Finite Group Databasebeta

← Group #309581

Character table — Group #309581

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size111111112222222244444444444444444488888888888888888888888816161616161616161616161632
order12222222444444444444444444888888884444444488888888888888884444444488884
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11111-1-1111111-1-111-1-1-1-11111-1-1-1-1111-1-111-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-111111
χ511111111111111111111-1-1-1-111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-11-1-111-1
χ611111111111111111111-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111-1-11
χ711111111111111111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-111-1-1-111-1-11
χ811111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111111-1-1-1-1-111-1
χ91111111111111111-1-1-1-111111111111111-1-1-1-1111111111111-1-1-1-111111-1-1-1-1-1-1-111-1-1-1
χ101111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1111
χ111111111111111111-1-1-1-1111111-1-1-1-1111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-11-1-1111
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111-11111-1-1111-1-1-1
χ131111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1111111-1-1-1-1-11
χ141111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11-1-11111-11111-1
χ151111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-11111111-1
χ161111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111111111111-1-1-1-1111-1-1-1-11
χ1722222222222-2-2-2-2200002222-2-2000022220000-2-22200-2-2000000000000-2000000000000
χ1822222222222-2-2-2-2200002222-2-20000-2-2-2-20000-2-2-2-200220000000000002000000000000
χ1922222222222-2-2-2-220000-2-2-2-2-2-200002222000022-2-200-2-20000000000002000000000000
χ2022222222222-2-2-2-220000-2-2-2-2-2-20000-2-2-2-2000022220022000000000000-2000000000000
χ2122222222-2-2-22222-222220000-2-22222000022-2-20000-2-2000000000000000000000-200000
χ2222222222-2-2-22222-222220000-2-2-2-2-2-20000-2-2-2-2000022000000000000000000000200000
χ2322222222-2-2-22222-2-2-2-2-20000-2-222220000-2-2220000-2-2000000000000000000000200000
χ2422222222-2-2-22222-2-2-2-2-20000-2-2-2-2-2-200002222000022000000000000000000000-200000
χ252-222-2-2-222-2-222-2-2200002i2i−2i−2i-220000000000002i−2i000000000022-2-2000002i−2i0000000000
χ262-222-2-2-222-2-222-2-2200002i2i−2i−2i-220000000000002i−2i0000000000-2-22200000−2i2i0000000000
χ272-222-2-2-222-2-222-2-220000−2i−2i2i2i-22000000000000−2i2i000000000022-2-200000−2i2i0000000000
χ282-222-2-2-222-2-222-2-220000−2i−2i2i2i-22000000000000−2i2i0000000000-2-222000002i−2i0000000000
χ292-222-2-2-222-2-2-2-22222i2i−2i−2i2i2i−2i−2i2-200000000002i−2i−2i2i000000000000000000000002-2000000
χ302-222-2-2-222-2-2-2-22222i2i−2i−2i−2i−2i2i2i2-200000000002i−2i2i−2i00000000000000000000000-22000000
χ312-222-2-2-222-2-2-2-2222−2i−2i2i2i2i2i−2i−2i2-20000000000−2i2i−2i2i00000000000000000000000-22000000
χ322-222-2-2-222-2-2-2-2222−2i−2i2i2i−2i−2i2i2i2-20000000000−2i2i2i−2i000000000000000000000002-2000000
χ332-222-2-2-22-222-2-222-22i2i−2i−2i0000-220000000000−2i2i0000000022-2-2000000000002i−2i00000000
χ342-222-2-2-22-222-2-222-22i2i−2i−2i0000-220000000000−2i2i00000000-2-22200000000000−2i2i00000000
χ352-222-2-2-22-222-2-222-2−2i−2i2i2i0000-2200000000002i−2i0000000022-2-200000000000−2i2i00000000
χ362-222-2-2-22-222-2-222-2−2i−2i2i2i0000-2200000000002i−2i00000000-2-222000000000002i−2i00000000
