Extensions 1→N→G→Q→1 with N=C₃×Dic₅ and Q=C₄

Direct product G=N×Q with N=C₃×Dic₅ and Q=C₄

		d	ρ	Label	ID
C₁₂×Dic₅		240		C12xDic5	240,40

Semidirect products G=N:Q with N=C₃×Dic₅ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Dic₅)⋊₁C₄ = Dic₃×Dic₅	φ: C₄/C₂ → C₂ ⊆ Out C₃×Dic₅	240		(C3xDic5):1C4	240,25
(C₃×Dic₅)⋊₂C₄ = C₃₀.Q₈	φ: C₄/C₂ → C₂ ⊆ Out C₃×Dic₅	240		(C3xDic5):2C4	240,29
(C₃×Dic₅)⋊₃C₄ = C₃×C₁₀.D₄	φ: C₄/C₂ → C₂ ⊆ Out C₃×Dic₅	240		(C3xDic5):3C4	240,41
(C₃×Dic₅)⋊₄C₄ = C₄×C₃⋊F₅	φ: C₄/C₂ → C₂ ⊆ Out C₃×Dic₅	60	4	(C3xDic5):4C4	240,120
(C₃×Dic₅)⋊₅C₄ = C₆₀⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₃×Dic₅	60	4	(C3xDic5):5C4	240,121
(C₃×Dic₅)⋊₆C₄ = C₁₂×F₅	φ: C₄/C₂ → C₂ ⊆ Out C₃×Dic₅	60	4	(C3xDic5):6C4	240,113
(C₃×Dic₅)⋊₇C₄ = C₃×C₄⋊F₅	φ: C₄/C₂ → C₂ ⊆ Out C₃×Dic₅	60	4	(C3xDic5):7C4	240,114

Non-split extensions G=N.Q with N=C₃×Dic₅ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Dic₅).₁C₄ = D₅×C₃⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out C₃×Dic₅	120	4	(C3xDic5).1C4	240,7
(C₃×Dic₅).₂C₄ = C₂₀.₃₂D₆	φ: C₄/C₂ → C₂ ⊆ Out C₃×Dic₅	120	4	(C3xDic5).2C4	240,10
(C₃×Dic₅).₃C₄ = C₃×C₈⋊D₅	φ: C₄/C₂ → C₂ ⊆ Out C₃×Dic₅	120	2	(C3xDic5).3C4	240,34
(C₃×Dic₅).₄C₄ = C₂×C₁₅⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out C₃×Dic₅	240		(C3xDic5).4C4	240,122
(C₃×Dic₅).₅C₄ = C₁₅⋊₈M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₃×Dic₅	120	4	(C3xDic5).5C4	240,123
(C₃×Dic₅).₆C₄ = C₆×C₅⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out C₃×Dic₅	240		(C3xDic5).6C4	240,115
(C₃×Dic₅).₇C₄ = C₃×C₂².F₅	φ: C₄/C₂ → C₂ ⊆ Out C₃×Dic₅	120	4	(C3xDic5).7C4	240,116
(C₃×Dic₅).₈C₄ = D₅×C₂₄	φ: trivial image	120	2	(C3xDic5).8C4	240,33

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