Extensions 1→N→G→Q→1 with N=Q₈ and Q=C₂×C₂₈

Direct product G=N×Q with N=Q₈ and Q=C₂×C₂₈

		d	ρ	Label	ID
Q₈×C₂×C₂₈		448		Q8xC2xC28	448,1299

Semidirect products G=N:Q with N=Q₈ and Q=C₂×C₂₈

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊₁(C₂×C₂₈) = SD₁₆×C₂₈	φ: C₂×C₂₈/C₂₈ → C₂ ⊆ Out Q₈	224		Q8:1(C2xC28)	448,846
Q₈⋊₂(C₂×C₂₈) = C₇×SD₁₆⋊C₄	φ: C₂×C₂₈/C₂₈ → C₂ ⊆ Out Q₈	224		Q8:2(C2xC28)	448,848
Q₈⋊₃(C₂×C₂₈) = C₁₄×Q₈⋊C₄	φ: C₂×C₂₈/C₂×C₁₄ → C₂ ⊆ Out Q₈	448		Q8:3(C2xC28)	448,823
Q₈⋊₄(C₂×C₂₈) = C₇×C₂³.₃₆D₄	φ: C₂×C₂₈/C₂×C₁₄ → C₂ ⊆ Out Q₈	224		Q8:4(C2xC28)	448,825
Q₈⋊₅(C₂×C₂₈) = C₁₄×C₄≀C₂	φ: C₂×C₂₈/C₂×C₁₄ → C₂ ⊆ Out Q₈	112		Q8:5(C2xC28)	448,828
Q₈⋊₆(C₂×C₂₈) = C₄○D₄×C₂₈	φ: trivial image	224		Q8:6(C2xC28)	448,1300
Q₈⋊₇(C₂×C₂₈) = C₇×C₂³.₃₃C₂³	φ: trivial image	224		Q8:7(C2xC28)	448,1303

Non-split extensions G=N.Q with N=Q₈ and Q=C₂×C₂₈

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.₁(C₂×C₂₈) = Q₁₆×C₂₈	φ: C₂×C₂₈/C₂₈ → C₂ ⊆ Out Q₈	448		Q8.1(C2xC28)	448,847
Q₈.₂(C₂×C₂₈) = C₇×Q₁₆⋊C₄	φ: C₂×C₂₈/C₂₈ → C₂ ⊆ Out Q₈	448		Q8.2(C2xC28)	448,849
Q₈.₃(C₂×C₂₈) = C₇×C₈○D₈	φ: C₂×C₂₈/C₂₈ → C₂ ⊆ Out Q₈	112	2	Q8.3(C2xC28)	448,851
Q₈.₄(C₂×C₂₈) = C₇×C₈.₂₆D₄	φ: C₂×C₂₈/C₂₈ → C₂ ⊆ Out Q₈	112	4	Q8.4(C2xC28)	448,852
Q₈.₅(C₂×C₂₈) = C₇×C₂³.₂₄D₄	φ: C₂×C₂₈/C₂×C₁₄ → C₂ ⊆ Out Q₈	224		Q8.5(C2xC28)	448,824
Q₈.₆(C₂×C₂₈) = C₇×C₂³.₃₈D₄	φ: C₂×C₂₈/C₂×C₁₄ → C₂ ⊆ Out Q₈	224		Q8.6(C2xC28)	448,827
Q₈.₇(C₂×C₂₈) = C₇×C₄²⋊C₂²	φ: C₂×C₂₈/C₂×C₁₄ → C₂ ⊆ Out Q₈	112	4	Q8.7(C2xC28)	448,829
Q₈.₈(C₂×C₂₈) = C₇×C₂³.₃₂C₂³	φ: trivial image	224		Q8.8(C2xC28)	448,1302
Q₈.₉(C₂×C₂₈) = C₁₄×C₈○D₄	φ: trivial image	224		Q8.9(C2xC28)	448,1350
Q₈.₁₀(C₂×C₂₈) = C₇×Q₈○M₄(2)	φ: trivial image	112	4	Q8.10(C2xC28)	448,1351

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