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

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

		d	ρ	Label	ID
C₃×C₉²		243		C3xC9^2	243,31

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₉)⋊₁C₉ = C₃.C₉²	φ: C₉/C₃ → C₃ ⊆ Aut C₃×C₉	243		(C3xC9):1C9	243,2
(C₃×C₉)⋊₂C₉ = C₃².₁₉He₃	φ: C₉/C₃ → C₃ ⊆ Aut C₃×C₉	81		(C3xC9):2C9	243,14
(C₃×C₉)⋊₃C₉ = C₃².₂₀He₃	φ: C₉/C₃ → C₃ ⊆ Aut C₃×C₉	81		(C3xC9):3C9	243,15
(C₃×C₉)⋊₄C₉ = C₃×C₉⋊C₉	φ: C₉/C₃ → C₃ ⊆ Aut C₃×C₉	243		(C3xC9):4C9	243,33
(C₃×C₉)⋊₅C₉ = C₉²⋊₃C₃	φ: C₉/C₃ → C₃ ⊆ Aut C₃×C₉	81		(C3xC9):5C9	243,34

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₉).₁C₉ = C₂₇⋊₂C₉	φ: C₉/C₃ → C₃ ⊆ Aut C₃×C₉	243		(C3xC9).1C9	243,11
(C₃×C₉).₂C₉ = C₃²⋊C₂₇	φ: C₉/C₃ → C₃ ⊆ Aut C₃×C₉	81		(C3xC9).2C9	243,12
(C₃×C₉).₃C₉ = C₉.₄He₃	φ: C₉/C₃ → C₃ ⊆ Aut C₃×C₉	27	3	(C3xC9).3C9	243,16
(C₃×C₉).₄C₉ = C₉⋊C₂₇	φ: C₉/C₃ → C₃ ⊆ Aut C₃×C₉	243		(C3xC9).4C9	243,21
(C₃×C₉).₅C₉ = C₈₁⋊C₃	φ: C₉/C₃ → C₃ ⊆ Aut C₃×C₉	81	3	(C3xC9).5C9	243,24
(C₃×C₉).₆C₉ = C₃×C₂₇⋊C₃	φ: C₉/C₃ → C₃ ⊆ Aut C₃×C₉	81		(C3xC9).6C9	243,49

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