Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂²×C₃⋊S₃

Direct product G=N×Q with N=C₅ and Q=C₂²×C₃⋊S₃

		d	ρ	Label	ID
C₃⋊S₃×C₂×C₁₀		180		C3:S3xC2xC10	360,160

Semidirect products G=N:Q with N=C₅ and Q=C₂²×C₃⋊S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂²×C₃⋊S₃) = C₂×D₅×C₃⋊S₃	φ: C₂²×C₃⋊S₃/C₂×C₃⋊S₃ → C₂ ⊆ Aut C₅	90		C5:1(C2^2xC3:S3)	360,152
C₅⋊₂(C₂²×C₃⋊S₃) = C₂²×C₃⋊D₁₅	φ: C₂²×C₃⋊S₃/C₆² → C₂ ⊆ Aut C₅	180		C5:2(C2^2xC3:S3)	360,161

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