Extensions 1→N→G→Q→1 with N=Q₈:₂D₇ and Q=C₄

Direct product G=NxQ with N=Q₈:₂D₇ and Q=C₄

		d	ρ	Label	ID
C₄xQ₈:₂D₇		224		C4xQ8:2D7	448,1026

Semidirect products G=N:Q with N=Q₈:₂D₇ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈:₂D₇:₁C₄ = Q₈:(C₄xD₇)	φ: C₄/C₂ → C₂ ⊆ Out Q₈:₂D₇	224		Q8:2D7:1C4	448,337
Q₈:₂D₇:₂C₄ = Q₈:₂D₇:C₄	φ: C₄/C₂ → C₂ ⊆ Out Q₈:₂D₇	224		Q8:2D7:2C4	448,338
Q₈:₂D₇:₃C₄ = D₇xC₄wrC₂	φ: C₄/C₂ → C₂ ⊆ Out Q₈:₂D₇	56	4	Q8:2D7:3C4	448,354
Q₈:₂D₇:₄C₄ = C₄²:D₁₄	φ: C₄/C₂ → C₂ ⊆ Out Q₈:₂D₇	112	4	Q8:2D7:4C4	448,355
Q₈:₂D₇:₅C₄ = C₄².₁₂₆D₁₄	φ: C₄/C₂ → C₂ ⊆ Out Q₈:₂D₇	224		Q8:2D7:5C4	448,1027

Non-split extensions G=N.Q with N=Q₈:₂D₇ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈:₂D₇.C₄ = C₅₆.₄₉C₂³	φ: C₄/C₂ → C₂ ⊆ Out Q₈:₂D₇	112	4	Q8:2D7.C4	448,1203
Q₈:₂D₇.₂C₄ = D₇xC₈oD₄	φ: trivial image	112	4	Q8:2D7.2C4	448,1202

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