Extensions 1→N→G→Q→1 with N=D₇xC₂⁴ and Q=C₂

Direct product G=NxQ with N=D₇xC₂⁴ and Q=C₂

		d	ρ	Label	ID
D₇xC₂⁵		224		D7xC2^5	448,1395

Semidirect products G=N:Q with N=D₇xC₂⁴ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₇xC₂⁴):₁C₂ = C₂xC₂²:D₂₈	φ: C₂/C₁ → C₂ ⊆ Out D₇xC₂⁴	112		(D7xC2^4):1C2	448,940
(D₇xC₂⁴):₂C₂ = D₇xC₂²wrC₂	φ: C₂/C₁ → C₂ ⊆ Out D₇xC₂⁴	56		(D7xC2^4):2C2	448,1041
(D₇xC₂⁴):₃C₂ = C₂xC₂³:D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₇xC₂⁴	112		(D7xC2^4):3C2	448,1252
(D₇xC₂⁴):₄C₂ = C₂³xD₂₈	φ: C₂/C₁ → C₂ ⊆ Out D₇xC₂⁴	224		(D7xC2^4):4C2	448,1367
(D₇xC₂⁴):₅C₂ = C₂²xD₄xD₇	φ: C₂/C₁ → C₂ ⊆ Out D₇xC₂⁴	112		(D7xC2^4):5C2	448,1369
(D₇xC₂⁴):₆C₂ = C₂³xC₇:D₄	φ: C₂/C₁ → C₂ ⊆ Out D₇xC₂⁴	224		(D7xC2^4):6C2	448,1384

Non-split extensions G=N.Q with N=D₇xC₂⁴ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₇xC₂⁴).₁C₂ = C₂³.₄₄D₂₈	φ: C₂/C₁ → C₂ ⊆ Out D₇xC₂⁴	112		(D7xC2^4).1C2	448,489
(D₇xC₂⁴).₂C₂ = C₂xD₇xC₂²:C₄	φ: C₂/C₁ → C₂ ⊆ Out D₇xC₂⁴	112		(D7xC2^4).2C2	448,937
(D₇xC₂⁴).₃C₂ = C₂²xD₁₄:C₄	φ: C₂/C₁ → C₂ ⊆ Out D₇xC₂⁴	224		(D7xC2^4).3C2	448,1240
(D₇xC₂⁴).₄C₂ = D₇xC₂³xC₄	φ: trivial image	224		(D7xC2^4).4C2	448,1366

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