Extensions 1→N→G→Q→1 with N=C₃ and Q=C₆×D₉

Direct product G=N×Q with N=C₃ and Q=C₆×D₉

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

Semidirect products G=N:Q with N=C₃ and Q=C₆×D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₆×D₉) = C₃×S₃×D₉	φ: C₆×D₉/C₃×D₉ → C₂ ⊆ Aut C₃	36	4	C3:1(C6xD9)	324,114
C₃⋊₂(C₆×D₉) = C₆×C₉⋊S₃	φ: C₆×D₉/C₃×C₁₈ → C₂ ⊆ Aut C₃	108		C3:2(C6xD9)	324,142

Non-split extensions G=N.Q with N=C₃ and Q=C₆×D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₆×D₉) = C₂×C₃²⋊D₉	φ: C₆×D₉/C₃×C₁₈ → C₂ ⊆ Aut C₃	54		C3.1(C6xD9)	324,63
C₃.₂(C₆×D₉) = C₆×D₂₇	φ: C₆×D₉/C₃×C₁₈ → C₂ ⊆ Aut C₃	108	2	C3.2(C6xD9)	324,65
C₃.₃(C₆×D₉) = C₂×C₂₇⋊C₆	φ: C₆×D₉/C₃×C₁₈ → C₂ ⊆ Aut C₃	54	6+	C3.3(C6xD9)	324,67
C₃.₄(C₆×D₉) = D₉×C₁₈	central extension (φ=1)	36	2	C3.4(C6xD9)	324,61

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