Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 7¹⁺⁴:(3 × 2.S₇)

Name:

7^(1+4):(3x2.S7)

Group order:

508243680 = 2⁵ ⋅ 3³ ⋅ 5 ⋅ 7⁶

Number of classes:

101

InfoText value:

24th maximal subgroup of M, constructed in August 2004 by Thomas Breuer, using a combination of Dixon's algorithm and character theoretic methods

Atlas representations:

2 available

Group constructions in GAP:

AtlasGroup( "7^(1+4):(3x2.S7)" )

Stored class fusions from this table:

M

Stored class fusions to this table:

7¹⁺⁴.2A₇

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