Finite Group Databasebeta

← Group #244839

Character table — Group #244839

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size111111112222222244444444444444444488888888888888888888888816161616161616161616161632
order12222222444444442222444444888888884444444488888888888888882444444488884
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-11111-1-1-1-1111-1-1-111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-111111
χ5111111111111111111111-1-1-1-111111111111-1-111-1-11111-1-1-1-111111111-1-1-11-1-1-1-111-1-1-1
χ6111111111111111111111-1-1-1-111111-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-111-1-1111
χ7111111111111111111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111
χ8111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-111111-1-1-1111111-1-1-1
χ91111111111111111-1-1-1-111111111111111-1-111-1-11111111111-1-1-1-111111-1-1-1-1-1-1-1-1-111-1
χ101111111111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-11
χ111111111111111111-1-1-1-1111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-111-1-11
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-111111-1-111-1
χ131111111111111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-111-11111-1-1-1-11
χ141111111111111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111-111-1-11111-1
χ151111111111111111-1-1-1-11-1-1-1-11-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1111-1-1111111-1
χ161111111111111111-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11
χ17222222222-22-22-22-20000-22222-20000222200-2-20022-2-200000000000000-2000000000000
χ18222222222-22-22-22-20000-22222-20000-2-2-2-200-2-200-2-222000000000000002000000000000
χ19222222222-22-22-22-20000-2-2-2-2-2-200002222002200-2-2-2-2000000000000002000000000000
χ20222222222-22-22-22-20000-2-2-2-2-2-20000-2-2-2-2002200222200000000000000-2000000000000
χ2122222222-22-22-22-222222-20000-222220000-2-200220000-2-2000000000000000-2000000000
χ2222222222-22-22-22-222222-20000-2-2-2-2-20000-2-200-2-20000220000000000000002000000000
χ2322222222-22-22-22-22-2-2-2-2-20000-2222200002200-2-20000-2-20000000000000002000000000
χ2422222222-22-22-22-22-2-2-2-2-20000-2-2-2-2-20000220022000022000000000000000-2000000000
χ2522-2-222-2-20-202020-222-2-200000022-2-2i2i2−i2−i200002-200i2−i2000000i2i2−i2−i2i2i2−i2−i200000000i2−i2000
χ2622-2-222-2-20-202020-222-2-200000022-2-2−i2−i2i2i200002-200−i2i2000000−i2−i2i2i2−i2−i2i2i200000000−i2i2000
χ2722-2-222-2-20-202020-222-2-2000000-2-222i2i2−i2−i20000-2200i2−i2000000i2i2−i2−i2−i2−i2i2i200000000−i2i2000
χ2822-2-222-2-20-202020-222-2-2000000-2-222−i2−i2i2i20000-2200−i2i2000000−i2−i2i2i2i2i2−i2−i200000000i2−i2000
χ2922-2-222-2-20-202020-2-2-22200000022-2-2i2i2−i2−i20000-2200i2−i2000000−i2−i2i2i2i2i2−i2−i200000000−i2i2000
χ3022-2-222-2-20-202020-2-2-22200000022-2-2−i2−i2i2i20000-2200−i2i2000000i2i2−i2−i2−i2−i2i2i200000000i2−i2000
χ3122-2-222-2-20-202020-2-2-222000000-2-222i2i2−i2−i200002-200i2−i2000000−i2−i2i2i2−i2−i2i2i200000000i2−i2000
χ3222-2-222-2-20-202020-2-2-222000000-2-222−i2−i2i2i200002-200−i2i2000000i2i2−i2−i2i2i2−i2−i200000000−i2i2000
χ332-22-22-22-2-202020-200000022-2-20i2−i2i2−i22i−2i2i−2i0000002i−2i00i2−i2i2i2−i2−i200002−22−200000000002−20
χ342-22-22-22-2-202020-200000022-2-20i2−i2i2−i2−2i2i−2i2i000000−2i2i00i2−i2i2i2−i2−i20000−22−220000000000−220
χ352-22-22-22-2-202020-200000022-2-20−i2i2−i2i22i−2i2i−2i0000002i−2i00−i2i2−i2−i2i2i20000−22−220000000000−220
