Extensions 1→N→G→Q→1 with N=C₅ and Q=C₄×Dic₆

Direct product G=N×Q with N=C₅ and Q=C₄×Dic₆

		d	ρ	Label	ID
C₂₀×Dic₆		480		C20xDic6	480,747

Semidirect products G=N:Q with N=C₅ and Q=C₄×Dic₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₄×Dic₆) = F₅×Dic₆	φ: C₄×Dic₆/Dic₆ → C₄ ⊆ Aut C₅	120	8-	C5:(C4xDic6)	480,982
C₅⋊₂(C₄×Dic₆) = C₄×C₁₅⋊Q₈	φ: C₄×Dic₆/C₄×Dic₃ → C₂ ⊆ Aut C₅	480		C5:2(C4xDic6)	480,543
C₅⋊₃(C₄×Dic₆) = Dic₅⋊₅Dic₆	φ: C₄×Dic₆/Dic₃⋊C₄ → C₂ ⊆ Aut C₅	480		C5:3(C4xDic6)	480,399
C₅⋊₄(C₄×Dic₆) = Dic₃₀⋊₁₇C₄	φ: C₄×Dic₆/C₄⋊Dic₃ → C₂ ⊆ Aut C₅	480		C5:4(C4xDic6)	480,409
C₅⋊₅(C₄×Dic₆) = C₄×Dic₃₀	φ: C₄×Dic₆/C₄×C₁₂ → C₂ ⊆ Aut C₅	480		C5:5(C4xDic6)	480,833
C₅⋊₆(C₄×Dic₆) = Dic₅×Dic₆	φ: C₄×Dic₆/C₂×Dic₆ → C₂ ⊆ Aut C₅	480		C5:6(C4xDic6)	480,408

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