Extensions 1→N→G→Q→1 with N=C₅ and Q=Dic₃⋊₄D₄

Direct product G=N×Q with N=C₅ and Q=Dic₃⋊₄D₄

		d	ρ	Label	ID
C₅×Dic₃⋊₄D₄		240		C5xDic3:4D4	480,760

Semidirect products G=N:Q with N=C₅ and Q=Dic₃⋊₄D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(Dic₃⋊₄D₄) = C₃⋊D₄⋊F₅	φ: Dic₃⋊₄D₄/C₃⋊D₄ → C₄ ⊆ Aut C₅	60	8	C5:(Dic3:4D4)	480,1012
C₅⋊₂(Dic₃⋊₄D₄) = Dic₃⋊₄D₂₀	φ: Dic₃⋊₄D₄/C₄×Dic₃ → C₂ ⊆ Aut C₅	240		C5:2(Dic3:4D4)	480,471
C₅⋊₃(Dic₃⋊₄D₄) = Dic₁₅⋊₁₃D₄	φ: Dic₃⋊₄D₄/Dic₃⋊C₄ → C₂ ⊆ Aut C₅	240		C5:3(Dic3:4D4)	480,472
C₅⋊₄(Dic₃⋊₄D₄) = Dic₁₅⋊₉D₄	φ: Dic₃⋊₄D₄/D₆⋊C₄ → C₂ ⊆ Aut C₅	240		C5:4(Dic3:4D4)	480,518
C₅⋊₅(Dic₃⋊₄D₄) = Dic₁₅⋊₁₉D₄	φ: Dic₃⋊₄D₄/C₃×C₂²⋊C₄ → C₂ ⊆ Aut C₅	240		C5:5(Dic3:4D4)	480,846
C₅⋊₆(Dic₃⋊₄D₄) = C₁₅⋊₁₇(C₄×D₄)	φ: Dic₃⋊₄D₄/S₃×C₂×C₄ → C₂ ⊆ Aut C₅	240		C5:6(Dic3:4D4)	480,517
C₅⋊₇(Dic₃⋊₄D₄) = C₁₅⋊₂₈(C₄×D₄)	φ: Dic₃⋊₄D₄/C₂²×Dic₃ → C₂ ⊆ Aut C₅	240		C5:7(Dic3:4D4)	480,632
C₅⋊₈(Dic₃⋊₄D₄) = Dic₁₅⋊₁₇D₄	φ: Dic₃⋊₄D₄/C₂×C₃⋊D₄ → C₂ ⊆ Aut C₅	240		C5:8(Dic3:4D4)	480,636

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