Finite Group Databasebeta

← Group #486139

Character table — Group #486139

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122224444444444488888888888888816161616161616161616161616161616163232
order12222222222222244442222244444444442244444448888888844
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-11-1111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1-1-111-1-111-1111-11-11-1-1-1-1-1-1-1-1-111
χ41111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-11-111111111-1-1
χ5111111111-1-1-1-11111111-1-11111-1-1-1-1-1-111-1111-111-111111-1-1-1-1-1-1
χ6111111111-1-1-1-11111111-1-11111-1-1-1-1-1-111-1-1-1-1-1-11-11-1-1-1-1111111
χ7111111111-1-1-1-11111111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-11111-1-1
χ8111111111-1-1-1-11111111-1-1-1-1-1-111-1-111111-1-1-11-1-1-1-11111-1-1-1-111
χ91111-1-111-1111111-1-1-1-1-1-1-111-1-111-1-1-1-111111-1-1-111-111-1-111-1-11-1
χ101111-1-111-1111111-1-1-1-1-1-1-111-1-111-1-1-1-1111-1-11-1111-1-1-111-1-111-11
χ111111-1-111-1111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-111-11-1-111-1-111-1-1111-1
χ121111-1-111-1111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1111-11111-1-111-1-1-11
χ131111-1-111-1-1-1-1-111-1-1-1-1-11111-1-1-1-1111111-111-11-11-1-111-1-1-1-111-11
χ141111-1-111-1-1-1-1-111-1-1-1-1-11111-1-1-1-1111111-1-1-11111-1-1-1-11111-1-11-1
χ151111-1-111-1-1-1-1-111-1-1-1-1-111-1-1111111-1-111111-1-1-1-1-11-1-11111-1-1-11
χ161111-1-111-1-1-1-1-111-1-1-1-1-111-1-1111111-1-1111-1-11-11-1-1111-1-1-1-1111-1
χ172222222220000-2-222-2-2-20000002200222-2-2000-200000000000000
χ182222222220000-2-222-2-2-2000000-2-200-2-22-22000200000000000000
χ192222222220000-2-2-2-222-2002222000000-22000000-20-20000000000
χ202222222220000-2-2-2-222-200-2-2-2-2000000-220000002020000000000
χ21222222222222222-2-2-2-2222000000-2-200-2-20000000-200000000000
χ22222222222-2-2-2-222-2-2-2-22-2-20000002200-2-20000000200000000000
χ232222-2-222-20000-2-222-2-220022-2-2000000-22000000-2020000000000
χ242222-2-222-20000-2-222-2-2200-2-222000000-2200000020-20000000000
χ252222-2-222-20000-2-2-2-22220000002200-2-22-2-2000200000000000000
χ262222-2-222-20000-2-2-2-2222000000-2-200222-22000-200000000000000
χ272222-2-222-22222222222-2-2-20000002200-2-20000000-200000000000
χ282222-2-222-2-2-2-2-2222222-222000000-2-200-2-20000000200000000000
χ2922-2-2002-2022-2-22-22i−2i2i−2i0000000002i−2i00000000000002−2i2−i22−2i2−i200
χ3022-2-2002-2022-2-22-22i−2i2i−2i0000000002i−2i0000000000000−22−i2i2−22−i2i200
χ3122-2-2002-2022-2-22-2−2i2i−2i2i000000000−2i2i00000000000002−2−i2i22−2−i2i200
χ3222-2-2002-2022-2-22-2−2i2i−2i2i000000000−2i2i0000000000000−22i2−i2−22i2−i200
χ3322-2-2002-20-2-2222-22i−2i2i−2i000000000−2i2i00000000000002−2i2−i2−22−i2i200
χ3422-2-2002-20-2-2222-22i−2i2i−2i000000000−2i2i0000000000000−22−i2i22−2i2−i200
χ3522-2-2002-20-2-2222-2−2i2i−2i2i0000000002i−2i00000000000002−2−i2i2−22i2−i200
χ3622-2-2002-20-2-2222-2−2i2i−2i2i0000000002i−2i0000000000000−22i2−i22−2−i2i200
χ37444444-4-4-4000000000000000000000000002-2-2020000000000000
χ38444444-4-4-400000000000000000000000000-2220-20000000000000
χ394444-4-4-4-44000000000000000000000000002-220-20000000000000
χ404444-4-4-4-4400000000000000000000000000-22-2020000000000000
χ4144-4-4004-400000-444i−4i−4i4i0000000000000000000000000000000000
χ4244-4-4004-400000-44−4i4i4i−4i0000000000000000000000000000000000
χ434-4-444-40002-22-200000002-22-22-22-2002-2000000000000000000000
χ444-4-444-40002-22-200000002-2-22-22-2200-22000000000000000000000
χ454-4-444-4000-22-220000000-222-22-2-2200-22000000000000000000000
χ464-4-444-4000-22-220000000-22-22-222-2002-2000000000000000000000
χ474-4-44-440002-22-20000000-222-2-222-200-22000000000000000000000
χ484-4-44-440002-22-20000000-22-222-2-22002-2000000000000000000000
χ494-4-44-44000-22-2200000002-22-2-22-22002-2000000000000000000000
χ504-4-44-44000-22-2200000002-2-222-22-200-22000000000000000000000
χ5188-8-800-88000000000000000000000000000000000000000000000
χ528-88-8000004-4-440000000000000000000000000000000000000000
χ538-88-800000-444-40000000000000000000000000000000000000000

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