Finite Group Databasebeta

← Group #310125

Character table — Group #310125

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size111111112222222244444444444444444488888888888888888888888816161616161616161616161632
order12222222444444444444444444888888884444444488888888888888882444444488884
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-1-11-1-11111-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1111111-1-11111-1-1111111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111111
χ511111111111111111111-1-1-1-111111111111111-1-1-1-111111111-1-1-1-11111-11-1-1-1-1-1-111-1-1-1
χ611111111111111111111-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111
χ711111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1111
χ811111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111-111-1-11111-1-1-1
χ91111111111111111-1-1-1-111111111111111-1-1-1-111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-111-1
χ101111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-111-1-1-1-111-1-11
χ111111111111111111-1-1-1-1111111-1-1-1-11111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1111-1-111-1-111-1
χ131111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11
χ141111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11-1-1-111111111-1
χ151111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-111111-1-11111-1
χ161111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111111111-1-111-1-1-1-1-1-11
χ17222222222-22-2-222-200002222-2-2000022220000-2-22200-2-2000000000000-2000000000000
χ18222222222-22-2-222-200002222-2-20000-2-2-2-20000-2-2-2-200220000000000002000000000000
χ19222222222-22-2-222-20000-2-2-2-2-2-200002222000022-2-200-2-20000000000002000000000000
χ20222222222-22-2-222-20000-2-2-2-2-2-20000-2-2-2-2000022220022000000000000-2000000000000
χ2122222222-22-222-2-2222220000-2-222220000-2-2220000-2-2000000000000000-200000000000
χ2222222222-22-222-2-2222220000-2-2-2-2-2-20000-2-2-2-2000022000000000000000200000000000
χ2322222222-22-222-2-22-2-2-2-20000-2-22222000022-2-20000-2-2000000000000000200000000000
χ2422222222-22-222-2-22-2-2-2-20000-2-2-2-2-2-200002222000022000000000000000-200000000000
χ252-2222-2-2-2-20-20022000002i2i−2i−2i0022−2−222-2-20000002i−2i2−2000000i2i2−i2−i222−2−20000000000i2−i20
χ262-2222-2-2-2-20-20022000002i2i−2i−2i0022−2−2-2-222000000−2i2i2−2000000i2i2−i2−i2−2−2220000000000−i2i20
χ272-2222-2-2-2-20-20022000002i2i−2i−2i00−2−22222-2-20000002i−2i−22000000−i2−i2i2i2−2−2220000000000−i2i20
χ282-2222-2-2-2-20-20022000002i2i−2i−2i00−2−222-2-222000000−2i2i−22000000−i2−i2i2i222−2−20000000000i2−i20
χ292-2222-2-2-2-20-2002200000−2i−2i2i2i0022−2−222-2-2000000−2i2i2−2000000−i2−i2i2i222−2−20000000000−i2i20
χ302-2222-2-2-2-20-2002200000−2i−2i2i2i0022−2−2-2-2220000002i−2i2−2000000−i2−i2i2i2−2−2220000000000i2−i20
χ312-2222-2-2-2-20-2002200000−2i−2i2i2i00−2−22222-2-2000000−2i2i−22000000i2i2−i2−i2−2−2220000000000i2−i20
χ322-2222-2-2-2-20-2002200000−2i−2i2i2i00−2−222-2-2220000002i−2i−22000000i2i2−i2−i222−2−20000000000−i2i20
χ332-22-2-2-22222-2-2-22-2200002i−2i2i−2i2-20000000000002i−2i00000022-2-200000000002i−2i000000000
χ342-22-2-2-22222-2-2-22-2200002i−2i2i−2i2-20000000000002i−2i000000-2-2220000000000−2i2i000000000
χ352-22-2-2-22222-2-2-22-220000−2i2i−2i2i2-2000000000000−2i2i00000022-2-20000000000−2i2i000000000
χ362-22-2-2-22222-2-2-22-220000−2i2i−2i2i2-2000000000000−2i2i000000-2-22200000000002i−2i000000000
