Finite Group Databasebeta

← Group #103889

Character table — Group #103889

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111111112222444444444444888888888888888816161616161616161616161632323232
order12222222444444444444444488888888888888884444888888882444
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-111-1
χ6111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-11
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-11
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1
χ922222222222222-2-2-22-2-2-2-2-220000000000000000000022-2-200000000
χ1022222222222222-2-2-22-2-2-2-2-2200000000000000000000-2-22200000000
χ11222222222222-2-222-2-2-2-222-2-20000000000000000000000000000200-2
χ12222222222222-2-222-2-2-2-222-2-20000000000000000000000000000-2002
χ13222222222222-2-2-2-22-222-2-22-2000000000000000022-2-2000000000000
χ14222222222222-2-2-2-22-222-2-22-20000000000000000-2-222000000000000
χ1522222222-2-2-2-22222-2-222-2-2-2-20000000000000000000000002i2i−2i−2i0000
χ1622222222-2-2-2-22222-2-222-2-2-2-2000000000000000000000000−2i−2i2i2i0000
χ1722222222-2-2-2-222-2-22-2-2-2222-2000000000000000000000000000002-20
χ1822222222-2-2-2-222-2-22-2-2-2222-200000000000000000000000000000-220
χ1922222222-2-2-2-2-2-22222-2-2-2-222000000002222-2-2-2-20000000000000000
χ2022222222-2-2-2-2-2-22222-2-2-2-22200000000-2-2-2-222220000000000000000
χ2122222222-2-2-2-2-2-2-2-2-222222-222222-2-2-2-2000000000000000000000000
χ2222222222-2-2-2-2-2-2-2-2-222222-22-2-2-2-22222000000000000000000000000
χ2322-2-2-222-22-22-22-2000200000-2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20000002-200000000
χ2422-2-2-222-22-22-22-2000200000-2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2000000-2200000000
χ2522-2-2-222-22-22-22-2000200000-2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2000000-2200000000
χ2622-2-2-222-22-22-22-2000200000-2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000002-200000000
χ2722-2-2-222-2-22-22-22000200000-2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i200002-20000000000
χ2822-2-2-222-2-22-22-22000200000-2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i20000-220000000000
χ2922-2-2-222-2-22-22-22000200000-2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i20000-220000000000
χ3022-2-2-222-2-22-22-22000200000-2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i200002-20000000000
χ312-22-2-2-22222-2-20000202-200-202−22−22−22−2000000002i−2i000000i2−i2i2−i20000
χ322-22-2-2-22222-2-20000202-200-202−22−22−22−200000000−2i2i000000−i2i2−i2i20000
χ332-22-2-2-22222-2-20000202-200-20−22−22−22−22000000002i−2i000000−i2i2−i2i20000
χ342-22-2-2-22222-2-20000202-200-20−22−22−22−2200000000−2i2i000000i2−i2i2−i20000
χ352-22-2-2-222-2-2220000-202-200202−22−2−22−2200000000002-200002−2−220000
χ362-22-2-2-222-2-2220000-202-200202−22−2−22−220000000000-220000−222−20000
χ372-22-2-2-222-2-2220000-202-20020−22−222−22−200000000002-20000−222−20000
χ382-22-2-2-222-2-2220000-202-20020−22−222−22−20000000000-2200002−2−220000
χ394444-4-4-4-40000000000004-400000000002-22-22-22-20000000000000000
χ404444-4-4-4-40000000000004-40000000000-22-22-22-220000000000000000
χ414444-4-4-4-4000000000000-4400000000002-22-2-22-220000000000000000
χ424444-4-4-4-4000000000000-440000000000-22-222-22-20000000000000000
χ4344-4-44-4-440000004-4000000000000000000002i2−2i2−2i22i20000000000000000
χ4444-4-44-4-440000004-400000000000000000000−2i22i22i2−2i20000000000000000
χ4544-4-44-4-44000000-4400000000000000002i2−2i2−2i22i200000000000000000000
χ4644-4-44-4-44000000-440000000000000000−2i22i22i2−2i200000000000000000000
χ4744-4-4-444-44-44-4-44000-400000400000000000000000000000000000000
χ4844-4-4-444-4-44-444-4000-400000400000000000000000000000000000000
χ494-44-4-4-44444-4-40000-40-44004000000000000000000000000000000000
χ504-44-4-4-444-4-444000040-4400-4000000000000000000000000000000000
χ514-4-444-44-44-4-440000000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000
χ524-4-444-44-44-4-44000000000000−2i2i2i−2i−2i2i2i−2i000000000000000000000000
χ534-4-444-44-4-444-40000000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000
χ544-4-444-44-4-444-4000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000
χ558-88-888-8-8000000000000000000000000000000000000000000000000
χ568-8-88-88-88000000000000000000000000000000000000000000000000

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