Extensions 1→N→G→Q→1 with N=C₅ and Q=D₄⋊₂S₃

Direct product G=N×Q with N=C₅ and Q=D₄⋊₂S₃

		d	ρ	Label	ID
C₅×D₄⋊₂S₃		120	4	C5xD4:2S3	240,170

Semidirect products G=N:Q with N=C₅ and Q=D₄⋊₂S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(D₄⋊₂S₃) = D₂₀⋊S₃	φ: D₄⋊₂S₃/Dic₆ → C₂ ⊆ Aut C₅	120	4	C5:1(D4:2S3)	240,127
C₅⋊₂(D₄⋊₂S₃) = D₂₀⋊₅S₃	φ: D₄⋊₂S₃/C₄×S₃ → C₂ ⊆ Aut C₅	120	4-	C5:2(D4:2S3)	240,126
C₅⋊₃(D₄⋊₂S₃) = Dic₅.D₆	φ: D₄⋊₂S₃/C₂×Dic₃ → C₂ ⊆ Aut C₅	120	4	C5:3(D4:2S3)	240,140
C₅⋊₄(D₄⋊₂S₃) = C₃₀.C₂³	φ: D₄⋊₂S₃/C₃⋊D₄ → C₂ ⊆ Aut C₅	120	4-	C5:4(D4:2S3)	240,141
C₅⋊₅(D₄⋊₂S₃) = D₄⋊₂D₁₅	φ: D₄⋊₂S₃/C₃×D₄ → C₂ ⊆ Aut C₅	120	4-	C5:5(D4:2S3)	240,180

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