Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂×Dic₆

Direct product G=N×Q with N=C₅ and Q=C₂×Dic₆

		d	ρ	Label	ID
C₁₀×Dic₆		240		C10xDic6	240,165

Semidirect products G=N:Q with N=C₅ and Q=C₂×Dic₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂×Dic₆) = D₅×Dic₆	φ: C₂×Dic₆/Dic₆ → C₂ ⊆ Aut C₅	120	4-	C5:1(C2xDic6)	240,125
C₅⋊₂(C₂×Dic₆) = C₂×C₁₅⋊Q₈	φ: C₂×Dic₆/C₂×Dic₃ → C₂ ⊆ Aut C₅	240		C5:2(C2xDic6)	240,148
C₅⋊₃(C₂×Dic₆) = C₂×Dic₃₀	φ: C₂×Dic₆/C₂×C₁₂ → C₂ ⊆ Aut C₅	240		C5:3(C2xDic6)	240,175

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