χ362-22-22-22-2-202020-200000022-2-20−i2i2−i2i2−2i2i−2i2i000000−2i2i00−i2i2−i2−i2i2i200002−22−200000000002−20
χ372-22-22-22-2-202020-2000000-2-2220i2−i2i2−i22i−2i2i−2i000000−2i2i00i2−i2−i2−i2i2i200002−22−20000000000−220
χ382-22-22-22-2-202020-2000000-2-2220i2−i2i2−i2−2i2i−2i2i0000002i−2i00i2−i2−i2−i2i2i20000−22−2200000000002−20
χ392-22-22-22-2-202020-2000000-2-2220−i2i2−i2i22i−2i2i−2i000000−2i2i00−i2i2i2i2−i2−i20000−22−2200000000002−20
χ402-22-22-22-2-202020-2000000-2-2220−i2i2−i2i2−2i2i−2i2i0000002i−2i00−i2i2i2i2−i2−i200002−22−20000000000−220
χ412-2-2-2-22222-2-222-2-222-22-2-200002000000002-200000000002-22-20000000000002-20000000
χ422-2-2-2-22222-2-222-2-222-22-2-200002000000002-20000000000-22-22000000000000-220000000
χ432-2-2-2-22222-2-222-2-22-22-22-20000200000000-2200000000002-22-2000000000000-220000000
χ442-2-2-2-22222-2-222-2-22-22-22-20000200000000-220000000000-22-220000000000002-20000000
χ452-2-2-2-2222-222-2-222-20000-22-22-2200000000002-20000000000002-22-200000000002-200000
χ462-2-2-2-2222-222-2-222-20000-22-22-2200000000002-2000000000000-22-220000000000-2200000
χ472-2-2-2-2222-222-2-222-20000-2-22-2220000000000-220000000000002-22-20000000000-2200000
χ482-2-2-2-2222-222-2-222-20000-2-22-2220000000000-22000000000000-22-2200000000002-200000
χ492-2-2-2-2222-2-222-2-2222-22-222-22-2-200000000-22-220000000000000000000002-20000000000
χ502-2-2-2-2222-2-222-2-2222-22-22-22-22-200000000-222-2000000000000000000000-220000000000
χ512-2-2-2-2222-2-222-2-222-22-2222-22-2-2000000002-2-22000000000000000000000-220000000000
χ522-2-2-2-2222-2-222-2-222-22-222-22-22-2000000002-22-20000000000000000000002-20000000000
χ5344444444-4-4-4-4-4-4-4-40000400004000000000000000000000000000000000000000000000
χ5444-44-4-44-44040-40-40000004-4-440000000000000000000000000000000000000000000000
χ5544-44-4-44-44040-40-4000000-444-40000000000000000000000000000000000000000000000
χ5644-44-4-44-4-40-4040400000000000000000000000000000002i2−2i2−2i22i2000000000000000000000
χ5744-44-4-44-4-40-404040000000000000000000000000000000−2i22i22i2−2i2000000000000000000000
χ5844-4-444-4-4040-40-404000000000000002i22i2−2i2−2i200000000−2i22i2000000000000000000000000000
χ5944-4-444-4-4040-40-40400000000000000−2i2−2i22i22i2000000002i2−2i2000000000000000000000000000
χ604-444-44-4-404040-40-44-4-44000000000000000000000000000000000000000000000000000
χ614-444-44-4-404040-40-4-444-4000000000000000000000000000000000000000000000000000
χ624-444-44-4-40-40-4040400000000000000000000000000000000002i2−2i2−2i22i200000000000000000
χ634-444-44-4-40-40-404040000000000000000000000000000000000−2i22i22i2−2i200000000000000000
χ644-44-44-44-440-40-404000000000002i2−2i22i2−2i200000000000000−2i22i20000000000000000000000000
χ654-44-44-44-440-40-40400000000000−2i22i2−2i22i2000000000000002i2−2i20000000000000000000000000
χ664-4-444-4-440000000000000000002i2−2i2−2i22i222−22−222200000000000000000000−2i2i2i−2i0000000000000
χ674-4-444-4-440000000000000000002i2−2i2−2i22i2−222222−22000000000000000000002i−2i−2i2i0000000000000
χ684-4-444-4-44000000000000000000−2i22i22i2−2i222−22−2222000000000000000000002i−2i−2i2i0000000000000
χ694-4-444-4-44000000000000000000−2i22i22i2−2i2−222222−2200000000000000000000−2i2i2i−2i0000000000000
χ704-4-4-4-444444-4-444-4-4000040000-4000000000000000000000000000000000000000000000
χ71888-8-8-8-88000000000000000000000000000000000000000000000000000000000000000

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