Finite Group Databasebeta

← Group #260285

Character table — Group #260285

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size1111111122222222222244444444448888888888888888888888888881616161616161616161616161616
order12222222444444444444444444444444444444444888888888888888822444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111-1-1-1-1111-1-1111-1-1-1-1111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111-1-1-1-1111-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111
χ711111111111111111111111-1-1-1-1111-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111
χ811111111111111111111111-1-1-1-1111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111111-1-1-1-1
χ911111111-1-1-1-1111111111-1-11111-1-11-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1111-1-1-111-1-111-1-1
χ1011111111-1-1-1-1111111111-1-11111-1-11-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111111-1-1-1-1-111-1-111
χ1111111111-1-1-1-1111111111-1-11111-1-11-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-111111-1-1-1-111
χ1211111111-1-1-1-1111111111-1-11111-1-11-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1111-1-11111-1-1
χ1311111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11-111-1-111-1-111
χ1411111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11-11111-1-111-1-1
χ1511111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111-1-1-111-1-1111111-1-1-1-1-1-1-1-1111111-11-1-1-1-11111-1-1
χ1611111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111-1-1-111-1-111-1-1-1-111111111-1-1-1-111-11-1-111-1-1-1-111
χ17222222222222222-2-2-2-22-2220000-2-2-200-222000022000000000000000000-2-20000000000
χ18222222222222222-2-2-2-22-2220000-2-2-200-2-2-20000-2-2000000000000000000220000000000
χ19222222222222-2-2-22222-2-2-2-2222222-222-200-2-2-2-200000000000000000000000000000000
χ20222222222222-2-2-22222-2-2-2-2-2-2-2-222-2-2-2-200222200000000000000000000000000000000
χ21222222222222-2-2-2-2-2-2-2-22-2-20000-2-220020000000000000000000000002-2002-200000000
χ22222222222222-2-2-2-2-2-2-2-22-2-20000-2-22002000000000000000000000000-2200-2200000000
χ2322222222-2-2-2-2222-2-2-2-22-2-2-2000022-2002220000-2-2000000000000000000-220000000000
χ2422222222-2-2-2-2222-2-2-2-22-2-2-2000022-2002-2-20000220000000000000000002-20000000000
χ2522222222-2-2-2-2-2-2-22222-2-2222222-2-2-2-2-220022-2-200000000000000000000000000000000
χ2622222222-2-2-2-2-2-2-22222-2-222-2-2-2-2-2-2-222200-2-22200000000000000000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222000022200-20000000000000000000000002-200-2200000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222000022200-2000000000000000000000000-22002-200000000
χ29222-22-2-2-222-2-22-2-20000202-200000000002i−2i00002i−2i22−2−222−2−2i2i2−i2−i2i2i2−i2−i200000000000000
χ30222-22-2-2-222-2-22-2-20000202-200000000002i−2i00002i−2i−2−222−2−222−i2−i2i2i2−i2−i2i2i200000000000000
χ31222-22-2-2-222-2-22-2-20000202-20000000000−2i2i0000−2i2i22−2−222−2−2−i2−i2i2i2−i2−i2i2i200000000000000
χ32222-22-2-2-222-2-22-2-20000202-20000000000−2i2i0000−2i2i−2−222−2−222i2i2−i2−i2i2i2−i2−i200000000000000
χ33222-22-2-2-2-2-2222-2-2000020-2200000000002i−2i0000−2i2i22−2−2−2−222i2i2−i2−i2−i2−i2i2i200000000000000
χ34222-22-2-2-2-2-2222-2-2000020-2200000000002i−2i0000−2i2i−2−22222−2−2−i2−i2i2i2i2i2−i2−i200000000000000
χ35222-22-2-2-2-2-2222-2-2000020-220000000000−2i2i00002i−2i22−2−2−2−222−i2−i2i2i2i2i2−i2−i200000000000000
