Extensions 1→N→G→Q→1 with N=C₇ and Q=C₂²×M₄(2)

Direct product G=N×Q with N=C₇ and Q=C₂²×M₄(2)

		d	ρ	Label	ID
M₄(2)×C₂×C₁₄		224		M4(2)xC2xC14	448,1349

Semidirect products G=N:Q with N=C₇ and Q=C₂²×M₄(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₂²×M₄(2)) = C₂²×C₈⋊D₇	φ: C₂²×M₄(2)/C₂²×C₈ → C₂ ⊆ Aut C₇	224		C7:1(C2^2xM4(2))	448,1190
C₇⋊₂(C₂²×M₄(2)) = C₂×D₇×M₄(2)	φ: C₂²×M₄(2)/C₂×M₄(2) → C₂ ⊆ Aut C₇	112		C7:2(C2^2xM4(2))	448,1196
C₇⋊₃(C₂²×M₄(2)) = C₂²×C₄.Dic₇	φ: C₂²×M₄(2)/C₂³×C₄ → C₂ ⊆ Aut C₇	224		C7:3(C2^2xM4(2))	448,1234

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