Extensions 1→N→G→Q→1 with N=C₃² and Q=C₂³xC₆

Direct product G=NxQ with N=C₃² and Q=C₂³xC₆

		d	ρ	Label	ID
C₂xC₆³		432		C2xC6^3	432,775

Semidirect products G=N:Q with N=C₃² and Q=C₂³xC₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²:(C₂³xC₆) = C₂³xC₃²:C₆	φ: C₂³xC₆/C₂³ → C₆ ⊆ Aut C₃²	72		C3^2:(C2^3xC6)	432,558
C₃²:₂(C₂³xC₆) = S₃²xC₂xC₆	φ: C₂³xC₆/C₂xC₆ → C₂² ⊆ Aut C₃²	48		C3^2:2(C2^3xC6)	432,767
C₃²:₃(C₂³xC₆) = C₂⁴xHe₃	φ: C₂³xC₆/C₂⁴ → C₃ ⊆ Aut C₃²	144		C3^2:3(C2^3xC6)	432,563
C₃²:₄(C₂³xC₆) = S₃xC₂xC₆²	φ: C₂³xC₆/C₂²xC₆ → C₂ ⊆ Aut C₃²	144		C3^2:4(C2^3xC6)	432,772
C₃²:₅(C₂³xC₆) = C₃:S₃xC₂²xC₆	φ: C₂³xC₆/C₂²xC₆ → C₂ ⊆ Aut C₃²	144		C3^2:5(C2^3xC6)	432,773

Non-split extensions G=N.Q with N=C₃² and Q=C₂³xC₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃².(C₂³xC₆) = C₂⁴x3_-¹⁺²	φ: C₂³xC₆/C₂⁴ → C₃ ⊆ Aut C₃²	144		C3^2.(C2^3xC6)	432,564
C₃².₂(C₂³xC₆) = S₃xC₂²xC₁₈	φ: C₂³xC₆/C₂²xC₆ → C₂ ⊆ Aut C₃²	144		C3^2.2(C2^3xC6)	432,557

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