Extensions 1→N→G→Q→1 with N=C₇ and Q=C₄×M₄(2)

Direct product G=N×Q with N=C₇ and Q=C₄×M₄(2)

		d	ρ	Label	ID
M₄(2)×C₂₈		224		M4(2)xC28	448,812

Semidirect products G=N:Q with N=C₇ and Q=C₄×M₄(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₄×M₄(2)) = C₄×C₈⋊D₇	φ: C₄×M₄(2)/C₄×C₈ → C₂ ⊆ Aut C₇	224		C7:1(C4xM4(2))	448,221
C₇⋊₂(C₄×M₄(2)) = Dic₇.C₄²	φ: C₄×M₄(2)/C₈⋊C₄ → C₂ ⊆ Aut C₇	224		C7:2(C4xM4(2))	448,241
C₇⋊₃(C₄×M₄(2)) = C₄×C₄.Dic₇	φ: C₄×M₄(2)/C₂×C₄² → C₂ ⊆ Aut C₇	224		C7:3(C4xM4(2))	448,456
C₇⋊₄(C₄×M₄(2)) = M₄(2)×Dic₇	φ: C₄×M₄(2)/C₂×M₄(2) → C₂ ⊆ Aut C₇	224		C7:4(C4xM4(2))	448,651

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