Finite Group Databasebeta

← Group #499438

Character table — Group #499438

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size111122222222224444444444888888881616161616161616111122222222224444444444888888881616161616161616
order122222444488884444888888161616161616161644444488222222444488884444888888161616161616161644444488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ511111111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111111111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ711111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1
χ811111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-111
χ92222222222-2-2-2-22222-2-2-2-2-2-200000000000000002222222222-2-2-2-22222-2-2-2-2-2-20000000000000000
χ102222222222-2-2-2-2-2-2-2-2-2-2222200000000000000002222222222-2-2-2-2-2-2-2-2-2-222220000000000000000
χ112222-2-22-22-222220000-2-20000000000000000002i−2i2222-2-22-22-222220000-2-20000000000000000002i−2i
χ122222-2-22-22-222220000-2-2000000000000000000−2i2i2222-2-22-22-222220000-2-2000000000000000000−2i2i
χ132222-2-22-22-2-2-2-2-20000220000000000002-20000002222-2-22-22-2-2-2-2-20000220000000000002-2000000
χ142222-2-22-22-2-2-2-2-2000022000000000000-220000002222-2-22-22-2-2-2-2-2000022000000000000-22000000
χ152222-2-2-22-22000000000022-2-2i2i2−i2−i2i2i2−i2−i2000000002222-2-2-22-22000000000022-2-2i2i2−i2−i2i2i2−i2−i200000000
χ162222-2-2-22-22000000000022-2-2−i2−i2i2i2−i2−i2i2i2000000002222-2-2-22-22000000000022-2-2−i2−i2i2i2−i2−i2i2i200000000
χ172222-2-2-22-220000000000-2-222i2i2−i2−i2−i2−i2i2i2000000002222-2-2-22-220000000000-2-222i2i2−i2−i2−i2−i2i2i200000000
χ182222-2-2-22-220000000000-2-222−i2−i2i2i2i2i2−i2−i2000000002222-2-2-22-220000000000-2-222−i2−i2i2i2i2i2−i2−i200000000
χ1922-2-22-22-2-2200002i2i−2i−2i000000i2−i2i2−i22−22−20000000022-2-22-22-2-2200002i2i−2i−2i000000i2−i2i2−i22−22−200000000
χ2022-2-22-22-2-2200002i2i−2i−2i000000−i2i2−i2i2−22−220000000022-2-22-22-2-2200002i2i−2i−2i000000−i2i2−i2i2−22−2200000000
χ2122-2-22-22-2-220000−2i−2i2i2i000000i2−i2i2−i2−22−220000000022-2-22-22-2-220000−2i−2i2i2i000000i2−i2i2−i2−22−2200000000
χ2222-2-22-22-2-220000−2i−2i2i2i000000−i2i2−i2i22−22−20000000022-2-22-22-2-220000−2i−2i2i2i000000−i2i2−i2i22−22−200000000
χ2322-2-22-2-222-222-2-200002-2000000000000002-2000022-2-22-2-222-222-2-200002-2000000000000002-20000
χ2422-2-22-2-222-222-2-200002-200000000000000-22000022-2-22-2-222-222-2-200002-200000000000000-220000
χ2522-2-22-2-222-2-2-2220000-2200000000000000002i−2i0022-2-22-2-222-2-2-2220000-2200000000000000002i−2i00
χ2622-2-22-2-222-2-2-2220000-220000000000000000−2i2i0022-2-22-2-222-2-2-2220000-220000000000000000−2i2i00
χ2722-2-2-22-2-22222-2-20000-22000000002i−2i−2i2i0000000022-2-2-22-2-22222-2-20000-22000000002i−2i−2i2i00000000
χ2822-2-2-22-2-22222-2-20000-2200000000−2i2i2i−2i0000000022-2-2-22-2-22222-2-20000-2200000000−2i2i2i−2i00000000
