Finite Group Databasebeta

← Group #283014

Character table — Group #283014

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888444444444488888888888888224444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-11-1-111-1-1-1-1-1
χ31111111111111111111111111111-1-111111111-1-11111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111
χ51111111111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1111-1-11-1-1-1-111-1-11
χ61111111111111111111111-1-1-1-11111-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-111111-1-1-1-111-1
χ71111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-11111-1-111-1
χ81111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-11111-1-11
χ91111111111111111-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-11
χ101111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1111-1-1111111-1
χ111111111111111111-1-1-1-1111111-1-1-1-11111111111-1-1-1-1111111-1-11-1-1-1-1-1-1-11111-1
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
χ131111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1111
χ141111111111111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1111111-1-1-1111-1-111-1-1-1
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1111-1111111-1-1-1
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-1-1-1-1-111-1-1111
χ1722222222222-2-2-2-222222-2-20000-2-22200000000220000-2-2000000000-2000000000
χ1822222222222-2-2-2-222222-2-20000-2-2-2-200000000-2-20000220000000002000000000
χ1922222222222-2-2-2-22-2-2-2-2-2-20000222200000000-2-2000022000000000-2000000000
χ2022222222222-2-2-2-22-2-2-2-2-2-2000022-2-200000000220000-2-20000000002000000000
χ2122222222-2-2-22222-20000-2-22222000022-2-222-2-200000000000000-2000000000000
χ2222222222-2-2-22222-20000-2-222220000-2-222-2-2-2-2000000000000002000000000000
χ2322222222-2-2-22222-20000-2-2-2-2-2-200002222-2-22200000000000000-2000000000000
χ2422222222-2-2-22222-20000-2-2-2-2-2-20000-2-2-2-22222000000000000002000000000000
χ2522-222-2-2-22-2-2000022i2i−2i−2i0022−2−2002-20000002−22i−2ii2i2−i2−i200i2i2−i2−i2000000002−200000
χ2622-222-2-2-22-2-2000022i2i−2i−2i0022−2−200-220000002−2−2i2ii2i2−i2−i200−i2−i2i2i200000000−2200000
χ2722-222-2-2-22-2-2000022i2i−2i−2i00−2−222002-2000000−222i−2i−i2−i2i2i200−i2−i2i2i200000000−2200000
χ2822-222-2-2-22-2-2000022i2i−2i−2i00−2−22200-22000000−22−2i2i−i2−i2i2i200i2i2−i2−i2000000002−200000
χ2922-222-2-2-22-2-200002−2i−2i2i2i0022−2−2002-20000002−2−2i2i−i2−i2i2i200−i2−i2i2i2000000002−200000
χ3022-222-2-2-22-2-200002−2i−2i2i2i0022−2−200-220000002−22i−2i−i2−i2i2i200i2i2−i2−i200000000−2200000
χ3122-222-2-2-22-2-200002−2i−2i2i2i00−2−222002-2000000−22−2i2ii2i2−i2−i200i2i2−i2−i200000000−2200000
χ3222-222-2-2-22-2-200002−2i−2i2i2i00−2−22200-22000000−222i−2ii2i2−i2−i200−i2−i2i2i2000000002−200000
χ332-2-22-2-22222-222-2-2-22i−2i2i−2i-2200002i−2i00000000000000000000000000002-200002i−2i0
χ342-2-22-2-22222-222-2-2-22i−2i2i−2i-2200002i−2i0000000000000000000000000000-220000−2i2i0
χ352-2-22-2-22222-222-2-2-2−2i2i−2i2i-220000−2i2i00000000000000000000000000002-20000−2i2i0
χ362-2-22-2-22222-222-2-2-2−2i2i−2i2i-220000−2i2i0000000000000000000000000000-2200002i−2i0
χ372-2-22-2-22222-2-2-222-22i−2i2i−2i2-20000−2i2i00002-22-2000000000000000002i−2i0000000000
χ382-2-22-2-22222-2-2-222-22i−2i2i−2i2-20000−2i2i0000-22-2200000000000000000−2i2i0000000000
χ392-2-22-2-22222-2-2-222-2−2i2i−2i2i2-200002i−2i00002-22-200000000000000000−2i2i0000000000
χ402-2-22-2-22222-2-2-222-2−2i2i−2i2i2-200002i−2i0000-22-22000000000000000002i−2i0000000000
χ412-2-22-2-222-2-22-2-22220000-2200000000002-2-2200002-22-20000002-20000000000000
χ422-2-22-2-222-2-22-2-22220000-2200000000002-2-220000-22-22000000-220000000000000
χ432-2-22-2-222-2-22-2-22220000-220000000000-222-200002-22-2000000-220000000000000
χ442-2-22-2-222-2-22-2-22220000-220000000000-222-20000-22-220000002-20000000000000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000
χ46444-4-4-4-44000000000000002i2−2i22i2−2i20000000000000000002i2−2i22-22-2000000000000000
χ47444-4-4-4-44000000000000002i2−2i22i2−2i2000000000000000000−2i22i2-22-22000000000000000
χ48444-4-4-4-4400000000000000−2i22i2−2i22i20000000000000000002i2−2i2-22-22000000000000000
χ49444-4-4-4-4400000000000000−2i22i2−2i22i2000000000000000000−2i22i22-22-2000000000000000
χ5044-444-4-4-4-4440000-40000002222−22−220000000000−2222000000000000000000000000000
χ5144-444-4-4-4-4440000-4000000−22−222222000000000022−22000000000000000000000000000
χ5244-4-4-444-40004-44-400000000000000000000000000000002i2−2i2−2i22i2000000000000000
χ5344-4-4-444-40004-44-40000000000000000000000000000000−2i22i22i2−2i2000000000000000
χ5444-4-4-444-4000-44-4400000004i−4i−4i4i000000000000000000000000000000000000000
χ5544-4-4-444-4000-44-440000000−4i4i4i−4i000000000000000000000000000000000000000
χ564-444-44-4-44-440000-44-4-44000000000000000000000000000000000000000000000
χ574-444-44-4-44-440000-4-444-4000000000000000000000000000000000000000000000
χ584-444-44-4-4-44-4000040000000000000000000000002i2−2i2−2i22i2000000000000000000000
χ594-444-44-4-4-44-400004000000000000000000000000−2i22i22i2−2i2000000000000000000000
χ604-44-44-44-40004-4-440000000000000004i−4i000000000000000000000000000000000
χ614-44-44-44-40004-4-44000000000000000−4i4i000000000000000000000000000000000
χ624-44-44-44-4000-444-40000000000000000000000000000000000000000000002i2−2i2000
χ634-44-44-44-4000-444-4000000000000000000000000000000000000000000000−2i22i2000
χ644-4-44-4-444-4-4444-4-4400004-40000000000000000000000000000000000000000000
χ658-8-8-888-88000000000000000000000000000000000000000000000000000000000

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