Extensions 1→N→G→Q→1 with N=Q₈ and Q=C₄×D₇

Direct product G=N×Q with N=Q₈ and Q=C₄×D₇

		d	ρ	Label	ID
C₄×Q₈×D₇		224		C4xQ8xD7	448,1024

Semidirect products G=N:Q with N=Q₈ and Q=C₄×D₇

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊₁(C₄×D₇) = Dic₇⋊₇SD₁₆	φ: C₄×D₇/Dic₇ → C₂ ⊆ Out Q₈	224		Q8:1(C4xD7)	448,322
Q₈⋊₂(C₄×D₇) = Q₈⋊D₇⋊C₄	φ: C₄×D₇/Dic₇ → C₂ ⊆ Out Q₈	224		Q8:2(C4xD7)	448,351
Q₈⋊₃(C₄×D₇) = C₄×Q₈⋊D₇	φ: C₄×D₇/C₂₈ → C₂ ⊆ Out Q₈	224		Q8:3(C4xD7)	448,559
Q₈⋊₄(C₄×D₇) = C₄².₅₆D₁₄	φ: C₄×D₇/C₂₈ → C₂ ⊆ Out Q₈	224		Q8:4(C4xD7)	448,560
Q₈⋊₅(C₄×D₇) = D₇×Q₈⋊C₄	φ: C₄×D₇/D₁₄ → C₂ ⊆ Out Q₈	224		Q8:5(C4xD7)	448,335
Q₈⋊₆(C₄×D₇) = Q₈⋊(C₄×D₇)	φ: C₄×D₇/D₁₄ → C₂ ⊆ Out Q₈	224		Q8:6(C4xD7)	448,337
Q₈⋊₇(C₄×D₇) = D₇×C₄≀C₂	φ: C₄×D₇/D₁₄ → C₂ ⊆ Out Q₈	56	4	Q8:7(C4xD7)	448,354
Q₈⋊₈(C₄×D₇) = C₄×Q₈⋊₂D₇	φ: trivial image	224		Q8:8(C4xD7)	448,1026
Q₈⋊₉(C₄×D₇) = C₄².₁₂₆D₁₄	φ: trivial image	224		Q8:9(C4xD7)	448,1027

Non-split extensions G=N.Q with N=Q₈ and Q=C₄×D₇

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.₁(C₄×D₇) = C₇⋊Q₁₆⋊C₄	φ: C₄×D₇/Dic₇ → C₂ ⊆ Out Q₈	448		Q8.1(C4xD7)	448,323
Q₈.₂(C₄×D₇) = Dic₇⋊₄Q₁₆	φ: C₄×D₇/Dic₇ → C₂ ⊆ Out Q₈	448		Q8.2(C4xD7)	448,324
Q₈.₃(C₄×D₇) = M₄(2).₂₂D₁₄	φ: C₄×D₇/Dic₇ → C₂ ⊆ Out Q₈	112	4	Q8.3(C4xD7)	448,357
Q₈.₄(C₄×D₇) = C₄².₁₉₆D₁₄	φ: C₄×D₇/Dic₇ → C₂ ⊆ Out Q₈	112	4	Q8.4(C4xD7)	448,358
Q₈.₅(C₄×D₇) = C₄×C₇⋊Q₁₆	φ: C₄×D₇/C₂₈ → C₂ ⊆ Out Q₈	448		Q8.5(C4xD7)	448,563
Q₈.₆(C₄×D₇) = C₄².₅₉D₁₄	φ: C₄×D₇/C₂₈ → C₂ ⊆ Out Q₈	448		Q8.6(C4xD7)	448,564
Q₈.₇(C₄×D₇) = C₅₆.₉₃D₄	φ: C₄×D₇/C₂₈ → C₂ ⊆ Out Q₈	112	4	Q8.7(C4xD7)	448,678
Q₈.₈(C₄×D₇) = C₅₆.₅₀D₄	φ: C₄×D₇/C₂₈ → C₂ ⊆ Out Q₈	112	4	Q8.8(C4xD7)	448,679
Q₈.₉(C₄×D₇) = (Q₈×D₇)⋊C₄	φ: C₄×D₇/D₁₄ → C₂ ⊆ Out Q₈	224		Q8.9(C4xD7)	448,336
Q₈.₁₀(C₄×D₇) = Q₈⋊₂D₇⋊C₄	φ: C₄×D₇/D₁₄ → C₂ ⊆ Out Q₈	224		Q8.10(C4xD7)	448,338
Q₈.₁₁(C₄×D₇) = C₄²⋊D₁₄	φ: C₄×D₇/D₁₄ → C₂ ⊆ Out Q₈	112	4	Q8.11(C4xD7)	448,355
Q₈.₁₂(C₄×D₇) = C₄².₁₂₅D₁₄	φ: trivial image	224		Q8.12(C4xD7)	448,1025
Q₈.₁₃(C₄×D₇) = D₇×C₈○D₄	φ: trivial image	112	4	Q8.13(C4xD7)	448,1202
Q₈.₁₄(C₄×D₇) = C₅₆.₄₉C₂³	φ: trivial image	112	4	Q8.14(C4xD7)	448,1203

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