χ36222-22-2-2-2-2-2222-2-2000020-220000000000−2i2i00002i−2i−2−22222−2−2i2i2−i2−i2−i2−i2i2i200000000000000
χ3722-2-2-222-22i−2i2i−2i0002-22-2000022-2-22i−2i02i−2i000000000000000002−22−2i2−i2i2−i200000000002−2i2−i2
χ3822-2-2-222-22i−2i2i−2i0002-22-2000022-2-22i−2i02i−2i00000000000000000−22−22−i2i2−i2i20000000000−22−i2i2
χ3922-2-2-222-22i−2i2i−2i0002-22-20000-2-2222i−2i0−2i2i000000000000000002−22−2i2−i2i2−i20000000000−22−i2i2
χ4022-2-2-222-22i−2i2i−2i0002-22-20000-2-2222i−2i0−2i2i00000000000000000−22−22−i2i2−i2i200000000002−2i2−i2
χ4122-2-2-222-2−2i2i−2i2i0002-22-2000022-2-2−2i2i0−2i2i000000000000000002−22−2−i2i2−i2i200000000002−2−i2i2
χ4222-2-2-222-2−2i2i−2i2i0002-22-2000022-2-2−2i2i0−2i2i00000000000000000−22−22i2−i2i2−i20000000000−22i2−i2
χ4322-2-2-222-2−2i2i−2i2i0002-22-20000-2-222−2i2i02i−2i000000000000000002−22−2−i2i2−i2i20000000000−22i2−i2
χ4422-2-2-222-2−2i2i−2i2i0002-22-20000-2-222−2i2i02i−2i00000000000000000−22−22i2−i2i2−i200000000002−2−i2i2
χ452-2-222-22-2000022-22-2-22-2-2002i−2i2i−2i00200000002i−2i002i−2i2i−2i0000000000000000002-2000000
χ462-2-222-22-2000022-22-2-22-2-2002i−2i2i−2i00200000002i−2i00−2i2i−2i2i000000000000000000-22000000
χ472-2-222-22-2000022-22-2-22-2-200−2i2i−2i2i0020000000−2i2i002i−2i2i−2i000000000000000000-22000000
χ482-2-222-22-2000022-22-2-22-2-200−2i2i−2i2i0020000000−2i2i00−2i2i−2i2i0000000000000000002-2000000
χ492-2-222-22-20000-2-222-2-2222002i−2i2i−2i00-20000000−2i2i0000002-22-200000000000000002i−2i0000
χ502-2-222-22-20000-2-222-2-2222002i−2i2i−2i00-20000000−2i2i000000-22-220000000000000000−2i2i0000
χ512-2-222-22-20000-2-222-2-222200−2i2i−2i2i00-200000002i−2i0000002-22-20000000000000000−2i2i0000
χ522-2-222-22-20000-2-222-2-222200−2i2i−2i2i00-200000002i−2i000000-22-2200000000000000002i−2i0000
χ53444-44-4-4-444-4-4-4440000-40-44000000000000000000000000000000000000000000000000
χ54444-44-4-4-4-4-444-4440000-404-4000000000000000000000000000000000000000000000000
χ5544-44-4-4-444i−4i−4i4i00000000000000000000000000000000000002i−2i−2i2i-222-200000000000000
χ5644-44-4-4-444i−4i−4i4i0000000000000000000000000000000000000−2i2i2i−2i2-2-2200000000000000
χ5744-44-4-4-44−4i4i4i−4i00000000000000000000000000000000000002i−2i−2i2i2-2-2200000000000000
χ5844-44-4-4-44−4i4i4i−4i0000000000000000000000000000000000000−2i2i2i−2i-222-200000000000000
χ5944-4-4-444-44i−4i4i−4i000-44-4400000000−4i4i000000000000000000000000000000000000000000
χ6044-4-4-444-4−4i4i−4i4i000-44-44000000004i−4i000000000000000000000000000000000000000000
χ614-44-4-4-444000000044-4-400004i−4i−4i4i00000000000000000000000000000000000000000000
χ624-44-4-4-444000000044-4-40000−4i4i4i−4i00000000000000000000000000000000000000000000
χ634-44-4-4-4440000000-4-44400000000000000004-40000000000000000000000000000000000
χ644-44-4-4-4440000000-4-4440000000000000000-440000000000000000000000000000000000
χ654-4-444-44-4000044-4-444-4-4400000000-400000000000000000000000000000000000000000
χ664-4-444-44-40000-4-44-444-44-400000000400000000000000000000000000000000000000000
χ674-4-4-444-4400004-440000-40000000000000000000002i2−2i2−2i22i200000000000000000000000000
χ684-4-4-444-4400004-440000-4000000000000000000000−2i22i22i2−2i200000000000000000000000000
χ694-4-4-444-440000-44-400004000000000000000000000000022−22−22220000000000000000000000
χ704-4-4-444-440000-44-4000040000000000000000000000000−222222−220000000000000000000000
χ718-888-88-8-8000000000000000000000000000000000000000000000000000000000000000

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