Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for O10+(2)

Name:
O10+(2)
Group order:
23499295948800 = 220 ⋅ 35 ⋅ 52 ⋅ 7 ⋅ 17 ⋅ 31
Number of classes:
97
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r.
Some maximal subgroups:
  Order Index Structure Name
1 47377612800 496 S8(2) S8(2)
2 44590694400 527 28:O8+(2) 2^8:O8+(2)
3 10239344640 2295 210:L5(2) 2^10:L5(2)
4 10239344640 2295 210:L5(2) O10+(2)M4
5 1184440320 19840 (3 × O8−(2)):2 (3xO8-(2)):2
8 3110400 7555072 (A5 × U4(2)):2 (A5xU4(2)):2
Available Brauer tables:
p  
2 dec. matrix (PDF)
3 dec. matrix (PDF)
5 dec. matrix (PDF)
7 dec. matrix (PDF)
17 dec. matrix (PDF)
31 dec. matrix (PDF)
Atlas representations:
24 available
Group constructions in GAP:
AtlasGroup( "O10+(2)" ), POmega( 1, 10, 2 ), PrimitiveGroup( 496, 4 ), PrimitiveGroup( 527, 1 ), PrimitiveGroup( 2295, 2 )
Stored class fusions from this table:
O10+(2).2
Stored class fusions to this table:
28:O8+(2), 210:L5(2), 210+16.O10+(2), (3 × O8−(2)):2, (A5 × U4(2)):2, 210:L5(2), S8(2)

File created automatically by GAP on 13-Mar-2024.