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

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

		d	ρ	Label	ID
C₇×M₄(2)⋊C₄		224		C7xM4(2):C4	448,836

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(M₄(2)⋊C₄) = C₈⋊(C₄×D₇)	φ: M₄(2)⋊C₄/C₄.Q₈ → C₂ ⊆ Aut C₇	224		C7:1(M4(2):C4)	448,395
C₇⋊₂(M₄(2)⋊C₄) = C₅₆⋊(C₂×C₄)	φ: M₄(2)⋊C₄/C₂.D₈ → C₂ ⊆ Aut C₇	224		C7:2(M4(2):C4)	448,415
C₇⋊₃(M₄(2)⋊C₄) = C₄.Dic₇⋊C₄	φ: M₄(2)⋊C₄/C₂×C₄⋊C₄ → C₂ ⊆ Aut C₇	224		C7:3(M4(2):C4)	448,498
C₇⋊₄(M₄(2)⋊C₄) = C₂₈.(C₂×Q₈)	φ: M₄(2)⋊C₄/C₄²⋊C₂ → C₂ ⊆ Aut C₇	224		C7:4(M4(2):C4)	448,529
C₇⋊₅(M₄(2)⋊C₄) = C₂³.₄₇D₂₈	φ: M₄(2)⋊C₄/C₂×M₄(2) → C₂ ⊆ Aut C₇	224		C7:5(M4(2):C4)	448,655

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