Finite Group Databasebeta

← Group #309539

Character table — Group #309539

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size111111112222222244444444444444444488888888888888888888888816161616161616161616161632
order12222222444444444444444444888888884444444488888888888888882444444488884
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11111-1-1111111-1-111-1-1-1-11111-1-1-1-1111-1-1-111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-111111
χ5111111111111111111111-1-1-1-11111111111111-1-1-1-11111-1-1-1-111111111-1-1-11-1-1-1-1-1-111-1
χ6111111111111111111111-1-1-1-111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-11111-1-11
χ7111111111111111111111-1-1-1-11-1-1-1-11111-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-11
χ8111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111-1-1-11111-1-111-1
χ91111111111111111-1-1-1-111111111111111-1-1-1-1111111111111-1-1-1-111111-1-1-1-1-1-1-111-1-1-1
χ101111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1111
χ111111111111111111-1-1-1-1111111-1-1-1-1111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-1111
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-11111111-1-1-1
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
χ141111111111111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1111-111-1-11111-1
χ151111111111111111-1-1-1-11-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1111-1-1111111-1
χ161111111111111111-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11
χ1722222222222-2-2-2-220000-22222-200002222000022-2-200-2-2000000000000-2000000000000
χ1822222222222-2-2-2-220000-22222-20000-2-2-2-20000-2-2-2-200220000000000002000000000000
χ1922222222222-2-2-2-220000-2-2-2-2-2-2000022220000-2-22200-2-20000000000002000000000000
χ2022222222222-2-2-2-220000-2-2-2-2-2-20000-2-2-2-2000022220022000000000000-2000000000000
χ2122222222-2-2-22222-22222-20000-22222000022-2-20000-2-200000000000000000-2000000000
χ2222222222-2-2-22222-22222-20000-2-2-2-2-20000-2-2-2-2000022000000000000000002000000000
χ2322222222-2-2-22222-2-2-2-2-2-20000-222220000-2-2220000-2-2000000000000000002000000000
χ2422222222-2-2-22222-2-2-2-2-2-20000-2-2-2-2-20000222200002200000000000000000-2000000000
χ2522-2-22-2-220002-22-2022-2-20000002i2i−2i−2ii2i2−i2−i22i−2i00000000i2−i20000i2i2−i2−i222−2−200000000002−20
χ2622-2-22-2-220002-22-2022-2-20000002i2i−2i−2i−i2−i2i2i22i−2i00000000−i2i20000−i2−i2i2i2−2−2220000000000−220
χ2722-2-22-2-220002-22-2022-2-2000000−2i−2i2i2ii2i2−i2−i2−2i2i00000000i2−i20000i2i2−i2−i2−2−2220000000000−220
χ2822-2-22-2-220002-22-2022-2-2000000−2i−2i2i2i−i2−i2i2i2−2i2i00000000−i2i20000−i2−i2i2i222−2−200000000002−20
χ2922-2-22-2-220002-22-20-2-2220000002i2i−2i−2ii2i2−i2−i2−2i2i00000000i2−i20000−i2−i2i2i222−2−20000000000−220
χ3022-2-22-2-220002-22-20-2-2220000002i2i−2i−2i−i2−i2i2i2−2i2i00000000−i2i20000i2i2−i2−i2−2−22200000000002−20
χ3122-2-22-2-220002-22-20-2-222000000−2i−2i2i2ii2i2−i2−i22i−2i00000000i2−i20000−i2−i2i2i2−2−22200000000002−20
χ3222-2-22-2-220002-22-20-2-222000000−2i−2i2i2i−i2−i2i2i22i−2i00000000−i2i20000i2i2−i2−i222−2−20000000000−220
χ332-22-222-2-22-2-222-2-220000-22i2i−2i−2i2000000000000002i−2i000000002-22-200000000002i−2i00000
χ342-22-222-2-22-2-222-2-220000-22i2i−2i−2i2000000000000002i−2i00000000-22-220000000000−2i2i00000
χ352-22-222-2-22-2-222-2-220000-2−2i−2i2i2i200000000000000−2i2i000000002-22-20000000000−2i2i00000
χ362-22-222-2-22-2-222-2-220000-2−2i−2i2i2i200000000000000−2i2i00000000-22-2200000000002i−2i00000
