Extensions 1→N→G→Q→1 with N=C₄×D₇ and Q=C₈

Direct product G=N×Q with N=C₄×D₇ and Q=C₈

		d	ρ	Label	ID
D₇×C₄×C₈		224		D7xC4xC8	448,218

Semidirect products G=N:Q with N=C₄×D₇ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₇)⋊₁C₈ = D₇×C₄⋊C₈	φ: C₈/C₄ → C₂ ⊆ Out C₄×D₇	224		(C4xD7):1C8	448,366
(C₄×D₇)⋊₂C₈ = C₄².₂₀₀D₁₄	φ: C₈/C₄ → C₂ ⊆ Out C₄×D₇	224		(C4xD7):2C8	448,367
(C₄×D₇)⋊₃C₈ = C₄².₂₈₂D₁₄	φ: C₈/C₄ → C₂ ⊆ Out C₄×D₇	224		(C4xD7):3C8	448,219

Non-split extensions G=N.Q with N=C₄×D₇ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₇).₁C₈ = D₇×M₅(2)	φ: C₈/C₄ → C₂ ⊆ Out C₄×D₇	112	4	(C4xD7).1C8	448,440
(C₄×D₇).₂C₈ = C₃₂⋊D₇	φ: C₈/C₄ → C₂ ⊆ Out C₄×D₇	224	2	(C4xD7).2C8	448,4
(C₄×D₇).₃C₈ = C₂×C₁₆⋊D₇	φ: C₈/C₄ → C₂ ⊆ Out C₄×D₇	224		(C4xD7).3C8	448,434
(C₄×D₇).₄C₈ = D₇×C₃₂	φ: trivial image	224	2	(C4xD7).4C8	448,3
(C₄×D₇).₅C₈ = D₇×C₂×C₁₆	φ: trivial image	224		(C4xD7).5C8	448,433

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