Extensions 1→N→G→Q→1 with N=C₇xQ₈ and Q=C₈

Direct product G=NxQ with N=C₇xQ₈ and Q=C₈

		d	ρ	Label	ID
Q₈xC₅₆		448		Q8xC56	448,853

Semidirect products G=N:Q with N=C₇xQ₈ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇xQ₈):₁C₈ = C₂₈.₂₆Q₁₆	φ: C₈/C₄ → C₂ ⊆ Out C₇xQ₈	448		(C7xQ8):1C8	448,92
(C₇xQ₈):₂C₈ = Q₈xC₇:C₈	φ: C₈/C₄ → C₂ ⊆ Out C₇xQ₈	448		(C7xQ8):2C8	448,557
(C₇xQ₈):₃C₈ = C₇xQ₈:C₈	φ: C₈/C₄ → C₂ ⊆ Out C₇xQ₈	448		(C7xQ8):3C8	448,130

Non-split extensions G=N.Q with N=C₇xQ₈ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇xQ₈).₁C₈ = C₅₆.₉₂D₄	φ: C₈/C₄ → C₂ ⊆ Out C₇xQ₈	224	4	(C7xQ8).1C8	448,118
(C₇xQ₈).₂C₈ = C₅₆.₇₀C₂³	φ: C₈/C₄ → C₂ ⊆ Out C₇xQ₈	224	4	(C7xQ8).2C8	448,674
(C₇xQ₈).₃C₈ = C₇xD₄.C₈	φ: C₈/C₄ → C₂ ⊆ Out C₇xQ₈	224	2	(C7xQ8).3C8	448,154
(C₇xQ₈).₄C₈ = C₇xD₄oC₁₆	φ: trivial image	224	2	(C7xQ8).4C8	448,912

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