χ2922-2-2-22-2-222-2-22200002-200002-2-2200000000000022-2-2-22-2-222-2-22200002-200002-2-22000000000000
χ3022-2-2-22-2-222-2-22200002-20000-222-200000000000022-2-2-22-2-222-2-22200002-20000-222-2000000000000
χ31444444-4-4-4-4000000000000000000000000000000444444-4-4-4-4000000000000000000000000000000
χ3244-4-4-4444-4-400000000000000000000000000000044-4-4-4444-4-4000000000000000000000000000000
χ334-44-40000002i2−2i22i2−2i22-22-200002i2−2i200000000000000004-44-40000002i2−2i22i2−2i22-22-200002i2−2i20000000000000000
χ344-44-40000002i2−2i22i2−2i2-22-220000−2i22i200000000000000004-44-40000002i2−2i22i2−2i2-22-220000−2i22i20000000000000000
χ354-44-4000000−2i22i2−2i22i22-22-20000−2i22i200000000000000004-44-4000000−2i22i2−2i22i22-22-20000−2i22i20000000000000000
χ364-44-4000000−2i22i2−2i22i2-22-2200002i2−2i200000000000000004-44-4000000−2i22i2−2i22i2-22-2200002i2−2i20000000000000000
χ374-4-440000002i2−2i2−2i22i22i−2i−2i2i0022−220000000000000000004-4-440000002i2−2i2−2i22i22i−2i−2i2i0022−22000000000000000000
χ384-4-440000002i2−2i2−2i22i2−2i2i2i−2i00−22220000000000000000004-4-440000002i2−2i2−2i22i2−2i2i2i−2i00−2222000000000000000000
χ394-4-44000000−2i22i22i2−2i22i−2i−2i2i00−22220000000000000000004-4-44000000−2i22i22i2−2i22i−2i−2i2i00−2222000000000000000000
χ404-4-44000000−2i22i22i2−2i2−2i2i2i−2i0022−220000000000000000004-4-44000000−2i22i22i2−2i2−2i2i2i−2i0022−22000000000000000000
χ411111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ43111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1
χ44111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ4511111111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-11111
χ4611111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-1
χ4711111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-111-1-111
χ4811111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-111-1-1
χ492222222222-2-2-2-22222-2-2-2-2-2-20000000000000000-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222220000000000000000
χ502222222222-2-2-2-2-2-2-2-2-2-222220000000000000000-2-2-2-2-2-2-2-2-2-22222222222-2-2-2-20000000000000000
χ512222-2-22-22-222220000-2-20000000000000000002i−2i-2-2-2-222-22-22-2-2-2-2000022000000000000000000−2i2i
χ522222-2-22-22-222220000-2-2000000000000000000−2i2i-2-2-2-222-22-22-2-2-2-20000220000000000000000002i−2i
χ532222-2-22-22-2-2-2-2-20000220000000000002-2000000-2-2-2-222-22-2222220000-2-2000000000000-22000000
χ542222-2-22-22-2-2-2-2-2000022000000000000-22000000-2-2-2-222-22-2222220000-2-20000000000002-2000000
χ552222-2-2-22-22000000000022-2-2i2i2−i2−i2i2i2−i2−i200000000-2-2-2-2222-22-20000000000-2-222−i2−i2i2i2−i2−i2i2i200000000
χ562222-2-2-22-22000000000022-2-2−i2−i2i2i2−i2−i2i2i200000000-2-2-2-2222-22-20000000000-2-222i2i2−i2−i2i2i2−i2−i200000000
