Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂×S₃²

Direct product G=N×Q with N=C₅ and Q=C₂×S₃²

		d	ρ	Label	ID
S₃²×C₁₀		60	4	S3^2xC10	360,153

Semidirect products G=N:Q with N=C₅ and Q=C₂×S₃²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂×S₃²) = S₃²×D₅	φ: C₂×S₃²/S₃² → C₂ ⊆ Aut C₅	30	8+	C5:1(C2xS3^2)	360,137
C₅⋊₂(C₂×S₃²) = C₂×S₃×D₁₅	φ: C₂×S₃²/S₃×C₆ → C₂ ⊆ Aut C₅	60	4+	C5:2(C2xS3^2)	360,154
C₅⋊₃(C₂×S₃²) = C₂×D₁₅⋊S₃	φ: C₂×S₃²/C₂×C₃⋊S₃ → C₂ ⊆ Aut C₅	60	4	C5:3(C2xS3^2)	360,155

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