Extensions 1→N→G→Q→1 with N=C₃ and Q=D₅×C₂²⋊C₄

Direct product G=N×Q with N=C₃ and Q=D₅×C₂²⋊C₄

		d	ρ	Label	ID
C₃×D₅×C₂²⋊C₄		120		C3xD5xC2^2:C4	480,673

Semidirect products G=N:Q with N=C₃ and Q=D₅×C₂²⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₅×C₂²⋊C₄) = D₃₀.₂₇D₄	φ: D₅×C₂²⋊C₄/D₁₀⋊C₄ → C₂ ⊆ Aut C₃	120		C3:1(D5xC2^2:C4)	480,549
C₃⋊₂(D₅×C₂²⋊C₄) = D₃₀.₄₅D₄	φ: D₅×C₂²⋊C₄/C₂³.D₅ → C₂ ⊆ Aut C₃	120		C3:2(D5xC2^2:C4)	480,637
C₃⋊₃(D₅×C₂²⋊C₄) = C₂²⋊C₄×D₁₅	φ: D₅×C₂²⋊C₄/C₅×C₂²⋊C₄ → C₂ ⊆ Aut C₃	120		C3:3(D5xC2^2:C4)	480,845
C₃⋊₄(D₅×C₂²⋊C₄) = D₅×D₆⋊C₄	φ: D₅×C₂²⋊C₄/C₂×C₄×D₅ → C₂ ⊆ Aut C₃	120		C3:4(D5xC2^2:C4)	480,547
C₃⋊₅(D₅×C₂²⋊C₄) = D₅×C₆.D₄	φ: D₅×C₂²⋊C₄/C₂³×D₅ → C₂ ⊆ Aut C₃	120		C3:5(D5xC2^2:C4)	480,623

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