Extensions 1→N→G→Q→1 with N=C₃ and Q=C₆×C₁₈

Direct product G=N×Q with N=C₃ and Q=C₆×C₁₈

		d	ρ	Label	ID
C₃×C₆×C₁₈		324		C3xC6xC18	324,151

Semidirect products G=N:Q with N=C₃ and Q=C₆×C₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₆×C₁₈) = S₃×C₃×C₁₈	φ: C₆×C₁₈/C₃×C₁₈ → C₂ ⊆ Aut C₃	108		C3:(C6xC18)	324,137

Non-split extensions G=N.Q with N=C₃ and Q=C₆×C₁₈

extension	φ:Q→Aut N	d	Label	ID
C₃.₁(C₆×C₁₈) = C₂²×C₃²⋊C₉	central stem extension (φ=1)	108	C3.1(C6xC18)	324,82
C₃.₂(C₆×C₁₈) = C₂²×C₉⋊C₉	central stem extension (φ=1)	324	C3.2(C6xC18)	324,83
C₃.₃(C₆×C₁₈) = C₂²×C₂₇⋊C₃	central stem extension (φ=1)	108	C3.3(C6xC18)	324,85

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Extensions 1→N→G→Q→1 with N=C3 and Q=C6×C18