Finite Group Databasebeta

← Group #255592

Character table — Group #255592

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444448888888888888888888161616161616161616161616161616161616
order12222222444444442244444444442244444444488888888224444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-111111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ51111111111111111111111-1-1-1-111-1-111-1-11-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-11111
χ61111111111111111111111-1-1-1-111-1-111-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ71111111111111111111111-1-1-1-111-1-1-1-1-1-11-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1
χ81111111111111111111111-1-1-1-111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111
χ91111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-11111-1-1-1-1-1-111-1111-1-111-1-111-1-1
χ101111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-11111-1-111-11-1-111-1-111-1-111
χ111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1111111-1-1-1-111-1-11-1-1-11111-1-1-1-111
χ121111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-111-1-1-1-1111111-1-11-111-1-1-1-11111-1-1
χ131111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-111-1-11111-1-1-1-111-1-1-11-1-111-1-11111-1-1
χ141111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-111-1-1-1-1-1-1111111-1-1-1111-1-111-1-1-1-111
χ151111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-111111111-1-1-1-1-1-1111-111-1-1-1-111-1-111
χ161111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-11111-1-1-1-11111-1-1111-1-1-11111-1-111-1-1
χ1722222222222-2-2-2-222222-2-22222-2-2-2-200-2-2-2220000000000000000000000000000
χ1822222222222-2-2-2-222222-2-2-2-2-2-2-2-2220022-2-2-20000000000000000000000000000
χ1922222222222-2-2-2-22-2-2-2-2222222-2-2-2-200222-2-20000000000000000000000000000
χ2022222222222-2-2-2-22-2-2-2-222-2-2-2-2-2-22200-2-22220000000000000000000000000000
χ2122222222-2-2-22222-222-2-2-2-20000-2-2002200200-2-20000000000002-2000000000000
χ2222222222-2-2-22222-222-2-2-2-20000-2-200-2-20020022000000000000-22000000000000
χ2322222222-2-2-22222-2-2-222220000-2-2002200-20022000000000000-2-2000000000000
χ2422222222-2-2-22222-2-2-222220000-2-200-2-200-200-2-200000000000022000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-222000022000000-20000000000002-22-200000000000000
χ2622222222-2-2-2-2-2-2-2-222-2-222000022000000-2000000000000-22-2200000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-222-2-200002200000020000000000002-2-2200000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-222-2-20000220000002000000000000-222-200000000000000
χ2922-222-2-2-22-2-2000022-22-2002i2i−2i−2i0000000002i−2i00i2i2−i2−i2i2i2−i2−i200000000002−22−20000
χ3022-222-2-2-22-2-2000022-22-2002i2i−2i−2i0000000002i−2i00−i2−i2i2i2−i2−i2i2i20000000000−22−220000
χ3122-222-2-2-22-2-2000022-22-200−2i−2i2i2i000000000−2i2i00i2i2−i2−i2i2i2−i2−i20000000000−22−220000
χ3222-222-2-2-22-2-2000022-22-200−2i−2i2i2i000000000−2i2i00−i2−i2i2i2−i2−i2i2i200000000002−22−20000
χ3322-222-2-2-22-2-200002-22-22002i2i−2i−2i000000000−2i2i00i2i2−i2−i2−i2−i2i2i200000000002−2−220000
χ3422-222-2-2-22-2-200002-22-22002i2i−2i−2i000000000−2i2i00−i2−i2i2i2i2i2−i2−i20000000000−222−20000
χ3522-222-2-2-22-2-200002-22-2200−2i−2i2i2i0000000002i−2i00i2i2−i2−i2−i2−i2i2i20000000000−222−20000
χ3622-222-2-2-22-2-200002-22-2200−2i−2i2i2i0000000002i−2i00−i2−i2i2i2i2i2−i2−i200000000002−2−220000
χ372-2-22-222-222-22-22-2-20000002-22-22-22-2000000000000000000000002i−2i0000002i−2i00
χ382-2-22-222-222-22-22-2-20000002-22-22-22-200000000000000000000000−2i2i000000−2i2i00
χ392-2-22-222-222-22-22-2-2000000-22-222-2-22000000000000000000000002i−2i000000−2i2i00
χ402-2-22-222-222-22-22-2-2000000-22-222-2-2200000000000000000000000−2i2i0000002i−2i00
χ412-2-22-222-222-2-22-22-20000002-22-2-22-2200000000000000000000000002i−2i0000002i−2i
χ422-2-22-222-222-2-22-22-20000002-22-2-22-220000000000000000000000000−2i2i000000−2i2i
χ432-2-22-222-222-2-22-22-2000000-22-22-222-200000000000000000000000002i−2i000000−2i2i
χ442-2-22-222-222-2-22-22-2000000-22-22-222-20000000000000000000000000−2i2i0000002i−2i
χ4544-444-4-4-4-4440000-44-4-44000000000000000000000000000000000000000000000
χ4644-444-4-4-4-4440000-4-444-4000000000000000000000000000000000000000000000
χ4744-4-4-44-4400044-4-40000000000000004i−4i000000000000000000000000000000000
χ4844-4-4-44-4400044-4-4000000000000000−4i4i000000000000000000000000000000000
χ4944-4-4-44-44000-4-44400000000000000000000004-400000000000000000000000000
χ5044-4-4-44-44000-4-4440000000000000000000000-4400000000000000000000000000
χ514-444-4-4-444-440000-40000004i−4i−4i4i000000000000000000000000000000000000000
χ524-444-4-4-444-440000-4000000−4i4i4i−4i000000000000000000000000000000000000000
χ534-444-4-4-44-44-40000400000000000000004-40000000000000000000000000000000
χ544-444-4-4-44-44-4000040000000000000000-440000000000000000000000000000000
χ554-44-444-4-40004-4-440000000000000000000000002i2−2i22i2−2i20000000000000000000000
χ564-44-444-4-40004-4-44000000000000000000000000−2i22i2−2i22i20000000000000000000000
χ574-44-444-4-4000-444-400000000000000000000000000002i2−2i22i2−2i2000000000000000000
χ584-44-444-4-4000-444-40000000000000000000000000000−2i22i2−2i22i2000000000000000000
χ594-4-44-444-4-4-444-44-440000000000-440000000000000000000000000000000000000
χ604-4-44-444-4-4-44-44-44400000000004-40000000000000000000000000000000000000
χ614-4-4-44-4440000000000004-4000000000000000002-2-222-2-22000000000000000000
χ624-4-4-44-4440000000000004-400000000000000000-222-2-222-2000000000000000000
χ634-4-4-44-444000000000000-44000000000000000002-2-22-222-2000000000000000000
χ644-4-4-44-444000000000000-4400000000000000000-222-22-2-22000000000000000000
χ65888-8-8-88-8000000000000000000000000000000000000000000000000000000000

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