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

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

		d	ρ	Label	ID
C₆×C₃.He₃		162		C6xC3.He3	486,213

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₂×C₃.He₃) = S₃×C₃.He₃	φ: C₂×C₃.He₃/C₃.He₃ → C₂ ⊆ Aut C₃	54	6	C3:(C2xC3.He3)	486,124

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₂×C₃.He₃) = C₂×C₃².₂₀He₃	central extension (φ=1)	162		C3.1(C2xC3.He3)	486,75
C₃.₂(C₂×C₃.He₃) = C₂×3_-¹⁺²⋊C₉	central extension (φ=1)	162		C3.2(C2xC3.He3)	486,78
C₃.₃(C₂×C₃.He₃) = C₂×C₃³.₃C₃²	central stem extension (φ=1)	162		C3.3(C2xC3.He3)	486,65
C₃.₄(C₂×C₃.He₃) = C₂×C₃².₂₈He₃	central stem extension (φ=1)	162		C3.4(C2xC3.He3)	486,67
C₃.₅(C₂×C₃.He₃) = C₂×C₃².₂₉He₃	central stem extension (φ=1)	162		C3.5(C2xC3.He3)	486,68

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