Finite Group Databasebeta

← Group #329098

Character table — Group #329098

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444224444444444444448888888844448888888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-11-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111-1-1-1-1-1-11111111-1-11111111111-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111-1-1-1-1-1-11111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ91111111111-1-1-1-1111111-1-11-1-1111-1-11111-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-11-1
χ101111111111-1-1-1-1111111-1-11-1-1111-1-11111-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-11
χ111111111111-1-1-1-1111111-1-11-1-1111-1-111-1-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-111-11
χ121111111111-1-1-1-1111111-1-11-1-1111-1-111-1-1-1-1-111-1-111-1-1-1-11111-1-111-1-11111-1-11-1
χ131111111111-1-1-1-1111111-1-11-1-11-1-111-1-111-111-1-111-1-11111-1-1-1-1-1-111-1-11111-1-1-11
χ141111111111-1-1-1-1111111-1-11-1-11-1-111-1-111-111-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1111-1
χ151111111111-1-1-1-1111111-1-11-1-11-1-111-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-1111-1
χ161111111111-1-1-1-1111111-1-11-1-11-1-111-1-1-1-1-1-1-1111111-1-1-1-1111111-1-111-1-111-1-1-11
χ1722222222222222-2-222-2-222-2-2-2-22222-2-200-20000-2-2000000000000000000000000
χ1822222222222222-2-222-2-222-2-2-2-2-2-2-2-22200-2000022000000000000000000000000
χ192222222222-2-2-2-2-2-222-2-2-2-2-222-222-2-2-2-2002000022000000000000000000000000
χ202222222222-2-2-2-2-2-222-2-2-2-2-222-2-2-222220020000-2-2000000000000000000000000
χ2122222222-2-2222222-2-222-2-2-222-200000022-2-2-2-2-200220000000000000000000000
χ2222222222-2-2222222-2-222-2-2-222-2000000-2-2-2222200-2-20000000000000000000000
χ2322222222-2-22222-2-2-2-2-2-2-2-22-2-2200000000200000000000000002-22-20000000000
χ2422222222-2-22222-2-2-2-2-2-2-2-22-2-220000000020000000000000000-22-220000000000
χ2522222222-2-2-2-2-2-222-2-22222-2-2-2-2000000222-2-22200-2-20000000000000000000000
χ2622222222-2-2-2-2-2-222-2-22222-2-2-2-2000000-2-2222-2-200220000000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-222222200000000-200000000000000002-2-220000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-222222200000000-20000000000000000-222-20000000000
χ2922-2-2-22-222-22i2i−2i−2i002-2002i−2i000000002i−2i00000002-200i2i2−i2−i222−2−200002−2i2−i2000000
χ3022-2-2-22-222-22i2i−2i−2i002-2002i−2i000000002i−2i00000002-200−i2−i2i2i2−2−2220000−22−i2i2000000
χ3122-2-2-22-222-22i2i−2i−2i002-2002i−2i00000000−2i2i0000000-2200i2i2−i2−i222−2−20000−22−i2i2000000
χ3222-2-2-22-222-22i2i−2i−2i002-2002i−2i00000000−2i2i0000000-2200−i2−i2i2i2−2−22200002−2i2−i2000000
χ3322-2-2-22-222-2−2i−2i2i2i002-200−2i2i000000002i−2i0000000-2200i2i2−i2−i2−2−22200002−2−i2i2000000
χ3422-2-2-22-222-2−2i−2i2i2i002-200−2i2i000000002i−2i0000000-2200−i2−i2i2i222−2−20000−22i2−i2000000
χ3522-2-2-22-222-2−2i−2i2i2i002-200−2i2i00000000−2i2i00000002-200i2i2−i2−i2−2−2220000−22i2−i2000000
χ3622-2-2-22-222-2−2i−2i2i2i002-200−2i2i00000000−2i2i00000002-200−i2−i2i2i222−2−200002−2−i2i2000000
χ372-2-2222-2-2002i−2i2i−2i2-2002-20002i−2i00000002-200000002i−2i2−22−2i2−i2i2−i2000000002−2i2−i200
χ382-2-2222-2-2002i−2i2i−2i2-2002-20002i−2i00000002-200000002i−2i−22−22−i2i2−i2i200000000−22−i2i200
χ392-2-2222-2-2002i−2i2i−2i2-2002-20002i−2i0000000-220000000−2i2i2−22−2i2−i2i2−i200000000−22−i2i200
χ402-2-2222-2-2002i−2i2i−2i2-2002-20002i−2i0000000-220000000−2i2i−22−22−i2i2−i2i2000000002−2i2−i200
χ412-2-2222-2-200−2i2i−2i2i2-2002-2000−2i2i00000002-20000000−2i2i2−22−2−i2i2−i2i2000000002−2−i2i200
χ422-2-2222-2-200−2i2i−2i2i2-2002-2000−2i2i00000002-20000000−2i2i−22−22i2−i2i2−i200000000−22i2−i200
χ432-2-2222-2-200−2i2i−2i2i2-2002-2000−2i2i0000000-2200000002i−2i2−22−2−i2i2−i2i200000000−22i2−i200
χ442-2-2222-2-200−2i2i−2i2i2-2002-2000−2i2i0000000-2200000002i−2i−22−22i2−i2i2−i2000000002−2−i2i200
χ454444-4-4-4-44-4000000-4400000000004-400000000000000000000000000000000000
χ464444-4-4-4-44-4000000-440000000000-4400000000000000000000000000000000000
χ474444-4-4-4-4-440000004-4000000004-40000000000000000000000000000000000000
χ484444-4-4-4-4-440000004-400000000-440000000000000000000000000000000000000
χ4944-4-44-44-444000044-4-4-4-400-4004000000000000000000000000000000000000000
χ5044-4-44-44-4440000-4-4-4-44400400-4000000000000000000000000000000000000000
χ5144-4-44-44-4-4-400004444-4-400400-4000000000000000000000000000000000000000
χ5244-4-44-44-4-4-40000-4-4444400-4004000000000000000000000000000000000000000
χ5344-4-4-44-44-444i4i−4i−4i00-4400−4i4i0000000000000000000000000000000000000000000
χ5444-4-4-44-44-44−4i−4i4i4i00-44004i−4i0000000000000000000000000000000000000000000
χ554-44-44-4-440000004-400-44000000000000000004i−4i00000000000000000000000000
χ564-44-44-4-440000004-400-4400000000000000000−4i4i00000000000000000000000000
χ574-44-44-4-44000000-44004-40000000000000004i−4i0000000000000000000000000000
χ584-44-44-4-44000000-44004-4000000000000000−4i4i0000000000000000000000000000
χ594-44-4-444-4004-4-44000000000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000000000
χ604-44-4-444-4004-4-4400000000000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000000000
χ614-44-4-444-400-444-4000000000000000000000000000002i−2i−2i2i2i−2i−2i2i00000000000000
χ624-44-4-444-400-444-400000000000000000000000000000−2i2i2i−2i−2i2i2i−2i00000000000000
χ634-4-4444-4-4004i−4i4i−4i-4400-44000−4i4i0000000000000000000000000000000000000000
χ644-4-4444-4-400−4i4i−4i4i-4400-440004i−4i0000000000000000000000000000000000000000
χ658-8-88-8-888000000000000000000000000000000000000000000000000000000000

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