×D₄×D₁₅	φ: C₂/C₁ → C₂ ⊆ Out C₂³×D₁₅	120		(C2^3xD15):4C2	480,1169
(C₂³×D₁₅)⋊₅C₂ = C₂²×C₁₅⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³×D₁₅	240		(C2^3xD15):5C2	480,1179
(C₂³×D₁₅)⋊₆C₂ = D₃₀⋊₁₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³×D₁₅	120		(C2^3xD15):6C2	480,648
(C₂³×D₁₅)⋊₇C₂ = D₃₀⋊₁₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³×D₁₅	120		(C2^3xD15):7C2	480,649
(C₂³×D₁₅)⋊₈C₂ = C₂²×C₃⋊D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³×D₁₅	240		(C2^3xD15):8C2	480,1119
(C₂³×D₁₅)⋊₉C₂ = C₂²×C₅⋊D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂³×D₁₅	240		(C2^3xD15):9C2	480,1120
(C₂³×D₁₅)⋊₁₀C₂ = C₂×D₁₀⋊D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³×D₁₅	120		(C2^3xD15):10C2	480,1124
(C₂³×D₁₅)⋊₁₁C₂ = S₃×C₂³×D₅	φ: C₂/C₁ → C₂ ⊆ Out C₂³×D₁₅	120		(C2^3xD15):11C2	480,1207

Non-split extensions G=N.Q with N=C₂³×D₁₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂³×D₁₅).₁C₂ = C₂²⋊C₄×D₁₅	φ: C₂/C₁ → C₂ ⊆ Out C₂³×D₁₅	120		(C2^3xD15).1C2	480,845
(C₂³×D₁₅).₂C₂ = C₂×D₃₀⋊₃C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³×D₁₅	240		(C2^3xD15).2C2	480,892
(C₂³×D₁₅).₃C₂ = C₂×D₃₀⋊₄C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³×D₁₅	240		(C2^3xD15).3C2	480,616
(C₂³×D₁₅).₄C₂ = D₃₀.₄₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³×D₁₅	120		(C2^3xD15).4C2	480,637
(C₂³×D₁₅).₅C₂ = C₂²×D₃₀.C₂	φ: C₂/C₁ → C₂ ⊆ Out C₂³×D₁₅	240		(C2^3xD15).5C2	480,1117
(C₂³×D₁₅).₆C₂ = C₂²×C₄×D₁₅	φ: trivial image	240		(C2^3xD15).6C2	480,1166

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