Finite Group Databasebeta

← Group #280324

Character table — Group #280324

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888444444444488888888888888444444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-111111111111111-1-11-1-1-1-1-111-1-1-1-1-1
χ311111111111111111111111111-1-11111111111-1-11111-1-1-1-1-1-111-1111-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111
χ51111111111111111111111-1-1-1-1111111-1-111-1-111-1-1-1-111-1-1-1-1111-1-1-111-1-1-1-111-1
χ61111111111111111111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-11
χ71111111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-11
χ81111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111111-1-111-1
χ91111111111111111-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-11
χ101111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1111111-1
χ111111111111111111-1-1-1-1111111-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-11-1-1-1-11111-1
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-111-111-1-1-1-1-1-11
χ131111111111111111-1-1-1-111-1-1-1-111-1-111-1-111-1-1-1-11111-1-11111-1-1111-111-1-111-1-1-1
χ141111111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-11111111-1-11-1-1-1-1-1-1111
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-111-1-1-111-1-1111
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-11111111-1-1-1
χ172222222222-2-22-2-222222-2-2000022-2-200000000220000-2-2000000-2000000000000
χ182222222222-2-22-2-222222-2-20000-2-2-2-200000000-2-20000220000002000000000000
χ192222222222-2-22-2-22-2-2-2-2-2-20000222200000000-2-2000022000000-2000000000000
χ202222222222-2-22-2-22-2-2-2-2-2-20000-2-22200000000220000-2-20000002000000000000
χ2122222222-2-222-222-20000-2-22222000022-2-2-2-2-2-2000000000000000002000000000
χ2222222222-2-222-222-20000-2-222220000-2-22222-2-200000000000000000-2000000000
χ2322222222-2-222-222-20000-2-2-2-2-2-200002222-2-22200000000000000000-2000000000
χ2422222222-2-222-222-20000-2-2-2-2-2-20000-2-2-2-22222000000000000000002000000000
χ252222-2-2-2-22200-200-222-2-20022−2−22-2000000002−22-222−2−20022−2−2000000002−200000
χ262222-2-2-2-22200-200-222-2-20022−2−2-22000000002−2-2222−2−200−2−22200000000−2200000
χ272222-2-2-2-22200-200-222-2-200−2−2222-200000000−222-2−2−22200−2−22200000000−2200000
χ282222-2-2-2-22200-200-222-2-200−2−222-2200000000−22-22−2−2220022−2−2000000002−200000
χ292222-2-2-2-22200-200-2-2-2220022−2−22-2000000002−2-22−2−22200−2−222000000002−200000
χ302222-2-2-2-22200-200-2-2-2220022−2−2-22000000002−22-2−2−2220022−2−200000000−2200000
χ312222-2-2-2-22200-200-2-2-22200−2−2222-200000000−22-2222−2−20022−2−200000000−2200000
χ322222-2-2-2-22200-200-2-2-22200−2−222-2200000000−222-222−2−200−2−222000000002−200000
χ332-2-22-22-222-2222-2-2-22i−2i2i−2i-220000002i−2i2-2002-2000000000000002i−2i0000000000000
χ342-2-22-22-222-2222-2-2-22i−2i2i−2i-220000002i−2i-2200-2200000000000000−2i2i0000000000000
χ352-2-22-22-222-2222-2-2-2−2i2i−2i2i-22000000−2i2i2-2002-200000000000000−2i2i0000000000000
χ362-2-22-22-222-2222-2-2-2−2i2i−2i2i-22000000−2i2i-2200-22000000000000002i−2i0000000000000
χ372-2-22-22-222-2-2-2222-22i−2i2i−2i2-2000000−2i2i000000000000000000000000002-200002i−2i0
χ382-2-22-22-222-2-2-2222-22i−2i2i−2i2-2000000−2i2i00000000000000000000000000-220000−2i2i0
χ392-2-22-22-222-2-2-2222-2−2i2i−2i2i2-20000002i−2i000000000000000000000000002-20000−2i2i0
χ402-2-22-22-222-2-2-2222-2−2i2i−2i2i2-20000002i−2i00000000000000000000000000-2200002i−2i0
χ412-2-22-22-22-2222-2-2-2200002-2000000002-200-2200002i−2i2i−2i0000000002i−2i0000000000
χ422-2-22-22-22-2222-2-2-2200002-2000000002-200-220000−2i2i−2i2i000000000−2i2i0000000000
χ432-2-22-22-22-2222-2-2-2200002-200000000-22002-200002i−2i2i−2i000000000−2i2i0000000000
χ442-2-22-22-22-2222-2-2-2200002-200000000-22002-20000−2i2i−2i2i0000000002i−2i0000000000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000
χ464444-4-4-4-4-4-40040040000002222−22−220000000000−2222000000000000000000000000000
χ474444-4-4-4-4-4-4004004000000−22−222222000000000022−22000000000000000000000000000
χ4844-4-4-4-444004-404-40000000000000000000000000000000000000000000002i2−2i2000
χ4944-4-4-4-444004-404-4000000000000000000000000000000000000000000000−2i22i2000
χ5044-4-4-4-44400-440-44000000000000000004i−4i0000000000000000000000000000000
χ5144-4-4-4-44400-440-4400000000000000000−4i4i0000000000000000000000000000000
χ524-44-44-4-44004-40-4400000000000000000000000000000002i2−2i22i2−2i2000000000000000
χ534-44-44-4-44004-40-440000000000000000000000000000000−2i22i2−2i22i2000000000000000
χ544-44-44-4-4400-4404-400000004i−4i4i−4i000000000000000000000000000000000000000
χ554-44-44-4-4400-4404-40000000−4i4i−4i4i000000000000000000000000000000000000000
χ564-44-4-444-4000000000000002i2−2i2−2i22i200000000000000000022−222i−2i−2i2i000000000000000
χ574-44-4-444-4000000000000002i2−2i2−2i22i2000000000000000000−2222−2i2i2i−2i000000000000000
χ584-44-4-444-400000000000000−2i22i22i2−2i200000000000000000022−22−2i2i2i−2i000000000000000
χ594-44-4-444-400000000000000−2i22i22i2−2i2000000000000000000−22222i−2i−2i2i000000000000000
χ604-4-444-44-44-400-40044i−4i−4i4i000000000000000000000000000000000000000000000
χ614-4-444-44-44-400-4004−4i4i4i−4i000000000000000000000000000000000000000000000
χ624-4-444-44-4-4400400-40000000000000000000000002i2−2i2−2i22i2000000000000000000000
χ634-4-444-44-4-4400400-4000000000000000000000000−2i22i22i2−2i2000000000000000000000
χ644-4-44-44-44-44-4-4-44440000-440000000000000000000000000000000000000000000
χ6588-8-888-8-8000000000000000000000000000000000000000000000000000000000

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