Finite Group Databasebeta

← Group #295186

Character table — Group #295186

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size1111111144444444444488888888888881616161616161616161616161616161616163232
order12222222444444444444444448888888822444444448888888844
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-11-1-1-1-11-1-11111-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-1111111
χ511111111111111111111-1-11-1-11111111111-1-1-1-1-1-111-1-1-1-11111-1-1
χ611111111111111111111-1-11-1-111111111-1-1-11111-1-1-1-1-1-1-1-1-1-1-111
χ711111111111111111111-1-11-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111
χ811111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111111111-1-1
χ911111111-1-1-1-11-1-11111111-1111111-1-1-1-11-1-11-11-1-11-111-1-111-1-11-1
χ1011111111-1-1-1-11-1-11111111-1111111-1-1-1-1-11-1-11-11-1-1111-1-1-1-111-11
χ1111111111-1-1-1-11-1-11111111-111-1-1-1-111111-1-11-11-1-11-1-1-111-1-111-11
χ1211111111-1-1-1-11-1-11111111-111-1-1-1-11111-11-1-11-11-1-11-1-11111-1-11-1
χ1311111111-1-1-1-11-1-111111-1-1-1-1-11111-1-1-1-11-11-11-1111-1-1-11111-1-1-11
χ1411111111-1-1-1-11-1-111111-1-1-1-1-11111-1-1-1-1-1111-11-11-11-1-111-1-1111-1
χ1511111111-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-111111-11-11-1111-111-1-1-1-1111-1
χ1611111111-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-11111-1111-11-11-1111-1-111-1-1-11
χ17222222222222-2-2-222-2-2-200-200000000000002-2-220000000000000
χ18222222222222-2-2-222-2-2-200-20000000000000-222-20000000000000
χ192222222222-2-2222-2-2-2-2222-2-2-20000000000-200002000000000000
χ202222222222-2-2222-2-2-2-22-2-2-222000000000020000-2000000000000
χ212222222222-2-2-2-2-2-2-222-200200000000002-2000000-220000000000
χ222222222222-2-2-2-2-2-2-222-20020000000000-220000002-20000000000
χ2322222222-2-2222-2-2-2-2-2-22222-2-2000000000020000-2000000000000
χ2422222222-2-2222-2-2-2-2-2-22-2-22220000000000-200002000000000000
χ2522222222-2-222-222-2-222-200-2000000000022000000-2-20000000000
χ2622222222-2-222-222-2-222-200-20000000000-2-2000000220000000000
χ2722222222-2-2-2-2-22222-2-2-2002000000000000022-2-20000000000000
χ2822222222-2-2-2-2-22222-2-2-20020000000000000-2-2220000000000000
χ292-22-22-2-2200002002-22-2-22i−2i02i−2i00002i2i−2i−2i0000000000002-2000000
χ302-22-22-2-2200002002-22-2-22i−2i02i−2i0000−2i−2i2i2i000000000000-22000000
χ312-22-22-2-2200002002-22-2-2−2i2i0−2i2i00002i2i−2i−2i000000000000-22000000
χ322-22-22-2-2200002002-22-2-2−2i2i0−2i2i0000−2i−2i2i2i0000000000002-2000000
χ332-22-22-2-220000200-22-22-22i−2i0−2i2i2i2i−2i−2i000000000000002-200000000
χ342-22-22-2-220000200-22-22-22i−2i0−2i2i−2i−2i2i2i00000000000000-2200000000
χ352-22-22-2-220000200-22-22-2−2i2i02i−2i2i2i−2i−2i00000000000000-2200000000
χ362-22-22-2-220000200-22-22-2−2i2i02i−2i−2i−2i2i2i000000000000002-200000000
χ374444-4-4-4-4004-400000000000002-22-22-22-200000000000000000000
χ384444-4-4-4-4004-40000000000000-22-22-22-2200000000000000000000
χ394444-4-4-4-400-4400000000000002-22-2-22-2200000000000000000000
χ404444-4-4-4-400-440000000000000-22-222-22-200000000000000000000
χ414-44-44-4-440000-4004-4-444000000000000000000000000000000000
χ424-44-44-4-440000-400-444-44000000000000000000000000000000000
χ434-44-4-444-4000004-400000000002i−2i−2i2i2i−2i−2i2i00000000000000000000
χ444-44-4-444-4000004-40000000000−2i2i2i−2i−2i2i2i−2i00000000000000000000
χ454-44-4-444-400000-4400000000002i−2i−2i2i−2i2i2i−2i00000000000000000000
χ464-44-4-444-400000-440000000000−2i2i2i−2i2i−2i−2i2i00000000000000000000
χ474-4-444-44-44i−4i00000000000000000000000000000000000002-22i−2i00
χ484-4-444-44-44i−4i0000000000000000000000000000000000000-22−2i2i00
χ494-4-444-44-4−4i4i00000000000000000000000000000000000002-2−2i2i00
χ504-4-444-44-4−4i4i0000000000000000000000000000000000000-222i−2i00
χ5188-8-888-8-8000000000000000000000000000000000000000000000
χ5288-8-8-8-888000000000000000000000000000000000000000000000
χ538-8-88-88-88000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).