Extensions 1→N→G→Q→1 with N=M₄(2) and Q=F₅

Direct product G=N×Q with N=M₄(2) and Q=F₅

		d	ρ	Label	ID
M₄(2)×F₅		40	8	M4(2)xF5	320,1064

Semidirect products G=N:Q with N=M₄(2) and Q=F₅

extension	φ:Q→Out N	d	ρ	Label	ID
M₄(2)⋊₁F₅ = M₄(2)⋊₁F₅	φ: F₅/D₅ → C₂ ⊆ Out M₄(2)	40	8	M4(2):1F5	320,1065
M₄(2)⋊₂F₅ = M₄(2)⋊F₅	φ: F₅/D₅ → C₂ ⊆ Out M₄(2)	40	8	M4(2):2F5	320,237
M₄(2)⋊₃F₅ = M₄(2)⋊₃F₅	φ: F₅/D₅ → C₂ ⊆ Out M₄(2)	40	8	M4(2):3F5	320,238
M₄(2)⋊₄F₅ = M₄(2)⋊₄F₅	φ: F₅/D₅ → C₂ ⊆ Out M₄(2)	80	8	M4(2):4F5	320,240
M₄(2)⋊₅F₅ = M₄(2)⋊₅F₅	φ: trivial image	80	8	M4(2):5F5	320,1066

Non-split extensions G=N.Q with N=M₄(2) and Q=F₅

extension	φ:Q→Out N	d	ρ	Label	ID
M₄(2).₁F₅ = M₄(2).₁F₅	φ: F₅/D₅ → C₂ ⊆ Out M₄(2)	80	8	M4(2).1F5	320,1067
M₄(2).₂F₅ = D₂₀.C₈	φ: F₅/D₅ → C₂ ⊆ Out M₄(2)	160	8	M4(2).2F5	320,236
M₄(2).₃F₅ = M₄(2).F₅	φ: F₅/D₅ → C₂ ⊆ Out M₄(2)	80	8	M4(2).3F5	320,239
M₄(2).₄F₅ = Dic₁₀.C₈	φ: trivial image	160	8	M4(2).4F5	320,1063

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