Extensions 1→N→G→Q→1 with N=C₇ and Q=C₂×M₄(2)

Direct product G=N×Q with N=C₇ and Q=C₂×M₄(2)

		d	ρ	Label	ID
C₁₄×M₄(2)		112		C14xM4(2)	224,165

Semidirect products G=N:Q with N=C₇ and Q=C₂×M₄(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₂×M₄(2)) = C₂×C₈⋊D₇	φ: C₂×M₄(2)/C₂×C₈ → C₂ ⊆ Aut C₇	112		C7:1(C2xM4(2))	224,95
C₇⋊₂(C₂×M₄(2)) = D₇×M₄(2)	φ: C₂×M₄(2)/M₄(2) → C₂ ⊆ Aut C₇	56	4	C7:2(C2xM4(2))	224,101
C₇⋊₃(C₂×M₄(2)) = C₂×C₄.Dic₇	φ: C₂×M₄(2)/C₂²×C₄ → C₂ ⊆ Aut C₇	112		C7:3(C2xM4(2))	224,116

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