Finite Group Databasebeta

← Group #102849

Character table — Group #102849

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222222224444444444888888888888888888888888161616161616161632323232
order12222222222244444444444444888888888888888888888888444444444444
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11-11-1
χ611111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-11
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-11-11
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111-11-1
χ92222222222222222-2-2-2-222-2-2-2-22222-2-2-2-20000000000000000000000000000
χ102222222222222222-2-2-2-222-2-2-2-2-2-2-2-222220000000000000000000000000000
χ11222222222222-2-2-2-222-2-2-2-222-2-200000000000000002222-2-2-2-2000000000000
χ12222222222222-2-2-2-222-2-2-2-222-2-20000000000000000-2-2-2-22222000000000000
χ13222222222222-2-2-2-2-2-222-2-2-2-222000000002222-2-2-2-200000000000000000000
χ14222222222222-2-2-2-2-2-222-2-2-2-22200000000-2-2-2-2222200000000000000000000
χ1522222222-2-2-2-2222222-2-2-2-2-2-2220000000000000000000000000000000020-20
χ1622222222-2-2-2-2222222-2-2-2-2-2-22200000000000000000000000000000000-2020
χ1722222222-2-2-2-22222-2-222-2-222-2-200000000000000000000000000000000020-2
χ1822222222-2-2-2-22222-2-222-2-222-2-2000000000000000000000000000000000-202
χ1922222222-2-2-2-2-2-2-2-2222222-2-2-2-200000000000000000000000000002i2i−2i−2i0000
χ2022222222-2-2-2-2-2-2-2-2222222-2-2-2-20000000000000000000000000000−2i−2i2i2i0000
χ2122222222-2-2-2-2-2-2-2-2-2-2-2-222222200000000000000000000000022-2-200000000
χ2222222222-2-2-2-2-2-2-2-2-2-2-2-2222222000000000000000000000000-2-22200000000
χ2322-22-22-2-22-2-220000002-200002-222−2−222−2−200002i2i−2i−2ii2i2−i2−i2i2i2−i2−i2000000000000
χ2422-22-22-2-22-2-220000002-200002-222−2−222−2−20000−2i−2i2i2i−i2−i2i2i2−i2−i2i2i2000000000000
χ2522-22-22-2-22-2-220000002-200002-2−2−222−2−22200002i2i−2i−2i−i2−i2i2i2−i2−i2i2i2000000000000
χ2622-22-22-2-22-2-220000002-200002-2−2−222−2−2220000−2i−2i2i2ii2i2−i2−i2i2i2−i2−i2000000000000
χ2722-22-22-2-22-2-22000000-220000-2222−2−2−2−2222i2i−2i−2i0000i2i2−i2−i2−i2−i2i2i2000000000000
χ2822-22-22-2-22-2-22000000-220000-2222−2−2−2−222−2i−2i2i2i0000−i2−i2i2i2i2i2−i2−i2000000000000
χ2922-22-22-2-22-2-22000000-220000-22−2−22222−2−22i2i−2i−2i0000−i2−i2i2i2i2i2−i2−i2000000000000
χ3022-22-22-2-22-2-22000000-220000-22−2−22222−2−2−2i−2i2i2i0000i2i2−i2−i2−i2−i2i2i2000000000000
χ312-22-222-2-2-22-2200002-200002-2002−22−22−22−2i2−i2i2−i2i2−i2i2−i200002i−2i2i−2i000000000000
χ322-22-222-2-2-22-2200002-200002-2002−22−22−22−2−i2i2−i2i2−i2i2−i2i20000−2i2i−2i2i000000000000
χ332-22-222-2-2-22-2200002-200002-200−22−22−22−22i2−i2i2−i2i2−i2i2−i20000−2i2i−2i2i000000000000
χ342-22-222-2-2-22-2200002-200002-200−22−22−22−22−i2i2−i2i2−i2i2−i2i200002i−2i2i−2i000000000000
χ352-22-222-2-2-22-220000-220000-22002−22−2−22−22i2−i2i2−i2−i2i2−i2i22i−2i2i−2i0000000000000000
χ362-22-222-2-2-22-220000-220000-22002−22−2−22−22−i2i2−i2i2i2−i2i2−i2−2i2i−2i2i0000000000000000
χ372-22-222-2-2-22-220000-220000-2200−22−222−22−2i2−i2i2−i2−i2i2−i2i2−2i2i−2i2i0000000000000000
χ382-22-222-2-2-22-220000-220000-2200−22−222−22−2−i2i2−i2i2i2−i2i2−i22i−2i2i−2i0000000000000000
χ392-2-2-2-2222-2-2222-22-200002-2000000002-2-222−2−222−2−222−2−222−2−22000000000000
χ402-2-2-2-2222-2-2222-22-200002-2000000002-2-22−222−2−222−2−222−2−222−2000000000000
χ412-2-2-2-2222-2-2222-22-200002-200000000-222-22−2−222−2−22−222−2−222−2000000000000
χ422-2-2-2-2222-2-2222-22-200002-200000000-222-2−222−2−222−22−2−222−2−22000000000000
χ432-2-2-2-2222-2-222-22-220000-2200002-2-2200002−2−22−222−22−2−22−222−2000000000000
χ442-2-2-2-2222-2-222-22-220000-2200002-2-220000−222−22−2−22−222−22−2−22000000000000
χ452-2-2-2-2222-2-222-22-220000-220000-222-200002−2−22−222−2−222−22−2−22000000000000
χ462-2-2-2-2222-2-222-22-220000-220000-222-20000−222−22−2−222−2−22−222−2000000000000
χ47444-4-4-4-44000044-4-4000000000000000000000000000000000000002-22-20000
χ48444-4-4-4-44000044-4-400000000000000000000000000000000000000-22-220000
χ49444-4-4-4-440000-4-444000000000000000000000000000000000000002i−2i−2i2i0000
χ50444-4-4-4-440000-4-44400000000000000000000000000000000000000−2i2i2i−2i0000
χ5144-44-44-4-4-444-40000004-40000-44000000000000000000000000000000000000
χ5244-44-44-4-4-444-4000000-4400004-4000000000000000000000000000000000000
χ534-44-444-4-44-44-400004-40000-4400000000000000000000000000000000000000
χ544-44-444-4-44-44-40000-4400004-400000000000000000000000000000000000000
χ554-4-444-4-4400004-4-4400000000000000000000000000000000002i−2i2i−2i00000000
χ564-4-444-4-4400004-4-440000000000000000000000000000000000−2i2i−2i2i00000000
χ574-4-444-4-440000-444-400000000000000000000000000000000002i−2i−2i2i00000000
χ584-4-444-4-440000-444-40000000000000000000000000000000000−2i2i2i−2i00000000
χ594-4-4-4-444444-4-44-44-40000-440000000000000000000000000000000000000000
χ604-4-4-4-444444-4-4-44-4400004-40000000000000000000000000000000000000000
χ6188-8-88-88-8000000000000000000000000000000000000000000000000000000
χ628-888-8-88-8000000000000000000000000000000000000000000000000000000

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