Finite Group Databasebeta

← Group #280392

Character table — Group #280392

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888224444444488888888888888444444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-1-1-1111111111111111-1-1-1-1-1-1-111-1-1-1-1-1
χ311111111111111111111111111-1-111111111-1-1-1-1111111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111111
χ51111111111111111111111-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-111-1-1-1
χ61111111111111111111111-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111
χ71111111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1111
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1111-1-1111111-1-1-1
χ91111111111111111-1-1-1-11111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11
χ101111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-11111-1-1111111-1
χ111111111111111111-1-1-1-1111111-1-111-1-11111111111-1-1-1-11111-11-1-1-1-1-1-1-1-11111-1
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1111111-1-1-1-1-1-11
χ131111111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111111111-111-1-111-1-1-1-111-1
χ141111111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-11
χ151111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-11-1-1111111-1-111-1
χ17222222222-222-2-2-222222-2-200002200-2-2000022-2-20000000000-200000000000000
χ18222222222-222-2-2-222222-2-20000-2-200-2-20000-2-2220000000000200000000000000
χ19222222222-222-2-2-22-2-2-2-2-2-200002200220000-2-2220000000000-200000000000000
χ20222222222-222-2-2-22-2-2-2-2-2-20000-2-20022000022-2-20000000000200000000000000
χ2122222222-22-2-2222-20000-2-2222200220022-2-20000-2-2000000000-20000000000000
χ2222222222-22-2-2222-20000-2-2222200-2-200-2-2220000-2-200000000020000000000000
χ2322222222-22-2-2222-20000-2-2-2-2-2-2002200-2-2-2-200002200000000020000000000000
χ2422222222-22-2-2222-20000-2-2-2-2-2-200-2-2002222000022000000000-20000000000000
χ25222-22-2-2-2202-2000-222-2-20022−2−22-2000000002-2002−222−2−222−2−2000000002−200000
χ26222-22-2-2-2202-2000-222-2-20022−2−2-2200000000-22002−222−2−2−2−22200000000−2200000
χ27222-22-2-2-2202-2000-222-2-200−2−2222-2000000002-200−22−2−222−2−22200000000−2200000
χ28222-22-2-2-2202-2000-222-2-200−2−222-2200000000-2200−22−2−22222−2−2000000002−200000
χ29222-22-2-2-2202-2000-2-2-2220022−2−22-200000000-22002−2−2−222−2−222000000002−200000
χ30222-22-2-2-2202-2000-2-2-2220022−2−2-22000000002-2002−2−2−22222−2−200000000−2200000
χ31222-22-2-2-2202-2000-2-2-22200−2−2222-200000000-2200−2222−2−222−2−200000000−2200000
χ32222-22-2-2-2202-2000-2-2-22200−2−222-22000000002-200−2222−2−2−2−222000000002−200000
χ332-2-2-2222-222-2-2-22-2200002-20000002i−2i00002i−2i0000002i−2i2i−2i0000002-200000000000
χ342-2-2-2222-222-2-2-22-2200002-20000002i−2i00002i−2i000000−2i2i−2i2i000000-2200000000000
χ352-2-2-2222-222-2-2-22-2200002-2000000−2i2i0000−2i2i0000002i−2i2i−2i000000-2200000000000
χ362-2-2-2222-222-2-2-22-2200002-2000000−2i2i0000−2i2i000000−2i2i−2i2i0000002-200000000000
χ372-2-2-2222-2-2222-22-2-22-22-2-220000002i−2i2-200−2i2i0000000000000000002i−2i000000000
χ382-2-2-2222-2-2222-22-2-22-22-2-22000000−2i2i2-2002i−2i000000000000000000−2i2i000000000
χ392-2-2-2222-2-2222-22-2-2-22-22-220000002i−2i-2200−2i2i000000000000000000−2i2i000000000
χ402-2-2-2222-2-2222-22-2-2-22-22-22000000−2i2i-22002i−2i0000000000000000002i−2i000000000
χ412-2-2-2222-2-2-2222-22-22-22-22-200000000-220000000000000000000000002i−2i002i−2i000
χ422-2-2-2222-2-2-2222-22-22-22-22-200000000-22000000000000000000000000−2i2i00−2i2i000
χ432-2-2-2222-2-2-2222-22-2-22-222-2000000002-20000000000000000000000002i−2i00−2i2i000
χ442-2-2-2222-2-2-2222-22-2-22-222-2000000002-2000000000000000000000000−2i2i002i−2i000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000
χ46444-44-4-4-4-40-4400040000002222−22−2200000000000000−222200000000000000000000000
χ47444-44-4-4-4-40-440004000000−22−2222220000000000000022−2200000000000000000000000
χ4844-44-44-4-40000000000000022−2222−2200000000000022−220000002-22-2000000000000000
χ4944-44-44-4-40000000000000022−2222−22000000000000−2222000000-22-22000000000000000
χ5044-44-44-4-400000000000000−2222−222200000000000022−22000000-22-22000000000000000
χ5144-44-44-4-400000000000000−2222−2222000000000000−22220000002-22-2000000000000000
χ5244-4-4-4-4440400-4-44000000000000000000000000000000022−22−2222000000000000000
χ5344-4-4-4-4440400-4-440000000000000000000000000000000−222222−22000000000000000
χ5444-4-4-4-4440-40044-400000004-4-44000000000000000000000000000000000000000
χ5544-4-4-4-4440-40044-40000000-444-4000000000000000000000000000000000000000
χ564-444-4-44-404004-4-40000000000000000000000000000000000000000000000022−220
χ574-444-4-44-404004-4-400000000000000000000000000000000000000000000000−22220
χ584-444-4-44-40-400-444000000000000000004i−4i0000000000000000000000000000000
χ594-444-4-44-40-400-44400000000000000000−4i4i0000000000000000000000000000000
χ604-4-444-4-4440-44000-4000000000000000000000000002i2−2i2−2i22i20000000000000000000
χ614-4-444-4-4440-44000-400000000000000000000000000−2i22i22i2−2i20000000000000000000
χ624-4-444-4-44-404-400044-4-44000000000000000000000000000000000000000000000
χ634-4-444-4-44-404-40004-444-4000000000000000000000000000000000000000000000
χ644-4-4-4444-44-4-4-44-4440000-440000000000000000000000000000000000000000000
χ658-88-8-88-88000000000000000000000000000000000000000000000000000000000

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