Finite Group Databasebeta

← Group #278417

Character table — Group #278417

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111122222222222244444444444448888888888888888888888888816161616161632323232
order12222244444488882244444888888444444888888888888888888888888882488
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ41111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-111-1-11111111-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-111-1-1
χ61111111111111111-1-111-1-11111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111-1-111-1-11111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ81111111111111111-1-111-1-11111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111111-1-1
χ9111111111111-1-1-1-11111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-111-1-11-11-1
χ10111111111111-1-1-1-11111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-11-1-111-11-11
χ11111111111111-1-1-1-11111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111111-111-1-1-11-11
χ12111111111111-1-1-1-11111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-11-1-1111-11-1
χ13111111111111-1-1-1-1-1-111-1-11-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-111111-1-1-1111-1-11
χ14111111111111-1-1-1-1-1-111-1-11-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1111-1-1-111-1
χ15111111111111-1-1-1-1-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-11-1-1-111-111-1
χ16111111111111-1-1-1-1-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1111-1-11-1-11
χ1722222222-2-222000022-2-222-2000000-2-222-2-22200000000-2-2000000000000000000
χ1822222222-2-222000022-2-222-2000000-2-2-2-222-2-20000000022000000000000000000
χ1922222222-2-2220000-2-2-2-2-2-2-20000002222-2-2-2-20000000022000000000000000000
χ2022222222-2-2220000-2-2-2-2-2-2-200000022-2-2222200000000-2-2000000000000000000
χ21222222-2-222-2-22222002-200-222-2-2-2-200000000000000000000000000002i−2i2i−2i0000
χ22222222-2-222-2-22222002-200-222-2-2-2-20000000000000000000000000000−2i2i−2i2i0000
χ23222222-2-222-2-2-2-2-2-2002-200-2-2-2222200000000000000000000000000002i−2i−2i2i0000
χ24222222-2-222-2-2-2-2-2-2002-200-2-2-222220000000000000000000000000000−2i2i2i−2i0000
χ252222-2-22-222-22222200-2200-2-2-222-2-200000000000000000022220000-2-200000000
χ262222-2-22-222-22222200-2200-2-2-222-2-2000000000000000000-2-2-2-200002200000000
χ272222-2-22-222-22-2-2-2-200-2200-222-2-22200000000000000000022-2-20000-2200000000
χ282222-2-22-222-22-2-2-2-200-2200-222-2-222000000000000000000-2-22200002-200000000
χ292222-2-2-22222-2222222-2-2-2-22-2-2-2-2222-200000022-2-2000000000000000000000000
χ302222-2-2-22222-22222-2-2-2-2222-2-2-2-222-22000000-2-222000000000000000000000000
χ312222-2-2-22222-2-2-2-2-222-2-2-2-222222-2-22-2000000-2-222000000000000000000000000
χ322222-2-2-22222-2-2-2-2-2-2-2-2-22222222-2-2-2200000022-2-2000000000000000000000000
χ332222-2-2-22-2-22-200002222-2-2-2000000-2200000000002i2i−2i−2i0000002i2i−2i−2i0000000000
χ342222-2-2-22-2-22-200002222-2-2-2000000-220000000000−2i−2i2i2i000000−2i−2i2i2i0000000000
χ352222-2-2-22-2-22-20000-2-22222-20000002-200000000002i2i−2i−2i000000−2i−2i2i2i0000000000
χ362222-2-2-22-2-22-20000-2-22222-20000002-20000000000−2i−2i2i2i0000002i2i−2i−2i0000000000
χ372-2-222-22-2002-222−2−22-2002-202−22−22−2002i−2i002i−2i2−22−2i2−i2i2−i2000000i2−i2i2−i20000000000
χ382-2-222-22-2002-222−2−22-2002-202−22−22−200−2i2i00−2i2i2−22−2−i2i2−i2i2000000−i2i2−i2i20000000000
χ392-2-222-22-2002-222−2−2-2200-2202−22−22−2002i−2i00−2i2i−22−22i2−i2i2−i2000000−i2i2−i2i20000000000
χ402-2-222-22-2002-222−2−2-2200-2202−22−22−200−2i2i002i−2i−22−22−i2i2−i2i2000000i2−i2i2−i20000000000
χ412-2-222-22-2002-2−2−2222-2002-20−22−22−22002i−2i002i−2i−22−22−i2i2−i2i2000000−i2i2−i2i20000000000
χ422-2-222-22-2002-2−2−2222-2002-20−22−22−2200−2i2i00−2i2i−22−22i2−i2i2−i2000000i2−i2i2−i20000000000
χ432-2-222-22-2002-2−2−222-2200-220−22−22−22002i−2i00−2i2i2−22−2−i2i2−i2i2000000i2−i2i2−i20000000000
χ442-2-222-22-2002-2−2−222-2200-220−22−22−2200−2i2i002i−2i2−22−2i2−i2i2−i2000000−i2i2−i2i20000000000
χ452-2-22-22-2-2002222−2−22-200-220−22−222−200002-2002−2−222−2−222-200002−2−220000000000
χ462-2-22-22-2-2002222−2−22-200-220−22−222−20000-22002−2−22−222−2-220000−222−20000000000
χ472-2-22-22-2-2002222−2−2-22002-20−22−222−200002-200−222−22−2−22-220000−222−20000000000
χ482-2-22-22-2-2002222−2−2-22002-20−22−222−20000-2200−222−2−222−22-200002−2−220000000000
χ492-2-22-22-2-20022−2−2222-200-2202−22−2−2200002-200−222−2−222−22-20000−222−20000000000
χ502-2-22-22-2-20022−2−2222-200-2202−22−2−220000-2200−222−22−2−22-2200002−2−220000000000
χ512-2-22-22-2-20022−2−222-22002-202−22−2−2200002-2002−2−22−222−2-2200002−2−220000000000
χ522-2-22-22-2-20022−2−222-22002-202−22−2−220000-22002−2−222−2−222-20000−222−20000000000
χ53444444-4-4-4-4-4-4000000-44004000000000000000000000000000000000000000000
χ544444-4-44-4-4-4-440000004-4004000000000000000000000000000000000000000000
χ5544-4-40000-44004i−4i4i−4i00000000000000000000000000000002i2−2i222−2200000000000000
χ5644-4-40000-44004i−4i4i−4i0000000000000000000000000000000−2i22i2−222200000000000000
χ5744-4-40000-4400−4i4i−4i4i00000000000000000000000000000002i2−2i2−222200000000000000
χ5844-4-40000-4400−4i4i−4i4i0000000000000000000000000000000−2i22i222−2200000000000000
χ594-4-444-4-4400-442222−22−22000000022−22−2222−2222000000000000000000000000000000000000
χ604-4-444-4-4400-44−22−2222220000000−222222−2222−22000000000000000000000000000000000000
χ614-4-44-444400-4-42222−22−220000000−222222−22−2222000000000000000000000000000000000000
χ624-4-44-444400-4-4−22−222222000000022−22−222222−22000000000000000000000000000000000000
χ6388-8-800008-80000000000000000000000000000000000000000000000000000000
χ648-88-8000000004i2−4i2−4i24i20000000000000000000000000000000000000000000000000
χ658-88-800000000−4i24i24i2−4i20000000000000000000000000000000000000000000000000

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