Finite Group Databasebeta

← Group #269607

Character table — Group #269607

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size111111112222222244444444444444444488888888888888888888888816161616161616161616161632
order12222222444444442222222244888888884444444488888888888888882244444488884
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-1111-111-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-111111111-1-111-1-111-1-1-1-11111-1-1-1-111-11-1-111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111
χ511111111111111111111-1-1-1-1111111111111-1-1-1-11111111111-1-1-1-11111-1-1-11-1-1-1-111-1-1-1
χ611111111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1111
χ711111111111111111111-1-1-1-111-1-1-1-1111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111
χ811111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-11-1111111-1-1-1
χ91111111111111111-1-1-1-111111111111111-1-11111-1-11111-1-1-1-111111111-1-11-1-1-1-1-1-1-111-1
χ101111111111111111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11
χ111111111111111111-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-11
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-111111-1-111-1
χ131111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11
χ141111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1111-1-11111-1
χ151111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1111111-1
χ161111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11
χ17222222222-2-22-222-200002222-2-22222000000-2-22200-2-20000000000000000-20000000000
χ18222222222-2-22-222-200002222-2-2-2-2-2-2000000-2-2-2-20022000000000000000020000000000
χ19222222222-2-22-222-20000-2-2-2-2-2-2222200000022-2-200-2-2000000000000000020000000000
χ20222222222-2-22-222-20000-2-2-2-2-2-2-2-2-2-2000000222200220000000000000000-20000000000
χ2122222222-222-22-2-2222220000-2-200002222-2-200002200-2-2000000000000000-2000000000
χ2222222222-222-22-2-2222220000-2-20000-2-2-2-2-2-20000-2-200220000000000000002000000000
χ2322222222-222-22-2-22-2-2-2-20000-2-200002222220000-2-200-2-20000000000000002000000000
χ2422222222-222-22-2-22-2-2-2-20000-2-20000-2-2-2-2220000220022000000000000000-2000000000
χ2522-2-22-22-2200-20-220000022-2-20022-2-2i2i2−i2−i200002-20000i2−i20000i2i2−i2−i2i2i2−i2−i20000000000i2−i20
χ2622-2-22-22-2200-20-220000022-2-20022-2-2−i2−i2i2i200002-20000−i2i20000−i2−i2i2i2−i2−i2i2i20000000000−i2i20
χ2722-2-22-22-2200-20-220000022-2-200-2-222i2i2−i2−i20000-220000i2−i20000i2i2−i2−i2−i2−i2i2i20000000000−i2i20
χ2822-2-22-22-2200-20-220000022-2-200-2-222−i2−i2i2i20000-220000−i2i20000−i2−i2i2i2i2i2−i2−i20000000000i2−i20
χ2922-2-22-22-2200-20-2200000-2-2220022-2-2i2i2−i2−i20000-220000i2−i20000−i2−i2i2i2i2i2−i2−i20000000000−i2i20
χ3022-2-22-22-2200-20-2200000-2-2220022-2-2−i2−i2i2i20000-220000−i2i20000i2i2−i2−i2−i2−i2i2i20000000000i2−i20
χ3122-2-22-22-2200-20-2200000-2-22200-2-222i2i2−i2−i200002-20000i2−i20000−i2−i2i2i2−i2−i2i2i20000000000i2−i20
χ3222-2-22-22-2200-20-2200000-2-22200-2-222−i2−i2i2i200002-20000−i2i20000i2i2−i2−i2i2i2−i2−i20000000000−i2i20
χ332-2-22-222-202-20200-222-2-20000002−22−22i−2i2i−2i0000002i−2i2−20022−2−20000i2−i2i2−i200000000i2−i2000
χ342-2-22-222-202-20200-222-2-20000002−22−2−2i2i−2i2i000000−2i2i2−20022−2−20000−i2i2−i2i200000000−i2i2000
χ352-2-22-222-202-20200-222-2-2000000−22−222i−2i2i−2i0000002i−2i−2200−2−2220000−i2i2−i2i200000000−i2i2000
