Finite Group Databasebeta

← Group #327011

Character table — Group #327011

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444222224444444444448888888844448888888824
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1111111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111-1-111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ8111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ9111111111111-1-1-1-11111-1-1-1-111-1111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-111-1-11-1
χ10111111111111-1-1-1-11111-1-1-1-111-1111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-11
χ11111111111111-1-1-1-11111-1-1-1-111-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-11
χ12111111111111-1-1-1-11111-1-1-1-111-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-11-1
χ13111111111111-1-1-1-11111-1-1-1-111-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-11
χ14111111111111-1-1-1-11111-1-1-1-111-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111-1
χ15111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-1-1-111-1-1111-1
χ16111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111-1-111-1-111-1-1-11
χ172222222222-2-2222222-2-222-2-2-2-2-20022000000-2-222-2-20000000000000000000000
χ182222222222-2-2222222-2-222-2-2-2-2-200-2-200000022-2-2220000000000000000000000
χ192222222222-2-2-2-2-2-222-2-2-2-222-2-220022000000-2-2-2-2220000000000000000000000
χ202222222222-2-2-2-2-2-222-2-2-2-222-2-2200-2-20000002222-2-20000000000000000000000
χ2122222222-2-2222222-2-222-2-222-2-2-22200-2-222-2-20000000000000000000000000000
χ2222222222-2-2222222-2-222-2-222-2-2-2-2-20022-2-2220000000000000000000000000000
χ2322222222-2-222-2-2-2-2-2-22222-2-2-2-222200-2-2-2-2220000000000000000000000000000
χ2422222222-2-222-2-2-2-2-2-22222-2-2-2-22-2-2002222-2-20000000000000000000000000000
χ2522222222-2-2-2-22222-2-2-2-2-2-2-2-22220000000000000000000000002-22-20000000000
χ2622222222-2-2-2-22222-2-2-2-2-2-2-2-2222000000000000000000000000-22-220000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222222-20000000000000000000000002-2-220000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2000000000000000000000000-222-20000000000
χ2922-222-2-2-2002-22i2i−2i−2i002-2002i−2i0002-200002i−2i0000000022−2−2i2i2−i2−i200002−2i2−i2000000
χ3022-222-2-2-2002-22i2i−2i−2i002-2002i−2i0002-200002i−2i00000000−2−222−i2−i2i2i20000−22−i2i2000000
χ3122-222-2-2-2002-22i2i−2i−2i002-2002i−2i000-220000−2i2i0000000022−2−2i2i2−i2−i20000−22−i2i2000000
χ3222-222-2-2-2002-22i2i−2i−2i002-2002i−2i000-220000−2i2i00000000−2−222−i2−i2i2i200002−2i2−i2000000
χ3322-222-2-2-2002-2−2i−2i2i2i002-200−2i2i0002-20000−2i2i0000000022−2−2−i2−i2i2i200002−2−i2i2000000
χ3422-222-2-2-2002-2−2i−2i2i2i002-200−2i2i0002-20000−2i2i00000000−2−222i2i2−i2−i20000−22i2−i2000000
χ3522-222-2-2-2002-2−2i−2i2i2i002-200−2i2i000-2200002i−2i0000000022−2−2−i2−i2i2i20000−22i2−i2000000
χ3622-222-2-2-2002-2−2i−2i2i2i002-200−2i2i000-2200002i−2i00000000−2−222i2i2−i2−i200002−2−i2i2000000
χ372-222-22-2-22-2002i−2i2i−2i2-2002i−2i00000002-2000000002i−2i002−22−2i2−i2i2−i2000000002−2i2−i200
χ382-222-22-2-22-2002i−2i2i−2i2-2002i−2i00000002-2000000002i−2i00−22−22−i2i2−i2i200000000−22−i2i200
χ392-222-22-2-22-2002i−2i2i−2i2-2002i−2i0000000-2200000000−2i2i002−22−2i2−i2i2−i200000000−22−i2i200
χ402-222-22-2-22-2002i−2i2i−2i2-2002i−2i0000000-2200000000−2i2i00−22−22−i2i2−i2i2000000002−2i2−i200
χ412-222-22-2-22-200−2i2i−2i2i2-200−2i2i00000002-200000000−2i2i002−22−2−i2i2−i2i2000000002−2−i2i200
χ422-222-22-2-22-200−2i2i−2i2i2-200−2i2i00000002-200000000−2i2i00−22−22i2−i2i2−i200000000−22i2−i200
χ432-222-22-2-22-200−2i2i−2i2i2-200−2i2i0000000-22000000002i−2i002−22−2−i2i2−i2i200000000−22i2−i200
χ442-222-22-2-22-200−2i2i−2i2i2-200−2i2i0000000-22000000002i−2i00−22−22i2−i2i2−i2000000002−2−i2i200
χ4544-444-4-4-400-444i4i−4i−4i00-4400−4i4i00000000000000000000000000000000000000000
χ4644-444-4-4-400-44−4i−4i4i4i00-44004i−4i00000000000000000000000000000000000000000
χ4744-4-4-44-4444000000-4-400000000000000000004i−4i00000000000000000000000000
χ4844-4-4-44-4444000000-4-40000000000000000000−4i4i00000000000000000000000000
χ4944-4-4-44-44-4-400000044000000000000000000000004-40000000000000000000000
χ5044-4-4-44-44-4-40000004400000000000000000000000-440000000000000000000000
χ514-444-44-4-4-44004i−4i4i−4i-4400−4i4i0000000000000000000000000000000000000000000
χ524-444-44-4-4-4400−4i4i−4i4i-44004i−4i0000000000000000000000000000000000000000000
χ534-44-44-4-440044000000-4-4000000000004i−4i00000000000000000000000000000000
χ544-44-44-4-440044000000-4-400000000000−4i4i00000000000000000000000000000000
χ554-44-44-4-4400-4-4000000440000000000000004-40000000000000000000000000000
χ564-44-44-4-4400-4-400000044000000000000000-440000000000000000000000000000
χ574-4-44-4-44400004-4-440000000000000000000000000002-2-222-2-2200000000000000
χ584-4-44-4-44400004-4-44000000000000000000000000000-222-2-222-200000000000000
χ594-4-44-4-4440000-444-40000000000000000000000000002-2-22-222-200000000000000
χ604-4-44-4-4440000-444-4000000000000000000000000000-222-22-2-2200000000000000
χ614-4-4-4444-44-44-40000-44-4400004-4000000000000000000000000000000000000000
χ624-4-4-4444-44-4-440000-444-40000-44000000000000000000000000000000000000000
χ634-4-4-4444-4-444-400004-4-440000-44000000000000000000000000000000000000000
χ644-4-4-4444-4-44-4400004-44-400004-4000000000000000000000000000000000000000
χ65888-8-8-88-8000000000000000000000000000000000000000000000000000000000

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