Finite Group Databasebeta

← Group #486398

Character table — Group #486398

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122224444444444488888888888888816161616161616161616161616161616163232
order12222244222244444444444444444444442244444448888888844
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-111-1-1111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-111-1-1-1-11111-1-1111-1-1-1-1-1-1-1-1-1-111
χ41111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-11-1-111111111-1-1
χ5111111111111111-1-1-1-11-1-11111-1-1-1-1-1-11111-1-111-1111111-1-1-1-1-1-1
χ6111111111111111-1-1-1-11-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1111111
χ7111111111111111-1-1-1-11-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-11111-1-1
χ8111111111111111-1-1-1-11-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-11111-1-1-1-111
χ9111111-1-11-1-11-1-1-11111-1-1-111-1-1-1-111-1-1111-11-11-111-111-1-111-1-11-1
χ10111111-1-11-1-11-1-1-11111-1-1-111-1-1-1-111-1-111-111-1-1111-1-1-111-1-111-11
χ11111111-1-11-1-11-1-1-11111-1-1-1-1-111-1-1-1-111111-1-111-11-11-1-111-1-1111-1
χ12111111-1-11-1-11-1-1-11111-1-1-1-1-111-1-1-1-11111-11-11-111-1111-1-111-1-1-11
χ13111111-1-11-1-11-1-1-1-1-1-1-1-11111-1-111-1-111111-1-111-1-11-111-1-1-1-111-11
χ14111111-1-11-1-11-1-1-1-1-1-1-1-11111-1-111-1-11111-11-11-11-11-1-1-11111-1-11-1
χ15111111-1-11-1-11-1-1-1-1-1-1-1-111-1-1111111-1-1111-11-11-1-1-11-1-11111-1-1-11
χ16111111-1-11-1-11-1-1-1-1-1-1-1-111-1-1111111-1-111-111-1-11-1-1111-1-1-1-1111-1
χ17222222222-2-222-2-222222220000-2-20000-2-2000000-2000000000000
χ18222222222-2-222-2-2-2-2-2-22-2-20000220000-2-20000002000000000000
χ1922222222-222-22-2-20000-20022220000002-20000000-2-20000000000
χ2022222222-222-22-2-20000-200-2-2-2-20000002-20000000220000000000
χ2122222222-2-2-2-22220000-2000000002222-2200-2-2000000000000000
χ2222222222-2-2-2-22220000-200000000-2-2-2-2-220022000000000000000
χ23222222-2-22222-2222222-2-2-20000220000-2-2000000-2000000000000
χ24222222-2-22222-222-2-2-2-2-2220000-2-20000-2-20000002000000000000
χ25222222-2-2-222-2-2-2-2000020000000022-2-2-2200-22000000000000000
χ26222222-2-2-222-2-2-2-20000200000000-2-222-22002-2000000000000000
χ27222222-2-2-2-2-2-2-222000020022-2-20000002-20000000-220000000000
χ28222222-2-2-2-2-2-2-2220000200-2-2220000002-200000002-20000000000
χ2922-2-22-200-22-2202-222-2-200000002-2000000000000000i2−i2i2−i2i2−i2i2−i200
χ3022-2-22-200-22-2202-222-2-200000002-2000000000000000−i2i2−i2i2−i2i2−i2i200
χ3122-2-22-200-22-2202-2-2-2220000000-22000000000000000i2−i2i2−i2−i2i2−i2i200
χ3222-2-22-200-22-2202-2-2-2220000000-22000000000000000−i2i2−i2i2i2−i2i2−i200
χ3322-2-22-200-2-2220-2222-2-20000000-22000000000000000i2−i2−i2i2i2−i2−i2i200
χ3422-2-22-200-2-2220-2222-2-20000000-22000000000000000−i2i2i2−i2−i2i2i2−i200
χ3522-2-22-200-2-2220-22-2-22200000002-2000000000000000i2−i2−i2i2−i2i2i2−i200
χ3622-2-22-200-2-2220-22-2-22200000002-2000000000000000−i2i2i2−i2i2−i2−i2i200
χ374444-4-4440000-40000000000000000000002200-2-20000000000000
χ384444-4-4440000-4000000000000000000000-2-200220000000000000
χ394444-4-4-4-4000040000000000000000000002-200-220000000000000
χ404444-4-4-4-400004000000000000000000000-22002-20000000000000
χ4144-4-44-40044-4-40-4400000000000000000000000000000000000000
χ4244-4-44-4004-44-404-400000000000000000000000000000000000000
χ434-44-4004-400000002i−2i2i−2i02i−2i2i−2i2i−2i002-22-2000000000000000000000
χ444-44-4004-400000002i−2i2i−2i02i−2i−2i2i−2i2i00-22-22000000000000000000000
χ454-44-4004-40000000−2i2i−2i2i0−2i2i2i−2i2i−2i00-22-22000000000000000000000
χ464-44-4004-40000000−2i2i−2i2i0−2i2i−2i2i−2i2i002-22-2000000000000000000000
χ474-44-400-4400000002i−2i2i−2i0−2i2i2i−2i−2i2i002-2-22000000000000000000000
χ484-44-400-4400000002i−2i2i−2i0−2i2i−2i2i2i−2i00-222-2000000000000000000000
χ494-44-400-440000000−2i2i−2i2i02i−2i2i−2i−2i2i00-222-2000000000000000000000
χ504-44-400-440000000−2i2i−2i2i02i−2i−2i2i2i−2i002-2-22000000000000000000000
χ5188-8-8-8800000000000000000000000000000000000000000000000
χ528-8-88000000000004i−4i−4i4i0000000000000000000000000000000000
χ538-8-8800000000000−4i4i4i−4i0000000000000000000000000000000000

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