Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂×C₃≀C₃

Direct product G=N×Q with N=C₃ and Q=C₂×C₃≀C₃

		d	ρ	Label	ID
C₆×C₃≀C₃		54		C6xC3wrC3	486,210

Semidirect products G=N:Q with N=C₃ and Q=C₂×C₃≀C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₂×C₃≀C₃) = S₃×C₃≀C₃	φ: C₂×C₃≀C₃/C₃≀C₃ → C₂ ⊆ Aut C₃	18	6	C3:(C2xC3wrC3)	486,117

Non-split extensions G=N.Q with N=C₃ and Q=C₂×C₃≀C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₂×C₃≀C₃) = C₂×C₃³⋊C₉	central extension (φ=1)	54		C3.1(C2xC3wrC3)	486,73
C₃.₂(C₂×C₃≀C₃) = C₂×He₃⋊C₉	central extension (φ=1)	162		C3.2(C2xC3wrC3)	486,77
C₃.₃(C₂×C₃≀C₃) = C₂×3_-¹⁺²⋊C₉	central extension (φ=1)	162		C3.3(C2xC3wrC3)	486,78
C₃.₄(C₂×C₃≀C₃) = C₂×C₃².₂₄He₃	central stem extension (φ=1)	162		C3.4(C2xC3wrC3)	486,63
C₃.₅(C₂×C₃≀C₃) = C₂×C₃³.C₃²	central stem extension (φ=1)	162		C3.5(C2xC3wrC3)	486,64
C₃.₆(C₂×C₃≀C₃) = C₂×C₃³.₃C₃²	central stem extension (φ=1)	162		C3.6(C2xC3wrC3)	486,65
C₃.₇(C₂×C₃≀C₃) = C₂×C₃².₂₇He₃	central stem extension (φ=1)	162		C3.7(C2xC3wrC3)	486,66
C₃.₈(C₂×C₃≀C₃) = C₂×C₃².₂₈He₃	central stem extension (φ=1)	162		C3.8(C2xC3wrC3)	486,67

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