Extensions 1→N→G→Q→1 with N=C₃:Dic₃ and Q=C₆

Direct product G=NxQ with N=C₃:Dic₃ and Q=C₆

		d	ρ	Label	ID
C₆xC₃:Dic₃		72		C6xC3:Dic3	216,143

Semidirect products G=N:Q with N=C₃:Dic₃ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₃:Dic₃:C₆ = He₃:₆D₄	φ: C₆/C₁ → C₆ ⊆ Out C₃:Dic₃	36	6	C3:Dic3:C6	216,60
C₃:Dic₃:₂C₆ = C₄xC₃²:C₆	φ: C₆/C₂ → C₃ ⊆ Out C₃:Dic₃	36	6	C3:Dic3:2C6	216,50
C₃:Dic₃:₃C₆ = C₂xC₃²:C₁₂	φ: C₆/C₂ → C₃ ⊆ Out C₃:Dic₃	72		C3:Dic3:3C6	216,59
C₃:Dic₃:₄C₆ = C₃xS₃xDic₃	φ: C₆/C₃ → C₂ ⊆ Out C₃:Dic₃	24	4	C3:Dic3:4C6	216,119
C₃:Dic₃:₅C₆ = C₃xD₆:S₃	φ: C₆/C₃ → C₂ ⊆ Out C₃:Dic₃	24	4	C3:Dic3:5C6	216,121
C₃:Dic₃:₆C₆ = C₃xC₃²:₇D₄	φ: C₆/C₃ → C₂ ⊆ Out C₃:Dic₃	36		C3:Dic3:6C6	216,144
C₃:Dic₃:₇C₆ = C₁₂xC₃:S₃	φ: trivial image	72		C3:Dic3:7C6	216,141

Non-split extensions G=N.Q with N=C₃:Dic₃ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₃:Dic₃.C₆ = He₃:₃Q₈	φ: C₆/C₁ → C₆ ⊆ Out C₃:Dic₃	72	6-	C3:Dic3.C6	216,49
C₃:Dic₃.₂C₆ = C₃xC₃²:₂C₈	φ: C₆/C₃ → C₂ ⊆ Out C₃:Dic₃	24	4	C3:Dic3.2C6	216,117
C₃:Dic₃.₃C₆ = C₃xC₃²:₂Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₃:Dic₃	24	4	C3:Dic3.3C6	216,123
C₃:Dic₃.₄C₆ = C₃xC₃²:₄Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₃:Dic₃	72		C3:Dic3.4C6	216,140

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