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

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

		d	ρ	Label	ID
C₅×Dic₆⋊C₄		480		C5xDic6:C4	480,766

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(Dic₆⋊C₄) = Dic₆⋊₅F₅	φ: Dic₆⋊C₄/Dic₆ → C₄ ⊆ Aut C₅	120	8-	C5:(Dic6:C4)	480,984
C₅⋊₂(Dic₆⋊C₄) = Dic₃⋊₅Dic₁₀	φ: Dic₆⋊C₄/C₄×Dic₃ → C₂ ⊆ Aut C₅	480		C5:2(Dic6:C4)	480,400
C₅⋊₃(Dic₆⋊C₄) = Dic₃₀⋊₁₄C₄	φ: Dic₆⋊C₄/C₄×Dic₃ → C₂ ⊆ Aut C₅	480		C5:3(Dic6:C4)	480,416
C₅⋊₄(Dic₆⋊C₄) = Dic₁₅⋊₅Q₈	φ: Dic₆⋊C₄/Dic₃⋊C₄ → C₂ ⊆ Aut C₅	480		C5:4(Dic6:C4)	480,401
C₅⋊₅(Dic₆⋊C₄) = Dic₁₅⋊₁₀Q₈	φ: Dic₆⋊C₄/C₃×C₄⋊C₄ → C₂ ⊆ Aut C₅	480		C5:5(Dic6:C4)	480,852
C₅⋊₆(Dic₆⋊C₄) = Dic₁₅⋊₇Q₈	φ: Dic₆⋊C₄/C₂×Dic₆ → C₂ ⊆ Aut C₅	480		C5:6(Dic6:C4)	480,420

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