Extensions 1→N→G→Q→1 with N=M₄(2) and Q=Dic₅

Direct product G=N×Q with N=M₄(2) and Q=Dic₅

		d	ρ	Label	ID
M₄(2)×Dic₅		160		M4(2)xDic5	320,744

Semidirect products G=N:Q with N=M₄(2) and Q=Dic₅

extension	φ:Q→Out N	d	ρ	Label	ID
M₄(2)⋊₁Dic₅ = C₂³.₄₇D₂₀	φ: Dic₅/C₁₀ → C₂ ⊆ Out M₄(2)	160		M4(2):1Dic5	320,748
M₄(2)⋊₂Dic₅ = M₄(2)⋊Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Out M₄(2)	160		M4(2):2Dic5	320,112
M₄(2)⋊₃Dic₅ = C₂₀.₃₃C₄²	φ: Dic₅/C₁₀ → C₂ ⊆ Out M₄(2)	80		M4(2):3Dic5	320,113
M₄(2)⋊₄Dic₅ = M₄(2)⋊₄Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Out M₄(2)	80	4	M4(2):4Dic5	320,117
M₄(2)⋊₅Dic₅ = C₂₀.₃₇C₄²	φ: trivial image	160		M4(2):5Dic5	320,749

Non-split extensions G=N.Q with N=M₄(2) and Q=Dic₅

extension	φ:Q→Out N	d	ρ	Label	ID
M₄(2).₁Dic₅ = M₄(2).Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Out M₄(2)	80	4	M4(2).1Dic5	320,752
M₄(2).₂Dic₅ = C₂₀.₃₄C₄²	φ: Dic₅/C₁₀ → C₂ ⊆ Out M₄(2)	160		M4(2).2Dic5	320,116
M₄(2).₃Dic₅ = C₄₀.₉₂D₄	φ: Dic₅/C₁₀ → C₂ ⊆ Out M₄(2)	160	4	M4(2).3Dic5	320,119
M₄(2).₄Dic₅ = C₄₀.₇₀C₂³	φ: trivial image	160	4	M4(2).4Dic5	320,767

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