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
C₇×C₄⋊M₄(2)		224		C7xC4:M4(2)	448,831

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)) = C₂₈⋊M₄(2)	φ: C₄⋊M₄(2)/C₄⋊C₈ → C₂ ⊆ Aut C₇	224		C7:1(C4:M4(2))	448,371
C₇⋊₂(C₄⋊M₄(2)) = C₂₈⋊₇M₄(2)	φ: C₄⋊M₄(2)/C₂×C₄² → C₂ ⊆ Aut C₇	224		C7:2(C4:M4(2))	448,458
C₇⋊₃(C₄⋊M₄(2)) = Dic₇⋊₄M₄(2)	φ: C₄⋊M₄(2)/C₂×M₄(2) → C₂ ⊆ Aut C₇	224		C7:3(C4:M4(2))	448,652

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