Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 2.A12

Name:
2.A12
Group order:
479001600 = 210 ⋅ 35 ⋅ 52 ⋅ 7 ⋅ 11
Number of classes:
65
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7,11]
Maximal subgroups:
  Order Index Structure Name
1 39916800 12 2.A11 2.A11
2 7257600 66 Isoclinic(2.A10.2) Isoclinic(2.A10.2)
3 2177280 220 (2.A9 × 3).2 (2.A9x3).2
4 1036800 462 2.(A6 × A6).22 2.(A6xA6).2^2
5 967680 495 2.(A8 × A4).2 2.(A8xA4).2
6 604800 792 2.(A7 × A5).2 2.(A7xA5).2
7 190080 2520 2.M12 2.M12
8 190080 2520 2.M12 2.A12M8
9 82944 5775 21+6−.33.S4 2^(1+6)_-.3^3.S4
10 46080 10395 2.25.S6 2.2^5.S6
11 31104 15400 2.34.23.S4 2.3^4.2^3.S4
Available Brauer tables:
p  
2 dec. matrix (PDF)
3 dec. matrix (PDF)
5 dec. matrix (PDF)
7 dec. matrix (PDF)
11 dec. matrix (PDF)
Atlas representations:
5 available
Group constructions in GAP:
AtlasGroup( "2.A12" )
Stored class fusions from this table:
2.A12.2, A12
Stored class fusions to this table:
2.25.S6, 2.34.23.S4, 2.(A6 × A6).22, 2.(A7 × A5).2, 2.(A8 × A4).2, 2.A11, 2.M12, 2.M12, 21+6−.33.S4, (2.A9 × 3).2, Isoclinic(2.A10.2)

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