Extensions 1→N→G→Q→1 with N=C₄×D₁₅ and Q=C₂

Direct product G=N×Q with N=C₄×D₁₅ and Q=C₂

		d	ρ	Label	ID
C₂×C₄×D₁₅		120		C2xC4xD15	240,176

Semidirect products G=N:Q with N=C₄×D₁₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₁₅)⋊₁C₂ = D₄×D₁₅	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₁₅	60	4+	(C4xD15):1C2	240,179
(C₄×D₁₅)⋊₂C₂ = D₄⋊₂D₁₅	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₁₅	120	4-	(C4xD15):2C2	240,180
(C₄×D₁₅)⋊₃C₂ = Q₈⋊₃D₁₅	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₁₅	120	4+	(C4xD15):3C2	240,182
(C₄×D₁₅)⋊₄C₂ = D₆₀⋊₁₁C₂	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₁₅	120	2	(C4xD15):4C2	240,178
(C₄×D₁₅)⋊₅C₂ = D₂₀⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₁₅	120	4	(C4xD15):5C2	240,127
(C₄×D₁₅)⋊₆C₂ = D₁₂⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₁₅	120	4	(C4xD15):6C2	240,129
(C₄×D₁₅)⋊₇C₂ = C₂₀⋊D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₁₅	60	4	(C4xD15):7C2	240,138
(C₄×D₁₅)⋊₈C₂ = D₆.D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₁₅	120	4	(C4xD15):8C2	240,132
(C₄×D₁₅)⋊₉C₂ = C₄×S₃×D₅	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₁₅	60	4	(C4xD15):9C2	240,135

Non-split extensions G=N.Q with N=C₄×D₁₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₁₅).₁C₂ = Q₈×D₁₅	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₁₅	120	4-	(C4xD15).1C2	240,181
(C₄×D₁₅).₂C₂ = C₄₀⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₁₅	120	2	(C4xD15).2C2	240,66
(C₄×D₁₅).₃C₂ = D₁₅⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₁₅	120	4	(C4xD15).3C2	240,131
(C₄×D₁₅).₄C₂ = D₁₅⋊₂C₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₁₅	120	4	(C4xD15).4C2	240,9
(C₄×D₁₅).₅C₂ = D₃₀.₅C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₁₅	120	4	(C4xD15).5C2	240,12
(C₄×D₁₅).₆C₂ = C₈×D₁₅	φ: trivial image	120	2	(C4xD15).6C2	240,65

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