Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂×Dic₃⋊C₄

Direct product G=N×Q with N=C₅ and Q=C₂×Dic₃⋊C₄

		d	ρ	Label	ID
C₁₀×Dic₃⋊C₄		480		C10xDic3:C4	480,802

Semidirect products G=N:Q with N=C₅ and Q=C₂×Dic₃⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₂×Dic₃⋊C₄) = C₂×Dic₃⋊F₅	φ: C₂×Dic₃⋊C₄/C₂×Dic₃ → C₄ ⊆ Aut C₅	120		C5:(C2xDic3:C4)	480,1001
C₅⋊₂(C₂×Dic₃⋊C₄) = D₅×Dic₃⋊C₄	φ: C₂×Dic₃⋊C₄/Dic₃⋊C₄ → C₂ ⊆ Aut C₅	240		C5:2(C2xDic3:C4)	480,468
C₅⋊₃(C₂×Dic₃⋊C₄) = C₂×Dic₁₅⋊₅C₄	φ: C₂×Dic₃⋊C₄/C₂²×Dic₃ → C₂ ⊆ Aut C₅	480		C5:3(C2xDic3:C4)	480,620
C₅⋊₄(C₂×Dic₃⋊C₄) = C₂×C₆.Dic₁₀	φ: C₂×Dic₃⋊C₄/C₂²×Dic₃ → C₂ ⊆ Aut C₅	480		C5:4(C2xDic3:C4)	480,621
C₅⋊₅(C₂×Dic₃⋊C₄) = C₂×C₃₀.₄Q₈	φ: C₂×Dic₃⋊C₄/C₂²×C₁₂ → C₂ ⊆ Aut C₅	480		C5:5(C2xDic3:C4)	480,888

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