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

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

		d	ρ	Label	ID
C₃×C₉⋊C₉		243		C3xC9:C9	243,33

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₉⋊C₉⋊₁C₃ = C₃².He₃	φ: C₃/C₁ → C₃ ⊆ Out C₉⋊C₉	27	9	C9:C9:1C3	243,28
C₉⋊C₉⋊₂C₃ = C₃².₆He₃	φ: C₃/C₁ → C₃ ⊆ Out C₉⋊C₉	27	9	C9:C9:2C3	243,30
C₉⋊C₉⋊₃C₃ = C₉⋊3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Out C₉⋊C₉	81		C9:C9:3C3	243,41
C₉⋊C₉⋊₄C₃ = C₃³.₃₁C₃²	φ: C₃/C₁ → C₃ ⊆ Out C₉⋊C₉	81		C9:C9:4C3	243,42
C₉⋊C₉⋊₅C₃ = C₉²⋊₇C₃	φ: C₃/C₁ → C₃ ⊆ Out C₉⋊C₉	81		C9:C9:5C3	243,43
C₉⋊C₉⋊₆C₃ = C₉²⋊₄C₃	φ: C₃/C₁ → C₃ ⊆ Out C₉⋊C₉	81		C9:C9:6C3	243,44
C₉⋊C₉⋊₇C₃ = C₉²⋊₅C₃	φ: C₃/C₁ → C₃ ⊆ Out C₉⋊C₉	81		C9:C9:7C3	243,45
C₉⋊C₉⋊₈C₃ = C₉²⋊₈C₃	φ: C₃/C₁ → C₃ ⊆ Out C₉⋊C₉	81		C9:C9:8C3	243,46
C₉⋊C₉⋊₉C₃ = C₉²⋊₉C₃	φ: C₃/C₁ → C₃ ⊆ Out C₉⋊C₉	81		C9:C9:9C3	243,47
C₉⋊C₉⋊₁₀C₃ = C₉²⋊₃C₃	φ: trivial image	81		C9:C9:10C3	243,34
C₉⋊C₉⋊₁₁C₃ = C₉×3_-¹⁺²	φ: trivial image	81		C9:C9:11C3	243,36

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₉⋊C₉.₁C₃ = C₂₇⋊C₉	φ: C₃/C₁ → C₃ ⊆ Out C₉⋊C₉	27	9	C9:C9.1C3	243,22
C₉⋊C₉.₂C₃ = C₃².₅He₃	φ: C₃/C₁ → C₃ ⊆ Out C₉⋊C₉	27	9	C9:C9.2C3	243,29

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