Finite Group Databasebeta

← Group #263605

Character table — Group #263605

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111222222222222444444444444488888888888888888888881616161616161616161616163232
order12222244444488882244444888888224444888888888888888822444444444488
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111-1-111-1-1111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111
χ61111111111111111-1-111-1-1111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1
χ71111111111111111-1-111-1-11111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ81111111111111111-1-111-1-11111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111
χ9111111111111-1-1-1-11111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-11-1
χ10111111111111-1-1-1-11111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-111-11
χ11111111111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111-11-111-1-1-1-111-11
χ12111111111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-11-11-1-11111-1-11-1
χ13111111111111-1-1-1-1-1-111-1-11-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111-11-1-1-111-1-1111-1
χ14111111111111-1-1-1-1-1-111-1-11-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-11-1111-1-111-1-1-11
χ15111111111111-1-1-1-1-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11-11-1-1-11111-1-1-11
χ16111111111111-1-1-1-1-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-11-1111-1-1-1-1111-1
χ17222222222-2-22000022-2-222-200000022-2-2-2-222-2-200000000000000000000000000
χ18222222222-2-22000022-2-222-2000000-2-2-2-222-2-22200000000000000000000000000
χ19222222222-2-220000-2-2-2-2-2-2-20000002222-2-2-2-22200000000000000000000000000
χ20222222222-2-220000-2-2-2-2-2-2-2000000-2-2222222-2-200000000000000000000000000
χ21222222-2-2-222-2222200-2200-2-2-2-2-222000000000000000000000000002-22-2000000
χ22222222-2-2-222-2222200-2200-2-2-2-2-22200000000000000000000000000-22-22000000
χ23222222-2-2-222-2-2-2-2-200-2200-22222-2-2000000000000000000000000002-2-22000000
χ24222222-2-2-222-2-2-2-2-200-2200-22222-2-200000000000000000000000000-222-2000000
χ252222-2-22-2-22222222002-200-222-2-2-2-2000000000000000000000022-2-20000000000
χ262222-2-22-2-22222222002-200-222-2-2-2-20000000000000000000000-2-2220000000000
χ272222-2-22-2-2222-2-2-2-2002-200-2-2-2222200000000000000000000002-2-220000000000
χ282222-2-22-2-2222-2-2-2-2002-200-2-2-222220000000000000000000000-222-20000000000
χ292222-2-2-22222-2222222-2-2-2-22-2-222-2-200-22000000-2-2220000000000000000000000
χ302222-2-2-22222-22222-2-2-2-2222-2-222-2-2002-200000022-2-20000000000000000000000
χ312222-2-2-22222-2-2-2-2-222-2-2-2-2222-2-22200-2200000022-2-20000000000000000000000
χ322222-2-2-22222-2-2-2-2-2-2-2-2-222222-2-222002-2000000-2-2220000000000000000000000
χ332222-2-2-222-2-2-200002222-2-2-2000000002-200000000002i2i−2i−2i2i2i−2i−2i00000000000000
χ342222-2-2-222-2-2-200002222-2-2-2000000002-20000000000−2i−2i2i2i−2i−2i2i2i00000000000000
χ352222-2-2-222-2-2-20000-2-22222-200000000-2200000000002i2i−2i−2i−2i−2i2i2i00000000000000
χ362222-2-2-222-2-2-20000-2-22222-200000000-220000000000−2i−2i2i2i2i2i−2i−2i00000000000000
χ372-2-222-222-200-222−2−22-2002-202−22−22−200002i−2i002i−2i2−22−2i2−i2i2−i2i2−i2i2−i200000000000000
χ382-2-222-222-200-222−2−22-2002-202−22−22−20000−2i2i00−2i2i2−22−2−i2i2−i2i2−i2i2−i2i200000000000000
χ392-2-222-222-200-222−2−2-2200-2202−22−22−200002i−2i00−2i2i−22−22i2−i2i2−i2−i2i2−i2i200000000000000
χ402-2-222-222-200-222−2−2-2200-2202−22−22−20000−2i2i002i−2i−22−22−i2i2−i2i2i2−i2i2−i200000000000000
χ412-2-222-222-200-2−2−2222-2002-20−22−22−2200002i−2i002i−2i−22−22−i2i2−i2i2−i2i2−i2i200000000000000
χ422-2-222-222-200-2−2−2222-2002-20−22−22−220000−2i2i00−2i2i−22−22i2−i2i2−i2i2−i2i2−i200000000000000
χ432-2-222-222-200-2−2−222-2200-220−22−22−2200002i−2i00−2i2i2−22−2−i2i2−i2i2i2−i2i2−i200000000000000
χ442-2-222-222-200-2−2−222-2200-220−22−22−220000−2i2i002i−2i2−22−2i2−i2i2−i2−i2i2−i2i200000000000000
χ452-2-22-22-22-200222−2−22-200-220−222−2−222-200002-200−222−22−2−222−2−2200000000000000
χ462-2-22-22-22-200222−2−22-200-220−222−2−22-220000-2200−222−2−222−2−222−200000000000000
χ472-2-22-22-22-200222−2−2-22002-20−222−2−222-20000-22002−2−222−2−22−222−200000000000000
χ482-2-22-22-22-200222−2−2-22002-20−222−2−22-2200002-2002−2−22−222−22−2−2200000000000000
χ492-2-22-22-22-2002−2−2222-200-2202−2−222−22-200002-2002−2−22−222−2−222−200000000000000
χ502-2-22-22-22-2002−2−2222-200-2202−2−222−2-220000-22002−2−222−2−222−2−2200000000000000
χ512-2-22-22-22-2002−2−222-22002-202−2−222−22-20000-2200−222−2−222−22−2−2200000000000000
χ522-2-22-22-22-2002−2−222-22002-202−2−222−2-2200002-200−222−22−2−22−222−200000000000000
χ53444444-4-4-4-4-4-40000004-4004000000000000000000000000000000000000000000
χ544444-4-44-4-4-4-44000000-44004000000000000000000000000000000000000000000
χ554-44-400000-4404-44-400000000000000000000000000000000000000000002i−2i2i−2i00
χ564-44-400000-4404-44-40000000000000000000000000000000000000000000−2i2i−2i2i00
χ574-44-400000-440-44-4400000000000000000000000000000000000000000002i−2i−2i2i00
χ584-44-400000-440-44-440000000000000000000000000000000000000000000−2i2i2i−2i00
χ594-4-444-4-4-440042222−22−220000000−2222−222222−22000000000000000000000000000000000000
χ604-4-444-4-4-44004−22−222222000000022−2222−22−2222000000000000000000000000000000000000
χ614-4-44-444-4400-42222−22−22000000022−22−2222−2222000000000000000000000000000000000000
χ624-4-44-444-4400-4−22−2222220000000−222222−2222−22000000000000000000000000000000000000
χ6388-8-80000000042−42−42420000000000000000000000000000000000000000000000000
χ6488-8-800000000−424242−420000000000000000000000000000000000000000000000000
χ658-88-8000008-8000000000000000000000000000000000000000000000000000000

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