Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂×He₃.C₃

Direct product G=N×Q with N=C₃ and Q=C₂×He₃.C₃

		d	ρ	Label	ID
C₆×He₃.C₃		162		C6xHe3.C3	486,211

Semidirect products G=N:Q with N=C₃ and Q=C₂×He₃.C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₂×He₃.C₃) = S₃×He₃.C₃	φ: C₂×He₃.C₃/He₃.C₃ → C₂ ⊆ Aut C₃	54	6	C3:(C2xHe3.C3)	486,120

Non-split extensions G=N.Q with N=C₃ and Q=C₂×He₃.C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₂×He₃.C₃) = C₂×C₃².₁₉He₃	central extension (φ=1)	162		C3.1(C2xHe3.C3)	486,74
C₃.₂(C₂×He₃.C₃) = C₂×He₃⋊C₉	central extension (φ=1)	162		C3.2(C2xHe3.C3)	486,77
C₃.₃(C₂×He₃.C₃) = C₂×3_-¹⁺²⋊C₉	central extension (φ=1)	162		C3.3(C2xHe3.C3)	486,78
C₃.₄(C₂×He₃.C₃) = C₂×C₃³.C₃²	central stem extension (φ=1)	162		C3.4(C2xHe3.C3)	486,64
C₃.₅(C₂×He₃.C₃) = C₂×C₃³.₃C₃²	central stem extension (φ=1)	162		C3.5(C2xHe3.C3)	486,65
C₃.₆(C₂×He₃.C₃) = C₂×C₃².₂₇He₃	central stem extension (φ=1)	162		C3.6(C2xHe3.C3)	486,66
C₃.₇(C₂×He₃.C₃) = C₂×C₃².₂₉He₃	central stem extension (φ=1)	162		C3.7(C2xHe3.C3)	486,68
C₃.₈(C₂×He₃.C₃) = C₂×C₃³.₇C₃²	central stem extension (φ=1)	162		C3.8(C2xHe3.C3)	486,69

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