χ372-22-222-2-2-22-20000200002-22-20022−2−22i2i−2i−2i0000002i−2i2−2002−22−20000i2i2−i2−i200000000i2−i2000
χ382-22-222-2-2-22-20000200002-22-20022−2−2−2i−2i2i2i000000−2i2i2−2002−22−20000−i2−i2i2i200000000−i2i2000
χ392-22-222-2-2-22-20000200002-22-200−2−2222i2i−2i−2i0000002i−2i−2200−22−220000−i2−i2i2i200000000−i2i2000
χ402-22-222-2-2-22-20000200002-22-200−2−222−2i−2i2i2i000000−2i2i−2200−22−220000i2i2−i2−i200000000i2−i2000
χ412-22-222-2-2-22-2000020000-22-220022−2−22i2i−2i−2i000000−2i2i2−200−22−220000i2i2−i2−i200000000−i2i2000
χ422-22-222-2-2-22-2000020000-22-220022−2−2−2i−2i2i2i0000002i−2i2−200−22−220000−i2−i2i2i200000000i2−i2000
χ432-22-222-2-2-22-2000020000-22-2200−2−2222i2i−2i−2i000000−2i2i−22002−22−20000−i2−i2i2i200000000i2−i2000
χ442-22-222-2-2-22-2000020000-22-2200−2−222−2i−2i2i2i0000002i−2i−22002−22−20000i2i2−i2−i200000000−i2i2000
χ452-2-22-222-20002-22-202i−2i2i−2i0000002i−2i2i−2ii2−i2i2−i22-200000000i2−i200002−22−22−22−20000000000i2−i20
χ462-2-22-222-20002-22-202i−2i2i−2i0000002i−2i2i−2i−i2i2−i2i22-200000000−i2i20000−22−22−22−220000000000−i2i20
χ472-2-22-222-20002-22-202i−2i2i−2i000000−2i2i−2i2ii2−i2i2−i2-2200000000i2−i200002−22−2−22−220000000000−i2i20
χ482-2-22-222-20002-22-202i−2i2i−2i000000−2i2i−2i2i−i2i2−i2i2-2200000000−i2i20000−22−222−22−20000000000i2−i20
χ492-2-22-222-20002-22-20−2i2i−2i2i0000002i−2i2i−2ii2−i2i2−i2-2200000000i2−i20000−22−222−22−20000000000−i2i20
χ502-2-22-222-20002-22-20−2i2i−2i2i0000002i−2i2i−2i−i2i2−i2i2-2200000000−i2i200002−22−2−22−220000000000i2−i20
χ512-2-22-222-20002-22-20−2i2i−2i2i000000−2i2i−2i2ii2−i2i2−i22-200000000i2−i20000−22−22−22−220000000000i2−i20
χ522-2-22-222-20002-22-20−2i2i−2i2i000000−2i2i−2i2i−i2i2−i2i22-200000000−i2i200002−22−22−22−20000000000−i2i20
χ5344444444-4-4-4-4-4-4-4-40000000044000000000000000000000000000000000000000000000
χ54444-4-4-44-444-40000-400000000000000000000000000000022−22−2222000000000000000000000
χ55444-4-4-44-444-40000-4000000000000000000000000000000−222222−22000000000000000000000
χ56444-4-4-44-4-4-440000400004i−4i−4i4i00000000000000000000000000000000000000000000000
χ57444-4-4-44-4-4-44000040000−4i4i4i−4i00000000000000000000000000000000000000000000000
χ5844-444-4-4-40004-4-440000000000000000000000000000000000022−22−222200000000000000000
χ5944-444-4-4-40004-4-4400000000000000000000000000000000000−222222−2200000000000000000
χ6044-444-4-4-4000-444-404-4-44000000000000000000000000000000000000000000000000000
χ6144-444-4-4-4000-444-40-444-4000000000000000000000000000000000000000000000000000
χ6244-4-4-44-440000000000000000002i2−2i2−2i22i222−22−222200000000000000000000−2i2i2i−2i0000000000000
χ6344-4-4-44-440000000000000000002i2−2i2−2i22i2−222222−22000000000000000000002i−2i−2i2i0000000000000
χ6444-4-4-44-44000000000000000000−2i22i22i2−2i222−22−2222000000000000000000002i−2i−2i2i0000000000000
χ6544-4-4-44-44000000000000000000−2i22i22i2−2i2−222222−2200000000000000000000−2i2i2i−2i0000000000000
χ664-444-4-4-44-44444-4-4-4000000004-4000000000000000000000000000000000000000000000
χ674-44-444-4-44-440000-400000000002222−22−22000000000000−2222000000000000000000000000000
χ684-44-444-4-44-440000-40000000000−22−22222200000000000022−22000000000000000000000000000
χ694-4-44-444-4000-44-440000000000000002i2−2i22i2−2i20000000000−2i22i20000000000000000000000000
χ704-4-44-444-4000-44-44000000000000000−2i22i2−2i22i200000000002i2−2i20000000000000000000000000
χ718-8-8-88-888000000000000000000000000000000000000000000000000000000000000000

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