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		112		C7xC4^2:6C4	448,143

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) = C₂₈.₈C₄²	φ: C₄²⋊₆C₄/C₂×C₄² → C₂ ⊆ Aut C₇	112		C7:1(C4^2:6C4)	448,80
C₇⋊₂(C₄²⋊₆C₄) = C₂₈.₂C₄²	φ: C₄²⋊₆C₄/C₄²⋊C₂ → C₂ ⊆ Aut C₇	112		C7:2(C4^2:6C4)	448,89
C₇⋊₃(C₄²⋊₆C₄) = C₂₈.₃C₄²	φ: C₄²⋊₆C₄/C₂×M₄(2) → C₂ ⊆ Aut C₇	112		C7:3(C4^2:6C4)	448,112

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