Extensions 1→N→G→Q→1 with N=C₇ and Q=C₄²⋊₈C₄

Direct product G=N×Q with N=C₇ and Q=C₄²⋊₈C₄

		d	ρ	Label	ID
C₇×C₄²⋊₈C₄		448		C7xC4^2:8C4	448,790

Semidirect products G=N:Q with N=C₇ and Q=C₄²⋊₈C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₄²⋊₈C₄) = C₇⋊(C₄²⋊₈C₄)	φ: C₄²⋊₈C₄/C₂.C₄² → C₂ ⊆ Aut C₇	448		C7:1(C4^2:8C4)	448,184
C₇⋊₂(C₄²⋊₈C₄) = C₄²⋊₉Dic₇	φ: C₄²⋊₈C₄/C₂×C₄² → C₂ ⊆ Aut C₇	448		C7:2(C4^2:8C4)	448,470
C₇⋊₃(C₄²⋊₈C₄) = (C₄×Dic₇)⋊₉C₄	φ: C₄²⋊₈C₄/C₂×C₄⋊C₄ → C₂ ⊆ Aut C₇	448		C7:3(C4^2:8C4)	448,511

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