Extensions 1→N→G→Q→1 with N=C₂² and Q=C₃xC₆²

Direct product G=NxQ with N=C₂² and Q=C₃xC₆²

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

Semidirect products G=N:Q with N=C₂² and Q=C₃xC₆²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²:(C₃xC₆²) = A₄xC₆²	φ: C₃xC₆²/C₆² → C₃ ⊆ Aut C₂²	108		C2^2:(C3xC6^2)	432,770
C₂²:₂(C₃xC₆²) = D₄xC₃²xC₆	φ: C₃xC₆²/C₃²xC₆ → C₂ ⊆ Aut C₂²	216		C2^2:2(C3xC6^2)	432,731

Non-split extensions G=N.Q with N=C₂² and Q=C₃xC₆²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₃xC₆²) = C₄oD₄xC₃³	φ: C₃xC₆²/C₃²xC₆ → C₂ ⊆ Aut C₂²	216		C2^2.(C3xC6^2)	432,733
C₂².₂(C₃xC₆²) = C₂²:C₄xC₃³	central extension (φ=1)	216		C2^2.2(C3xC6^2)	432,513
C₂².₃(C₃xC₆²) = C₄:C₄xC₃³	central extension (φ=1)	432		C2^2.3(C3xC6^2)	432,514
C₂².₄(C₃xC₆²) = Q₈xC₃²xC₆	central extension (φ=1)	432		C2^2.4(C3xC6^2)	432,732

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