Extensions 1→N→G→Q→1 with N=C₃² and Q=C₅×D₄

Direct product G=N×Q with N=C₃² and Q=C₅×D₄

		d	ρ	Label	ID
D₄×C₃×C₁₅		180		D4xC3xC15	360,116

Semidirect products G=N:Q with N=C₃² and Q=C₅×D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²⋊(C₅×D₄) = C₅×S₃≀C₂	φ: C₅×D₄/C₅ → D₄ ⊆ Aut C₃²	30	4	C3^2:(C5xD4)	360,132
C₃²⋊₂(C₅×D₄) = C₅×D₆⋊S₃	φ: C₅×D₄/C₁₀ → C₂² ⊆ Aut C₃²	120	4	C3^2:2(C5xD4)	360,74
C₃²⋊₃(C₅×D₄) = C₅×C₃⋊D₁₂	φ: C₅×D₄/C₁₀ → C₂² ⊆ Aut C₃²	60	4	C3^2:3(C5xD4)	360,75
C₃²⋊₄(C₅×D₄) = C₁₅×D₁₂	φ: C₅×D₄/C₂₀ → C₂ ⊆ Aut C₃²	120	2	C3^2:4(C5xD4)	360,97
C₃²⋊₅(C₅×D₄) = C₅×C₁₂⋊S₃	φ: C₅×D₄/C₂₀ → C₂ ⊆ Aut C₃²	180		C3^2:5(C5xD4)	360,107
C₃²⋊₆(C₅×D₄) = C₁₅×C₃⋊D₄	φ: C₅×D₄/C₂×C₁₀ → C₂ ⊆ Aut C₃²	60	2	C3^2:6(C5xD4)	360,99
C₃²⋊₇(C₅×D₄) = C₅×C₃²⋊₇D₄	φ: C₅×D₄/C₂×C₁₀ → C₂ ⊆ Aut C₃²	180		C3^2:7(C5xD4)	360,109

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