Character Table info for 72:(3 × 2A4)
-
Name:
-
7^2:(3x2A4)
-
Group order:
-
3528 = 23 ⋅ 32 ⋅ 72
-
Number of classes:
-
27
-
InfoText value:
-
origin: Ostermann, tests: 1.o.r., pow[2,3,7],
Sylow 7 normalizer in sporadic Conway group Co1 and in F4(2)
-
Group constructions in GAP:
-
AtlasSubgroup( "Co1", 21 )
,
PrimitiveGroup( 49, 27 )
,
TransitiveGroup( 28, 254 )
-
Stored class fusions from this table:
-
2E6(2),
3D4(2).3,
72:(3 × 2S4),
(72:(3 × 2A4) × L2(7)).2,
Co1,
F4(2)
-
Stored class fusions to this table:
-
2 × 72:(3 × 2A4)