Extensions 1→N→G→Q→1 with N=D₅×Dic₃ and Q=C₂

Direct product G=N×Q with N=D₅×Dic₃ and Q=C₂

		d	ρ	Label	ID
C₂×D₅×Dic₃		120		C2xD5xDic3	240,139

Semidirect products G=N:Q with N=D₅×Dic₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅×Dic₃)⋊₁C₂ = D₂₀⋊₅S₃	φ: C₂/C₁ → C₂ ⊆ Out D₅×Dic₃	120	4-	(D5xDic3):1C2	240,126
(D₅×Dic₃)⋊₂C₂ = D₂₀⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out D₅×Dic₃	120	4	(D5xDic3):2C2	240,127
(D₅×Dic₃)⋊₃C₂ = Dic₅.D₆	φ: C₂/C₁ → C₂ ⊆ Out D₅×Dic₃	120	4	(D5xDic3):3C2	240,140
(D₅×Dic₃)⋊₄C₂ = C₃₀.C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₅×Dic₃	120	4-	(D5xDic3):4C2	240,141
(D₅×Dic₃)⋊₅C₂ = D₅×C₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×Dic₃	60	4	(D5xDic3):5C2	240,149
(D₅×Dic₃)⋊₆C₂ = C₄×S₃×D₅	φ: trivial image	60	4	(D5xDic3):6C2	240,135

Non-split extensions G=N.Q with N=D₅×Dic₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅×Dic₃).₁C₂ = D₅×Dic₆	φ: C₂/C₁ → C₂ ⊆ Out D₅×Dic₃	120	4-	(D5xDic3).1C2	240,125
(D₅×Dic₃).₂C₂ = Dic₃×F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×Dic₃	60	8-	(D5xDic3).2C2	240,95
(D₅×Dic₃).₃C₂ = Dic₃⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×Dic₃	60	8-	(D5xDic3).3C2	240,97

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