Finite Group Databasebeta

← Group #503448

Character table — Group #503448

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122224444444444488888888888888816161616161616161616161616161616163232
order12222244222244444442244444444444442444444444444888844
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-111111-1-111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111
χ41111111111111111111-1-111111-1-111-1-1-1-1-1-1-1-1-1-11-1-111111111-1-1
χ51111111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-11111-1111111-1-1-1-1-1-1
χ61111111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ71111111111111-1-1-1-111-1-1111-1-1-1-1-1-11111111111-1-1-1-1-1-1-11111-1-1
χ81111111111111-1-1-1-111-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1-11111-1-1-1-111
χ9111111-1-11111-111111111-1-1-1-1-1-1-11111-1-1-1111-1-1-11-111-1-111-1-11-1
χ10111111-1-11111-111111111-1-1-1-1-1-1-11111-1-1-11-1-111-11-1-1-111-1-111-11
χ11111111-1-11111-1111111-1-1-1-1-1-1-11111-1-1111-111-1-1-1-11-1-111-1-1111-1
χ12111111-1-11111-1111111-1-1-1-1-1-1-11111-1-1111-1-1-111-1-1111-1-111-1-1-11
χ13111111-1-11111-1-1-1-1-11111-1-1-111-1-1-1-1-1-1111-111-1-111-111-1-1-1-111-11
χ14111111-1-11111-1-1-1-1-11111-1-1-111-1-1-1-1-1-1111-1-1-11111-1-1-11111-1-11-1
χ15111111-1-11111-1-1-1-1-111-1-1-1-1-11111-1-111-1-1-1111-1-11-11-1-11111-1-1-11
χ16111111-1-11111-1-1-1-1-111-1-1-1-1-11111-1-111-1-1-11-1-1111-1111-1-1-1-1111-1
χ17222222222-2-2222222-2-2002-2-22200-2-20000000000-2000000000000
χ18222222222-2-222-2-2-2-2-2-2002-2-2-2-2002200000000002000000000000
χ1922222222-222-220000-2-222-22-200220000000000000-2-20000000000
χ2022222222-222-220000-2-2-2-2-22-200-2-20000000000000220000000000
χ2122222222-2-2-2-2200002200-2-220000002222-2-200000000000000000
χ2222222222-2-2-2-2200002200-2-22000000-2-2-2-22200000000000000000
χ23222222-2-22-2-22-22222-2-200-222-2-200-2-200000000002000000000000
χ24222222-2-22-2-22-2-2-2-2-2-2-200-2222200220000000000-2000000000000
χ25222222-2-2-222-2-20000-2-2222-2200-2-20000000000000-220000000000
χ26222222-2-2-222-2-20000-2-2-2-22-22002200000000000002-20000000000
χ27222222-2-2-2-2-2-2-20000220022-200000022-2-22-200000000000000000
χ28222222-2-2-2-2-2-2-20000220022-2000000-2-222-2200000000000000000
χ2922-2-2-220022-2-2022-2-22-20000000002-20000000000000002i−2i002i−2i00
χ3022-2-2-220022-2-2022-2-22-20000000002-2000000000000000−2i2i00−2i2i00
χ3122-2-2-220022-2-20-2-2222-2000000000-220000000000000002i−2i00−2i2i00
χ3222-2-2-220022-2-20-2-2222-2000000000-22000000000000000−2i2i002i−2i00
χ3322-2-2-22002-22-2022-2-2-22000000000-2200000000000002i−2i002i−2i0000
χ3422-2-2-22002-22-2022-2-2-22000000000-220000000000000−2i2i00−2i2i0000
χ3522-2-2-22002-22-20-2-222-220000000002-200000000000002i−2i00−2i2i0000
χ3622-2-2-22002-22-20-2-222-220000000002-20000000000000−2i2i002i−2i0000
χ374444-4-4440000-4000000000000000000000002-22-20000000000000
χ384444-4-4440000-400000000000000000000000-22-220000000000000
χ394444-4-4-4-400004000000000000000000000002-2-220000000000000
χ404444-4-4-4-40000400000000000000000000000-222-20000000000000
χ4144-4-4-4400-44-4400000-440000000000000000000000000000000000
χ4244-4-4-4400-4-444000004-40000000000000000000000000000000000
χ434-44-4004i−4i000002i−2i2i−2i002-20002-22i−2i002i−2i2-20000000000000000000
χ444-44-4004i−4i000002i−2i2i−2i00-220002-2−2i2i00−2i2i-220000000000000000000
χ454-44-4004i−4i00000−2i2i−2i2i002-2000-222i−2i00−2i2i-220000000000000000000
χ464-44-4004i−4i00000−2i2i−2i2i00-22000-22−2i2i002i−2i2-20000000000000000000
χ474-44-400−4i4i000002i−2i2i−2i002-2000-22−2i2i002i−2i-220000000000000000000
χ484-44-400−4i4i000002i−2i2i−2i00-22000-222i−2i00−2i2i2-20000000000000000000
χ494-44-400−4i4i00000−2i2i−2i2i002-20002-2−2i2i00−2i2i2-20000000000000000000
χ504-44-400−4i4i00000−2i2i−2i2i00-220002-22i−2i002i−2i-220000000000000000000
χ5188-8-88-800000000000000000000000000000000000000000000000
χ528-8-880000000004i−4i−4i4i000000000000000000000000000000000000
χ538-8-88000000000−4i4i4i−4i000000000000000000000000000000000000

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