Extensions 1→N→G→Q→1 with N=C₃ and Q=C₆xDic₃

Direct product G=NxQ with N=C₃ and Q=C₆xDic₃

		d	ρ	Label	ID
Dic₃xC₃xC₆		72		Dic3xC3xC6	216,138

Semidirect products G=N:Q with N=C₃ and Q=C₆xDic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₆xDic₃) = C₃xS₃xDic₃	φ: C₆xDic₃/C₃xDic₃ → C₂ ⊆ Aut C₃	24	4	C3:1(C6xDic3)	216,119
C₃:₂(C₆xDic₃) = C₆xC₃:Dic₃	φ: C₆xDic₃/C₆² → C₂ ⊆ Aut C₃	72		C3:2(C6xDic3)	216,143

Non-split extensions G=N.Q with N=C₃ and Q=C₆xDic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₆xDic₃) = C₆xDic₉	φ: C₆xDic₃/C₆² → C₂ ⊆ Aut C₃	72		C3.1(C6xDic3)	216,55
C₃.₂(C₆xDic₃) = C₂xC₃²:C₁₂	φ: C₆xDic₃/C₆² → C₂ ⊆ Aut C₃	72		C3.2(C6xDic3)	216,59
C₃.₃(C₆xDic₃) = C₂xC₉:C₁₂	φ: C₆xDic₃/C₆² → C₂ ⊆ Aut C₃	72		C3.3(C6xDic3)	216,61
C₃.₄(C₆xDic₃) = Dic₃xC₁₈	central extension (φ=1)	72		C3.4(C6xDic3)	216,56

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