Finite Group Databasebeta

← Group #277887

Character table — Group #277887

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111122222222222244444444444888888888888888888816161616161616161616161616163232
order12222244444488882244444888824888888888888888884488888888888844
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ51111111111111111-1-111-1-111111-1-11-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1
χ61111111111111111-1-111-1-111111-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111-1-111-1-111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111
χ81111111111111111-1-111-1-111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1
χ9111111111111-1-1-1-11111111-1-1-1-111-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-11-111-1-11-1
χ10111111111111-1-1-1-11111111-1-1-1-111-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-111-11-1-111-11
χ11111111111111-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1111-111-1-1-11
χ12111111111111-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-11-1-1111-1
χ13111111111111-1-1-1-1-1-111-1-11-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-11-1-1-111-11
χ14111111111111-1-1-1-1-1-111-1-11-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111-1-111-1111-1-11-1
χ15111111111111-1-1-1-1-1-111-1-11-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1111-1-1-1111-1
χ16111111111111-1-1-1-1-1-111-1-11-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-111-1-1-1111-1-1-11
χ1722222222-2-222222200-2-200-222-2-200-2000000002222000000000000-2-2000000
χ1822222222-2-222222200-2-200-222-2-200-200000000-2-2-2-200000000000022000000
χ1922222222-2-222-2-2-2-200-2-200-2-2-2220020000000022-2-2000000000000-22000000
χ2022222222-2-222-2-2-2-200-2-200-2-2-22200200000000-2-2220000000000002-2000000
χ21222222-2-222-2-2000022-22-2-2-200002-200000000000002i2i−2i−2i002i−2i000000000000
χ22222222-2-222-2-2000022-22-2-2-200002-20000000000000−2i−2i2i2i00−2i2i000000000000
χ23222222-2-222-2-20000-2-2-2222-20000-2200000000000002i2i−2i−2i00−2i2i000000000000
χ24222222-2-222-2-20000-2-2-2222-20000-220000000000000−2i−2i2i2i002i−2i000000000000
χ252222-2-22222-2-2222222-2-2-2-22-2-222-22-222-2-20000000000000000000000000000
χ262222-2-22222-2-22222-2-2-2-2222-2-2222-2-2-2-2220000000000000000000000000000
χ272222-2-22222-2-2-2-2-2-222-2-2-2-2222-2-2-222-2-2220000000000000000000000000000
χ282222-2-22222-2-2-2-2-2-2-2-2-2-222222-2-22-2222-2-20000000000000000000000000000
χ292222-2-222-2-2-2-22222002200-2-2-2-2-2002000000000000000000000000002i−2i2i−2i00
χ302222-2-222-2-2-2-22222002200-2-2-2-2-200200000000000000000000000000−2i2i−2i2i00
χ312222-2-222-2-2-2-2-2-2-2-2002200-2222200-2000000000000000000000000002i−2i−2i2i00
χ322222-2-222-2-2-2-2-2-2-2-2002200-2222200-200000000000000000000000000−2i2i2i−2i00
χ332222-2-2-2-222220000222-222-20000-2-20000022-2-2000000002-200000000000000
χ342222-2-2-2-222220000222-222-20000-2-200000-2-22200000000-2200000000000000
χ352222-2-2-2-222220000-2-22-2-2-2-20000220000022-2-200000000-2200000000000000
χ362222-2-2-2-222220000-2-22-2-2-2-200002200000-2-222000000002-200000000000000
χ372-22-22-22-2002-22i2i−2i−2i00000002i−2i000000000i2−i2i2−i22-22i−2i2−22−20000i2−i22−200000000
χ382-22-22-22-2002-22i2i−2i−2i00000002i−2i000000000i2−i2i2−i2-22−2i2i2−22−20000−i2i2−2200000000
χ392-22-22-22-2002-22i2i−2i−2i00000002i−2i000000000−i2i2−i2i22-22i−2i−22−220000−i2i2−2200000000
χ402-22-22-22-2002-22i2i−2i−2i00000002i−2i000000000−i2i2−i2i2-22−2i2i−22−220000i2−i22−200000000
χ412-22-22-22-2002-2−2i−2i2i2i0000000−2i2i000000000i2−i2i2−i22-2−2i2i−22−220000i2−i2−2200000000
χ422-22-22-22-2002-2−2i−2i2i2i0000000−2i2i000000000i2−i2i2−i2-222i−2i−22−220000−i2i22−200000000
χ432-22-22-22-2002-2−2i−2i2i2i0000000−2i2i000000000−i2i2−i2i22-2−2i2i2−22−20000−i2i22−200000000
χ442-22-22-22-2002-2−2i−2i2i2i0000000−2i2i000000000−i2i2−i2i2-222i−2i2−22−20000i2−i2−2200000000
χ45444444-4-4-4-4-4-40000004-4004000000000000000000000000000000000000000
χ464444-4-4-4-4-4-444000000-44004000000000000000000000000000000000000000
χ474-44-44-4-4400-440000000000000000000000000000002i2−2i2−2i22i20000000000000000
χ484-44-44-4-4400-44000000000000000000000000000000−2i22i22i2−2i20000000000000000
χ494-44-4-444-400-444i4i−4i−4i0000000−4i4i0000000000000000000000000000000000000
χ504-44-4-444-400-44−4i−4i4i4i00000004i−4i0000000000000000000000000000000000000
χ514-44-4-44-44004-400000000000000000000002i2−2i2−2i22i2000000000000000000000000
χ524-44-4-44-44004-40000000000000000000000−2i22i22i2−2i2000000000000000000000000
χ534-4-4400004-4002i2−2i22i2−2i200004i−4i0002i2−2i20000022−220000000000000000000000000000
χ544-4-4400004-4002i2−2i22i2−2i20000−4i4i0002i2−2i200000−22220000000000000000000000000000
χ554-4-4400004-400−2i22i2−2i22i200004i−4i000−2i22i200000−22220000000000000000000000000000
χ564-4-4400004-400−2i22i2−2i22i20000−4i4i000−2i22i20000022−220000000000000000000000000000
χ574-4-440000-44002i2−2i22i2−2i24-40000000−2i22i20002i2−2i2000000000000000000000000000000
χ584-4-440000-44002i2−2i22i2−2i2-440000000−2i22i2000−2i22i2000000000000000000000000000000
χ594-4-440000-4400−2i22i2−2i22i24-400000002i2−2i2000−2i22i2000000000000000000000000000000
χ604-4-440000-4400−2i22i2−2i22i2-4400000002i2−2i20002i2−2i2000000000000000000000000000000
χ6188-8-80000000042−42−42420000000000000000000000000000000000000000000000
χ6288-8-800000000−424242−420000000000000000000000000000000000000000000000

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