Finite Group Databasebeta

← Group #348338

Character table — Group #348338

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11111111222222224444444444444444444444888888888888888888161616161616161632323232
order12222222444444442222224444444488888888224444888888888888888888884444
χ111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11-11-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11-11
χ511111111111111111111-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1
χ611111111111111111111-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1111-1-11
χ811111111111111111111-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-111-1
χ91111111111111111-1-1-1-111-1-1-1-1111111111111-1-11-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ101111111111111111-1-1-1-111-1-1-1-1111111111111-1-11-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-11111111111-1-111-1-1-11-11
χ121111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-111111111-1-111-1-1111-11-1
χ131111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-111-111-1-1-1-1-1-111111111-1-1-1-1-1-111
χ141111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-111-111-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ151111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-111-1-1-1111111-1-1-1-111-1-1-1-111-111-1
χ161111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-111-1-1-1111111-1-1-1-1-1-11111-1-11-1-11
χ17222222222-2-222-22-2222222-2-2-2-2-2-2-2-200000000222-2-2-2000000000000000000000000
χ18222222222-2-222-22-22222-2-2-2-2-2-222-2-200000000-2-2-2222000000000000000000000000
χ19222222222-2-222-22-2-2-2-2-2222222-2-2-2-200000000-2-2222-2000000000000000000000000
χ20222222222-2-222-22-2-2-2-2-2-2-2222222-2-20000000022-2-2-22000000000000000000000000
χ2122222222-222-2-22-22000022000022-2-22222222200-200-2-2-2-2-200000000000000000000
χ2222222222-222-2-22-22000022000022-2-2-2-2-2-2-2-2-2-200-200-2222200000000000000000000
χ2322222222-222-2-22-220000-2-20000-2-2-2-22222-2-2-2-2002002-2-22200000000000000000000
χ2422222222-222-2-22-220000-2-20000-2-2-2-2-2-2-2-2222200200222-2-200000000000000000000
χ2522222222-2-2-2-2-2-2-2-20000220000-2-2220000000000-200200002i2i−2i−2i2i2i−2i−2i000000000000
χ2622222222-2-2-2-2-2-2-2-20000220000-2-2220000000000-20020000−2i−2i2i2i−2i−2i2i2i000000000000
χ2722222222-2-2-2-2-2-2-2-20000-2-2000022220000000000200-200002i2i−2i−2i−2i−2i2i2i000000000000
χ2822222222-2-2-2-2-2-2-2-20000-2-2000022220000000000200-20000−2i−2i2i2i2i2i−2i−2i000000000000
χ29222-2-2-22-202-200-20200002-200002-20022-2-222-2-2000000000000000000i2−i2i2−i2i2−i2i2−i20000
χ30222-2-2-22-202-200-20200002-200002-20022-2-222-2-2000000000000000000−i2i2−i2i2−i2i2−i2i20000
χ31222-2-2-22-202-200-20200002-200002-200-2-222-2-222000000000000000000i2−i2−i2i2i2−i2−i2i20000
χ32222-2-2-22-202-200-20200002-200002-200-2-222-2-222000000000000000000−i2i2i2−i2−i2i2i2−i20000
χ33222-2-2-22-202-200-2020000-220000-220022-2-2-2-222000000000000000000i2−i2i2−i2−i2i2−i2i20000
χ34222-2-2-22-202-200-2020000-220000-220022-2-2-2-222000000000000000000−i2i2−i2i2i2−i2i2−i20000
χ35222-2-2-22-202-200-2020000-220000-2200-2-22222-2-2000000000000000000i2−i2−i2i2−i2i2i2−i20000
χ36222-2-2-22-202-200-2020000-220000-2200-2-22222-2-2000000000000000000−i2i2i2−i2i2−i2−i2i20000
χ372-2-22-2-222222-2-2-22-222-2-20022-2-2002-200002i−2i2i−2i000000002i−2i00002i−2i2i−2i000000000000
χ382-2-22-2-222222-2-2-22-222-2-20022-2-2002-20000−2i2i−2i2i00000000−2i2i0000−2i2i−2i2i000000000000
χ392-2-22-2-222222-2-2-22-2-2-22200-2-222002-200002i−2i2i−2i000000002i−2i0000−2i2i−2i2i000000000000
χ402-2-22-2-222222-2-2-22-2-2-22200-2-222002-20000−2i2i−2i2i00000000−2i2i00002i−2i2i−2i000000000000
χ412-2-22-2-2222-2-2-2-222222-2-200-2-22200-222-22-200000000002-2002-22-20000000000000000
χ422-2-22-2-2222-2-2-2-222222-2-200-2-22200-22-22-220000000000-2200-22-220000000000000000
χ432-2-22-2-2222-2-2-2-2222-2-2220022-2-200-222-22-200000000002-200-22-220000000000000000
χ442-2-22-2-2222-2-2-2-2222-2-2220022-2-200-22-22-220000000000-22002-22-20000000000000000
χ452-2-22-2-222-22222-2-2-2000000000000-2200002i−2i2i−2i2-202-2000−2i2i2i−2i−2i2i0000000000000000
χ462-2-22-2-222-22222-2-2-2000000000000-2200002i−2i2i−2i-220-22000−2i2i−2i2i2i−2i0000000000000000
χ472-2-22-2-222-22222-2-2-2000000000000-220000−2i2i−2i2i2-202-20002i−2i−2i2i2i−2i0000000000000000
χ482-2-22-2-222-22222-2-2-2000000000000-220000−2i2i−2i2i-220-220002i−2i2i−2i−2i2i0000000000000000
χ492-2-22-2-222-2-2-2222-220000000000002-22-22-200002-20-220-220000002-2-22000000000000
χ502-2-22-2-222-2-2-2222-220000000000002-22-22-20000-2202-20-22000000-222-2000000000000
χ512-2-22-2-222-2-2-2222-220000000000002-2-22-2200002-20-2202-2000000-222-2000000000000
χ522-2-22-2-222-2-2-2222-220000000000002-2-22-220000-2202-202-20000002-2-22000000000000
χ53444-4-4-44-40-440040-400004-40000-440000000000000000000000000000000000000000
χ54444-4-4-44-40-440040-40000-4400004-40000000000000000000000000000000000000000
χ5544-444-4-4-44004-40-404-44-4000000000000000000000000000000000000000000000000
χ5644-444-4-4-44004-40-40-44-44000000000000000000000000000000000000000000000000
χ5744-444-4-4-4-400-440400000004i−4i4i−4i000000000000000000000000000000000000000000
χ5844-444-4-4-4-400-44040000000−4i4i−4i4i000000000000000000000000000000000000000000
χ594-444-44-4-4400-440-404-4-44000000000000000000000000000000000000000000000000
χ604-444-44-4-4400-440-40-444-4000000000000000000000000000000000000000000000000
χ614-444-44-4-4-4004-40400000004i−4i−4i4i000000000000000000000000000000000000000000
χ624-444-44-4-4-4004-4040000000−4i4i4i−4i000000000000000000000000000000000000000000
χ634-4-4-4444-404-40040-40000000000000000004i−4i−4i4i000000000000000000000000000000
χ644-4-4-4444-404-40040-4000000000000000000−4i4i4i−4i000000000000000000000000000000
χ654-4-4-4444-40-4400-404000000000000004-4-440000000000000000000000000000000000
χ664-4-4-4444-40-4400-40400000000000000-444-40000000000000000000000000000000000
χ6788-8-8-88-88000000000000000000000000000000000000000000000000000000000000
χ688-88-88-8-88000000000000000000000000000000000000000000000000000000000000

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