Extensions 1→N→G→Q→1 with N=C₆ and Q=He₃.C₃

Direct product G=N×Q with N=C₆ and Q=He₃.C₃

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

Non-split extensions G=N.Q with N=C₆ and Q=He₃.C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(He₃.C₃) = C₂×C₃³.C₃²	central extension (φ=1)	162		C6.1(He3.C3)	486,64
C₆.₂(He₃.C₃) = C₂×C₃³.₃C₃²	central extension (φ=1)	162		C6.2(He3.C3)	486,65
C₆.₃(He₃.C₃) = C₂×C₃².₂₇He₃	central extension (φ=1)	162		C6.3(He3.C3)	486,66
C₆.₄(He₃.C₃) = C₂×C₃².₂₉He₃	central extension (φ=1)	162		C6.4(He3.C3)	486,68
C₆.₅(He₃.C₃) = C₂×C₃³.₇C₃²	central extension (φ=1)	162		C6.5(He3.C3)	486,69
C₆.₆(He₃.C₃) = C₂×C₃².₁₉He₃	central extension (φ=1)	162		C6.6(He3.C3)	486,74
C₆.₇(He₃.C₃) = C₂×He₃⋊C₉	central extension (φ=1)	162		C6.7(He3.C3)	486,77
C₆.₈(He₃.C₃) = C₂×3_-¹⁺²⋊C₉	central extension (φ=1)	162		C6.8(He3.C3)	486,78

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