Extensions 1→N→G→Q→1 with N=C₃² and Q=D₁₈

Direct product G=N×Q with N=C₃² and Q=D₁₈

		d	ρ	Label	ID
D₉×C₃×C₆		108		D9xC3xC6	324,136

Semidirect products G=N:Q with N=C₃² and Q=D₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²⋊D₁₈ = C₃²⋊D₁₈	φ: D₁₈/C₃ → D₆ ⊆ Aut C₃²	18	12+	C3^2:D18	324,37
C₃²⋊₂D₁₈ = C₂×C₃²⋊D₉	φ: D₁₈/C₆ → S₃ ⊆ Aut C₃²	54		C3^2:2D18	324,63
C₃²⋊₃D₁₈ = C₂×C₃²⋊₂D₉	φ: D₁₈/C₆ → S₃ ⊆ Aut C₃²	36	6	C3^2:3D18	324,75
C₃²⋊₄D₁₈ = S₃×C₉⋊S₃	φ: D₁₈/C₉ → C₂² ⊆ Aut C₃²	54		C3^2:4D18	324,120
C₃²⋊₅D₁₈ = C₃²⋊₅D₁₈	φ: D₁₈/C₉ → C₂² ⊆ Aut C₃²	36	4	C3^2:5D18	324,123
C₃²⋊₆D₁₈ = C₃×S₃×D₉	φ: D₁₈/D₉ → C₂ ⊆ Aut C₃²	36	4	C3^2:6D18	324,114
C₃²⋊₇D₁₈ = D₉×C₃⋊S₃	φ: D₁₈/D₉ → C₂ ⊆ Aut C₃²	54		C3^2:7D18	324,119
C₃²⋊₈D₁₈ = C₆×C₉⋊S₃	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₃²	108		C3^2:8D18	324,142
C₃²⋊₉D₁₈ = C₂×C₃²⋊₄D₉	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₃²	162		C3^2:9D18	324,149

Non-split extensions G=N.Q with N=C₃² and Q=D₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃².D₁₈ = C₂×C₂₇⋊C₆	φ: D₁₈/C₆ → S₃ ⊆ Aut C₃²	54	6+	C3^2.D18	324,67
C₃².₂D₁₈ = S₃×D₂₇	φ: D₁₈/C₉ → C₂² ⊆ Aut C₃²	54	4+	C3^2.2D18	324,38
C₃².₃D₁₈ = C₆×D₂₇	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₃²	108	2	C3^2.3D18	324,65
C₃².₄D₁₈ = C₂×C₂₇⋊S₃	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₃²	162		C3^2.4D18	324,76

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