Extensions 1→N→G→Q→1 with N=D₈ and Q=C₂×C₁₄

Direct product G=N×Q with N=D₈ and Q=C₂×C₁₄

		d	ρ	Label	ID
D₈×C₂×C₁₄		224		D8xC2xC14	448,1352

Semidirect products G=N:Q with N=D₈ and Q=C₂×C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₈⋊₁(C₂×C₁₄) = C₁₄×D₁₆	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Out D₈	224		D8:1(C2xC14)	448,913
D₈⋊₂(C₂×C₁₄) = C₇×C₁₆⋊C₂²	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Out D₈	112	4	D8:2(C2xC14)	448,917
D₈⋊₃(C₂×C₁₄) = C₁₄×C₈⋊C₂²	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Out D₈	112		D8:3(C2xC14)	448,1356
D₈⋊₄(C₂×C₁₄) = C₇×D₈⋊C₂²	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Out D₈	112	4	D8:4(C2xC14)	448,1358
D₈⋊₅(C₂×C₁₄) = C₇×D₄○SD₁₆	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Out D₈	112	4	D8:5(C2xC14)	448,1360
D₈⋊₆(C₂×C₁₄) = C₁₄×C₄○D₈	φ: trivial image	224		D8:6(C2xC14)	448,1355
D₈⋊₇(C₂×C₁₄) = C₇×D₄○D₈	φ: trivial image	112	4	D8:7(C2xC14)	448,1359

Non-split extensions G=N.Q with N=D₈ and Q=C₂×C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₈.₁(C₂×C₁₄) = C₁₄×SD₃₂	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Out D₈	224		D8.1(C2xC14)	448,914
D₈.₂(C₂×C₁₄) = C₇×C₄○D₁₆	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Out D₈	224	2	D8.2(C2xC14)	448,916
D₈.₃(C₂×C₁₄) = C₇×Q₃₂⋊C₂	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Out D₈	224	4	D8.3(C2xC14)	448,918
D₈.₄(C₂×C₁₄) = C₇×Q₈○D₈	φ: trivial image	224	4	D8.4(C2xC14)	448,1361

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