Finite Group Databasebeta

← Group #349149

Character table — Group #349149

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11112222222244444444444444444888888888888888888888161616161616161632323232
order12222244444444444448888888888222444444488888888888888888884488
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-11-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-11-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
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
χ71111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-1-11111111111-1-111-1-1-11-11
χ81111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-1-111111111-1-111-1-1111-11-1
χ91111111111111-1-11-1-11111111-1-1-1-1-111-1-1-111-1-11-1-11111-1-1-1-11111-1-1-1-1-1-111
χ101111111111111-1-11-1-11111111-1-1-1-1-111-1-1-111-1-11-1-11111-1-1-1-1-1-1-1-1111111-1-1
χ111111111111111-1-11-1-11111111-1-1-1-1-1-1-111-1-1-1111-1-1-1-1-1-111111111-1-1-1-111-1-1
χ121111111111111-1-11-1-11111111-1-1-1-1-1-1-111-1-1-1111-1-1-1-1-1-11111-1-1-1-11111-1-111
χ131111111111111-1-11-1-11-1-1-1-1-1-11111-111-1-1-111-1-1-111-1-1-1-1111111-1-1-1-111-111-1
χ141111111111111-1-11-1-11-1-1-1-1-1-11111-111-1-1-111-1-1-111-1-1-1-11111-1-11111-1-11-1-11
χ151111111111111-1-11-1-11-1-1-1-1-1-11111-1-1-111-1-1-111-1111111-1-1-1-111-1-1-1-1111-1-11
χ161111111111111-1-11-1-11-1-1-1-1-1-11111-1-1-111-1-1-111-1111111-1-1-1-1-1-11111-1-1-111-1
χ1722222222-2-2-2-2200-200-20000002i2i−2i−2i00022000-2-202i−2i2i2i−2i−2i0000000000000000
χ1822222222-2-2-2-2200-200-20000002i2i−2i−2i000-2-20002202i−2i−2i−2i2i2i0000000000000000
χ1922222222-2-2-2-2200-200-2000000−2i−2i2i2i00022000-2-20−2i2i−2i−2i2i2i0000000000000000
χ2022222222-2-2-2-2200-200-2000000−2i−2i2i2i000-2-2000220−2i2i2i2i−2i−2i0000000000000000
χ21222222-2-22222-222-222-22222-2-22222-20000-20000-2-2-200000000000000000000
χ22222222-2-22222-222-222-2-2-2-2-222-2-2-2-2-20000-2000022200000000000000000000
χ23222222-2-22222-2-2-2-2-2-2-22222-2-2-2-2-2-22000020000-22200000000000000000000
χ24222222-2-22222-2-2-2-2-2-2-2-2-2-2-222222220000200002-2-200000000000000000000
χ25222222-2-2-2-2-2-2-20020020000002i2i−2i−2i02-20002-2000−2i2i00002i2i−2i−2i000000000000
χ26222222-2-2-2-2-2-2-20020020000002i2i−2i−2i0-22000-22000−2i2i0000−2i−2i2i2i000000000000
χ27222222-2-2-2-2-2-2-2002002000000−2i−2i2i2i02-20002-20002i−2i0000−2i−2i2i2i000000000000
χ28222222-2-2-2-2-2-2-2002002000000−2i−2i2i2i0-22000-220002i−2i00002i2i−2i−2i000000000000
χ292222-2-22222-2-2-222-2-2-2200000000002222-2-2-2-22-200000000000000000000000
χ302222-2-22222-2-2-222-2-2-2200000000002-2-2-22-222-2200000000000000000000000
χ312222-2-22222-2-2-2-2-2-22220000000000-222-222-2-2-2200000000000000000000000
χ322222-2-22222-2-2-2-2-2-22220000000000-2-2-22-22222-200000000000000000000000
χ332222-2-222-2-222-200200-222-2-22200000002-2000-22-20000002-22-2000000000000
χ342222-2-222-2-222-200200-222-2-2220000000-220002-2-2000000-22-22000000000000
χ352222-2-222-2-222-200200-2-2-222-2-200000002-2000-222000000-22-22000000000000
χ362222-2-222-2-222-200200-2-2-222-2-20000000-220002-220000002-22-2000000000000
χ372222-2-2-2-222-2-22222-2-2-20000000000-20000200000002i−2i2i−2i2i−2i−2i2i000000000000
χ382222-2-2-2-222-2-22222-2-2-20000000000-2000020000000−2i2i−2i2i−2i2i2i−2i000000000000
χ392222-2-2-2-222-2-22-2-2222-2000000000020000-200000002i−2i2i−2i−2i2i2i−2i000000000000
χ402222-2-2-2-222-2-22-2-2222-2000000000020000-20000000−2i2i−2i2i2i−2i−2i2i000000000000
χ412222-2-2-2-2-2-222200-200222-2-2-2-2000002-2000-22002002-2-220000000000000000
χ422222-2-2-2-2-2-222200-200222-2-2-2-200000-220002-200200-222-20000000000000000
χ432222-2-2-2-2-2-222200-2002-2-22222000002-2000-2200-200-222-20000000000000000
χ442222-2-2-2-2-2-222200-2002-2-2222200000-220002-200-2002-2-220000000000000000
χ452-22-22-2002-22-202i−2i02i−2i02i−2i2i−2i002-22-2000000000000000000000i2−i22−22−2i2−i20000
χ462-22-22-2002-22-202i−2i02i−2i02i−2i2i−2i002-22-2000000000000000000000−i2i2−22−22−i2i20000
χ472-22-22-2002-22-202i−2i02i−2i0−2i2i−2i2i00-22-22000000000000000000000i2−i2−222−2−i2i20000
χ482-22-22-2002-22-202i−2i02i−2i0−2i2i−2i2i00-22-22000000000000000000000−i2i22−2−22i2−i20000
χ492-22-22-2002-22-20−2i2i0−2i2i02i−2i2i−2i00-22-22000000000000000000000i2−i22−2−22−i2i20000
χ502-22-22-2002-22-20−2i2i0−2i2i02i−2i2i−2i00-22-22000000000000000000000−i2i2−222−2i2−i20000
χ512-22-22-2002-22-20−2i2i0−2i2i0−2i2i−2i2i002-22-2000000000000000000000i2−i2−22−22i2−i20000
χ522-22-22-2002-22-20−2i2i0−2i2i0−2i2i−2i2i002-22-2000000000000000000000−i2i22−22−2−i2i20000
χ534-44-44-400-44-4400000000000004i−4i−4i4i000000000000000000000000000000000
χ544-44-44-400-44-440000000000000−4i4i4i−4i000000000000000000000000000000000
χ554-44-4-44004-4-4404i−4i0−4i4i00000000000000000000000000000000000000000000
χ564-44-4-44004-4-440−4i4i04i−4i00000000000000000000000000000000000000000000
χ574-44-4-4400-444-400000004i−4i−4i4i000000000000000000000000000000000000000
χ584-44-4-4400-444-40000000−4i4i4i−4i000000000000000000000000000000000000000
χ5988-8-8008-8000000000000000000000000000000000000000000000000000000
χ6088-8-800-88000000000000000000000000000000000000000000000000000000
χ618-8-8800000000000000000004i2−4i20000000000000000000000000000000000000
χ628-8-880000000000000000000−4i24i20000000000000000000000000000000000000

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