Extensions 1→N→G→Q→1 with N=C₇ and Q=C₂×M₅(2)

Direct product G=N×Q with N=C₇ and Q=C₂×M₅(2)

		d	ρ	Label	ID
C₁₄×M₅(2)		224		C14xM5(2)	448,911

Semidirect products G=N:Q with N=C₇ and Q=C₂×M₅(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₂×M₅(2)) = C₂×C₁₆⋊D₇	φ: C₂×M₅(2)/C₂×C₁₆ → C₂ ⊆ Aut C₇	224		C7:1(C2xM5(2))	448,434
C₇⋊₂(C₂×M₅(2)) = D₇×M₅(2)	φ: C₂×M₅(2)/M₅(2) → C₂ ⊆ Aut C₇	112	4	C7:2(C2xM5(2))	448,440
C₇⋊₃(C₂×M₅(2)) = C₂×C₂₈.C₈	φ: C₂×M₅(2)/C₂²×C₈ → C₂ ⊆ Aut C₇	224		C7:3(C2xM5(2))	448,631

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