Extensions 1→N→G→Q→1 with N=D₆ and Q=C₂xF₅

Direct product G=NxQ with N=D₆ and Q=C₂xF₅

		d	ρ	Label	ID
C₂²xS₃xF₅		60		C2^2xS3xF5	480,1197

Semidirect products G=N:Q with N=D₆ and Q=C₂xF₅

extension	φ:Q→Out N	d	ρ	Label	ID
D₆:₁(C₂xF₅) = F₅xD₁₂	φ: C₂xF₅/F₅ → C₂ ⊆ Out D₆	60	8+	D6:1(C2xF5)	480,995
D₆:₂(C₂xF₅) = D₆₀:₃C₄	φ: C₂xF₅/F₅ → C₂ ⊆ Out D₆	60	8+	D6:2(C2xF5)	480,997
D₆:₃(C₂xF₅) = F₅xC₃:D₄	φ: C₂xF₅/F₅ → C₂ ⊆ Out D₆	60	8	D6:3(C2xF5)	480,1010
D₆:₄(C₂xF₅) = C₃:D₄:F₅	φ: C₂xF₅/F₅ → C₂ ⊆ Out D₆	60	8	D6:4(C2xF5)	480,1012
D₆:₅(C₂xF₅) = C₂xD₆:F₅	φ: C₂xF₅/D₁₀ → C₂ ⊆ Out D₆	120		D6:5(C2xF5)	480,1000
D₆:₆(C₂xF₅) = S₃xC₂²:F₅	φ: C₂xF₅/D₁₀ → C₂ ⊆ Out D₆	60	8+	D6:6(C2xF5)	480,1011

Non-split extensions G=N.Q with N=D₆ and Q=C₂xF₅

extension	φ:Q→Out N	d	ρ	Label	ID
D₆.₁(C₂xF₅) = D₁₂.₂F₅	φ: C₂xF₅/F₅ → C₂ ⊆ Out D₆	240	8-	D6.1(C2xF5)	480,987
D₆.₂(C₂xF₅) = D₁₂.F₅	φ: C₂xF₅/F₅ → C₂ ⊆ Out D₆	240	8-	D6.2(C2xF5)	480,989
D₆.₃(C₂xF₅) = C₅:C₈.D₆	φ: C₂xF₅/F₅ → C₂ ⊆ Out D₆	240	8	D6.3(C2xF5)	480,1003
D₆.₄(C₂xF₅) = D₁₅:C₈:C₂	φ: C₂xF₅/F₅ → C₂ ⊆ Out D₆	240	8	D6.4(C2xF5)	480,1005
D₆.₅(C₂xF₅) = C₄:F₅:₃S₃	φ: C₂xF₅/D₁₀ → C₂ ⊆ Out D₆	120	8	D6.5(C2xF5)	480,983
D₆.₆(C₂xF₅) = (C₄xS₃):F₅	φ: C₂xF₅/D₁₀ → C₂ ⊆ Out D₆	120	8	D6.6(C2xF5)	480,985
D₆.₇(C₂xF₅) = D₁₅:M₄(2)	φ: C₂xF₅/D₁₀ → C₂ ⊆ Out D₆	120	8	D6.7(C2xF5)	480,991
D₆.₈(C₂xF₅) = C₅:C₈:D₆	φ: C₂xF₅/D₁₀ → C₂ ⊆ Out D₆	120	8	D6.8(C2xF5)	480,993
D₆.₉(C₂xF₅) = S₃xC₂².F₅	φ: C₂xF₅/D₁₀ → C₂ ⊆ Out D₆	120	8-	D6.9(C2xF5)	480,1004
D₆.₁₀(C₂xF₅) = C₂xD₆.F₅	φ: C₂xF₅/D₁₀ → C₂ ⊆ Out D₆	240		D6.10(C2xF5)	480,1008
D₆.₁₁(C₂xF₅) = S₃xD₅:C₈	φ: trivial image	120	8	D6.11(C2xF5)	480,986
D₆.₁₂(C₂xF₅) = S₃xC₄.F₅	φ: trivial image	120	8	D6.12(C2xF5)	480,988
D₆.₁₃(C₂xF₅) = C₄xS₃xF₅	φ: trivial image	60	8	D6.13(C2xF5)	480,994
D₆.₁₄(C₂xF₅) = S₃xC₄:F₅	φ: trivial image	60	8	D6.14(C2xF5)	480,996
D₆.₁₅(C₂xF₅) = C₂xS₃xC₅:C₈	φ: trivial image	240		D6.15(C2xF5)	480,1002

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