Extensions 1→N→G→Q→1 with N=Q₈×D₇ and Q=C₄

Direct product G=N×Q with N=Q₈×D₇ and Q=C₄

		d	ρ	Label	ID
C₄×Q₈×D₇		224		C4xQ8xD7	448,1024

Semidirect products G=N:Q with N=Q₈×D₇ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×D₇)⋊₁C₄ = D₇×Q₈⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out Q₈×D₇	224		(Q8xD7):1C4	448,335
(Q₈×D₇)⋊₂C₄ = (Q₈×D₇)⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out Q₈×D₇	224		(Q8xD7):2C4	448,336
(Q₈×D₇)⋊₃C₄ = D₇×C₄≀C₂	φ: C₄/C₂ → C₂ ⊆ Out Q₈×D₇	56	4	(Q8xD7):3C4	448,354
(Q₈×D₇)⋊₄C₄ = C₄²⋊D₁₄	φ: C₄/C₂ → C₂ ⊆ Out Q₈×D₇	112	4	(Q8xD7):4C4	448,355
(Q₈×D₇)⋊₅C₄ = C₄².₁₂₅D₁₄	φ: C₄/C₂ → C₂ ⊆ Out Q₈×D₇	224		(Q8xD7):5C4	448,1025

Non-split extensions G=N.Q with N=Q₈×D₇ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×D₇).C₄ = C₅₆.₄₉C₂³	φ: C₄/C₂ → C₂ ⊆ Out Q₈×D₇	112	4	(Q8xD7).C4	448,1203
(Q₈×D₇).₂C₄ = D₇×C₈○D₄	φ: trivial image	112	4	(Q8xD7).2C4	448,1202

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