χ372-22-2-2-2222-2-2222-2-22i2i−2i−2i2i−2i2i−2i-22000000002i−2i00−2i2i00000000000000000000002-20000000
χ382-22-2-2-2222-2-2222-2-22i2i−2i−2i−2i2i−2i2i-22000000002i−2i002i−2i0000000000000000000000-220000000
χ392-22-2-2-2222-2-2222-2-2−2i−2i2i2i2i−2i2i−2i-2200000000−2i2i00−2i2i0000000000000000000000-220000000
χ402-22-2-2-2222-2-2222-2-2−2i−2i2i2i−2i2i−2i2i-2200000000−2i2i002i−2i00000000000000000000002-20000000
χ412-22-2-2-222-2-2222-22-22i2i−2i−2i00002-200000000−2i2i000000000000002i−2i2i−2i00000000002-200000
χ422-22-2-2-222-2-2222-22-22i2i−2i−2i00002-200000000−2i2i00000000000000−2i2i−2i2i0000000000-2200000
χ432-22-2-2-222-2-2222-22-2−2i−2i2i2i00002-2000000002i−2i000000000000002i−2i2i−2i0000000000-2200000
χ442-22-2-2-222-2-2222-22-2−2i−2i2i2i00002-2000000002i−2i00000000000000−2i2i−2i2i00000000002-200000
χ452-2-2-2222-20202-200-22-22-20000002i−2i2i−2i2−22−2002i−2i0000002−22−22−20000i2−i2i2−i200000000i2−i2000
χ462-2-2-2222-20202-200-22-22-20000002i−2i2i−2i−22−22002i−2i000000−22−22−220000−i2i2−i2i200000000−i2i2000
χ472-2-2-2222-20202-200-22-22-2000000−2i2i−2i2i2−22−200−2i2i0000002−22−22−20000−i2i2−i2i200000000−i2i2000
χ482-2-2-2222-20202-200-22-22-2000000−2i2i−2i2i−22−2200−2i2i000000−22−22−220000i2−i2i2−i200000000i2−i2000
χ492-2-2-2222-20202-200-2-22-220000002i−2i2i−2i2−22−200−2i2i0000002−2−22−220000i2−i2i2−i200000000−i2i2000
χ502-2-2-2222-20202-200-2-22-220000002i−2i2i−2i−22−2200−2i2i000000−222−22−20000−i2i2−i2i200000000i2−i2000
χ512-2-2-2222-20202-200-2-22-22000000−2i2i−2i2i2−22−2002i−2i0000002−2−22−220000−i2i2−i2i200000000i2−i2000
χ522-2-2-2222-20202-200-2-22-22000000−2i2i−2i2i−22−22002i−2i000000−222−22−20000i2−i2i2−i200000000−i2i2000
χ5344444444-4-4-4-4-4-4-4-40000000044000000000000000000000000000000000000000000000
χ54444-4-44-4-440-400-440000000000000000000000000000000000022−22−222200000000000000000
χ55444-4-44-4-440-400-4400000000000000000000000000000000000−222222−2200000000000000000
χ56444-4-44-4-4-404004-4000004-4-4400000000000000000000000000000000000000000000000
χ57444-4-44-4-4-404004-400000-444-400000000000000000000000000000000000000000000000
χ5844-44-4-44-4040-4400-400000000000000000000000000000022−22−2222000000000000000000000
χ5944-44-4-44-4040-4400-4000000000000000000000000000000−222222−22000000000000000000000
χ6044-44-4-44-40-404-40044i−4i−4i4i000000000000000000000000000000000000000000000000000
χ6144-44-4-44-40-404-4004−4i4i4i−4i000000000000000000000000000000000000000000000000000
χ6244-4-44-4-440000000000000000002i2−2i2−2i22i222−22−2222000000000000000000002i−2i−2i2i0000000000000
χ6344-4-44-4-440000000000000000002i2−2i2−2i22i2−222222−2200000000000000000000−2i2i2i−2i0000000000000
χ6444-4-44-4-44000000000000000000−2i22i22i2−2i222−22−222200000000000000000000−2i2i2i−2i0000000000000
χ6544-4-44-4-44000000000000000000−2i22i22i2−2i2−222222−22000000000000000000002i−2i−2i2i0000000000000
χ664-4444-4-4-440400-4-4000000000002222−22−22000000000000−2222000000000000000000000000000
χ674-4444-4-4-440400-4-400000000000−22−22222200000000000022−22000000000000000000000000000
χ684-44-4-4-444-444-4-4-44400000000-44000000000000000000000000000000000000000000000
χ694-4-4-4444-40-40-440040000000000000022−2222−220000000000−22220000000000000000000000000
χ704-4-4-4444-40-40-4400400000000000000−2222−2222000000000022−220000000000000000000000000
χ718-8-88-88-88000000000000000000000000000000000000000000000000000000000000000

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