Finite Group Databasebeta

← Group #277436

Character table — Group #277436

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11111111222222224444444444444488888888888888888888888888161616161616161616163232
order12222222444444442222448888888822444444448888888888888888444444888844
χ111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-111-1-11-1
χ61111111111111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-111-1-111-11
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111111-111-1-1-1-111-11
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-11-1-11111-1-11-1
χ91111111111111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111
χ101111111111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1
χ111111111111111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1
χ121111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-111
χ131111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-111-1-1111-1
χ141111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1111-1-111-1-1-11
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-11-1-1-11111-1-1-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1111-1-1-1-1111-1
χ172222222222-2-222-2-22222-2-200000000220000-2-2-2-2000022-2-200000000000000000000
χ182222222222-2-222-2-22222-2-200000000-2-20000-2-2220000-2-22200000000000000000000
χ192222222222-2-222-2-2-2-2-2-2-2-20000000022000022-2-20000-2-22200000000000000000000
χ202222222222-2-222-2-2-2-2-2-2-2-200000000-2-200002222000022-2-200000000000000000000
χ2122222222-2-222-2-2220000-2-22222-2-2-2-200222200000000000000000000-2-20000000000
χ2222222222-2-222-2-2220000-2-22222-2-2-2-200-2-2-2-200000000000000000000220000000000
χ2322222222-2-222-2-2220000-2-2-2-2-2-222220022-2-200000000000000000000-220000000000
χ2422222222-2-222-2-2220000-2-2-2-2-2-2222200-2-222000000000000000000002-20000000000
χ2522-2-22-2-2222-2-2-2-22200002-222-2-222-2-200000000000000000000000000002i−2i2i−2i000000
χ2622-2-22-2-2222-2-2-2-22200002-222-2-222-2-20000000000000000000000000000−2i2i−2i2i000000
χ2722-2-22-2-2222-2-2-2-22200002-2-2-222-2-22200000000000000000000000000002i−2i−2i2i000000
χ2822-2-22-2-2222-2-2-2-22200002-2-2-222-2-2220000000000000000000000000000−2i2i2i−2i000000
χ2922-2-22-2-22-2-22222-2-222-2-22-2000000000000002-200000000002i2i−2i−2i2i2i−2i−2i000000000000
χ3022-2-22-2-22-2-22222-2-222-2-22-2000000000000002-20000000000−2i−2i2i2i−2i−2i2i2i000000000000
χ3122-2-22-2-22-2-22222-2-2-2-2222-200000000000000-2200000000002i2i−2i−2i−2i−2i2i2i000000000000
χ3222-2-22-2-22-2-22222-2-2-2-2222-200000000000000-220000000000−2i−2i2i2i2i2i−2i−2i000000000000
χ3322-2-22-2-22-2-2-2-2222222-2-2-2222-2-2-2-222000000-220022-2-2000000000000000000000000
χ3422-2-22-2-22-2-2-2-2222222-2-2-22-2-22222-2-2000000-2200-2-222000000000000000000000000
χ3522-2-22-2-22-2-2-2-22222-2-222-2222-2-2-2-2220000002-200-2-222000000000000000000000000
χ3622-2-22-2-22-2-2-2-22222-2-222-22-2-22222-2-20000002-20022-2-2000000000000000000000000
χ372-22-222-2-22-2002-2002-22-200i2−i2i2−i2i2−i2i2−i2000000002i−2ii2−i2i2−i2002i−2i2−22−22−22−2000000000000
