Extensions 1→N→G→Q→1 with N=C₇ and Q=C₂³.C₂³

Direct product G=N×Q with N=C₇ and Q=C₂³.C₂³

		d	ρ	Label	ID
C₇×C₂³.C₂³		112	4	C7xC2^3.C2^3	448,818

Semidirect products G=N:Q with N=C₇ and Q=C₂³.C₂³

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₂³.C₂³) = C₂³⋊C₄⋊₅D₇	φ: C₂³.C₂³/C₂³⋊C₄ → C₂ ⊆ Aut C₇	112	8-	C7:1(C2^3.C2^3)	448,274
C₇⋊₂(C₂³.C₂³) = (C₂×D₂₈)⋊₁₃C₄	φ: C₂³.C₂³/C₄²⋊C₂ → C₂ ⊆ Aut C₇	112	4	C7:2(C2^3.C2^3)	448,540
C₇⋊₃(C₂³.C₂³) = (D₄×C₁₄)⋊₁₀C₄	φ: C₂³.C₂³/C₂×C₄○D₄ → C₂ ⊆ Aut C₇	112	4	C7:3(C2^3.C2^3)	448,774

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