Extensions 1→N→G→Q→1 with N=C₃×C₉ and Q=C₃²

Direct product G=N×Q with N=C₃×C₉ and Q=C₃²

		d	ρ	Label	ID
C₃³×C₉		243		C3^3xC9	243,61

Semidirect products G=N:Q with N=C₃×C₉ and Q=C₃²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₉)⋊₁C₃² = C₃⁴.C₃	φ: C₃²/C₁ → C₃² ⊆ Aut C₃×C₉	27		(C3xC9):1C3^2	243,38
(C₃×C₉)⋊₂C₃² = He₃.C₃²	φ: C₃²/C₁ → C₃² ⊆ Aut C₃×C₉	27	9	(C3xC9):2C3^2	243,57
(C₃×C₉)⋊₃C₃² = He₃⋊C₃²	φ: C₃²/C₁ → C₃² ⊆ Aut C₃×C₉	27	9	(C3xC9):3C3^2	243,58
(C₃×C₉)⋊₄C₃² = 3_-¹⁺⁴	φ: C₃²/C₁ → C₃² ⊆ Aut C₃×C₉	27	9	(C3xC9):4C3^2	243,66
(C₃×C₉)⋊₅C₃² = C₃×C₃²⋊C₉	φ: C₃²/C₃ → C₃ ⊆ Aut C₃×C₉	81		(C3xC9):5C3^2	243,32
(C₃×C₉)⋊₆C₃² = C₃×He₃.C₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₃×C₉	81		(C3xC9):6C3^2	243,52
(C₃×C₉)⋊₇C₃² = C₃×He₃⋊C₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₃×C₉	81		(C3xC9):7C3^2	243,53
(C₃×C₉)⋊₈C₃² = C₃²×3_-¹⁺²	φ: C₃²/C₃ → C₃ ⊆ Aut C₃×C₉	81		(C3xC9):8C3^2	243,63
(C₃×C₉)⋊₉C₃² = C₃×C₉○He₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₃×C₉	81		(C3xC9):9C3^2	243,64

