Extensions 1→N→G→Q→1 with N=C₉² and Q=C₃

Direct product G=N×Q with N=C₉² and Q=C₃

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

Semidirect products G=N:Q with N=C₉² and Q=C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉²⋊₁C₃ = C₉²⋊C₃	φ: C₃/C₁ → C₃ ⊆ Aut C₉²	27	3	C9^2:1C3	243,25
C₉²⋊₂C₃ = C₉²⋊₂C₃	φ: C₃/C₁ → C₃ ⊆ Aut C₉²	27	3	C9^2:2C3	243,26
C₉²⋊₃C₃ = C₉²⋊₃C₃	φ: C₃/C₁ → C₃ ⊆ Aut C₉²	81		C9^2:3C3	243,34
C₉²⋊₄C₃ = C₉²⋊₄C₃	φ: C₃/C₁ → C₃ ⊆ Aut C₉²	81		C9^2:4C3	243,44
C₉²⋊₅C₃ = C₉²⋊₅C₃	φ: C₃/C₁ → C₃ ⊆ Aut C₉²	81		C9^2:5C3	243,45
C₉²⋊₆C₃ = C₉×3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Aut C₉²	81		C9^2:6C3	243,36
C₉²⋊₇C₃ = C₉²⋊₇C₃	φ: C₃/C₁ → C₃ ⊆ Aut C₉²	81		C9^2:7C3	243,43
C₉²⋊₈C₃ = C₉²⋊₈C₃	φ: C₃/C₁ → C₃ ⊆ Aut C₉²	81		C9^2:8C3	243,46
C₉²⋊₉C₃ = C₉²⋊₉C₃	φ: C₃/C₁ → C₃ ⊆ Aut C₉²	81		C9^2:9C3	243,47

Non-split extensions G=N.Q with N=C₉² and Q=C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉².₁C₃ = C₂₇⋊₂C₉	φ: C₃/C₁ → C₃ ⊆ Aut C₉²	243		C9^2.1C3	243,11
C₉².₂C₃ = C₉².C₃	φ: C₃/C₁ → C₃ ⊆ Aut C₉²	27	3	C9^2.2C3	243,27
C₉².₃C₃ = C₉⋊C₂₇	φ: C₃/C₁ → C₃ ⊆ Aut C₉²	243		C9^2.3C3	243,21

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