Extensions 1→N→G→Q→1 with N=C₇ and Q=C₄○D₈

Direct product G=N×Q with N=C₇ and Q=C₄○D₈

		d	ρ	Label	ID
C₇×C₄○D₈		112	2	C7xC4oD8	224,170

Semidirect products G=N:Q with N=C₇ and Q=C₄○D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₄○D₈) = D₅₆⋊₇C₂	φ: C₄○D₈/C₂×C₈ → C₂ ⊆ Aut C₇	112	2	C7:1(C4oD8)	224,99
C₇⋊₂(C₄○D₈) = D₈⋊₃D₇	φ: C₄○D₈/D₈ → C₂ ⊆ Aut C₇	112	4-	C7:2(C4oD8)	224,107
C₇⋊₃(C₄○D₈) = SD₁₆⋊₃D₇	φ: C₄○D₈/SD₁₆ → C₂ ⊆ Aut C₇	112	4	C7:3(C4oD8)	224,111
C₇⋊₄(C₄○D₈) = Q₈.D₁₄	φ: C₄○D₈/Q₁₆ → C₂ ⊆ Aut C₇	112	4+	C7:4(C4oD8)	224,114
C₇⋊₅(C₄○D₈) = D₄.₈D₁₄	φ: C₄○D₈/C₄○D₄ → C₂ ⊆ Aut C₇	112	4	C7:5(C4oD8)	224,145

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