χ362-2-22-222-202-20200-222-2-2000000−22−22−2i2i−2i2i000000−2i2i−2200−2−2220000i2−i2i2−i200000000i2−i2000
χ372-2-22-222-202-20200-2-2-2220000002−22−22i−2i2i−2i000000−2i2i2−200−2−2220000i2−i2i2−i200000000−i2i2000
χ382-2-22-222-202-20200-2-2-2220000002−22−2−2i2i−2i2i0000002i−2i2−200−2−2220000−i2i2−i2i200000000i2−i2000
χ392-2-22-222-202-20200-2-2-222000000−22−222i−2i2i−2i000000−2i2i−220022−2−20000−i2i2−i2i200000000i2−i2000
χ402-2-22-222-202-20200-2-2-222000000−22−22−2i2i−2i2i0000002i−2i−220022−2−20000i2−i2i2−i200000000−i2i2000
χ412-2-2-222-22222-2-22-2-200002-22-22-200000000002-2000000002i−2i2i−2i0000000000002i−2i0000000
χ422-2-2-222-22222-2-22-2-200002-22-22-200000000002-200000000−2i2i−2i2i000000000000−2i2i0000000
χ432-2-2-222-22222-2-22-2-20000-22-222-20000000000-22000000002i−2i2i−2i000000000000−2i2i0000000
χ442-2-2-222-22222-2-22-2-20000-22-222-20000000000-2200000000−2i2i−2i2i0000000000002i−2i0000000
χ452-2-2-222-222-2-2-222-222-22-22-22-2-22000000002-2-22000000000000000000002-200000000000
χ462-2-2-222-222-2-2-222-222-22-2-22-22-22000000002-22-200000000000000000000-2200000000000
χ472-2-2-222-222-2-2-222-22-22-222-22-2-2200000000-22-2200000000000000000000-2200000000000
χ482-2-2-222-222-2-2-222-22-22-22-22-22-2200000000-222-2000000000000000000002-200000000000
χ492-2-2-222-22-2-2-222-2222-22-200002-200000000-22000000000000002-22-200000000002-200000
χ502-2-2-222-22-2-2-222-2222-22-200002-200000000-2200000000000000-22-220000000000-2200000
χ512-2-2-222-22-2-2-222-222-22-2200002-2000000002-2000000000000002-22-20000000000-2200000
χ522-2-2-222-22-2-2-222-222-22-2200002-2000000002-200000000000000-22-2200000000002-200000
χ5344444444-4-4-4-4-4-4-4-40000000044000000000000000000000000000000000000000000000
χ54444-4-44-4-404-40-40040000000000000000000000000000002i2−2i2−2i22i2000000000000000000000
χ55444-4-44-4-404-40-4004000000000000000000000000000000−2i22i22i2−2i2000000000000000000000
χ56444-4-44-4-40-440400-44-4-44000000000000000000000000000000000000000000000000000
χ57444-4-44-4-40-440400-4-444-4000000000000000000000000000000000000000000000000000
χ5844-4-44-44-4-400404-40000000000000002i22i2−2i2−2i20000000000−2i22i20000000000000000000000000
χ5944-4-44-44-4-400404-4000000000000000−2i2−2i22i22i200000000002i2−2i20000000000000000000000000
χ604-4444-4-4-440040-4-4000004-4-4400000000000000000000000000000000000000000000000
χ614-4444-4-4-440040-4-400000-444-400000000000000000000000000000000000000000000000
χ624-4444-4-4-4-400-4044000000000000000000000000000000000002i2−2i2−2i22i200000000000000000
χ634-4444-4-4-4-400-404400000000000000000000000000000000000−2i22i22i2−2i200000000000000000
χ644-44-4-4-44400000000000000000022−22−222222−22−2222000000000000000000002-2-220000000000000
χ654-44-4-4-44400000000000000000022−22−2222−222222−2200000000000000000000-222-20000000000000
χ664-44-4-4-444000000000000000000−222222−2222−22−222200000000000000000000-222-20000000000000
χ674-44-4-4-444000000000000000000−222222−22−222222−22000000000000000000002-2-220000000000000
χ684-4-44-444-40-440-4004000000000022−2222−22000000000000−2222000000000000000000000000000
χ694-4-44-444-40-440-40040000000000−2222−222200000000000022−22000000000000000000000000000
χ704-4-4-444-44-4444-4-44-400000000-44000000000000000000000000000000000000000000000
χ7188-88-8-8-88000000000000000000000000000000000000000000000000000000000000000

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