Extensions 1→N→G→Q→1 with N=D₄ and Q=C₆×D₅

Direct product G=N×Q with N=D₄ and Q=C₆×D₅

		d	ρ	Label	ID
C₆×D₄×D₅		120		C6xD4xD5	480,1139

Semidirect products G=N:Q with N=D₄ and Q=C₆×D₅

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₁(C₆×D₅) = C₃×D₅×D₈	φ: C₆×D₅/C₃×D₅ → C₂ ⊆ Out D₄	120	4	D4:1(C6xD5)	480,703
D₄⋊₂(C₆×D₅) = C₃×D₈⋊D₅	φ: C₆×D₅/C₃×D₅ → C₂ ⊆ Out D₄	120	4	D4:2(C6xD5)	480,704
D₄⋊₃(C₆×D₅) = C₆×D₄⋊D₅	φ: C₆×D₅/C₃₀ → C₂ ⊆ Out D₄	240		D4:3(C6xD5)	480,724
D₄⋊₄(C₆×D₅) = C₃×D₄⋊D₁₀	φ: C₆×D₅/C₃₀ → C₂ ⊆ Out D₄	120	4	D4:4(C6xD5)	480,742
D₄⋊₅(C₆×D₅) = C₆×D₄⋊₂D₅	φ: trivial image	240		D4:5(C6xD5)	480,1140
D₄⋊₆(C₆×D₅) = C₃×D₄⋊₆D₁₀	φ: trivial image	120	4	D4:6(C6xD5)	480,1141
D₄⋊₇(C₆×D₅) = C₃×D₅×C₄○D₄	φ: trivial image	120	4	D4:7(C6xD5)	480,1145
D₄⋊₈(C₆×D₅) = C₃×D₄⋊₈D₁₀	φ: trivial image	120	4	D4:8(C6xD5)	480,1146

Non-split extensions G=N.Q with N=D₄ and Q=C₆×D₅

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.₁(C₆×D₅) = C₃×D₈⋊₃D₅	φ: C₆×D₅/C₃×D₅ → C₂ ⊆ Out D₄	240	4	D4.1(C6xD5)	480,705
D₄.₂(C₆×D₅) = C₃×D₅×SD₁₆	φ: C₆×D₅/C₃×D₅ → C₂ ⊆ Out D₄	120	4	D4.2(C6xD5)	480,706
D₄.₃(C₆×D₅) = C₃×D₄₀⋊C₂	φ: C₆×D₅/C₃×D₅ → C₂ ⊆ Out D₄	120	4	D4.3(C6xD5)	480,707
D₄.₄(C₆×D₅) = C₃×SD₁₆⋊D₅	φ: C₆×D₅/C₃×D₅ → C₂ ⊆ Out D₄	240	4	D4.4(C6xD5)	480,708
D₄.₅(C₆×D₅) = C₃×SD₁₆⋊₃D₅	φ: C₆×D₅/C₃×D₅ → C₂ ⊆ Out D₄	240	4	D4.5(C6xD5)	480,709
D₄.₆(C₆×D₅) = C₃×D₄.D₁₀	φ: C₆×D₅/C₃₀ → C₂ ⊆ Out D₄	120	4	D4.6(C6xD5)	480,725
D₄.₇(C₆×D₅) = C₆×D₄.D₅	φ: C₆×D₅/C₃₀ → C₂ ⊆ Out D₄	240		D4.7(C6xD5)	480,726
D₄.₈(C₆×D₅) = C₃×D₄.₈D₁₀	φ: C₆×D₅/C₃₀ → C₂ ⊆ Out D₄	240	4	D4.8(C6xD5)	480,743
D₄.₉(C₆×D₅) = C₃×D₄.₉D₁₀	φ: C₆×D₅/C₃₀ → C₂ ⊆ Out D₄	240	4	D4.9(C6xD5)	480,744
D₄.₁₀(C₆×D₅) = C₃×D₄.₁₀D₁₀	φ: trivial image	240	4	D4.10(C6xD5)	480,1147

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