Finite Group Databasebeta

← Group #449755

Character table — Group #449755

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size1111111122222222222244448888888888888888888888888888881616161616161616161616161616
order12222222222244444444444422444444444444444444444444444424444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-11111
χ411111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-111111-1-1-1-1
χ5111111111111111111111111-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-1
χ6111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-111-1-1-1-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1111111-1-11111111111111111-1-1-111-1-1-1-1-1-1-1-1-1
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111111111
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
χ1011111111111111111111-1-1-1-1111111-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111
χ1111111111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-1-11111-1-1
χ1211111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11111-111-1-1-1-111
χ1311111111111111111111-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111111-1-1-1-111
χ1411111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11-1-1111-1-11111-1-1
χ1511111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-11-1-111-1-111
χ1611111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111-1-1111-1-111-1-1
χ17222222222222-2-2-2-2-2-2-2-222220000000000-2-20022-2-20000000000000002-2000000000
χ18222222222222-2-2-2-2-2-2-2-222220000000000-2-200-2-222000000000000000-22000000000
χ19222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000220022-2-2000000000000000-22000000000
χ20222222222222-2-2-2-2-2-2-2-2-2-2-2-200000000002200-2-2220000000000000002-2000000000
χ2122222222-2-2-2-2222-2-2-2-2222-2-22200-2-200002-200000000000000000020000-200000000
χ2222222222-2-2-2-2222-2-2-2-2222-2-2-2-2002200002-2000000000000000000-20000200000000
χ2322222222-2-2-2-2222-2-2-2-22-2-2222200-2-20000-22000000000000000000-20000200000000
χ2422222222-2-2-2-2222-2-2-2-22-2-222-2-200220000-2200000000000000000020000-200000000
χ2522222222-2-2-2-2-2-2-22222-222-2-20022000000-22-2-2000000000000000002-200000000000
χ2622222222-2-2-2-2-2-2-22222-222-2-200-2-2000000-222200000000000000000-2200000000000
χ2722222222-2-2-2-2-2-2-22222-2-2-22200220000002-2-2-200000000000000000-2200000000000
χ2822222222-2-2-2-2-2-2-22222-2-2-22200-2-20000002-222000000000000000002-200000000000
χ2922-2-22-22-22-22-222-2-2-222-20000000000000000002i−2i2i−2i2i2i−2i−2i000022-2-200000000000000
χ3022-2-22-22-22-22-222-2-2-222-20000000000000000002i−2i2i−2i−2i−2i2i2i0000-2-22200000000000000
χ3122-2-22-22-22-22-222-2-2-222-2000000000000000000−2i2i−2i2i2i2i−2i−2i0000-2-22200000000000000
χ3222-2-22-22-22-22-222-2-2-222-2000000000000000000−2i2i−2i2i−2i−2i2i2i000022-2-200000000000000
χ3322-2-22-22-22-22-2-2-2222-2-22000000000022-2-200002i−2i−2i2i00002i2i−2i−2i000000000000000000
χ3422-2-22-22-22-22-2-2-2222-2-22000000000022-2-20000−2i2i2i−2i0000−2i−2i2i2i000000000000000000
χ3522-2-22-22-22-22-2-2-2222-2-220000000000-2-22200002i−2i−2i2i0000−2i−2i2i2i000000000000000000
χ3622-2-22-22-22-22-2-2-2222-2-220000000000-2-2220000−2i2i2i−2i00002i2i−2i−2i000000000000000000
χ372-222-2-22-222-2-22-2-22-22-220000002i−2i002-22-2002i−2i00000000000000000000002i−2i000000
χ382-222-2-22-222-2-22-2-22-22-220000002i−2i00-22-22002i−2i0000000000000000000000−2i2i000000
χ392-222-2-22-222-2-22-2-22-22-22000000−2i2i002-22-200−2i2i0000000000000000000000−2i2i000000
χ402-222-2-22-222-2-22-2-22-22-22000000−2i2i00-22-2200−2i2i00000000000000000000002i−2i000000
χ412-222-2-22-2-2-222-2222-22-2-20000002i−2i00000000−2i2i00002i−2i2i−2i00000000000000002-20000
χ422-222-2-22-2-2-222-2222-22-2-20000002i−2i00000000−2i2i0000−2i2i−2i2i0000000000000000-220000
χ432-222-2-22-2-2-222-2222-22-2-2000000−2i2i000000002i−2i00002i−2i2i−2i0000000000000000-220000
χ442-222-2-22-2-2-222-2222-22-2-2000000−2i2i000000002i−2i0000−2i2i−2i2i00000000000000002-20000
χ452-2-2-2-22222-2-22-22-22-2-22200002-2002-22-2-220000000000000000000000000000002-200
χ462-2-2-2-22222-2-22-22-22-2-22200002-2002-2-222-2000000000000000000000000000000-2200
χ472-2-2-2-22222-2-22-22-22-2-2220000-2200-222-2-22000000000000000000000000000000-2200
χ482-2-2-2-22222-2-22-22-22-2-2220000-2200-22-222-20000000000000000000000000000002-200
χ492-2-2-2-2222-222-2-22-2-222-2200002-200-220000000000002-2-22000000000000000000002-2
χ502-2-2-2-2222-222-2-22-2-222-2200002-200-22000000000000-222-200000000000000000000-22
χ512-2-2-2-2222-222-2-22-2-222-220000-22002-20000000000002-2-2200000000000000000000-22
χ522-2-2-2-2222-222-2-22-2-222-220000-22002-2000000000000-222-2000000000000000000002-2
χ53444-4-44-4-40000000000004-40000000000000000000000002-22-22-22-200000000000000
χ54444-4-44-4-40000000000004-4000000000000000000000000-22-22-22-2200000000000000
χ55444-4-44-4-4000000000000-440000000000000000000000002-22-2-22-2200000000000000
χ56444-4-44-4-4000000000000-44000000000000000000000000-22-222-22-200000000000000
χ5744-44-4-4-44000000000000004i−4i00000000000000000000002i−2i−2i2i2-2-2200000000000000
χ5844-44-4-4-44000000000000004i−4i0000000000000000000000−2i2i2i−2i-222-200000000000000
χ5944-44-4-4-4400000000000000−4i4i00000000000000000000002i−2i−2i2i-222-200000000000000
χ6044-44-4-4-4400000000000000−4i4i0000000000000000000000−2i2i2i−2i2-2-2200000000000000
χ6144-4-44-44-4-44-4444-444-4-4-4000000000000000000000000000000000000000000000000
χ6244-4-44-44-4-44-44-4-44-4-4444000000000000000000000000000000000000000000000000
χ634-444-4-44-444-4-4-444-44-44-4000000000000000000000000000000000000000000000000
χ644-444-4-44-4-4-4444-4-4-44-444000000000000000000000000000000000000000000000000
χ654-4-4-4-44444-4-444-44-444-4-4000000000000000000000000000000000000000000000000
χ664-4-4-4-4444-444-44-444-4-44-4000000000000000000000000000000000000000000000000
χ678-88-88-8-88000000000000000000000000000000000000000000000000000000000000
χ688-8-8888-8-8000000000000000000000000000000000000000000000000000000000000

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