Finite Group Databasebeta

← Group #433962

Character table — Group #433962

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111122222222222222888888888888888888888888888816161616161616161616161616161616
order12222222224444444422222244444444444444444444444444888888888888
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1
χ3111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-1
χ4111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111
χ51111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111
χ61111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1
χ71111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111
χ9111111111111111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-111
χ10111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-1-1-1
χ11111111111111111111-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-111-1-1-1-1
χ12111111111111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-111
χ13111111111111111111-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1111111
χ14111111111111111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-111-1-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111111111-1-111-1-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1111111
χ17222222-2-2-2-222-22-2-2-2200002200-2-2000000000000002i2i−2i−2i0000002i−2i00000000
χ18222222-2-2-2-222-22-2-2-2200002200-2-200000000000000−2i−2i2i2i000000−2i2i00000000
χ19222222-2-2-2-222-22-2-2-220000-2-20022000000000000002i2i−2i−2i000000−2i2i00000000
χ20222222-2-2-2-222-22-2-2-220000-2-2002200000000000000−2i−2i2i2i0000002i−2i00000000
χ21222222-2-2-2-2-2-22-2222-20000002200-2-2000000002i2i−2i−2i0000000000000000002i−2i
χ22222222-2-2-2-2-2-22-2222-20000002200-2-200000000−2i−2i2i2i000000000000000000−2i2i
χ23222222-2-2-2-2-2-22-2222-2000000-2-20022000000002i2i−2i−2i000000000000000000−2i2i
χ24222222-2-2-2-2-2-22-2222-2000000-2-2002200000000−2i−2i2i2i0000000000000000002i−2i
χ252222-2-2-222-22-2-2-222-2222-2-20000000022-2-222-2-2000000000000000000000000
χ262222-2-2-222-22-2-2-222-2222-2-200000000-2-222-2-222000000000000000000000000
χ272222-2-2-222-22-2-2-222-22-2-2220000000022-2-2-2-222000000000000000000000000
χ282222-2-2-222-22-2-2-222-22-2-22200000000-2-22222-2-2000000000000000000000000
χ292-22-22-222-2-2-2-2222-2-2200002-2002-200000000002i−2i2i−2i00002i−2i00000000000000
χ302-22-22-222-2-2-2-2222-2-2200002-2002-20000000000−2i2i−2i2i0000−2i2i00000000000000
χ312-22-22-222-2-2-2-2222-2-220000-2200-2200000000002i−2i2i−2i0000−2i2i00000000000000
χ322-22-22-222-2-2-2-2222-2-220000-2200-220000000000−2i2i−2i2i00002i−2i00000000000000
χ332-22-22-2-2-222222-22-2-2-20000000000002i−2i2i−2i00002-2-220000000000002i−2i000000
χ342-22-22-2-2-222222-22-2-2-20000000000002i−2i2i−2i0000-222-2000000000000−2i2i000000
χ352-22-22-2-2-222222-22-2-2-2000000000000−2i2i−2i2i00002-2-22000000000000−2i2i000000
χ362-22-22-2-2-222222-22-2-2-2000000000000−2i2i−2i2i0000-222-20000000000002i−2i000000
χ372-22-22-2-2-222-2-2-22-22222-22-22-200-220000000000000000000000000000002-200
χ382-22-22-2-2-222-2-2-22-22222-22-2-22002-2000000000000000000000000000000-2200
χ392-22-22-2-2-222-2-2-22-2222-22-222-200-22000000000000000000000000000000-2200
χ402-22-22-2-2-222-2-2-22-2222-22-22-22002-20000000000000000000000000000002-200
χ412-22-2-222-22-22-2-222-22-20000000000002i−2i−2i2i000000002i−2i2i−2i00000000002-20000
χ422-22-2-222-22-22-2-222-22-20000000000002i−2i−2i2i00000000−2i2i−2i2i0000000000-220000
χ432-22-2-222-22-22-2-222-22-2000000000000−2i2i2i−2i000000002i−2i2i−2i0000000000-220000
χ442-22-2-222-22-22-2-222-22-2000000000000−2i2i2i−2i00000000−2i2i−2i2i00000000002-20000
χ452-22-2-222-22-2-222-2-22-222-2-22002i−2i002i−2i000000000000000000002i−2i0000000000
χ462-22-2-222-22-2-222-2-22-222-2-2200−2i2i00−2i2i00000000000000000000−2i2i0000000000
χ472-22-2-222-22-2-222-2-22-22-222-2002i−2i002i−2i00000000000000000000−2i2i0000000000
χ482-22-2-222-22-2-222-2-22-22-222-200−2i2i00−2i2i000000000000000000002i−2i0000000000
χ492-22-2-22-22-222-222-22-2-20000002i−2i00−2i2i0000000000002-2-22002i−2i000000000000
χ502-22-2-22-22-222-222-22-2-20000002i−2i00−2i2i000000000000-222-200−2i2i000000000000
χ512-22-2-22-22-222-222-22-2-2000000−2i2i002i−2i0000000000002-2-2200−2i2i000000000000
χ522-22-2-22-22-222-222-22-2-2000000−2i2i002i−2i000000000000-222-2002i−2i000000000000
χ534444444444-4-4-4-4-4-4-4-400000000000000000000000000000000000000000000
χ544444-4-44-4-444-44-4-4-44400000000000000000000000000000000000000000000
χ554444-4-44-4-44-44-4444-4-400000000000000000000000000000000000000000000
χ564444-4-4-444-4-4444-4-44-400000000000000000000000000000000000000000000
χ574-44-44-444-4-444-4-4-444-400000000000000000000000000000000000000000000
χ584-44-4-44-44-44-44-4-44-44400000000000000000000000000000000000000000000
χ5988-8-8000000000000000000000000000000004i−4i000000000000000000000000
χ6088-8-800000000000000000000000000000000−4i4i000000000000000000000000
χ618-8-880000000000000000000000000000004-400000000000000000000000000
χ628-8-88000000000000000000000000000000-4400000000000000000000000000

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