Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃×C₁₈

Direct product G=N×Q with N=C₃ and Q=C₃×C₁₈

		d	ρ	Label	ID
C₃²×C₁₈		162		C3^2xC18	162,47

Semidirect products G=N:Q with N=C₃ and Q=C₃×C₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₃×C₁₈) = S₃×C₃×C₉	φ: C₃×C₁₈/C₃×C₉ → C₂ ⊆ Aut C₃	54		C3:(C3xC18)	162,33

Non-split extensions G=N.Q with N=C₃ and Q=C₃×C₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₃×C₁₈) = C₂×C₃²⋊C₉	central stem extension (φ=1)	54		C3.1(C3xC18)	162,24
C₃.₂(C₃×C₁₈) = C₂×C₉⋊C₉	central stem extension (φ=1)	162		C3.2(C3xC18)	162,25
C₃.₃(C₃×C₁₈) = C₂×C₂₇⋊C₃	central stem extension (φ=1)	54	3	C3.3(C3xC18)	162,27

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Extensions 1→N→G→Q→1 with N=C3 and Q=C3×C18