Finite Group Databasebeta

← Group #279409

Character table — Group #279409

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444224444444888888888888888822448888888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ511111111111111111111111111-1-1-1-1-1-11-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1
χ611111111111111111111111111-1-1-1-1-1-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ711111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ911111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111-1-111-1-11-1
χ1011111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-11
χ1111111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111-1-11111-1-1-11
χ1211111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-1111-1
χ1311111111111-1-1-1-11111111-1-1-1-1-1-1-1-111-111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-11
χ1411111111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1111111-1-111-1-1-1-1-1-111-1-111-1-11111-1-11-1
χ1511111111111-1-1-1-11111111-1-1-1-1-1-1-1-111-111-1-1-1-111-1-1111111-1-111-1-1-1-111-1-1111-1
χ1611111111111-1-1-1-11111111-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1111111-1-11111-1-111-1-111-1-1-11
χ17222222222-2-2222222-22-2-2-2-2-22222-2-2-2-2-222000000000000000000000000000000
χ18222222222-2-2222222-22-2-2-2-2-222-2-22222-2-2-2000000000000000000000000000000
χ19222222222-2-2-2-2-2-222-22-2-2-222-2-222-2-2222-2-2000000000000000000000000000000
χ20222222222-2-2-2-2-2-222-22-2-2-222-2-2-2-222-2-2222000000000000000000000000000000
χ2122222222-2222222-2-22-22-2-222-2-2000000-200000022220000-2-2-2-200000000000000
χ2222222222-2222222-2-22-22-2-222-2-2000000-2000000-2-2-2-20000222200000000000000
χ2322222222-222-2-2-2-2-2-22-22-2-2-2-222000000200000022-2-20000-2-22200000000000000
χ2422222222-222-2-2-2-2-2-22-22-2-2-2-2220000002000000-2-222000022-2-200000000000000
χ2522222222-2-2-22222-2-2-2-2-222-2-2-2-20000002000000000000000000000000002i−2i2i−2i00
χ2622222222-2-2-22222-2-2-2-2-222-2-2-2-2000000200000000000000000000000000−2i2i−2i2i00
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222222000000-2000000000000000000000000002i−2i−2i2i00
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222222000000-200000000000000000000000000−2i2i2i−2i00
χ292222-2-2-2-222200002-2-2-2-22-200002-22-20000022-2-20000000000002-2000000000000
χ302222-2-2-2-222200002-2-2-2-22-200002-22-200000-2-222000000000000-22000000000000
χ312222-2-2-2-222200002-2-2-2-22-20000-22-220000022-2-2000000000000-22000000000000
χ322222-2-2-2-222200002-2-2-2-22-20000-22-2200000-2-2220000000000002-2000000000000
χ332222-2-2-2-22-2-200002-22-22-2200002-2-2200000000000002i2i−2i−2i0000002i−2i0000000000
χ342222-2-2-2-22-2-200002-22-22-2200002-2-220000000000000−2i−2i2i2i000000−2i2i0000000000
χ352222-2-2-2-22-2-200002-22-22-220000-222-200000000000002i2i−2i−2i000000−2i2i0000000000
χ362222-2-2-2-22-2-200002-22-22-220000-222-20000000000000−2i−2i2i2i0000002i−2i0000000000
χ372-2-222-2-2202-222-2-20020-2002-2000000000002−22−200002−22−22i−2i2i−2i0000i2−i2i2−i2000000
χ382-2-222-2-2202-222-2-20020-2002-2000000000002−22−200002−22−2−2i2i−2i2i0000−i2i2−i2i2000000
χ392-2-222-2-2202-222-2-20020-2002-200000000000−22−220000−22−222i−2i2i−2i0000−i2i2−i2i2000000
χ402-2-222-2-2202-222-2-20020-2002-200000000000−22−220000−22−22−2i2i−2i2i0000i2−i2i2−i2000000
χ412-2-222-2-2202-2-2-2220020-200-22000000000002−22−20000−22−222i−2i−2i2i0000i2−i2−i2i2000000
χ422-2-222-2-2202-2-2-2220020-200-22000000000002−22−20000−22−22−2i2i2i−2i0000−i2i2i2−i2000000
χ432-2-222-2-2202-2-2-2220020-200-2200000000000−22−2200002−22−22i−2i−2i2i0000−i2i2i2−i2000000
χ442-2-222-2-2202-2-2-2220020-200-2200000000000−22−2200002−22−2−2i2i2i−2i0000i2−i2−i2i2000000
χ454444-4-4-4-4-4440000-44-44-4-440000000000000000000000000000000000000000000
χ464444-4-4-4-4-4-4-40000-444444-40000000000000000000000000000000000000000000
χ4744-4-444-4-40004i−4i4i−4i00000000000000000000000022−222i2−2i20000000000000000000000
χ4844-4-444-4-40004i−4i4i−4i000000000000000000000000−2222−2i22i20000000000000000000000
χ4944-4-444-4-4000−4i4i−4i4i00000000000000000000000022−22−2i22i20000000000000000000000
χ5044-4-444-4-4000−4i4i−4i4i000000000000000000000000−22222i2−2i20000000000000000000000
χ514-44-44-44-44004i−4i−4i4i-4-404000004i−4i000000000000000000000000000000000000000
χ524-44-44-44-4400−4i4i4i−4i-4-40400000−4i4i000000000000000000000000000000000000000
χ534-44-44-44-4-4004i−4i−4i4i440-400000−4i4i000000000000000000000000000000000000000
χ544-44-44-44-4-400−4i4i4i−4i440-4000004i−4i000000000000000000000000000000000000000
χ554-44-4-44-444000000-440-4000000000004i−4i000000000000000000000000000000000
χ564-44-4-44-444000000-440-400000000000−4i4i000000000000000000000000000000000
χ574-44-4-44-44-40000004-404000000000000004-4000000000000000000000000000000
χ584-44-4-44-44-40000004-40400000000000000-44000000000000000000000000000000
χ594-4-444-4-440-4444-4-400-40400-4400000000000000000000000000000000000000000
χ604-4-444-4-440-44-4-44400-404004-400000000000000000000000000000000000000000
χ614-4-44-444-404-4000000-40400000000000000022−22−222200000000000000000000000000
χ624-4-44-444-404-4000000-404000000000000000−222222−2200000000000000000000000000
χ634-4-44-444-40-4400000040-4000000000000000000000002i2−2i2−2i22i2000000000000000000
χ644-4-44-444-40-4400000040-400000000000000000000000−2i22i22i2−2i2000000000000000000
χ6588-8-8-8-888000000000000000000000000000000000000000000000000000000000

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