χ572222-2-2-22-220000000000-2-222i2i2−i2−i2−i2−i2i2i200000000-2-2-2-2222-22-2000000000022-2-2−i2−i2i2i2i2i2−i2−i200000000
χ582222-2-2-22-220000000000-2-222−i2−i2i2i2i2i2−i2−i200000000-2-2-2-2222-22-2000000000022-2-2i2i2−i2−i2−i2−i2i2i200000000
χ5922-2-22-22-2-2200002i2i−2i−2i000000i2−i2i2−i22−22−200000000-2-222-22-222-20000−2i−2i2i2i000000−i2i2−i2i2−22−2200000000
χ6022-2-22-22-2-2200002i2i−2i−2i000000−i2i2−i2i2−22−2200000000-2-222-22-222-20000−2i−2i2i2i000000i2−i2i2−i22−22−200000000
χ6122-2-22-22-2-220000−2i−2i2i2i000000i2−i2i2−i2−22−2200000000-2-222-22-222-200002i2i−2i−2i000000−i2i2−i2i22−22−200000000
χ6222-2-22-22-2-220000−2i−2i2i2i000000−i2i2−i2i22−22−200000000-2-222-22-222-200002i2i−2i−2i000000i2−i2i2−i2−22−2200000000
χ6322-2-22-2-222-222-2-200002-2000000000000002-20000-2-222-222-2-22-2-2220000-2200000000000000-220000
χ6422-2-22-2-222-222-2-200002-200000000000000-220000-2-222-222-2-22-2-2220000-22000000000000002-20000
χ6522-2-22-2-222-2-2-2220000-2200000000000000002i−2i00-2-222-222-2-2222-2-200002-20000000000000000−2i2i00
χ6622-2-22-2-222-2-2-2220000-220000000000000000−2i2i00-2-222-222-2-2222-2-200002-200000000000000002i−2i00
χ6722-2-2-22-2-22222-2-20000-22000000002i−2i−2i2i00000000-2-2222-222-2-2-2-22200002-200000000−2i2i2i−2i00000000
χ6822-2-2-22-2-22222-2-20000-2200000000−2i2i2i−2i00000000-2-2222-222-2-2-2-22200002-2000000002i−2i−2i2i00000000
χ6922-2-2-22-2-222-2-22200002-200002-2-22000000000000-2-2222-222-2-222-2-20000-220000-222-2000000000000
χ7022-2-2-22-2-222-2-22200002-20000-222-2000000000000-2-2222-222-2-222-2-20000-2200002-2-22000000000000
χ71444444-4-4-4-4000000000000000000000000000000-4-4-4-4-4-44444000000000000000000000000000000
χ7244-4-4-4444-4-4000000000000000000000000000000-4-4444-4-4-444000000000000000000000000000000
χ734-44-40000002i2−2i22i2−2i22-22-200002i2−2i20000000000000000-44-44000000−2i22i2−2i22i2-22-220000−2i22i20000000000000000
χ744-44-40000002i2−2i22i2−2i2-22-220000−2i22i20000000000000000-44-44000000−2i22i2−2i22i22-22-200002i2−2i20000000000000000
χ754-44-4000000−2i22i2−2i22i22-22-20000−2i22i20000000000000000-44-440000002i2−2i22i2−2i2-22-2200002i2−2i20000000000000000
χ764-44-4000000−2i22i2−2i22i2-22-2200002i2−2i20000000000000000-44-440000002i2−2i22i2−2i22-22-20000−2i22i20000000000000000
χ774-4-440000002i2−2i2−2i22i22i−2i−2i2i0022−22000000000000000000-444-4000000−2i22i22i2−2i2−2i2i2i−2i00−2222000000000000000000
χ784-4-440000002i2−2i2−2i22i2−2i2i2i−2i00−2222000000000000000000-444-4000000−2i22i22i2−2i22i−2i−2i2i0022−22000000000000000000
χ794-4-44000000−2i22i22i2−2i22i−2i−2i2i00−2222000000000000000000-444-40000002i2−2i2−2i22i2−2i2i2i−2i0022−22000000000000000000
χ804-4-44000000−2i22i22i2−2i2−2i2i2i−2i0022−22000000000000000000-444-40000002i2−2i2−2i22i22i−2i−2i2i00−2222000000000000000000

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