Finite Group Databasebeta

← Group #283048

Character table — Group #283048

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888444444444488888888888888222244448888882
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-11111-1-11111-1-1-1-1-1-111-1-11-111-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-11-1-111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111
χ51111111111111111111111-1-1-1-111-1-1111111-1-111-1-1-1-111-1-1-1-1-1-111-1111-1-111-1-1-1
χ61111111111111111111111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1111
χ71111111111111111111111-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1111
χ81111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111-1-1-11111-1-1-1
χ91111111111111111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11
χ101111111111111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-11-1-1-1-1-11111-1
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111111-1
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-111-1-1-1-1-1-11
χ131111111111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-111111111-11-1-1-1-1-1-111-1
χ141111111111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-11
χ151111111111111111-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-111-1-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111-11111-1-111-1
χ1722222222222-2-2-2-222222-2-2000000000022-2-200220000-2-2000000000-2000000000
χ1822222222222-2-2-2-222222-2-20000000000-2-2-2-200-2-20000220000000002000000000
χ1922222222222-2-2-2-22-2-2-2-2-2-20000000000222200-2-2000022000000000-2000000000
χ2022222222222-2-2-2-22-2-2-2-2-2-20000000000-2-22200220000-2-20000000002000000000
χ2122222222-2-2-22222-20000-2-222222222-2-20000-2-20000000000000000-20000000000
χ2222222222-2-2-22222-20000-2-22222-2-2-2-2220000-2-2000000000000000020000000000
χ2322222222-2-2-22222-20000-2-2-2-2-2-222-2-2-2-2000022000000000000000020000000000
χ2422222222-2-2-22222-20000-2-2-2-2-2-2-2-222220000220000000000000000-20000000000
χ2522-22-2-2-222-220000-22i2i−2i−2i0022−2−20000002i−2i002−22-2i2i2−i2−i20022−2−200000000i2−i200000
χ2622-22-2-2-222-220000-22i2i−2i−2i0022−2−2000000−2i2i002−2-22i2i2−i2−i200−2−22200000000−i2i200000
χ2722-22-2-2-222-220000-22i2i−2i−2i00−2−2220000002i−2i00−222-2−i2−i2i2i200−2−22200000000−i2i200000
χ2822-22-2-2-222-220000-22i2i−2i−2i00−2−222000000−2i2i00−22-22−i2−i2i2i20022−2−200000000i2−i200000
χ2922-22-2-2-222-220000-2−2i−2i2i2i0022−2−20000002i−2i002−2-22−i2−i2i2i200−2−22200000000i2−i200000
χ3022-22-2-2-222-220000-2−2i−2i2i2i0022−2−2000000−2i2i002−22-2−i2−i2i2i20022−2−200000000−i2i200000
χ3122-22-2-2-222-220000-2−2i−2i2i2i00−2−2220000002i−2i00−22-22i2i2−i2−i20022−2−200000000−i2i200000
χ3222-22-2-2-222-220000-2−2i−2i2i2i00−2−222000000−2i2i00−222-2i2i2−i2−i200−2−22200000000i2−i200000
χ332-2-222-22-222-222-2-2-22i−2i2i−2i-220000000000002i−2i00000000000000002-20000002i−2i000
χ342-2-222-22-222-222-2-2-22i−2i2i−2i-220000000000002i−2i0000000000000000-22000000−2i2i000
χ352-2-222-22-222-222-2-2-2−2i2i−2i2i-22000000000000−2i2i00000000000000002-2000000−2i2i000
χ362-2-222-22-222-222-2-2-2−2i2i−2i2i-22000000000000−2i2i0000000000000000-220000002i−2i000
χ372-2-222-22-222-2-2-222-22i−2i2i−2i2-200002-2002-200−2i2i000000000000000000002i−2i0000000
χ382-2-222-22-222-2-2-222-22i−2i2i−2i2-20000-2200-2200−2i2i00000000000000000000−2i2i0000000
χ392-2-222-22-222-2-2-222-2−2i2i−2i2i2-200002-2002-2002i−2i00000000000000000000−2i2i0000000
χ402-2-222-22-222-2-2-222-2−2i2i−2i2i2-20000-2200-22002i−2i000000000000000000002i−2i0000000
χ412-2-222-22-2-2-22-2-22220000-2200002-200-22000000002-22-20000002-20000000000000
χ422-2-222-22-2-2-22-2-22220000-2200002-200-2200000000-22-22000000-220000000000000
χ432-2-222-22-2-2-22-2-22220000-220000-22002-2000000002-22-2000000-220000000000000
χ442-2-222-22-2-2-22-2-22220000-220000-22002-200000000-22-220000002-20000000000000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000
χ46444-44-4-4-40004-44-4000000000000000000000000000000000000000000000002i2−2i20
χ47444-44-4-4-40004-44-400000000000000000000000000000000000000000000000−2i22i20
χ48444-44-4-4-4000-44-4400000000000004i−4i00000000000000000000000000000000000
χ49444-44-4-4-4000-44-440000000000000−4i4i00000000000000000000000000000000000
χ5044-44-4-4-44-44-4000040000002222−22−220000000000−2222000000000000000000000000000
χ5144-44-4-4-44-44-400004000000−22−222222000000000022−22000000000000000000000000000
χ524-444-44-4-44-4-4000044-4-44000000000000000000000000000000000000000000000
χ534-444-44-4-44-4-400004-444-4000000000000000000000000000000000000000000000
χ544-444-44-4-4-4440000-40000000000000000000000002i2−2i2−2i22i2000000000000000000000
χ554-444-44-4-4-4440000-4000000000000000000000000−2i22i22i2−2i2000000000000000000000
χ564-44-4-4-4440000000000000022−2222−2200000000000000000022−222-22-2000000000000000
χ574-44-4-4-4440000000000000022−2222−22000000000000000000−2222-22-22000000000000000
χ584-44-4-4-44400000000000000−2222−222200000000000000000022−22-22-22000000000000000
χ594-44-4-4-44400000000000000−2222−2222000000000000000000−22222-22-2000000000000000
χ604-4-444-44-4-4-4444-4-4400004-40000000000000000000000000000000000000000000
χ614-4-4-444-440004-4-4400000004-4-44000000000000000000000000000000000000000
χ624-4-4-444-440004-4-440000000-444-4000000000000000000000000000000000000000
χ634-4-4-444-44000-444-4000000000000000000000000000000022−22−2222000000000000000
χ644-4-4-444-44000-444-40000000000000000000000000000000−222222−22000000000000000
χ6588-8-8-888-8000000000000000000000000000000000000000000000000000000000

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