Extensions 1→N→G→Q→1 with N=C₅ and Q=C₃×C₄⋊D₄

Direct product G=N×Q with N=C₅ and Q=C₃×C₄⋊D₄

		d	ρ	Label	ID
C₁₅×C₄⋊D₄		240		C15xC4:D4	480,926

Semidirect products G=N:Q with N=C₅ and Q=C₃×C₄⋊D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₃×C₄⋊D₄) = C₃×D₁₀⋊D₄	φ: C₃×C₄⋊D₄/C₃×C₂²⋊C₄ → C₂ ⊆ Aut C₅	240		C5:1(C3xC4:D4)	480,677
C₅⋊₂(C₃×C₄⋊D₄) = C₃×C₄⋊D₂₀	φ: C₃×C₄⋊D₄/C₃×C₄⋊C₄ → C₂ ⊆ Aut C₅	240		C5:2(C3xC4:D4)	480,688
C₅⋊₃(C₃×C₄⋊D₄) = C₃×C₂₀⋊₇D₄	φ: C₃×C₄⋊D₄/C₂²×C₁₂ → C₂ ⊆ Aut C₅	240		C5:3(C3xC4:D4)	480,723
C₅⋊₄(C₃×C₄⋊D₄) = C₃×C₂₀⋊₂D₄	φ: C₃×C₄⋊D₄/C₆×D₄ → C₂ ⊆ Aut C₅	240		C5:4(C3xC4:D4)	480,731
C₅⋊₅(C₃×C₄⋊D₄) = C₃×Dic₅⋊D₄	φ: C₃×C₄⋊D₄/C₆×D₄ → C₂ ⊆ Aut C₅	240		C5:5(C3xC4:D4)	480,732

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