Extensions 1→N→G→Q→1 with N=C₂×F₅ and Q=D₆

Direct product G=N×Q with N=C₂×F₅ and Q=D₆

		d	ρ	Label	ID
C₂²×S₃×F₅		60		C2^2xS3xF5	480,1197

Semidirect products G=N:Q with N=C₂×F₅ and Q=D₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×F₅)⋊₁D₆ = S₃×C₂²⋊F₅	φ: D₆/S₃ → C₂ ⊆ Out C₂×F₅	60	8+	(C2xF5):1D6	480,1011
(C₂×F₅)⋊₂D₆ = C₂×D₆⋊F₅	φ: D₆/C₆ → C₂ ⊆ Out C₂×F₅	120		(C2xF5):2D6	480,1000

Non-split extensions G=N.Q with N=C₂×F₅ and Q=D₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×F₅).₁D₆ = C₄⋊F₅⋊₃S₃	φ: D₆/S₃ → C₂ ⊆ Out C₂×F₅	120	8	(C2xF5).1D6	480,983
(C₂×F₅).₂D₆ = Dic₆⋊₅F₅	φ: D₆/S₃ → C₂ ⊆ Out C₂×F₅	120	8-	(C2xF5).2D6	480,984
(C₂×F₅).₃D₆ = S₃×C₄⋊F₅	φ: D₆/S₃ → C₂ ⊆ Out C₂×F₅	60	8	(C2xF5).3D6	480,996
(C₂×F₅).₄D₆ = D₆₀⋊₃C₄	φ: D₆/S₃ → C₂ ⊆ Out C₂×F₅	60	8+	(C2xF5).4D6	480,997
(C₂×F₅).₅D₆ = C₂²⋊F₅.S₃	φ: D₆/S₃ → C₂ ⊆ Out C₂×F₅	120	8-	(C2xF5).5D6	480,999
(C₂×F₅).₆D₆ = C₃⋊D₄⋊F₅	φ: D₆/S₃ → C₂ ⊆ Out C₂×F₅	60	8	(C2xF5).6D6	480,1012
(C₂×F₅).₇D₆ = (C₄×S₃)⋊F₅	φ: D₆/C₆ → C₂ ⊆ Out C₂×F₅	120	8	(C2xF5).7D6	480,985
(C₂×F₅).₈D₆ = C₂×Dic₃⋊F₅	φ: D₆/C₆ → C₂ ⊆ Out C₂×F₅	120		(C2xF5).8D6	480,1001
(C₂×F₅).₉D₆ = F₅×Dic₆	φ: trivial image	120	8-	(C2xF5).9D6	480,982
(C₂×F₅).₁₀D₆ = C₄×S₃×F₅	φ: trivial image	60	8	(C2xF5).10D6	480,994
(C₂×F₅).₁₁D₆ = F₅×D₁₂	φ: trivial image	60	8+	(C2xF5).11D6	480,995
(C₂×F₅).₁₂D₆ = C₂×Dic₃×F₅	φ: trivial image	120		(C2xF5).12D6	480,998
(C₂×F₅).₁₃D₆ = F₅×C₃⋊D₄	φ: trivial image	60	8	(C2xF5).13D6	480,1010

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