χ372-22-222-2-22-2-2-2-22222i−2i2i−2i22i2i−2i−2i-200000000002i−2i00−2i2i000000000000000002-20000000000
χ382-22-222-2-22-2-2-2-22222i−2i2i−2i2−2i−2i2i2i-200000000002i−2i002i−2i00000000000000000-220000000000
χ392-22-222-2-22-2-2-2-2222−2i2i−2i2i22i2i−2i−2i-20000000000−2i2i00−2i2i00000000000000000-220000000000
χ402-22-222-2-22-2-2-2-2222−2i2i−2i2i2−2i−2i2i2i-20000000000−2i2i002i−2i000000000000000002-20000000000
χ412-22-222-2-2-222-2-222-22i−2i2i−2i-2000020000000000−2i2i0000000022-2-20000000000002i−2i0000000
χ422-22-222-2-2-222-2-222-22i−2i2i−2i-2000020000000000−2i2i00000000-2-222000000000000−2i2i0000000
χ432-22-222-2-2-222-2-222-2−2i2i−2i2i-20000200000000002i−2i0000000022-2-2000000000000−2i2i0000000
χ442-22-222-2-2-222-2-222-2−2i2i−2i2i-20000200000000002i−2i00000000-2-2220000000000002i−2i0000000
χ452-2-2-2-222222-20000-2000002i−2i2i−2i02−22−22-22-200002i−2i002−200i2−i2i2−i200002−22−200000000i2−i2000
χ462-2-2-2-222222-20000-2000002i−2i2i−2i02−22−2-22-220000−2i2i002−200i2−i2i2−i20000−22−2200000000−i2i2000
χ472-2-2-2-222222-20000-2000002i−2i2i−2i0−22−222-22-200002i−2i00−2200−i2i2−i2i20000−22−2200000000−i2i2000
χ482-2-2-2-222222-20000-2000002i−2i2i−2i0−22−22-22-220000−2i2i00−2200−i2i2−i2i200002−22−200000000i2−i2000
χ492-2-2-2-222222-20000-200000−2i2i−2i2i02−22−22-22-20000−2i2i002−200−i2i2−i2i200002−22−200000000−i2i2000
χ502-2-2-2-222222-20000-200000−2i2i−2i2i02−22−2-22-2200002i−2i002−200−i2i2−i2i20000−22−2200000000i2−i2000
χ512-2-2-2-222222-20000-200000−2i2i−2i2i0−22−222-22-20000−2i2i00−2200i2−i2i2−i20000−22−2200000000i2−i2000
χ522-2-2-2-222222-20000-200000−2i2i−2i2i0−22−22-22-2200002i−2i00−2200i2−i2i2−i200002−22−200000000−i2i2000
χ5344444444-4-4-4-4-4-4-4-40000400004000000000000000000000000000000000000000000000
χ5444-44-44-4-44-440000-4000004-4-440000000000000000000000000000000000000000000000
χ5544-44-44-4-44-440000-400000-444-40000000000000000000000000000000000000000000000
χ5644-44-44-4-4-44-4000040000000000000000000000000000002i2−2i2−2i22i2000000000000000000000
χ5744-44-44-4-4-44-400004000000000000000000000000000000−2i22i22i2−2i2000000000000000000000
χ5844-4-44-4-44000-44-440000000000000002i22i2−2i2−2i20000000000−2i22i20000000000000000000000000
χ5944-4-44-4-44000-44-44000000000000000−2i2−2i22i22i200000000002i2−2i20000000000000000000000000
χ604-444-4-4-440000000000000000002i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000002-2-220000000000000
χ614-444-4-4-440000000000000000002i2−2i2−2i22i2−2i22i22i2−2i200000000000000000000-222-20000000000000
χ624-444-4-4-44000000000000000000−2i22i22i2−2i22i2−2i2−2i22i200000000000000000000-222-20000000000000
χ634-444-4-4-44000000000000000000−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000002-2-220000000000000
χ644-44-444-4-4-44444-4-4-4000040000-4000000000000000000000000000000000000000000000
χ654-4-444-44-40004-4-44000000000000000000000000000000000002i2−2i2−2i22i200000000000000000
χ664-4-444-44-40004-4-4400000000000000000000000000000000000−2i22i22i2−2i200000000000000000
χ674-4-444-44-4000-444-404i−4i−4i4i000000000000000000000000000000000000000000000000000
χ684-4-444-44-4000-444-40−4i4i4i−4i000000000000000000000000000000000000000000000000000
χ694-4-4-4-4444-4-4400004000000000022−2222−22000000000000−2222000000000000000000000000000
χ704-4-4-4-4444-4-44000040000000000−2222−222200000000000022−22000000000000000000000000000
χ71888-8-8-88-8000000000000000000000000000000000000000000000000000000000000000

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