Extensions 1→N→G→Q→1 with N=D₆ and Q=C₂×Dic₅

Direct product G=N×Q with N=D₆ and Q=C₂×Dic₅

		d	ρ	Label	ID
C₂²×S₃×Dic₅		240		C2^2xS3xDic5	480,1115

Semidirect products G=N:Q with N=D₆ and Q=C₂×Dic₅

extension	φ:Q→Out N	d	ρ	Label	ID
D₆⋊₁(C₂×Dic₅) = Dic₅×D₁₂	φ: C₂×Dic₅/Dic₅ → C₂ ⊆ Out D₆	240		D6:1(C2xDic5)	480,491
D₆⋊₂(C₂×Dic₅) = Dic₁₅⋊₈D₄	φ: C₂×Dic₅/Dic₅ → C₂ ⊆ Out D₆	240		D6:2(C2xDic5)	480,511
D₆⋊₃(C₂×Dic₅) = Dic₅×C₃⋊D₄	φ: C₂×Dic₅/Dic₅ → C₂ ⊆ Out D₆	240		D6:3(C2xDic5)	480,627
D₆⋊₄(C₂×Dic₅) = Dic₁₅⋊₁₇D₄	φ: C₂×Dic₅/Dic₅ → C₂ ⊆ Out D₆	240		D6:4(C2xDic5)	480,636
D₆⋊₅(C₂×Dic₅) = C₂×D₆⋊Dic₅	φ: C₂×Dic₅/C₂×C₁₀ → C₂ ⊆ Out D₆	240		D6:5(C2xDic5)	480,614
D₆⋊₆(C₂×Dic₅) = S₃×C₂³.D₅	φ: C₂×Dic₅/C₂×C₁₀ → C₂ ⊆ Out D₆	120		D6:6(C2xDic5)	480,630

Non-split extensions G=N.Q with N=D₆ and Q=C₂×Dic₅

extension	φ:Q→Out N	d	ρ	Label	ID
D₆.₁(C₂×Dic₅) = D₁₂.₂Dic₅	φ: C₂×Dic₅/Dic₅ → C₂ ⊆ Out D₆	240	4	D6.1(C2xDic5)	480,362
D₆.₂(C₂×Dic₅) = D₁₂.Dic₅	φ: C₂×Dic₅/Dic₅ → C₂ ⊆ Out D₆	240	4	D6.2(C2xDic5)	480,364
D₆.₃(C₂×Dic₅) = C₂×D₆.Dic₅	φ: C₂×Dic₅/C₂×C₁₀ → C₂ ⊆ Out D₆	240		D6.3(C2xDic5)	480,370
D₆.₄(C₂×Dic₅) = (S₃×C₂₀)⋊₅C₄	φ: C₂×Dic₅/C₂×C₁₀ → C₂ ⊆ Out D₆	240		D6.4(C2xDic5)	480,414
D₆.₅(C₂×Dic₅) = (S₃×C₂₀)⋊₇C₄	φ: C₂×Dic₅/C₂×C₁₀ → C₂ ⊆ Out D₆	240		D6.5(C2xDic5)	480,447
D₆.₆(C₂×Dic₅) = C₂×S₃×C₅⋊₂C₈	φ: trivial image	240		D6.6(C2xDic5)	480,361
D₆.₇(C₂×Dic₅) = S₃×C₄.Dic₅	φ: trivial image	120	4	D6.7(C2xDic5)	480,363
D₆.₈(C₂×Dic₅) = C₄×S₃×Dic₅	φ: trivial image	240		D6.8(C2xDic5)	480,473
D₆.₉(C₂×Dic₅) = S₃×C₄⋊Dic₅	φ: trivial image	240		D6.9(C2xDic5)	480,502

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