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

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

		d	ρ	Label	ID
M₄(2)×C₂₈		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 = C₇×M₄(2)⋊C₄	φ: C₂₈/C₁₄ → C₂ ⊆ Out M₄(2)	224		M4(2):1C28	448,836
M₄(2)⋊₂C₂₈ = C₇×C₄²⋊₆C₄	φ: C₂₈/C₁₄ → C₂ ⊆ Out M₄(2)	112		M4(2):2C28	448,143
M₄(2)⋊₃C₂₈ = C₇×C₂².C₄²	φ: C₂₈/C₁₄ → C₂ ⊆ Out M₄(2)	224		M4(2):3C28	448,147
M₄(2)⋊₄C₂₈ = C₇×M₄(2)⋊₄C₄	φ: C₂₈/C₁₄ → C₂ ⊆ Out M₄(2)	112	4	M4(2):4C28	448,148
M₄(2)⋊₅C₂₈ = C₇×C₈○₂M₄(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 = C₇×M₄(2).C₄	φ: C₂₈/C₁₄ → C₂ ⊆ Out M₄(2)	112	4	M4(2).1C28	448,838
M₄(2).₂C₂₈ = C₇×C₄.C₄²	φ: C₂₈/C₁₄ → C₂ ⊆ Out M₄(2)	224		M4(2).2C28	448,145
M₄(2).₃C₂₈ = C₇×D₄.C₈	φ: C₂₈/C₁₄ → C₂ ⊆ Out M₄(2)	224	2	M4(2).3C28	448,154
M₄(2).₄C₂₈ = C₇×D₄○C₁₆	φ: trivial image	224	2	M4(2).4C28	448,912

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