Extensions 1→N→G→Q→1 with N=Dic₇ and Q=C₂×C₈

Direct product G=N×Q with N=Dic₇ and Q=C₂×C₈

		d	ρ	Label	ID
C₂×C₈×Dic₇		448		C2xC8xDic7	448,632

Semidirect products G=N:Q with N=Dic₇ and Q=C₂×C₈

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₇⋊₁(C₂×C₈) = C₇⋊D₄⋊C₈	φ: C₂×C₈/C₈ → C₂ ⊆ Out Dic₇	224		Dic7:1(C2xC8)	448,259
Dic₇⋊₂(C₂×C₈) = C₈×C₇⋊D₄	φ: C₂×C₈/C₈ → C₂ ⊆ Out Dic₇	224		Dic7:2(C2xC8)	448,643
Dic₇⋊₃(C₂×C₈) = D₇×C₄⋊C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Out Dic₇	224		Dic7:3(C2xC8)	448,366
Dic₇⋊₄(C₂×C₈) = C₂×Dic₇⋊C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Out Dic₇	448		Dic7:4(C2xC8)	448,633
Dic₇⋊₅(C₂×C₈) = D₇×C₄×C₈	φ: trivial image	224		Dic7:5(C2xC8)	448,218

Non-split extensions G=N.Q with N=Dic₇ and Q=C₂×C₈

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₇.₁(C₂×C₈) = C₈×Dic₁₄	φ: C₂×C₈/C₈ → C₂ ⊆ Out Dic₇	448		Dic7.1(C2xC8)	448,212
Dic₇.₂(C₂×C₈) = Dic₁₄⋊C₈	φ: C₂×C₈/C₈ → C₂ ⊆ Out Dic₇	448		Dic7.2(C2xC8)	448,364
Dic₇.₃(C₂×C₈) = D₂₈.₄C₈	φ: C₂×C₈/C₈ → C₂ ⊆ Out Dic₇	224	2	Dic7.3(C2xC8)	448,435
Dic₇.₄(C₂×C₈) = C₁₆.₁₂D₁₄	φ: C₂×C₈/C₈ → C₂ ⊆ Out Dic₇	224	4	Dic7.4(C2xC8)	448,441
Dic₇.₅(C₂×C₈) = C₄².₂₈₂D₁₄	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Out Dic₇	224		Dic7.5(C2xC8)	448,219
Dic₇.₆(C₂×C₈) = C₂×C₁₆⋊D₇	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Out Dic₇	224		Dic7.6(C2xC8)	448,434
Dic₇.₇(C₂×C₈) = D₇×M₅(2)	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Out Dic₇	112	4	Dic7.7(C2xC8)	448,440
Dic₇.₈(C₂×C₈) = Dic₇.₅M₄(2)	φ: trivial image	224		Dic7.8(C2xC8)	448,252
Dic₇.₉(C₂×C₈) = C₄².₂₀₀D₁₄	φ: trivial image	224		Dic7.9(C2xC8)	448,367
Dic₇.₁₀(C₂×C₈) = D₇×C₂×C₁₆	φ: trivial image	224		Dic7.10(C2xC8)	448,433

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