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

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

		d	ρ	Label	ID
C₃×He₃⋊C₂		27		C3xHe3:C2	162,41

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(He₃⋊C₂) = He₃⋊₅S₃	φ: He₃⋊C₂/He₃ → C₂ ⊆ Aut C₃	18	6	C3:(He3:C2)	162,46

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(He₃⋊C₂) = C₃²⋊₂D₉	φ: He₃⋊C₂/He₃ → C₂ ⊆ Aut C₃	18	6	C3.1(He3:C2)	162,17
C₃.₂(He₃⋊C₂) = C₃³⋊S₃	φ: He₃⋊C₂/He₃ → C₂ ⊆ Aut C₃	9	6+	C3.2(He3:C2)	162,19
C₃.₃(He₃⋊C₂) = He₃.₃S₃	φ: He₃⋊C₂/He₃ → C₂ ⊆ Aut C₃	27	6+	C3.3(He3:C2)	162,20
C₃.₄(He₃⋊C₂) = He₃⋊S₃	φ: He₃⋊C₂/He₃ → C₂ ⊆ Aut C₃	27	6+	C3.4(He3:C2)	162,21
C₃.₅(He₃⋊C₂) = 3_-¹⁺².S₃	φ: He₃⋊C₂/He₃ → C₂ ⊆ Aut C₃	27	6+	C3.5(He3:C2)	162,22

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