Finite Group Databasebeta

← Group #448248

Character table — Group #448248

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size1111111122222222222244448888888888888888888888888888881616161616161616161616161616
order12222222222222222222444444444444444444444444444444444444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111
χ5111111111111111111111111-1-1-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-1
χ6111111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-11-1-11-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-111-11111-1-1-1-1
χ911111111111111111111-1-1-1-11111111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ1011111111111111111111-1-1-1-11111111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111
χ1111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111
χ1211111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-111-1-1
χ1311111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-111-111-1-1-1-111
χ1411111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-111-1-1-11111-1-1
χ1511111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111111-1-11-1-11111-1-1
χ1611111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1111-1-1111-1-1-1-111
χ1722222222222-2-2-2-2-2-2-2-22222222-2-2000000-2-20000000000000000002-2000000000000
χ1822222222222-2-2-2-2-2-2-2-222222-2-222000000-2-2000000000000000000-22000000000000
χ1922222222222-2-2-2-2-2-2-2-22-2-2-2-222-2-200000022000000000000000000-22000000000000
χ2022222222222-2-2-2-2-2-2-2-22-2-2-2-2-2-222000000220000000000000000002-2000000000000
χ2122222222-2-2-222-2-222-2-2-222-2-200000000222-2-2-200000000000000000002-2000000000
χ2222222222-2-2-222-2-222-2-2-222-2-200000000-2-22-2220000000000000000000-22000000000
χ2322222222-2-2-222-2-222-2-2-2-2-2220000000022-22-2-20000000000000000000-22000000000
χ2422222222-2-2-222-2-222-2-2-2-2-22200000000-2-2-222200000000000000000002-2000000000
χ2522222222-2-2-2-2-222-2-222-222-2-2000022-2-200-2200000000000000000000200-200000000
χ2622222222-2-2-2-2-222-2-222-222-2-20000-2-22200-2200000000000000000000-200200000000
χ2722222222-2-2-2-2-222-2-222-2-2-222000022-2-2002-200000000000000000000-200200000000
χ2822222222-2-2-2-2-222-2-222-2-2-2220000-2-222002-200000000000000000000200-200000000
χ29222-2-2-22-222-22-2-2-22-222-20000000000002i−2i002i−2i000000002i2i−2i−2i00000000002-2000000
χ30222-2-2-22-222-22-2-2-22-222-20000000000002i−2i002i−2i00000000−2i−2i2i2i0000000000-22000000
χ31222-2-2-22-222-22-2-2-22-222-2000000000000−2i2i00−2i2i000000002i2i−2i−2i0000000000-22000000
χ32222-2-2-22-222-22-2-2-22-222-2000000000000−2i2i00−2i2i00000000−2i−2i2i2i00000000002-2000000
χ33222-2-2-22-2-2-222-2222-2-2-220000000000002i−2i00−2i2i00000000000022-2-2000000002i−2i0000
χ34222-2-2-22-2-2-222-2222-2-2-220000000000002i−2i00−2i2i000000000000-2-22200000000−2i2i0000
χ35222-2-2-22-2-2-222-2222-2-2-22000000000000−2i2i002i−2i00000000000022-2-200000000−2i2i0000
χ36222-2-2-22-2-2-222-2222-2-2-22000000000000−2i2i002i−2i000000000000-2-222000000002i−2i0000
χ372-2-222-22-22-22-2-22-2222-2-2000000002i−2i2i−2i0000000000000000002i−2i2i−2i0000000000002-2
χ382-2-222-22-22-22-2-22-2222-2-2000000002i−2i2i−2i000000000000000000−2i2i−2i2i000000000000-22
χ392-2-222-22-22-22-2-22-2222-2-200000000−2i2i−2i2i0000000000000000002i−2i2i−2i000000000000-22
χ402-2-222-22-22-22-2-22-2222-2-200000000−2i2i−2i2i000000000000000000−2i2i−2i2i0000000000002-2
χ412-2-222-22-2-22-2222-2-2-22-22000000002i−2i−2i2i000000000000002-22-2000000000000002i−2i00
χ422-2-222-22-2-22-2222-2-2-22-22000000002i−2i−2i2i00000000000000-22-2200000000000000−2i2i00
χ432-2-222-22-2-22-2222-2-2-22-2200000000−2i2i2i−2i000000000000002-22-200000000000000−2i2i00
χ442-2-222-22-2-22-2222-2-2-22-2200000000−2i2i2i−2i00000000000000-22-22000000000000002i−2i00
χ452-2-2-2-2222-2222-2-22-222-2-200002i−2i2i−2i000000000022-2-200002i−2i−2i2i000000000000000000
χ462-2-2-2-2222-2222-2-22-222-2-200002i−2i2i−2i0000000000-2-2220000−2i2i2i−2i000000000000000000
χ472-2-2-2-2222-2222-2-22-222-2-20000−2i2i−2i2i000000000022-2-20000−2i2i2i−2i000000000000000000
χ482-2-2-2-2222-2222-2-22-222-2-20000−2i2i−2i2i0000000000-2-22200002i−2i−2i2i000000000000000000
χ492-2-2-2-2222-222-222-22-2-22-200002i−2i−2i2i0000000000000022-2-200002i−2i−2i2i00000000000000
χ502-2-2-2-2222-222-222-22-2-22-200002i−2i−2i2i00000000000000-2-2220000−2i2i2i−2i00000000000000
χ512-2-2-2-2222-222-222-22-2-22-20000−2i2i2i−2i0000000000000022-2-20000−2i2i2i−2i00000000000000
χ522-2-2-2-2222-222-222-22-2-22-20000−2i2i2i−2i00000000000000-2-22200002i−2i−2i2i00000000000000
χ53444-4-4-44-444-4-4444-44-4-4-4000000000000000000000000000000000000000000000000
χ54444-4-4-44-4-4-44-44-4-4-44444000000000000000000000000000000000000000000000000
χ5544-44-4-4-44000000000000004i−4i000000000000002i−2i2i−2i2-22-20000000000000000000000
χ5644-44-4-4-44000000000000004i−4i00000000000000−2i2i−2i2i-22-220000000000000000000000
χ5744-44-4-4-4400000000000000−4i4i000000000000002i−2i2i−2i-22-220000000000000000000000
χ5844-44-4-4-4400000000000000−4i4i00000000000000−2i2i−2i2i2-22-20000000000000000000000
χ594-44-44-4-440000000000004i−4i00000000000000002i−2i−2i2i2-2-220000000000000000000000
χ604-44-44-4-440000000000004i−4i0000000000000000−2i2i2i−2i-222-20000000000000000000000
χ614-44-44-4-44000000000000−4i4i00000000000000002i−2i−2i2i-222-20000000000000000000000
χ624-44-44-4-44000000000000−4i4i0000000000000000−2i2i2i−2i2-2-220000000000000000000000
χ634-4-444-44-44-4444-44-4-4-44-4000000000000000000000000000000000000000000000000
χ644-4-444-44-4-44-4-4-4-4444-444000000000000000000000000000000000000000000000000
χ654-4-4-4-44444-4-44-44-4-44-444000000000000000000000000000000000000000000000000
χ664-4-4-4-44444-4-4-44-444-44-44000000000000000000000000000000000000000000000000
χ6788-8-888-8-8000000000000000000000000000000000000000000000000000000000000
χ688-888-88-8-8000000000000000000000000000000000000000000000000000000000000

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