Extensions 1→N→G→Q→1 with N=D₆ and Q=C₅×D₄

Direct product G=N×Q with N=D₆ and Q=C₅×D₄

		d	ρ	Label	ID
S₃×D₄×C₁₀		120		S3xD4xC10	480,1154

Semidirect products G=N:Q with N=D₆ and Q=C₅×D₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₆⋊₁(C₅×D₄) = C₅×Dic₃⋊D₄	φ: C₅×D₄/C₂₀ → C₂ ⊆ Out D₆	240		D6:1(C5xD4)	480,763
D₆⋊₂(C₅×D₄) = C₅×C₁₂⋊D₄	φ: C₅×D₄/C₂₀ → C₂ ⊆ Out D₆	240		D6:2(C5xD4)	480,774
D₆⋊₃(C₅×D₄) = C₅×D₆⋊₃D₄	φ: C₅×D₄/C₂₀ → C₂ ⊆ Out D₆	240		D6:3(C5xD4)	480,817
D₆⋊₄(C₅×D₄) = C₅×D₆⋊D₄	φ: C₅×D₄/C₂×C₁₀ → C₂ ⊆ Out D₆	120		D6:4(C5xD4)	480,761
D₆⋊₅(C₅×D₄) = C₅×C₂³⋊₂D₆	φ: C₅×D₄/C₂×C₁₀ → C₂ ⊆ Out D₆	120		D6:5(C5xD4)	480,816

Non-split extensions G=N.Q with N=D₆ and Q=C₅×D₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₆.₁(C₅×D₄) = C₅×D₈⋊₃S₃	φ: C₅×D₄/C₂₀ → C₂ ⊆ Out D₆	240	4	D6.1(C5xD4)	480,791
D₆.₂(C₅×D₄) = C₅×Q₈.₇D₆	φ: C₅×D₄/C₂₀ → C₂ ⊆ Out D₆	240	4	D6.2(C5xD4)	480,795
D₆.₃(C₅×D₄) = C₅×D₂₄⋊C₂	φ: C₅×D₄/C₂₀ → C₂ ⊆ Out D₆	240	4	D6.3(C5xD4)	480,798
D₆.₄(C₅×D₄) = C₅×C₂³.₉D₆	φ: C₅×D₄/C₂×C₁₀ → C₂ ⊆ Out D₆	240		D6.4(C5xD4)	480,762
D₆.₅(C₅×D₄) = C₅×D₆.D₄	φ: C₅×D₄/C₂×C₁₀ → C₂ ⊆ Out D₆	240		D6.5(C5xD4)	480,773
D₆.₆(C₅×D₄) = C₅×D₈⋊S₃	φ: C₅×D₄/C₂×C₁₀ → C₂ ⊆ Out D₆	120	4	D6.6(C5xD4)	480,790
D₆.₇(C₅×D₄) = C₅×Q₈⋊₃D₆	φ: C₅×D₄/C₂×C₁₀ → C₂ ⊆ Out D₆	120	4	D6.7(C5xD4)	480,793
D₆.₈(C₅×D₄) = C₅×D₄.D₆	φ: C₅×D₄/C₂×C₁₀ → C₂ ⊆ Out D₆	240	4	D6.8(C5xD4)	480,794
D₆.₉(C₅×D₄) = C₅×Q₁₆⋊S₃	φ: C₅×D₄/C₂×C₁₀ → C₂ ⊆ Out D₆	240	4	D6.9(C5xD4)	480,797
D₆.₁₀(C₅×D₄) = C₅×S₃×C₂²⋊C₄	φ: trivial image	120		D6.10(C5xD4)	480,759
D₆.₁₁(C₅×D₄) = C₅×S₃×C₄⋊C₄	φ: trivial image	240		D6.11(C5xD4)	480,770
D₆.₁₂(C₅×D₄) = C₅×S₃×D₈	φ: trivial image	120	4	D6.12(C5xD4)	480,789
D₆.₁₃(C₅×D₄) = C₅×S₃×SD₁₆	φ: trivial image	120	4	D6.13(C5xD4)	480,792
D₆.₁₄(C₅×D₄) = C₅×S₃×Q₁₆	φ: trivial image	240	4	D6.14(C5xD4)	480,796

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