χ382-22-222-2-22-2002-2002-22-200i2−i2i2−i2i2−i2i2−i200000000−2i2ii2−i2i2−i200−2i2i−22−22−22−22000000000000
χ392-22-222-2-22-2002-2002-22-200−i2i2−i2i2−i2i2−i2i2000000002i−2i−i2i2−i2i2002i−2i−22−22−22−22000000000000
χ402-22-222-2-22-2002-2002-22-200−i2i2−i2i2−i2i2−i2i200000000−2i2i−i2i2−i2i200−2i2i2−22−22−22−2000000000000
χ412-22-222-2-22-2002-200-22-2200i2−i2i2−i2i2−i2i2−i2000000002i−2i−i2i2−i2i200−2i2i2−22−2−22−22000000000000
χ422-22-222-2-22-2002-200-22-2200i2−i2i2−i2i2−i2i2−i200000000−2i2i−i2i2−i2i2002i−2i−22−222−22−2000000000000
χ432-22-222-2-22-2002-200-22-2200−i2i2−i2i2−i2i2−i2i2000000002i−2ii2−i2i2−i200−2i2i−22−222−22−2000000000000
χ442-22-222-2-22-2002-200-22-2200−i2i2−i2i2−i2i2−i2i200000000−2i2ii2−i2i2−i2002i−2i2−22−2−22−22000000000000
χ452-2-222-22-2-22002-2002-2-2200i2−i2−i2i2−i2i2i2−i22-200000000i2−i2−i2i22-200i2−i2−i2i2i2−i2−i2i2000000000000
χ462-2-222-22-2-22002-2002-2-2200i2−i2−i2i2−i2i2i2−i2-2200000000i2−i2−i2i2-2200−i2i2i2−i2−i2i2i2−i2000000000000
χ472-2-222-22-2-22002-2002-2-2200−i2i2i2−i2i2−i2−i2i22-200000000−i2i2i2−i22-200−i2i2i2−i2−i2i2i2−i2000000000000
χ482-2-222-22-2-22002-2002-2-2200−i2i2i2−i2i2−i2−i2i2-2200000000−i2i2i2−i2-2200i2−i2−i2i2i2−i2−i2i2000000000000
χ492-2-222-22-2-22002-200-222-200i2−i2−i2i2−i2i2i2−i22-200000000−i2i2i2−i2-2200i2−i2−i2i2−i2i2i2−i2000000000000
χ502-2-222-22-2-22002-200-222-200i2−i2−i2i2−i2i2i2−i2-2200000000−i2i2i2−i22-200−i2i2i2−i2i2−i2−i2i2000000000000
χ512-2-222-22-2-22002-200-222-200−i2i2i2−i2i2−i2−i2i22-200000000i2−i2−i2i2-2200−i2i2i2−i2i2−i2−i2i2000000000000
χ522-2-222-22-2-22002-200-222-200−i2i2i2−i2i2−i2−i2i2-2200000000i2−i2−i2i22-200i2−i2−i2i2−i2i2i2−i2000000000000
χ5344444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000000
χ5444-4-44-4-444444-4-4-4-40000-440000000000000000000000000000000000000000000000
χ554-444-4-4-44004-4004-400000000000000004i−4i0000000000000000000000000000000000
χ564-444-4-4-44004-4004-40000000000000000−4i4i0000000000000000000000000000000000
χ574-444-4-4-4400-4400-4400000000000000000000000000000000000000000000002i2−2i20000
χ584-444-4-4-4400-4400-440000000000000000000000000000000000000000000000−2i22i20000
χ594-44-444-4-4-4400-44000000002i2−2i22i2−2i2−2i22i2−2i22i200000000000000000000000000000000000000
χ604-44-444-4-4-4400-4400000000−2i22i2−2i22i22i2−2i22i2−2i200000000000000000000000000000000000000
χ614-4-444-44-44-400-44000000002i2−2i2−2i22i22i2−2i2−2i22i200000000000000000000000000000000000000
χ624-4-444-44-44-400-4400000000−2i22i22i2−2i2−2i22i22i2−2i200000000000000000000000000000000000000
χ634-4-4-4-4444004-400-4400000000000000000000000000000000000000000000000022−2200
χ644-4-4-4-4444004-400-44000000000000000000000000000000000000000000000000−222200
χ654-4-4-4-444400-44004-40000000000000000004-400000000000000000000000000000000
χ664-4-4-4-444400-44004-4000000000000000000-4400000000000000000000000000000000
χ67888-8-8-88-8000000000000000000000000000000000000000000000000000000000000
χ6888-88-88-8-8000000000000000000000000000000000000000000000000000000000000

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