Extensions 1→N→G→Q→1 with N=C₇ and Q=C₂×C₄○D₈

Direct product G=N×Q with N=C₇ and Q=C₂×C₄○D₈

		d	ρ	Label	ID
C₁₄×C₄○D₈		224		C14xC4oD8	448,1355

Semidirect products G=N:Q with N=C₇ and Q=C₂×C₄○D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₂×C₄○D₈) = C₂×D₅₆⋊₇C₂	φ: C₂×C₄○D₈/C₂²×C₈ → C₂ ⊆ Aut C₇	224		C7:1(C2xC4oD8)	448,1194
C₇⋊₂(C₂×C₄○D₈) = C₂×D₈⋊₃D₇	φ: C₂×C₄○D₈/C₂×D₈ → C₂ ⊆ Aut C₇	224		C7:2(C2xC4oD8)	448,1209
C₇⋊₃(C₂×C₄○D₈) = C₂×SD₁₆⋊₃D₇	φ: C₂×C₄○D₈/C₂×SD₁₆ → C₂ ⊆ Aut C₇	224		C7:3(C2xC4oD8)	448,1214
C₇⋊₄(C₂×C₄○D₈) = C₂×Q₈.D₁₄	φ: C₂×C₄○D₈/C₂×Q₁₆ → C₂ ⊆ Aut C₇	224		C7:4(C2xC4oD8)	448,1218
C₇⋊₅(C₂×C₄○D₈) = D₇×C₄○D₈	φ: C₂×C₄○D₈/C₄○D₈ → C₂ ⊆ Aut C₇	112	4	C7:5(C2xC4oD8)	448,1220
C₇⋊₆(C₂×C₄○D₈) = C₂×D₄.₈D₁₄	φ: C₂×C₄○D₈/C₂×C₄○D₄ → C₂ ⊆ Aut C₇	224		C7:6(C2xC4oD8)	448,1274

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