Extensions 1→N→G→Q→1 with N=C₂×Dic₁₅ and Q=C₂

Direct product G=N×Q with N=C₂×Dic₁₅ and Q=C₂

		d	ρ	Label	ID
C₂²×Dic₁₅		240		C2^2xDic15	240,183

Semidirect products G=N:Q with N=C₂×Dic₁₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₁₅)⋊₁C₂ = D₃₀⋊₃C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₁₅	120		(C2xDic15):1C2	240,75
(C₂×Dic₁₅)⋊₂C₂ = C₃₀.₃₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₁₅	120		(C2xDic15):2C2	240,80
(C₂×Dic₁₅)⋊₃C₂ = D₄⋊₂D₁₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₁₅	120	4-	(C2xDic15):3C2	240,180
(C₂×Dic₁₅)⋊₄C₂ = C₂×C₁₅⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₁₅	120		(C2xDic15):4C2	240,184
(C₂×Dic₁₅)⋊₅C₂ = D₁₀⋊Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₁₅	120		(C2xDic15):5C2	240,26
(C₂×Dic₁₅)⋊₆C₂ = D₆⋊Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₁₅	120		(C2xDic15):6C2	240,27
(C₂×Dic₁₅)⋊₇C₂ = C₂×D₅×Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₁₅	120		(C2xDic15):7C2	240,139
(C₂×Dic₁₅)⋊₈C₂ = C₃₀.C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₁₅	120	4-	(C2xDic15):8C2	240,141
(C₂×Dic₁₅)⋊₉C₂ = C₂×S₃×Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₁₅	120		(C2xDic15):9C2	240,142
(C₂×Dic₁₅)⋊₁₀C₂ = C₂×C₁₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₁₅	120		(C2xDic15):10C2	240,145
(C₂×Dic₁₅)⋊₁₁C₂ = C₂×C₄×D₁₅	φ: trivial image	120		(C2xDic15):11C2	240,176

Non-split extensions G=N.Q with N=C₂×Dic₁₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₁₅).₁C₂ = C₃₀.₄Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₁₅	240		(C2xDic15).1C2	240,73
(C₂×Dic₁₅).₂C₂ = C₆₀⋊₅C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₁₅	240		(C2xDic15).2C2	240,74
(C₂×Dic₁₅).₃C₂ = C₂×Dic₃₀	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₁₅	240		(C2xDic15).3C2	240,175
(C₂×Dic₁₅).₄C₂ = Dic₃×Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₁₅	240		(C2xDic15).4C2	240,25
(C₂×Dic₁₅).₅C₂ = C₃₀.Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₁₅	240		(C2xDic15).5C2	240,29
(C₂×Dic₁₅).₆C₂ = Dic₁₅⋊₅C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₁₅	240		(C2xDic15).6C2	240,30
(C₂×Dic₁₅).₇C₂ = C₆.Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₁₅	240		(C2xDic15).7C2	240,31
(C₂×Dic₁₅).₈C₂ = C₂×C₁₅⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₁₅	240		(C2xDic15).8C2	240,148
(C₂×Dic₁₅).₉C₂ = C₄×Dic₁₅	φ: trivial image	240		(C2xDic15).9C2	240,72

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