Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂²×C₃⋊D₄

Direct product G=N×Q with N=C₅ and Q=C₂²×C₃⋊D₄

		d	ρ	Label	ID
C₂×C₁₀×C₃⋊D₄		240		C2xC10xC3:D4	480,1164

Semidirect products G=N:Q with N=C₅ and Q=C₂²×C₃⋊D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂²×C₃⋊D₄) = C₂²×C₃⋊D₂₀	φ: C₂²×C₃⋊D₄/C₂²×Dic₃ → C₂ ⊆ Aut C₅	240		C5:1(C2^2xC3:D4)	480,1119
C₅⋊₂(C₂²×C₃⋊D₄) = C₂×D₅×C₃⋊D₄	φ: C₂²×C₃⋊D₄/C₂×C₃⋊D₄ → C₂ ⊆ Aut C₅	120		C5:2(C2^2xC3:D4)	480,1122
C₅⋊₃(C₂²×C₃⋊D₄) = C₂²×C₁₅⋊D₄	φ: C₂²×C₃⋊D₄/S₃×C₂³ → C₂ ⊆ Aut C₅	240		C5:3(C2^2xC3:D4)	480,1118
C₅⋊₄(C₂²×C₃⋊D₄) = C₂²×C₁₅⋊₇D₄	φ: C₂²×C₃⋊D₄/C₂³×C₆ → C₂ ⊆ Aut C₅	240		C5:4(C2^2xC3:D4)	480,1179

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