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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₆⋊₁(C₂×F₅) = F₅×D₁₂	φ: C₂×F₅/F₅ → C₂ ⊆ Out D₆	60	8+	D6:1(C2xF5)	480,995
D₆⋊₂(C₂×F₅) = D₆₀⋊₃C₄	φ: C₂×F₅/F₅ → C₂ ⊆ Out D₆	60	8+	D6:2(C2xF5)	480,997
D₆⋊₃(C₂×F₅) = F₅×C₃⋊D₄	φ: C₂×F₅/F₅ → C₂ ⊆ Out D₆	60	8	D6:3(C2xF5)	480,1010
D₆⋊₄(C₂×F₅) = C₃⋊D₄⋊F₅	φ: C₂×F₅/F₅ → C₂ ⊆ Out D₆	60	8	D6:4(C2xF5)	480,1012
D₆⋊₅(C₂×F₅) = C₂×D₆⋊F₅	φ: C₂×F₅/D₁₀ → C₂ ⊆ Out D₆	120		D6:5(C2xF5)	480,1000
D₆⋊₆(C₂×F₅) = S₃×C₂²⋊F₅	φ: C₂×F₅/D₁₀ → C₂ ⊆ Out D₆	60	8+	D6:6(C2xF5)	480,1011

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₆.₁(C₂×F₅) = D₁₂.₂F₅	φ: C₂×F₅/F₅ → C₂ ⊆ Out D₆	240	8-	D6.1(C2xF5)	480,987
D₆.₂(C₂×F₅) = D₁₂.F₅	φ: C₂×F₅/F₅ → C₂ ⊆ Out D₆	240	8-	D6.2(C2xF5)	480,989
D₆.₃(C₂×F₅) = C₅⋊C₈.D₆	φ: C₂×F₅/F₅ → C₂ ⊆ Out D₆	240	8	D6.3(C2xF5)	480,1003
D₆.₄(C₂×F₅) = D₁₅⋊C₈⋊C₂	φ: C₂×F₅/F₅ → C₂ ⊆ Out D₆	240	8	D6.4(C2xF5)	480,1005
D₆.₅(C₂×F₅) = C₄⋊F₅⋊₃S₃	φ: C₂×F₅/D₁₀ → C₂ ⊆ Out D₆	120	8	D6.5(C2xF5)	480,983
D₆.₆(C₂×F₅) = (C₄×S₃)⋊F₅	φ: C₂×F₅/D₁₀ → C₂ ⊆ Out D₆	120	8	D6.6(C2xF5)	480,985
D₆.₇(C₂×F₅) = D₁₅⋊M₄(2)	φ: C₂×F₅/D₁₀ → C₂ ⊆ Out D₆	120	8	D6.7(C2xF5)	480,991
D₆.₈(C₂×F₅) = C₅⋊C₈⋊D₆	φ: C₂×F₅/D₁₀ → C₂ ⊆ Out D₆	120	8	D6.8(C2xF5)	480,993
D₆.₉(C₂×F₅) = S₃×C₂².F₅	φ: C₂×F₅/D₁₀ → C₂ ⊆ Out D₆	120	8-	D6.9(C2xF5)	480,1004
D₆.₁₀(C₂×F₅) = C₂×D₆.F₅	φ: C₂×F₅/D₁₀ → C₂ ⊆ Out D₆	240		D6.10(C2xF5)	480,1008
D₆.₁₁(C₂×F₅) = S₃×D₅⋊C₈	φ: trivial image	120	8	D6.11(C2xF5)	480,986
D₆.₁₂(C₂×F₅) = S₃×C₄.F₅	φ: trivial image	120	8	D6.12(C2xF5)	480,988
D₆.₁₃(C₂×F₅) = C₄×S₃×F₅	φ: trivial image	60	8	D6.13(C2xF5)	480,994
D₆.₁₄(C₂×F₅) = S₃×C₄⋊F₅	φ: trivial image	60	8	D6.14(C2xF5)	480,996
D₆.₁₅(C₂×F₅) = C₂×S₃×C₅⋊C₈	φ: trivial image	240		D6.15(C2xF5)	480,1002

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