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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₈×D₇)⋊₁C₄ = D₇×C₂.D₈	φ: C₄/C₂ → C₂ ⊆ Out C₈×D₇	224		(C8xD7):1C4	448,413
(C₈×D₇)⋊₂C₄ = C₈.₂₇(C₄×D₇)	φ: C₄/C₂ → C₂ ⊆ Out C₈×D₇	224		(C8xD7):2C4	448,414
(C₈×D₇)⋊₃C₄ = D₇×C₄.Q₈	φ: C₄/C₂ → C₂ ⊆ Out C₈×D₇	224		(C8xD7):3C4	448,393
(C₈×D₇)⋊₄C₄ = (C₈×D₇)⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₈×D₇	224		(C8xD7):4C4	448,394
(C₈×D₇)⋊₅C₄ = D₁₄.C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₈×D₇	224		(C8xD7):5C4	448,223
(C₈×D₇)⋊₆C₄ = D₇×C₈⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₈×D₇	224		(C8xD7):6C4	448,238
(C₈×D₇)⋊₇C₄ = D₁₄.₄C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₈×D₇	224		(C8xD7):7C4	448,242

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₈×D₇).₁C₄ = D₇×C₈.C₄	φ: C₄/C₂ → C₂ ⊆ Out C₈×D₇	112	4	(C8xD7).1C4	448,426
(C₈×D₇).₂C₄ = C₃₂⋊D₇	φ: C₄/C₂ → C₂ ⊆ Out C₈×D₇	224	2	(C8xD7).2C4	448,4
(C₈×D₇).₃C₄ = C₂×C₁₆⋊D₇	φ: C₄/C₂ → C₂ ⊆ Out C₈×D₇	224		(C8xD7).3C4	448,434
(C₈×D₇).₄C₄ = D₇×M₅(2)	φ: C₄/C₂ → C₂ ⊆ Out C₈×D₇	112	4	(C8xD7).4C4	448,440
(C₈×D₇).₅C₄ = D₇×C₃₂	φ: trivial image	224	2	(C8xD7).5C4	448,3
(C₈×D₇).₆C₄ = D₇×C₂×C₁₆	φ: trivial image	224		(C8xD7).6C4	448,433

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