Extensions 1→N→G→Q→1 with N=M₄(2) and Q=Dic₇

Direct product G=N×Q with N=M₄(2) and Q=Dic₇

		d	ρ	Label	ID
M₄(2)×Dic₇		224		M4(2)xDic7	448,651

Semidirect products G=N:Q with N=M₄(2) and Q=Dic₇

extension	φ:Q→Out N	d	ρ	Label	ID
M₄(2)⋊₁Dic₇ = C₂³.₄₇D₂₈	φ: Dic₇/C₁₄ → C₂ ⊆ Out M₄(2)	224		M4(2):1Dic7	448,655
M₄(2)⋊₂Dic₇ = M₄(2)⋊Dic₇	φ: Dic₇/C₁₄ → C₂ ⊆ Out M₄(2)	224		M4(2):2Dic7	448,111
M₄(2)⋊₃Dic₇ = C₂₈.₃C₄²	φ: Dic₇/C₁₄ → C₂ ⊆ Out M₄(2)	112		M4(2):3Dic7	448,112
M₄(2)⋊₄Dic₇ = M₄(2)⋊₄Dic₇	φ: Dic₇/C₁₄ → C₂ ⊆ Out M₄(2)	112	4	M4(2):4Dic7	448,116
M₄(2)⋊₅Dic₇ = C₂₈.₇C₄²	φ: trivial image	224		M4(2):5Dic7	448,656

Non-split extensions G=N.Q with N=M₄(2) and Q=Dic₇

extension	φ:Q→Out N	d	ρ	Label	ID
M₄(2).₁Dic₇ = M₄(2).Dic₇	φ: Dic₇/C₁₄ → C₂ ⊆ Out M₄(2)	112	4	M4(2).1Dic7	448,659
M₄(2).₂Dic₇ = C₂₈.₄C₄²	φ: Dic₇/C₁₄ → C₂ ⊆ Out M₄(2)	224		M4(2).2Dic7	448,115
M₄(2).₃Dic₇ = C₅₆.₉₂D₄	φ: Dic₇/C₁₄ → C₂ ⊆ Out M₄(2)	224	4	M4(2).3Dic7	448,118
M₄(2).₄Dic₇ = C₅₆.₇₀C₂³	φ: trivial image	224	4	M4(2).4Dic7	448,674

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