Extensions 1→N→G→Q→1 with N=C₇ and Q=C₂×C₈.C₄

Direct product G=N×Q with N=C₇ and Q=C₂×C₈.C₄

		d	ρ	Label	ID
C₁₄×C₈.C₄		224		C14xC8.C4	448,837

Semidirect products G=N:Q with N=C₇ and Q=C₂×C₈.C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₂×C₈.C₄) = D₇×C₈.C₄	φ: C₂×C₈.C₄/C₈.C₄ → C₂ ⊆ Aut C₇	112	4	C7:1(C2xC8.C4)	448,426
C₇⋊₂(C₂×C₈.C₄) = C₂×C₅₆.C₄	φ: C₂×C₈.C₄/C₂²×C₈ → C₂ ⊆ Aut C₇	224		C7:2(C2xC8.C4)	448,641
C₇⋊₃(C₂×C₈.C₄) = C₂×C₂₈.₅₃D₄	φ: C₂×C₈.C₄/C₂×M₄(2) → C₂ ⊆ Aut C₇	224		C7:3(C2xC8.C4)	448,657

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