Extensions 1→N→G→Q→1 with N=C₃×C₉ and Q=Dic₃

Direct product G=N×Q with N=C₃×C₉ and Q=Dic₃

		d	ρ	Label	ID
Dic₃×C₃×C₉		108		Dic3xC3xC9	324,91

Semidirect products G=N:Q with N=C₃×C₉ and Q=Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₉)⋊₁Dic₃ = C₃²⋊C₃₆	φ: Dic₃/C₂ → S₃ ⊆ Aut C₃×C₉	36	6	(C3xC9):1Dic3	324,7
(C₃×C₉)⋊₂Dic₃ = He₃.C₁₂	φ: Dic₃/C₂ → S₃ ⊆ Aut C₃×C₉	108	3	(C3xC9):2Dic3	324,15
(C₃×C₉)⋊₃Dic₃ = He₃.₂C₁₂	φ: Dic₃/C₂ → S₃ ⊆ Aut C₃×C₉	108	3	(C3xC9):3Dic3	324,17
(C₃×C₉)⋊₄Dic₃ = C₃²⋊₂Dic₉	φ: Dic₃/C₂ → S₃ ⊆ Aut C₃×C₉	36	6	(C3xC9):4Dic3	324,20
(C₃×C₉)⋊₅Dic₃ = He₃.₃Dic₃	φ: Dic₃/C₂ → S₃ ⊆ Aut C₃×C₉	108	6-	(C3xC9):5Dic3	324,23
(C₃×C₉)⋊₆Dic₃ = He₃⋊Dic₃	φ: Dic₃/C₂ → S₃ ⊆ Aut C₃×C₉	108	6-	(C3xC9):6Dic3	324,24
(C₃×C₉)⋊₇Dic₃ = He₃.₄Dic₃	φ: Dic₃/C₂ → S₃ ⊆ Aut C₃×C₉	108	6-	(C3xC9):7Dic3	324,101
(C₃×C₉)⋊₈Dic₃ = He₃.₅C₁₂	φ: Dic₃/C₂ → S₃ ⊆ Aut C₃×C₉	108	3	(C3xC9):8Dic3	324,102
(C₃×C₉)⋊₉Dic₃ = C₉×C₃⋊Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₃×C₉	108		(C3xC9):9Dic3	324,97
(C₃×C₉)⋊₁₀Dic₃ = C₃×C₉⋊Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₃×C₉	108		(C3xC9):10Dic3	324,96
(C₃×C₉)⋊₁₁Dic₃ = C₃²⋊₅Dic₉	φ: Dic₃/C₆ → C₂ ⊆ Aut C₃×C₉	324		(C3xC9):11Dic3	324,103

Non-split extensions G=N.Q with N=C₃×C₉ and Q=Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₉).₁Dic₃ = C₉⋊C₃₆	φ: Dic₃/C₂ → S₃ ⊆ Aut C₃×C₉	36	6	(C3xC9).1Dic3	324,9
(C₃×C₉).₂Dic₃ = 3_-¹⁺².Dic₃	φ: Dic₃/C₂ → S₃ ⊆ Aut C₃×C₉	108	6-	(C3xC9).2Dic3	324,25
(C₃×C₉).₃Dic₃ = C₂₇⋊C₁₂	φ: Dic₃/C₂ → S₃ ⊆ Aut C₃×C₉	108	6-	(C3xC9).3Dic3	324,12
(C₃×C₉).₄Dic₃ = C₉×Dic₉	φ: Dic₃/C₆ → C₂ ⊆ Aut C₃×C₉	36	2	(C3xC9).4Dic3	324,6
(C₃×C₉).₅Dic₃ = C₃×Dic₂₇	φ: Dic₃/C₆ → C₂ ⊆ Aut C₃×C₉	108	2	(C3xC9).5Dic3	324,10
(C₃×C₉).₆Dic₃ = C₉⋊Dic₉	φ: Dic₃/C₆ → C₂ ⊆ Aut C₃×C₉	324		(C3xC9).6Dic3	324,19
(C₃×C₉).₇Dic₃ = C₂₇⋊Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₃×C₉	324		(C3xC9).7Dic3	324,21

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