Extensions 1→N→G→Q→1 with N=C₇ and Q=C₄².₆C₄

Direct product G=N×Q with N=C₇ and Q=C₄².₆C₄

		d	ρ	Label	ID
C₇×C₄².₆C₄		224		C7xC4^2.6C4	448,840

Semidirect products G=N:Q with N=C₇ and Q=C₄².₆C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₄².₆C₄) = C₄².₁₈₂D₁₄	φ: C₄².₆C₄/C₈⋊C₄ → C₂ ⊆ Aut C₇	224		C7:1(C4^2.6C4)	448,239
C₇⋊₂(C₄².₆C₄) = Dic₇.M₄(2)	φ: C₄².₆C₄/C₂²⋊C₈ → C₂ ⊆ Aut C₇	224		C7:2(C4^2.6C4)	448,253
C₇⋊₃(C₄².₆C₄) = C₄².₂₀₂D₁₄	φ: C₄².₆C₄/C₄⋊C₈ → C₂ ⊆ Aut C₇	224		C7:3(C4^2.6C4)	448,369
C₇⋊₄(C₄².₆C₄) = C₄².₇Dic₇	φ: C₄².₆C₄/C₂×C₄² → C₂ ⊆ Aut C₇	224		C7:4(C4^2.6C4)	448,460

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