Extensions 1→N→G→Q→1 with N=M₄(2) and Q=C₂₈

Direct product G=NxQ with N=M₄(2) and Q=C₂₈

		d	ρ	Label	ID
M₄(2)xC₂₈		224		M4(2)xC28	448,812

Semidirect products G=N:Q with N=M₄(2) and Q=C₂₈

extension	φ:Q→Out N	d	ρ	Label	ID
M₄(2):₁C₂₈ = C₇xM₄(2):C₄	φ: C₂₈/C₁₄ → C₂ ⊆ Out M₄(2)	224		M4(2):1C28	448,836
M₄(2):₂C₂₈ = C₇xC₄²:₆C₄	φ: C₂₈/C₁₄ → C₂ ⊆ Out M₄(2)	112		M4(2):2C28	448,143
M₄(2):₃C₂₈ = C₇xC₂².C₄²	φ: C₂₈/C₁₄ → C₂ ⊆ Out M₄(2)	224		M4(2):3C28	448,147
M₄(2):₄C₂₈ = C₇xM₄(2):₄C₄	φ: C₂₈/C₁₄ → C₂ ⊆ Out M₄(2)	112	4	M4(2):4C28	448,148
M₄(2):₅C₂₈ = C₇xC₈o₂M₄(2)	φ: trivial image	224		M4(2):5C28	448,813

Non-split extensions G=N.Q with N=M₄(2) and Q=C₂₈

extension	φ:Q→Out N	d	ρ	Label	ID
M₄(2).₁C₂₈ = C₇xM₄(2).C₄	φ: C₂₈/C₁₄ → C₂ ⊆ Out M₄(2)	112	4	M4(2).1C28	448,838
M₄(2).₂C₂₈ = C₇xC₄.C₄²	φ: C₂₈/C₁₄ → C₂ ⊆ Out M₄(2)	224		M4(2).2C28	448,145
M₄(2).₃C₂₈ = C₇xD₄.C₈	φ: C₂₈/C₁₄ → C₂ ⊆ Out M₄(2)	224	2	M4(2).3C28	448,154
M₄(2).₄C₂₈ = C₇xD₄oC₁₆	φ: trivial image	224	2	M4(2).4C28	448,912

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