Extensions 1→N→G→Q→1 with N=D₄ and Q=C₇×Q₈

Direct product G=N×Q with N=D₄ and Q=C₇×Q₈

		d	ρ	Label	ID
C₇×D₄×Q₈		224		C7xD4xQ8	448,1332

Semidirect products G=N:Q with N=D₄ and Q=C₇×Q₈

extension	φ:Q→Out N	d	Label	ID
D₄⋊₁(C₇×Q₈) = C₇×D₄⋊Q₈	φ: C₇×Q₈/C₂₈ → C₂ ⊆ Out D₄	224	D4:1(C7xQ8)	448,882
D₄⋊₂(C₇×Q₈) = C₇×D₄⋊₂Q₈	φ: C₇×Q₈/C₂₈ → C₂ ⊆ Out D₄	224	D4:2(C7xQ8)	448,884
D₄⋊₃(C₇×Q₈) = C₇×D₄⋊₃Q₈	φ: trivial image	224	D4:3(C7xQ8)	448,1337

Non-split extensions G=N.Q with N=D₄ and Q=C₇×Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.(C₇×Q₈) = C₇×D₄.Q₈	φ: C₇×Q₈/C₂₈ → C₂ ⊆ Out D₄	224		D4.(C7xQ8)	448,886

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Extensions 1→N→G→Q→1 with N=D4 and Q=C7×Q8