Non-split extensions G=N.Q with N=C₃×C₉ and Q=C₃²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₉).₁C₃² = C₂₇⋊C₉	φ: C₃²/C₁ → C₃² ⊆ Aut C₃×C₉	27	9	(C3xC9).1C3^2	243,22
(C₃×C₉).₂C₃² = C₃².He₃	φ: C₃²/C₁ → C₃² ⊆ Aut C₃×C₉	27	9	(C3xC9).2C3^2	243,28
(C₃×C₉).₃C₃² = C₃².₅He₃	φ: C₃²/C₁ → C₃² ⊆ Aut C₃×C₉	27	9	(C3xC9).3C3^2	243,29
(C₃×C₉).₄C₃² = C₃².₆He₃	φ: C₃²/C₁ → C₃² ⊆ Aut C₃×C₉	27	9	(C3xC9).4C3^2	243,30
(C₃×C₉).₅C₃² = C₉⋊He₃	φ: C₃²/C₁ → C₃² ⊆ Aut C₃×C₉	81		(C3xC9).5C3^2	243,39
(C₃×C₉).₆C₃² = C₃².₂₃C₃³	φ: C₃²/C₁ → C₃² ⊆ Aut C₃×C₉	81		(C3xC9).6C3^2	243,40
(C₃×C₉).₇C₃² = C₉⋊3_-¹⁺²	φ: C₃²/C₁ → C₃² ⊆ Aut C₃×C₉	81		(C3xC9).7C3^2	243,41
(C₃×C₉).₈C₃² = C₃³.₃₁C₃²	φ: C₃²/C₁ → C₃² ⊆ Aut C₃×C₉	81		(C3xC9).8C3^2	243,42
(C₃×C₉).₉C₃² = C₉²⋊₇C₃	φ: C₃²/C₁ → C₃² ⊆ Aut C₃×C₉	81		(C3xC9).9C3^2	243,43
(C₃×C₉).₁₀C₃² = C₉²⋊₄C₃	φ: C₃²/C₁ → C₃² ⊆ Aut C₃×C₉	81		(C3xC9).10C3^2	243,44
(C₃×C₉).₁₁C₃² = C₉²⋊₅C₃	φ: C₃²/C₁ → C₃² ⊆ Aut C₃×C₉	81		(C3xC9).11C3^2	243,45
(C₃×C₉).₁₂C₃² = C₉²⋊₈C₃	φ: C₃²/C₁ → C₃² ⊆ Aut C₃×C₉	81		(C3xC9).12C3^2	243,46
(C₃×C₉).₁₃C₃² = C₉²⋊₉C₃	φ: C₃²/C₁ → C₃² ⊆ Aut C₃×C₉	81		(C3xC9).13C3^2	243,47
(C₃×C₉).₁₄C₃² = C₃².C₃³	φ: C₃²/C₁ → C₃² ⊆ Aut C₃×C₉	27	9	(C3xC9).14C3^2	243,59
(C₃×C₉).₁₅C₃² = C₉.₂He₃	φ: C₃²/C₁ → C₃² ⊆ Aut C₃×C₉	27	9	(C3xC9).15C3^2	243,60
(C₃×C₉).₁₆C₃² = C₉²⋊C₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₃×C₉	27	3	(C3xC9).16C3^2	243,25
(C₃×C₉).₁₇C₃² = C₉²⋊₂C₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₃×C₉	27	3	(C3xC9).17C3^2	243,26
(C₃×C₉).₁₈C₃² = C₉².C₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₃×C₉	27	3	(C3xC9).18C3^2	243,27
(C₃×C₉).₁₉C₃² = C₃×C₉⋊C₉	φ: C₃²/C₃ → C₃ ⊆ Aut C₃×C₉	243		(C3xC9).19C3^2	243,33
(C₃×C₉).₂₀C₃² = C₉²⋊₃C₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₃×C₉	81		(C3xC9).20C3^2	243,34
(C₃×C₉).₂₁C₃² = C₉×He₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₃×C₉	81		(C3xC9).21C3^2	243,35
(C₃×C₉).₂₂C₃² = C₉×3_-¹⁺²	φ: C₃²/C₃ → C₃ ⊆ Aut C₃×C₉	81		(C3xC9).22C3^2	243,36
(C₃×C₉).₂₃C₃² = C₃×C₃.He₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₃×C₉	81		(C3xC9).23C3^2	243,54
(C₃×C₉).₂₄C₃² = C₉.₄He₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₃×C₉	27	3	(C3xC9).24C3^2	243,16
(C₃×C₉).₂₅C₃² = C₉.₅He₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₃×C₉	81	3	(C3xC9).25C3^2	243,19
(C₃×C₉).₂₆C₃² = C₉.₆He₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₃×C₉	81	3	(C3xC9).26C3^2	243,20
(C₃×C₉).₂₇C₃² = C₃×C₂₇⋊C₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₃×C₉	81		(C3xC9).27C3^2	243,49
(C₃×C₉).₂₈C₃² = C₂₇○He₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₃×C₉	81	3	(C3xC9).28C3^2	243,50
(C₃×C₉).₂₉C₃² = C₉.He₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₃×C₉	27	3	(C3xC9).29C3^2	243,55
(C₃×C₉).₃₀C₃² = C₂₇⋊₂C₉	central extension (φ=1)	243		(C3xC9).30C3^2	243,11
(C₃×C₉).₃₁C₃² = C₃²⋊C₂₇	central extension (φ=1)	81		(C3xC9).31C3^2	243,12
(C₃×C₉).₃₂C₃² = C₉⋊C₂₇	central extension (φ=1)	243		(C3xC9).32C3^2	243,21

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Extensions 1→N→G→Q→1 with N=C3×C9 and Q=C32

Extensions 1→N→G→Q→1 with N=C₃×C₉ and Q=C₃²