Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂³.C₂³

Direct product G=N×Q with N=C₅ and Q=C₂³.C₂³

		d	ρ	Label	ID
C₅×C₂³.C₂³		80	4	C5xC2^3.C2^3	320,911

Semidirect products G=N:Q with N=C₅ and Q=C₂³.C₂³

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂³.C₂³) = C₂³⋊F₅⋊₅C₂	φ: C₂³.C₂³/C₂²×C₄ → C₄ ⊆ Aut C₅	80	4	C5:1(C2^3.C2^3)	320,1083
C₅⋊₂(C₂³.C₂³) = (C₂×D₄)⋊₈F₅	φ: C₂³.C₂³/C₂×D₄ → C₄ ⊆ Aut C₅	80	8-	C5:2(C2^3.C2^3)	320,1109
C₅⋊₃(C₂³.C₂³) = (C₂×Q₈)⋊₇F₅	φ: C₂³.C₂³/C₂×Q₈ → C₄ ⊆ Aut C₅	80	8+	C5:3(C2^3.C2^3)	320,1123
C₅⋊₄(C₂³.C₂³) = C₂³⋊C₄⋊₅D₅	φ: C₂³.C₂³/C₂³⋊C₄ → C₂ ⊆ Aut C₅	80	8-	C5:4(C2^3.C2^3)	320,367
C₅⋊₅(C₂³.C₂³) = (C₂×D₂₀)⋊₂₅C₄	φ: C₂³.C₂³/C₄²⋊C₂ → C₂ ⊆ Aut C₅	80	4	C5:5(C2^3.C2^3)	320,633
C₅⋊₆(C₂³.C₂³) = (D₄×C₁₀)⋊₂₂C₄	φ: C₂³.C₂³/C₂×C₄○D₄ → C₂ ⊆ Aut C₅	80	4	C5:6(C2^3.C2^3)	320,867

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