Finite Group Databasebeta

← Group #282997

Character table — Group #282997

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888224444444488888888888888444444448888882
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-111-1-11111111111111111-1-1-1-1-11-1-111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111
χ51111111111111111111111-1-1-1-111-1-1111111-1-111-1-1-1-111-1-1-1-111-1-1-1111-1-111-1-1-1
χ61111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1111
χ71111111111111111111111-1-1-1-1-1-11111-1-111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1111
χ81111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1111111-1-1-1
χ91111111111111111-1-1-1-11111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-11
χ101111111111111111-1-1-1-11111111111-1-111-1-11111-1-1-1-1111111-1-11-1-1-1-1-1-1-11111-1
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1111-1-1111111-1
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-111-111-1-1-1-1-1-11
χ131111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-1-111111-1-1-1-111-1
χ141111111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-111-1-1-11111-1-11
χ151111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-11111111-1-11-1-1-1-111-1-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1111-1-1-11111-1-111-1
χ17222222222-2-222-22-20000-2-2222222-2-200-2-200-2-2000000000000002000000000000
χ18222222222-2-222-22-20000-2-22222-2-222002200-2-200000000000000-2000000000000
χ19222222222-2-222-22-20000-2-2-2-2-2-2222200-2-2002200000000000000-2000000000000
χ20222222222-2-222-22-20000-2-2-2-2-2-2-2-2-2-200220022000000000000002000000000000
χ2122222222-222-2-22-222222-2-200000000-2-2002200-2-2000022000000000-2000000000
χ2222222222-222-2-22-222222-2-200000000-2-200-2-200220000-2-20000000002000000000
χ2322222222-222-2-22-22-2-2-2-2-2-20000000022002200220000-2-2000000000-2000000000
χ2422222222-222-2-22-22-2-2-2-2-2-2000000002200-2-200-2-20000220000000002000000000
χ2522-2-2-2-222222-2-2-22-22i2i−2i−2i2-200002-2002i−2i2-200000000000000002i−2i0000000000000
χ2622-2-2-2-222222-2-2-22-22i2i−2i−2i2-20000-22002i−2i-220000000000000000−2i2i0000000000000
χ2722-2-2-2-222222-2-2-22-2−2i−2i2i2i2-200002-200−2i2i2-20000000000000000−2i2i0000000000000
χ2822-2-2-2-222222-2-2-22-2−2i−2i2i2i2-20000-2200−2i2i-2200000000000000002i−2i0000000000000
χ2922-2-2-2-2222-2-2-2-22220000-2200002-20000-2200000022-2-20000000002-20000000000
χ3022-2-2-2-2222-2-2-2-22220000-2200002-20000-22000000-2-222000000000-220000000000
χ3122-2-2-2-2222-2-2-2-22220000-220000-2200002-200000022-2-2000000000-220000000000
χ3222-2-2-2-2222-2-2-2-22220000-220000-2200002-2000000-2-2220000000002-20000000000
χ3322-2-2-2-222-22222-2-2-22i2i−2i−2i-2200000000−2i2i0000000000000000000000002-2002i−2i000
χ3422-2-2-2-222-22222-2-2-22i2i−2i−2i-2200000000−2i2i000000000000000000000000-2200−2i2i000
χ3522-2-2-2-222-22222-2-2-2−2i−2i2i2i-22000000002i−2i0000000000000000000000002-200−2i2i000
χ3622-2-2-2-222-22222-2-2-2−2i−2i2i2i-22000000002i−2i000000000000000000000000-22002i−2i000
χ372-22-22-2-2202-20020-22i−2i2i−2i0022−2−2000000002-22−200i2−i2i2−i22i−2ii2i2−i2−i2000000002−200000
χ382-22-22-2-2202-20020-22i−2i2i−2i0022−2−200000000-222−200i2−i2i2−i2−2i2i−i2−i2i2i200000000−2200000
χ392-22-22-2-2202-20020-22i−2i2i−2i00−2−222000000002-2−2200−i2i2−i2i22i−2i−i2−i2i2i200000000−2200000
χ402-22-22-2-2202-20020-22i−2i2i−2i00−2−22200000000-22−2200−i2i2−i2i2−2i2ii2i2−i2−i2000000002−200000
χ412-22-22-2-2202-20020-2−2i2i−2i2i0022−2−2000000002-22−200−i2i2−i2i2−2i2i−i2−i2i2i2000000002−200000
χ422-22-22-2-2202-20020-2−2i2i−2i2i0022−2−200000000-222−200−i2i2−i2i22i−2ii2i2−i2−i200000000−2200000
χ432-22-22-2-2202-20020-2−2i2i−2i2i00−2−222000000002-2−2200i2−i2i2−i2−2i2ii2i2−i2−i200000000−2200000
χ442-22-22-2-2202-20020-2−2i2i−2i2i00−2−22200000000-22−2200i2−i2i2−i22i−2i−i2−i2i2i2000000002−200000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000
χ46444-4-44-4-44004-40-4000000000000000000000000000000022−2222−22000000000000000
χ47444-4-44-4-44004-40-40000000000000000000000000000000−2222−2222000000000000000
χ48444-4-44-4-4-400-440400000004i−4i4i−4i000000000000000000000000000000000000000
χ49444-4-44-4-4-400-44040000000−4i4i−4i4i000000000000000000000000000000000000000
χ5044-444-4-4-4400-440-40000000000000000000000000000000000000000000000022−220
χ5144-444-4-4-4400-440-400000000000000000000000000000000000000000000000−22220
χ5244-444-4-4-4-4004-40400000000000004i−4i00000000000000000000000000000000000
χ5344-444-4-4-4-4004-4040000000000000−4i4i00000000000000000000000000000000000
χ5444-4-4-4-444-4-4-4444-4400004-40000000000000000000000000000000000000000000
χ554-444-4-44-4000000000000002i2−2i2−2i22i200000000000022−220000002i−2i−2i2i000000000000000
χ564-444-4-44-4000000000000002i2−2i2−2i22i2000000000000−2222000000−2i2i2i−2i000000000000000
χ574-444-4-44-400000000000000−2i22i22i2−2i200000000000022−22000000−2i2i2i−2i000000000000000
χ584-444-4-44-400000000000000−2i22i22i2−2i2000000000000−22220000002i−2i−2i2i000000000000000
χ594-44-44-4-440-4400-4040000002222−22−220000000000−2222000000000000000000000000000
χ604-44-44-4-440-4400-404000000−22−222222000000000022−22000000000000000000000000000
χ614-4-44-44-4404-400-4044-4-44000000000000000000000000000000000000000000000
χ624-4-44-44-4404-400-404-444-4000000000000000000000000000000000000000000000
χ634-4-44-44-440-440040-40000000000000000000000002i2−2i2−2i22i2000000000000000000000
χ644-4-44-44-440-440040-4000000000000000000000000−2i22i22i2−2i2000000000000000000000
χ658-8-8-8888-8000000000000000000000000000000000000000000000000000000000

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