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

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

		d	ρ	Label	ID
Dic₃×C₃³		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 = C₃×C₃²⋊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 = C₃×He₃⋊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 = C₃×C₃³⋊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 = C₃²×C₃⋊Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₃³	36		C3^3:9Dic3	324,156
C₃³⋊₁₀Dic₃ = C₃×C₃³⋊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 = C₃×C₉⋊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 = C₃²×Dic₉	φ: Dic₃/C₆ → C₂ ⊆ Aut C₃³	108		C3^3.6Dic3	324,90
C₃³.₇Dic₃ = C₃×C₉⋊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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