Extensions 1→N→G→Q→1 with N=C₆×D₄ and Q=C₁₀

Direct product G=N×Q with N=C₆×D₄ and Q=C₁₀

		d	ρ	Label	ID
D₄×C₂×C₃₀		240		D4xC2xC30	480,1181

Semidirect products G=N:Q with N=C₆×D₄ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×D₄)⋊₁C₁₀ = C₁₀×D₄⋊S₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₆×D₄	240		(C6xD4):1C10	480,810
(C₆×D₄)⋊₂C₁₀ = C₅×D₁₂⋊₆C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out C₆×D₄	120	4	(C6xD4):2C10	480,811
(C₆×D₄)⋊₃C₁₀ = C₅×D₆⋊₃D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₆×D₄	240		(C6xD4):3C10	480,817
(C₆×D₄)⋊₄C₁₀ = C₅×C₁₂⋊₃D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₆×D₄	240		(C6xD4):4C10	480,819
(C₆×D₄)⋊₅C₁₀ = S₃×D₄×C₁₀	φ: C₁₀/C₅ → C₂ ⊆ Out C₆×D₄	120		(C6xD4):5C10	480,1154
(C₆×D₄)⋊₆C₁₀ = C₁₀×D₄⋊₂S₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₆×D₄	240		(C6xD4):6C10	480,1155
(C₆×D₄)⋊₇C₁₀ = C₅×D₄⋊₆D₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₆×D₄	120	4	(C6xD4):7C10	480,1156
(C₆×D₄)⋊₈C₁₀ = C₅×C₂³⋊₂D₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₆×D₄	120		(C6xD4):8C10	480,816
(C₆×D₄)⋊₉C₁₀ = C₅×C₂³.₁₄D₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₆×D₄	240		(C6xD4):9C10	480,818
(C₆×D₄)⋊₁₀C₁₀ = C₁₅×C₂²≀C₂	φ: C₁₀/C₅ → C₂ ⊆ Out C₆×D₄	120		(C6xD4):10C10	480,925
(C₆×D₄)⋊₁₁C₁₀ = C₁₅×C₄⋊D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₆×D₄	240		(C6xD4):11C10	480,926
(C₆×D₄)⋊₁₂C₁₀ = C₁₅×C₄⋊₁D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₆×D₄	240		(C6xD4):12C10	480,932
(C₆×D₄)⋊₁₃C₁₀ = D₈×C₃₀	φ: C₁₀/C₅ → C₂ ⊆ Out C₆×D₄	240		(C6xD4):13C10	480,937
(C₆×D₄)⋊₁₄C₁₀ = C₁₅×C₈⋊C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out C₆×D₄	120	4	(C6xD4):14C10	480,941
(C₆×D₄)⋊₁₅C₁₀ = C₁₅×2₊¹⁺⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₆×D₄	120	4	(C6xD4):15C10	480,1184
(C₆×D₄)⋊₁₆C₁₀ = C₄○D₄×C₃₀	φ: trivial image	240		(C6xD4):16C10	480,1183

Non-split extensions G=N.Q with N=C₆×D₄ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×D₄).₁C₁₀ = C₅×D₄⋊Dic₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₆×D₄	240		(C6xD4).1C10	480,151
(C₆×D₄).₂C₁₀ = C₅×C₁₂.D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₆×D₄	120	4	(C6xD4).2C10	480,152
(C₆×D₄).₃C₁₀ = C₁₀×D₄.S₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₆×D₄	240		(C6xD4).3C10	480,812
(C₆×D₄).₄C₁₀ = C₅×D₄×Dic₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₆×D₄	240		(C6xD4).4C10	480,813
(C₆×D₄).₅C₁₀ = C₅×C₂³.₁₂D₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₆×D₄	240		(C6xD4).5C10	480,815
(C₆×D₄).₆C₁₀ = C₅×C₂³.₇D₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₆×D₄	120	4	(C6xD4).6C10	480,153
(C₆×D₄).₇C₁₀ = C₁₅×C₂³⋊C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₆×D₄	120	4	(C6xD4).7C10	480,202
(C₆×D₄).₈C₁₀ = C₁₅×C₄.D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₆×D₄	120	4	(C6xD4).8C10	480,203
(C₆×D₄).₉C₁₀ = C₁₅×D₄⋊C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₆×D₄	240		(C6xD4).9C10	480,205
(C₆×D₄).₁₀C₁₀ = C₅×C₂³.₂₃D₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₆×D₄	240		(C6xD4).10C10	480,814
(C₆×D₄).₁₁C₁₀ = C₁₅×C₂².D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₆×D₄	240		(C6xD4).11C10	480,928
(C₆×D₄).₁₂C₁₀ = C₁₅×C₄.₄D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₆×D₄	240		(C6xD4).12C10	480,929
(C₆×D₄).₁₃C₁₀ = SD₁₆×C₃₀	φ: C₁₀/C₅ → C₂ ⊆ Out C₆×D₄	240		(C6xD4).13C10	480,938
(C₆×D₄).₁₄C₁₀ = D₄×C₆₀	φ: trivial image	240		(C6xD4).14C10	480,923

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