Extensions 1→N→G→Q→1 with N=D₇×C₂⁴ and Q=C₂

Direct product G=N×Q with N=D₇×C₂⁴ and Q=C₂

		d	ρ	Label	ID
D₇×C₂⁵		224		D7xC2^5	448,1395

Semidirect products G=N:Q with N=D₇×C₂⁴ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₇×C₂⁴)⋊₁C₂ = C₂×C₂²⋊D₂₈	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂⁴	112		(D7xC2^4):1C2	448,940
(D₇×C₂⁴)⋊₂C₂ = D₇×C₂²≀C₂	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂⁴	56		(D7xC2^4):2C2	448,1041
(D₇×C₂⁴)⋊₃C₂ = C₂×C₂³⋊D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂⁴	112		(D7xC2^4):3C2	448,1252
(D₇×C₂⁴)⋊₄C₂ = C₂³×D₂₈	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂⁴	224		(D7xC2^4):4C2	448,1367
(D₇×C₂⁴)⋊₅C₂ = C₂²×D₄×D₇	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂⁴	112		(D7xC2^4):5C2	448,1369
(D₇×C₂⁴)⋊₆C₂ = C₂³×C₇⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂⁴	224		(D7xC2^4):6C2	448,1384

Non-split extensions G=N.Q with N=D₇×C₂⁴ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₇×C₂⁴).₁C₂ = C₂³.₄₄D₂₈	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂⁴	112		(D7xC2^4).1C2	448,489
(D₇×C₂⁴).₂C₂ = C₂×D₇×C₂²⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂⁴	112		(D7xC2^4).2C2	448,937
(D₇×C₂⁴).₃C₂ = C₂²×D₁₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂⁴	224		(D7xC2^4).3C2	448,1240
(D₇×C₂⁴).₄C₂ = D₇×C₂³×C₄	φ: trivial image	224		(D7xC2^4).4C2	448,1366

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