Finite Group Databasebeta

← Group #72238498

Character table — Group #72238498

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size11112222228888888888888816161616161616161616161616161616161616163232323232323232323264646464
order1222222222222222444444442222244444444444444424444444448888
χ11111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-111-1-1
χ31111111111111111111111111-1-1111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-11111-1-111
χ51111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111
χ61111111111111111-1-1-1-11111111-1-11111111-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ71111111111111111-1-1-1-111111-1-1111-1-1-1-1-1-11111-1-1-1-1-1-1-11-1-1111111-1-1
χ81111111111111111-1-1-1-111111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111
χ911111111111-1-1-1-1111111111-11-111-1111-1-1-111-1-11111-1-11-1-1-111-1-11-11-1
χ1011111111111-1-1-1-1111111111-11-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-11111-1-1111-1-11
χ1111111111111-1-1-1-1111111111-1-1111-1-1-1-111111-1-11111-1-11-1-1-1-1-111-11-11
χ1211111111111-1-1-1-1111111111-1-11-1-1-1-1-1-1111-1-111-1-1-1-1-1-1111111-1-1-111-1
χ1311111111111-1-1-1-11-1-1-1-11111-11-111-1111-1-1-111-1-1-1-1-1-111-1-111-1-111-111-1
χ1411111111111-1-1-1-11-1-1-1-11111-11-1-1-1-1111-1-1-1-1-111111111-11-1-111-1-1-11-11
χ1511111111111-1-1-1-11-1-1-1-11111-1-1111-1-1-1-111111-1-1-1-1-1-111-1-11111-1-11-1-11
χ1611111111111-1-1-1-11-1-1-1-11111-1-11-1-1-1-1-1-1111-1-111111111-11-1-1-1-1111-11-1
χ1722222222222222220000-2-2-2-2-20000-2000000000022-2-200002-200000000
χ1822222222222222220000-2-2-2-2-20000-20000000000-2-2220000-2200000000
χ1922222222222-2-2-2-220000-2-2-2-2200002000000000022-2-20000-2200000000
χ2022222222222-2-2-2-220000-2-2-2-22000020000000000-2-22200002-200000000
χ212222222222-222-2-2-2000022-2-220022-2000000-2-2220000000-20000000000
χ222222222222-222-2-2-2000022-2-2200-2-2-200000022-2-2000000020000000000
χ232222222222-222-2-2-22222-2-222-20000200000000000000-22-200000000000
χ242222222222-222-2-2-2-2-2-2-2-2-222-200002000000000000002-2200000000000
χ252222222222-2-2-222-2000022-2-2-200222000000-2-2-2-2000000020000000000
χ262222222222-2-2-222-2000022-2-2-200-2-2200000022220000000-20000000000
χ272222222222-2-2-222-22222-2-22220000-2000000000000002-2-200000000000
χ282222222222-2-2-222-2-2-2-2-2-2-22220000-200000000000000-22200000000000
χ29222222-2-2-2-220000-200002-22-20020000002-2-200002i−2i2i−2i000000002i−2i0000
χ30222222-2-2-2-220000-200002-22-20020000002-2-20000−2i2i−2i2i00000000−2i2i0000
χ31222222-2-2-2-220000-200002-22-200-2000000-22200002i−2i2i−2i00000000−2i2i0000
χ32222222-2-2-2-220000-200002-22-200-2000000-2220000−2i2i−2i2i000000002i−2i0000
χ33222222-2-2-2-220000-20000-22-220200002-2-200000002i−2i−2i2i0000002i−2i000000
χ34222222-2-2-2-220000-20000-22-220200002-2-20000000−2i2i2i−2i000000−2i2i000000
χ35222222-2-2-2-220000-20000-22-220-20000-22200000002i−2i−2i2i000000−2i2i000000
χ36222222-2-2-2-220000-20000-22-220-20000-2220000000−2i2i2i−2i0000002i−2i000000
χ37444444-4-4-4-4-40000400004-4-440000000000000000000000000000000000
χ38444444-4-4-4-4-4000040000-444-40000000000000000000000000000000000
χ394444-4-444-4-40004-4000000000022000-22-2-22-20000000000000000000000
χ404444-4-444-4-40004-40000000000-2-20002-222-220000000000000000000000
χ414444-4-444-4-4000-4400000000002-2000-22-22-220000000000000000000000
χ424444-4-444-4-4000-440000000000-220002-22-22-20000000000000000000000
χ434444-4-4-4-44404-400000000000022000-2-22-2-220000000000000000000000
χ444444-4-4-4-44404-4000000000000-2-200022-222-20000000000000000000000
χ454444-4-4-4-4440-440000000000002-2000-2-2222-20000000000000000000000
χ464444-4-4-4-4440-44000000000000-2200022-2-2-220000000000000000000000
χ4788-8-800008-8000000000000000004-400000000000000000000000000000
χ4888-8-800008-800000000000000000-4400000000000000000000000000000
χ4988-8-80000-8800000044-4-400000000000000000000000000000000000000
χ5088-8-80000-88000000-4-44400000000000000000000000000000000000000
χ518-88-8008-800000000000000000000000000004-400000000000000000000
χ528-88-8008-80000000000000000000000000000-4400000000000000000000
χ538-88-800-88000000004-44-400000000000000000000000000000000000000
χ548-88-800-8800000000-44-4400000000000000000000000000000000000000
χ558-8-888-8000000000000000000000000000000004-4000000000000000000
χ568-8-888-800000000000000000000000000000000-44000000000000000000
χ578-8-88-8800000000004-4-4400000000000000000000000000000000000000
χ588-8-88-880000000000-444-400000000000000000000000000000000000000

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