Extensions 1→N→G→Q→1 with N=C₃² and Q=C₃xC₆

Direct product G=NxQ with N=C₃² and Q=C₃xC₆

		d	ρ	Label	ID
C₃³xC₆		162		C3^3xC6	162,55

Semidirect products G=N:Q with N=C₃² and Q=C₃xC₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²:(C₃xC₆) = C₃xC₃²:C₆	φ: C₃xC₆/C₃ → C₆ ⊆ Aut C₃²	18	6	C3^2:(C3xC6)	162,34
C₃²:₂(C₃xC₆) = C₆xHe₃	φ: C₃xC₆/C₆ → C₃ ⊆ Aut C₃²	54		C3^2:2(C3xC6)	162,48
C₃²:₃(C₃xC₆) = S₃xC₃³	φ: C₃xC₆/C₃² → C₂ ⊆ Aut C₃²	54		C3^2:3(C3xC6)	162,51
C₃²:₄(C₃xC₆) = C₃²xC₃:S₃	φ: C₃xC₆/C₃² → C₂ ⊆ Aut C₃²	18		C3^2:4(C3xC6)	162,52

Non-split extensions G=N.Q with N=C₃² and Q=C₃xC₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃².₁(C₃xC₆) = C₂xC₃wrC₃	φ: C₃xC₆/C₆ → C₃ ⊆ Aut C₃²	18	3	C3^2.1(C3xC6)	162,28
C₃².₂(C₃xC₆) = C₂xHe₃.C₃	φ: C₃xC₆/C₆ → C₃ ⊆ Aut C₃²	54	3	C3^2.2(C3xC6)	162,29
C₃².₃(C₃xC₆) = C₂xHe₃:C₃	φ: C₃xC₆/C₆ → C₃ ⊆ Aut C₃²	54	3	C3^2.3(C3xC6)	162,30
C₃².₄(C₃xC₆) = C₂xC₃.He₃	φ: C₃xC₆/C₆ → C₃ ⊆ Aut C₃²	54	3	C3^2.4(C3xC6)	162,31
C₃².₅(C₃xC₆) = C₂xC₉oHe₃	φ: C₃xC₆/C₆ → C₃ ⊆ Aut C₃²	54	3	C3^2.5(C3xC6)	162,50
C₃².₆(C₃xC₆) = S₃xC₃xC₉	φ: C₃xC₆/C₃² → C₂ ⊆ Aut C₃²	54		C3^2.6(C3xC6)	162,33
C₃².₇(C₃xC₆) = S₃xHe₃	φ: C₃xC₆/C₃² → C₂ ⊆ Aut C₃²	18	6	C3^2.7(C3xC6)	162,35
C₃².₈(C₃xC₆) = S₃x3_-¹⁺²	φ: C₃xC₆/C₃² → C₂ ⊆ Aut C₃²	18	6	C3^2.8(C3xC6)	162,37
C₃².₉(C₃xC₆) = C₂xC₃²:C₉	central extension (φ=1)	54		C3^2.9(C3xC6)	162,24
C₃².₁₀(C₃xC₆) = C₂xC₉:C₉	central extension (φ=1)	162		C3^2.10(C3xC6)	162,25
C₃².₁₁(C₃xC₆) = C₆x3_-¹⁺²	central extension (φ=1)	54		C3^2.11(C3xC6)	162,49

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