Extensions 1→N→G→Q→1 with N=C₃ and Q=D₅×C₄○D₄

Direct product G=N×Q with N=C₃ and Q=D₅×C₄○D₄

		d	ρ	Label	ID
C₃×D₅×C₄○D₄		120	4	C3xD5xC4oD4	480,1145

Semidirect products G=N:Q with N=C₃ and Q=D₅×C₄○D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₅×C₄○D₄) = D₅×C₄○D₁₂	φ: D₅×C₄○D₄/C₂×C₄×D₅ → C₂ ⊆ Aut C₃	120	4	C3:1(D5xC4oD4)	480,1090
C₃⋊₂(D₅×C₄○D₄) = D₂₀⋊₂₄D₆	φ: D₅×C₄○D₄/C₄○D₂₀ → C₂ ⊆ Aut C₃	120	4	C3:2(D5xC4oD4)	480,1092
C₃⋊₃(D₅×C₄○D₄) = D₅×D₄⋊₂S₃	φ: D₅×C₄○D₄/D₄×D₅ → C₂ ⊆ Aut C₃	120	8-	C3:3(D5xC4oD4)	480,1098
C₃⋊₄(D₅×C₄○D₄) = D₃₀.C₂³	φ: D₅×C₄○D₄/D₄⋊₂D₅ → C₂ ⊆ Aut C₃	120	8+	C3:4(D5xC4oD4)	480,1100
C₃⋊₅(D₅×C₄○D₄) = D₅×Q₈⋊₃S₃	φ: D₅×C₄○D₄/Q₈×D₅ → C₂ ⊆ Aut C₃	120	8+	C3:5(D5xC4oD4)	480,1108
C₃⋊₆(D₅×C₄○D₄) = D₂₀⋊₁₆D₆	φ: D₅×C₄○D₄/Q₈⋊₂D₅ → C₂ ⊆ Aut C₃	120	8-	C3:6(D5xC4oD4)	480,1110
C₃⋊₇(D₅×C₄○D₄) = C₄○D₄×D₁₅	φ: D₅×C₄○D₄/C₅×C₄○D₄ → C₂ ⊆ Aut C₃	120	4	C3:7(D5xC4oD4)	480,1175

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