Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂²×Dic₆

Direct product G=N×Q with N=C₅ and Q=C₂²×Dic₆

		d	ρ	Label	ID
C₂×C₁₀×Dic₆		480		C2xC10xDic6	480,1150

Semidirect products G=N:Q with N=C₅ and Q=C₂²×Dic₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂²×Dic₆) = C₂×D₅×Dic₆	φ: C₂²×Dic₆/C₂×Dic₆ → C₂ ⊆ Aut C₅	240		C5:1(C2^2xDic6)	480,1073
C₅⋊₂(C₂²×Dic₆) = C₂²×C₁₅⋊Q₈	φ: C₂²×Dic₆/C₂²×Dic₃ → C₂ ⊆ Aut C₅	480		C5:2(C2^2xDic6)	480,1121
C₅⋊₃(C₂²×Dic₆) = C₂²×Dic₃₀	φ: C₂²×Dic₆/C₂²×C₁₂ → C₂ ⊆ Aut C₅	480		C5:3(C2^2xDic6)	480,1165

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