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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₇⋊₁M₄(2) = Dic₇⋊M₄(2)	φ: M₄(2)/C₈ → C₂ ⊆ Out Dic₇	224		Dic7:1M4(2)	448,263
Dic₇⋊₂M₄(2) = C₅₆⋊₁₈D₄	φ: M₄(2)/C₈ → C₂ ⊆ Out Dic₇	224		Dic7:2M4(2)	448,662
Dic₇⋊₃M₄(2) = C₂₈⋊M₄(2)	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Out Dic₇	224		Dic7:3M4(2)	448,371
Dic₇⋊₄M₄(2) = Dic₇⋊₄M₄(2)	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Out Dic₇	224		Dic7:4M4(2)	448,652
Dic₇⋊₅M₄(2) = Dic₇.C₄²	φ: trivial image	224		Dic7:5M4(2)	448,241

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

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₇.₁M₄(2) = C₅₆⋊Q₈	φ: M₄(2)/C₈ → C₂ ⊆ Out Dic₇	448		Dic7.1M4(2)	448,235
Dic₇.₂M₄(2) = C₄².₂₇D₁₄	φ: M₄(2)/C₈ → C₂ ⊆ Out Dic₇	448		Dic7.2M4(2)	448,362
Dic₇.₃M₄(2) = C₄².₁₈₂D₁₄	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Out Dic₇	224		Dic7.3M4(2)	448,239
Dic₇.₄M₄(2) = Dic₇.M₄(2)	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Out Dic₇	224		Dic7.4M4(2)	448,253
Dic₇.₅M₄(2) = Dic₇.₅M₄(2)	φ: trivial image	224		Dic7.5M4(2)	448,252
Dic₇.₆M₄(2) = C₄².₂₀₀D₁₄	φ: trivial image	224		Dic7.6M4(2)	448,367

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