Extensions 1→N→G→Q→1 with N=C₅ and Q=S₃×C₄○D₄

Direct product G=N×Q with N=C₅ and Q=S₃×C₄○D₄

		d	ρ	Label	ID
C₅×S₃×C₄○D₄		120	4	C5xS3xC4oD4	480,1160

Semidirect products G=N:Q with N=C₅ and Q=S₃×C₄○D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(S₃×C₄○D₄) = S₃×C₄○D₂₀	φ: S₃×C₄○D₄/S₃×C₂×C₄ → C₂ ⊆ Aut C₅	120	4	C5:1(S3xC4oD4)	480,1091
C₅⋊₂(S₃×C₄○D₄) = D₂₀⋊₂₄D₆	φ: S₃×C₄○D₄/C₄○D₁₂ → C₂ ⊆ Aut C₅	120	4	C5:2(S3xC4oD4)	480,1092
C₅⋊₃(S₃×C₄○D₄) = S₃×D₄⋊₂D₅	φ: S₃×C₄○D₄/S₃×D₄ → C₂ ⊆ Aut C₅	120	8-	C5:3(S3xC4oD4)	480,1099
C₅⋊₄(S₃×C₄○D₄) = D₃₀.C₂³	φ: S₃×C₄○D₄/D₄⋊₂S₃ → C₂ ⊆ Aut C₅	120	8+	C5:4(S3xC4oD4)	480,1100
C₅⋊₅(S₃×C₄○D₄) = S₃×Q₈⋊₂D₅	φ: S₃×C₄○D₄/S₃×Q₈ → C₂ ⊆ Aut C₅	120	8+	C5:5(S3xC4oD4)	480,1109
C₅⋊₆(S₃×C₄○D₄) = D₂₀⋊₁₆D₆	φ: S₃×C₄○D₄/Q₈⋊₃S₃ → C₂ ⊆ Aut C₅	120	8-	C5:6(S3xC4oD4)	480,1110
C₅⋊₇(S₃×C₄○D₄) = C₄○D₄×D₁₅	φ: S₃×C₄○D₄/C₃×C₄○D₄ → C₂ ⊆ Aut C₅	120	4	C5:7(S3xC4oD4)	480,1175

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