Finite Group Databasebeta

← Group #272399

Character table — Group #272399

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122222222444448888888888888888816161616161616161616161616161616163232
order12222244444422444224444444888888882444488888888888848
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-111-1-1-1-1111111-1-1-1-1-111-1-1-1-1-1-1
χ3111111111111111111111111-1-111-1-11111-111-1-1-1-1-1111-1-1-1-111-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-111-1-111
χ5111111111111111111-1-111-1-11111-1-111111-1-111-1111-1-1-1-1-1-1-1-11-1
χ6111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11-1-111-1-1-1-111-1-11111-11
χ7111111111111111111-1-111-1-1-1-111111111-1-1-1-1-11-1-11-1-11111-1-1-11
χ8111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111-11111-1-1111-1
χ9111111111111-1-1111-111-1-111111111-1-1-1-11-1-1-1-11-1-1111-1-1-1-1-1-111
χ10111111111111-1-1111-111-1-11111-1-11111111-1-1-1-1111-1-1-1-1-11111-1-1
χ11111111111111-1-1111-111-1-111-1-111-1-1-1-1-1-1-1-1-111-1111111111-1-1-1-1
χ12111111111111-1-1111-111-1-111-1-1-1-1-1-11111-1-1-111-1-1-1-1-1-111-1-11111
χ13111111111111-1-1111-1-1-1-1-1-1-11111-1-1-1-1-1-1111-1-1-1-1-11-1-11111111-1
χ14111111111111-1-1111-1-1-1-1-1-1-111-1-1-1-11111111-1-1-111-11111-1-1-1-1-11
χ15111111111111-1-1111-1-1-1-1-1-1-1-1-11111-1-1-1-1-111111111-1-1-1-1-1-111-11
χ16111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1111111-111111-1-1-111-1-111-1-11-1
χ172222222-22-22200-2-2-202-2002-22200-2-20000-2000020000000000000
χ182222222-22-22200-2-2-202-2002-2-2-20022000020000-20000000000000
χ192222222-22-22200-2-2-20-2200-222200220000-20000-20000000000000
χ202222222-22-22200-2-2-20-2200-22-2-200-2-200002000020000000000000
χ21222222-22-22-2-2222-2-2200-2-20000000000000000000002i−2i00002i−2i00
χ22222222-22-22-2-2222-2-2200-2-2000000000000000000000−2i2i0000−2i2i00
χ23222222-22-22-2-2-2-22-2-2-200220000000000000000000002i−2i0000−2i2i00
χ24222222-22-22-2-2-2-22-2-2-20022000000000000000000000−2i2i00002i−2i00
χ252222-2-222-222-222-2-22-2002-20000220022-2-200000000-20000000000
χ262222-2-222-222-222-2-22-2002-20000-2-200-2-2220000000020000000000
χ272222-2-222-222-2-2-2-2-22200-2200002200-2-22200000000-20000000000
χ282222-2-222-222-2-2-2-2-22200-220000-2-20022-2-20000000020000000000
χ292222-2-2-2222-2222-22-2-22-2-22-2200000000000-220000000000000000
χ302222-2-2-2222-2222-22-2-2-22-222-2000000000002-20000000000000000
χ312222-2-2-2222-22-2-2-22-222-22-2-22000000000002-20000000000000000
χ322222-2-2-2222-22-2-2-22-22-222-22-200000000000-220000000000000000
χ332222-2-2-2-22-2-22002-2202200-2-200000000000002-20000002-2000000
χ342222-2-2-2-22-2-22002-2202200-2-20000000000000-22000000-22000000
χ352222-2-2-2-22-2-22002-220-2-2002200000000000002-2000000-22000000
χ362222-2-2-2-22-2-22002-220-2-200220000000000000-220000002-2000000
χ37444444-4-4-4-4-4-400-444000000000000000000000000000000000000
χ384444-4-44-4-4-44-40044-4000000000000000000000000000000000000
χ394-44-44-44040-4-4000000000000000000000000000022−2200000000000
χ404-44-44-44040-4-40000000000000000000000000000−222200000000000
χ414-44-44-4-40-404400000000000000004-400000000000000000000000
χ424-44-44-4-40-40440000000000000000-4400000000000000000000000
χ434-44-4-4440-40-440000000000004i−4i000000000000000000000000000
χ444-44-4-4440-40-44000000000000−4i4i000000000000000000000000000
χ454-44-4-44-40404-4000000000000000000000000000000000002i2−2i20000
χ464-44-4-44-40404-400000000000000000000000000000000000−2i22i20000
χ474-4-4400040-4004-40000000000002i2−2i2002i2−2i2000000000000000000000
χ484-4-4400040-4004-4000000000000−2i22i200−2i22i2000000000000000000000
χ494-4-4400040-400-440000000000002i2−2i200−2i22i2000000000000000000000
χ504-4-4400040-400-44000000000000−2i22i2002i2−2i2000000000000000000000
χ5188-8-800000000000000000000000000004-40000000000000000000
χ5288-8-80000000000000000000000000000-440000000000000000000
χ538-8-88000-8080000000000000000000000000000000000000000000

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