Finite Group Databasebeta

← Group #349146

Character table — Group #349146

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11112222222244444444444444444888888888888888888888161616161616161632323232
order12222244444422444448888888888222244444488888888888888888884488
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-111-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111-1-1-1-111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11-11-1
χ61111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11-11
χ71111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111111111-1-111-1-1-11-11
χ81111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111111111-1-111-1-1111-11-1
χ9111111111111-1-111-1-11111111-1-1-1-111-1-1-1-111-1-11-1-11111-1-1-1-11111-1-1-1-111-1-1
χ10111111111111-1-111-1-11111111-1-1-1-111-1-1-1-111-1-11-1-11111-1-1-1-1-1-1-1-11111-1-111
χ11111111111111-1-111-1-11111111-1-1-1-1-1-111-1-1-1-1111-1-1-1-1-1-111111111-1-1-1-1-1-111
χ12111111111111-1-111-1-11111111-1-1-1-1-1-111-1-1-1-1111-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ13111111111111-1-111-1-11-1-1-1-1-1-1111111-1-1-1-111-1-1-111-1-1-1-1111111-1-1-1-1111-1-11
χ14111111111111-1-111-1-11-1-1-1-1-1-1111111-1-1-1-111-1-1-111-1-1-1-11111-1-11111-1-1-111-1
χ15111111111111-1-111-1-11-1-1-1-1-1-11111-1-111-1-1-1-111-1111111-1-1-1-111-1-1-1-111-111-1
χ16111111111111-1-111-1-11-1-1-1-1-1-11111-1-111-1-1-1-111-1111111-1-1-1-1-1-11111-1-11-1-11
χ1722222222-2-2-2-2002-200-20000002i2i−2i−2i220000-2-20002i−2i00002i2i−2i−2i000000000000
χ1822222222-2-2-2-2002-200-20000002i2i−2i−2i-2-20000220002i−2i0000−2i−2i2i2i000000000000
χ1922222222-2-2-2-2002-200-2000000−2i−2i2i2i220000-2-2000−2i2i0000−2i−2i2i2i000000000000
χ2022222222-2-2-2-2002-200-2000000−2i−2i2i2i-2-2000022000−2i2i00002i2i−2i−2i000000000000
χ21222222-2-2222222-2-222-222-2-2-2-2-2-2-2-20000-2-2000022200000000000000000000
χ22222222-2-2222222-2-222-2-2-2222222220000-2-20000-2-2-200000000000000000000
χ23222222-2-22222-2-2-2-2-2-2-222-2-2-2-2222200002200002-2-200000000000000000000
χ24222222-2-22222-2-2-2-2-2-2-2-2-22222-2-2-2-20000220000-22200000000000000000000
χ25222222-2-2-2-2-2-200-220020000002i2i−2i−2i002-200002-20−2i2i2i2i−2i−2i0000000000000000
χ26222222-2-2-2-2-2-200-220020000002i2i−2i−2i00-220000-220−2i2i−2i−2i2i2i0000000000000000
χ27222222-2-2-2-2-2-200-22002000000−2i−2i2i2i002-200002-202i−2i−2i−2i2i2i0000000000000000
χ28222222-2-2-2-2-2-200-22002000000−2i−2i2i2i00-220000-2202i−2i2i2i−2i−2i0000000000000000
χ292222-2-22222-2-222-2-2-2-2200000000002-2222-22-2-2-200000000000000000000000
χ302222-2-22222-2-222-2-2-2-220000000000-22-2-22-2-222200000000000000000000000
χ312222-2-22222-2-2-2-2-2-222200000000002-2-2-2-222-22200000000000000000000000
χ322222-2-22222-2-2-2-2-2-22220000000000-2222-22-22-2-200000000000000000000000
χ332222-2-222-2-22200-2200-22222-2-200002-20000-2200-2002-22-20000000000000000
χ342222-2-222-2-22200-2200-22222-2-20000-2200002-200-200-22-220000000000000000
χ352222-2-222-2-22200-2200-2-2-2-2-22200002-20000-2200200-22-220000000000000000
χ362222-2-222-2-22200-2200-2-2-2-2-2220000-2200002-2002002-22-20000000000000000
χ372222-2-2-2-222-2-22222-2-2-200000000000000-2200000002i−2i−2i2i2i−2i2i−2i000000000000
χ382222-2-2-2-222-2-22222-2-2-200000000000000-220000000−2i2i2i−2i−2i2i−2i2i000000000000
χ392222-2-2-2-222-2-2-2-22222-2000000000000002-200000002i−2i−2i2i−2i2i−2i2i000000000000
χ402222-2-2-2-222-2-2-2-22222-2000000000000002-20000000−2i2i2i−2i2i−2i2i−2i000000000000
χ412222-2-2-2-2-2-222002-200222-2-2220000002-20000-22-2000000-222-2000000000000
χ422222-2-2-2-2-2-222002-200222-2-222000000-2200002-2-20000002-2-22000000000000
χ432222-2-2-2-2-2-222002-2002-2-222-2-20000002-20000-2220000002-2-22000000000000
χ442222-2-2-2-2-2-222002-2002-2-222-2-2000000-2200002-22000000-222-2000000000000
χ452-2-222-2002-22-22-2002-20002i−2i2i−2i2i−2i2i−2i000000000000000000000i2−i22−2i2−i22−20000
χ462-2-222-2002-22-22-2002-20002i−2i2i−2i2i−2i2i−2i000000000000000000000−i2i2−22−i2i2−220000
χ472-2-222-2002-22-22-2002-2000−2i2i−2i2i−2i2i−2i2i000000000000000000000i2−i2−22i2−i2−220000
χ482-2-222-2002-22-22-2002-2000−2i2i−2i2i−2i2i−2i2i000000000000000000000−i2i22−2−i2i22−20000
χ492-2-222-2002-22-2-2200-220002i−2i2i−2i−2i2i−2i2i000000000000000000000i2−i22−2−i2i2−220000
χ502-2-222-2002-22-2-2200-220002i−2i2i−2i−2i2i−2i2i000000000000000000000−i2i2−22i2−i22−20000
χ512-2-222-2002-22-2-2200-22000−2i2i−2i2i2i−2i2i−2i000000000000000000000i2−i2−22−i2i22−20000
χ522-2-222-2002-22-2-2200-22000−2i2i−2i2i2i−2i2i−2i000000000000000000000−i2i22−2i2−i2−220000
χ534-4-444-400-44-4400000000000004-4-44000000000000000000000000000000000
χ544-4-444-400-44-440000000000000-444-4000000000000000000000000000000000
χ554-4-44-44004-4-444-400-4400000000000000000000000000000000000000000000
χ564-4-44-44004-4-44-44004-400000000000000000000000000000000000000000000
χ574-4-44-4400-444-40000000004i−4i−4i4i0000000000000000000000000000000000000
χ584-4-44-4400-444-4000000000−4i4i4i−4i0000000000000000000000000000000000000
χ5988-8-8008-8000000000000000000000000000000000000000000000000000000
χ6088-8-800-88000000000000000000000000000000000000000000000000000000
χ618-88-80000000000000004i2−4i200000000000000000000000000000000000000000
χ628-88-8000000000000000−4i24i200000000000000000000000000000000000000000

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