Extensions 1→N→G→Q→1 with N=C₃³ and Q=Dic₃

Direct product G=NxQ with N=C₃³ and Q=Dic₃

		d	ρ	Label	ID
Dic₃xC₃³		108		Dic3xC3^3	324,155

Semidirect products G=N:Q with N=C₃³ and Q=Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃³:₁Dic₃ = He₃:C₁₂	φ: Dic₃/C₂ → S₃ ⊆ Aut C₃³	36	3	C3^3:1Dic3	324,13
C₃³:₂Dic₃ = C₃³:Dic₃	φ: Dic₃/C₂ → S₃ ⊆ Aut C₃³	36	6-	C3^3:2Dic3	324,22
C₃³:₃Dic₃ = C₃xC₃²:C₁₂	φ: Dic₃/C₂ → S₃ ⊆ Aut C₃³	36	6	C3^3:3Dic3	324,92
C₃³:₄Dic₃ = C₃³:₄C₁₂	φ: Dic₃/C₂ → S₃ ⊆ Aut C₃³	108		C3^3:4Dic3	324,98
C₃³:₅Dic₃ = C₃xHe₃:₃C₄	φ: Dic₃/C₂ → S₃ ⊆ Aut C₃³	108		C3^3:5Dic3	324,99
C₃³:₆Dic₃ = He₃:₆Dic₃	φ: Dic₃/C₂ → S₃ ⊆ Aut C₃³	36	6	C3^3:6Dic3	324,104
C₃³:₇Dic₃ = C₃xC₃³:C₄	φ: Dic₃/C₃ → C₄ ⊆ Aut C₃³	12	4	C3^3:7Dic3	324,162
C₃³:₈Dic₃ = C₃⁴:C₄	φ: Dic₃/C₃ → C₄ ⊆ Aut C₃³	36		C3^3:8Dic3	324,163
C₃³:₉Dic₃ = C₃²xC₃:Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₃³	36		C3^3:9Dic3	324,156
C₃³:₁₀Dic₃ = C₃xC₃³:₅C₄	φ: Dic₃/C₆ → C₂ ⊆ Aut C₃³	108		C3^3:10Dic3	324,157
C₃³:₁₁Dic₃ = C₃⁴:₈C₄	φ: Dic₃/C₆ → C₂ ⊆ Aut C₃³	324		C3^3:11Dic3	324,158

Non-split extensions G=N.Q with N=C₃³ and Q=Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃³.₁Dic₃ = C₃²:Dic₉	φ: Dic₃/C₂ → S₃ ⊆ Aut C₃³	108		C3^3.1Dic3	324,8
C₃³.₂Dic₃ = C₃²:₂Dic₉	φ: Dic₃/C₂ → S₃ ⊆ Aut C₃³	36	6	C3^3.2Dic3	324,20
C₃³.₃Dic₃ = C₃xC₉:C₁₂	φ: Dic₃/C₂ → S₃ ⊆ Aut C₃³	36	6	C3^3.3Dic3	324,94
C₃³.₄Dic₃ = C₃³.Dic₃	φ: Dic₃/C₂ → S₃ ⊆ Aut C₃³	108		C3^3.4Dic3	324,100
C₃³.₅Dic₃ = C₃²:₃Dic₉	φ: Dic₃/C₃ → C₄ ⊆ Aut C₃³	36	4	C3^3.5Dic3	324,112
C₃³.₆Dic₃ = C₃²xDic₉	φ: Dic₃/C₆ → C₂ ⊆ Aut C₃³	108		C3^3.6Dic3	324,90
C₃³.₇Dic₃ = C₃xC₉:Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₃³	108		C3^3.7Dic3	324,96
C₃³.₈Dic₃ = C₃²:₅Dic₉	φ: Dic₃/C₆ → C₂ ⊆ Aut C₃³	324		C3^3.8Dic3	324,103

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