Extensions 1→N→G→Q→1 with N=D₁₄ and Q=C₂×C₈

Direct product G=N×Q with N=D₁₄ and Q=C₂×C₈

		d	ρ	Label	ID
D₇×C₂²×C₈		224		D7xC2^2xC8	448,1189

Semidirect products G=N:Q with N=D₁₄ and Q=C₂×C₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₄⋊₁(C₂×C₈) = C₈×D₂₈	φ: C₂×C₈/C₈ → C₂ ⊆ Out D₁₄	224		D14:1(C2xC8)	448,220
D₁₄⋊₂(C₂×C₈) = C₇⋊D₄⋊C₈	φ: C₂×C₈/C₈ → C₂ ⊆ Out D₁₄	224		D14:2(C2xC8)	448,259
D₁₄⋊₃(C₂×C₈) = D₂₈⋊C₈	φ: C₂×C₈/C₈ → C₂ ⊆ Out D₁₄	224		D14:3(C2xC8)	448,368
D₁₄⋊₄(C₂×C₈) = C₈×C₇⋊D₄	φ: C₂×C₈/C₈ → C₂ ⊆ Out D₁₄	224		D14:4(C2xC8)	448,643
D₁₄⋊₅(C₂×C₈) = D₇×C₂²⋊C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Out D₁₄	112		D14:5(C2xC8)	448,258
D₁₄⋊₆(C₂×C₈) = C₂×D₁₄⋊C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Out D₁₄	224		D14:6(C2xC8)	448,642

Non-split extensions G=N.Q with N=D₁₄ and Q=C₂×C₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₄.₁(C₂×C₈) = D₂₈.₄C₈	φ: C₂×C₈/C₈ → C₂ ⊆ Out D₁₄	224	2	D14.1(C2xC8)	448,435
D₁₄.₂(C₂×C₈) = C₁₆.₁₂D₁₄	φ: C₂×C₈/C₈ → C₂ ⊆ Out D₁₄	224	4	D14.2(C2xC8)	448,441
D₁₄.₃(C₂×C₈) = C₄².₂₈₂D₁₄	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Out D₁₄	224		D14.3(C2xC8)	448,219
D₁₄.₄(C₂×C₈) = C₄².₂₀₀D₁₄	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Out D₁₄	224		D14.4(C2xC8)	448,367
D₁₄.₅(C₂×C₈) = C₂×C₁₆⋊D₇	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Out D₁₄	224		D14.5(C2xC8)	448,434
D₁₄.₆(C₂×C₈) = D₇×M₅(2)	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Out D₁₄	112	4	D14.6(C2xC8)	448,440
D₁₄.₇(C₂×C₈) = D₇×C₄×C₈	φ: trivial image	224		D14.7(C2xC8)	448,218
D₁₄.₈(C₂×C₈) = D₇×C₄⋊C₈	φ: trivial image	224		D14.8(C2xC8)	448,366
D₁₄.₉(C₂×C₈) = D₇×C₂×C₁₆	φ: trivial image	224		D14.9(C2xC8)	448,433

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