Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂²xC₃²:C₆

Direct product G=NxQ with N=C₂ and Q=C₂²xC₃²:C₆

		d	ρ	Label	ID
C₂³xC₃²:C₆		72		C2^3xC3^2:C6	432,558

Non-split extensions G=N.Q with N=C₂ and Q=C₂²xC₃²:C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₂²xC₃²:C₆) = C₂xC₄xC₃²:C₆	central extension (φ=1)	72		C2.1(C2^2xC3^2:C6)	432,349
C₂.₂(C₂²xC₃²:C₆) = C₂²xC₃²:C₁₂	central extension (φ=1)	144		C2.2(C2^2xC3^2:C6)	432,376
C₂.₃(C₂²xC₃²:C₆) = C₂xHe₃:₃Q₈	central stem extension (φ=1)	144		C2.3(C2^2xC3^2:C6)	432,348
C₂.₄(C₂²xC₃²:C₆) = C₂xHe₃:₄D₄	central stem extension (φ=1)	72		C2.4(C2^2xC3^2:C6)	432,350
C₂.₅(C₂²xC₃²:C₆) = C₆².₃₆D₆	central stem extension (φ=1)	72	6	C2.5(C2^2xC3^2:C6)	432,351
C₂.₆(C₂²xC₃²:C₆) = D₄xC₃²:C₆	central stem extension (φ=1)	36	12+	C2.6(C2^2xC3^2:C6)	432,360
C₂.₇(C₂²xC₃²:C₆) = C₆².₁₃D₆	central stem extension (φ=1)	72	12-	C2.7(C2^2xC3^2:C6)	432,361
C₂.₈(C₂²xC₃²:C₆) = Q₈xC₃²:C₆	central stem extension (φ=1)	72	12-	C2.8(C2^2xC3^2:C6)	432,368
C₂.₉(C₂²xC₃²:C₆) = (Q₈xHe₃):C₂	central stem extension (φ=1)	72	12+	C2.9(C2^2xC3^2:C6)	432,369
C₂.₁₀(C₂²xC₃²:C₆) = C₂xHe₃:₆D₄	central stem extension (φ=1)	72		C2.10(C2^2xC3^2:C6)	432,377

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