Extensions 1→N→G→Q→1 with N=Q₈xD₇ and Q=C₄

Direct product G=NxQ with N=Q₈xD₇ and Q=C₄

		d	ρ	Label	ID
C₄xQ₈xD₇		224		C4xQ8xD7	448,1024

Semidirect products G=N:Q with N=Q₈xD₇ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈xD₇):₁C₄ = D₇xQ₈:C₄	φ: C₄/C₂ → C₂ ⊆ Out Q₈xD₇	224		(Q8xD7):1C4	448,335
(Q₈xD₇):₂C₄ = (Q₈xD₇):C₄	φ: C₄/C₂ → C₂ ⊆ Out Q₈xD₇	224		(Q8xD7):2C4	448,336
(Q₈xD₇):₃C₄ = D₇xC₄wrC₂	φ: C₄/C₂ → C₂ ⊆ Out Q₈xD₇	56	4	(Q8xD7):3C4	448,354
(Q₈xD₇):₄C₄ = C₄²:D₁₄	φ: C₄/C₂ → C₂ ⊆ Out Q₈xD₇	112	4	(Q8xD7):4C4	448,355
(Q₈xD₇):₅C₄ = C₄².₁₂₅D₁₄	φ: C₄/C₂ → C₂ ⊆ Out Q₈xD₇	224		(Q8xD7):5C4	448,1025

Non-split extensions G=N.Q with N=Q₈xD₇ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈xD₇).C₄ = C₅₆.₄₉C₂³	φ: C₄/C₂ → C₂ ⊆ Out Q₈xD₇	112	4	(Q8xD7).C4	448,1203
(Q₈xD₇).₂C₄ = D₇xC₈oD₄	φ: trivial image	112	4	(Q8xD7).2C4	448,1202

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