Finite Group Databasebeta

← Group #502970

Character table — Group #502970

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122224444444444488888888888888816161616161616161616161616161616163232
order12222244222244444442244444444444442444444444444444488
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1-1-11-1-11111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111
χ41111111111111111111-1-1-1-11-1-11111-1-1111-1-1-1-1-1-1-1-111111111-1-1
χ511111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1
χ611111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111
χ711111111111111-1-1-1-11-1-1-1-111111-1-111-1-1-11111-1-111-1-1-1-11111-1-1
χ811111111111111-1-1-1-11-1-1-1-111111-1-111-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ9111111-1-111111-11111111-1-1-1-1-1-1-11111-1-1-11-11-11-11-111-1-111-1-11-1
χ10111111-1-111111-11111111-1-1-1-1-1-1-11111-1-1-1-11-111-11-1-1-111-1-111-11
χ11111111-1-111111-111111-1-111-111-1-111-1-1-1-1-11-11-1-11-11-1-111-1-1111-1
χ12111111-1-111111-111111-1-111-111-1-111-1-1-1-1-1-11-11-11-1111-1-111-1-1-11
χ13111111-1-111111-1-1-1-1-1111-1-1-111-1-1-1-1-1-11111-11-11-1-1111-1-1-1-111-11
χ14111111-1-111111-1-1-1-1-1111-1-1-111-1-1-1-1-1-1111-11-111-1-11-1-11111-1-11-1
χ15111111-1-111111-1-1-1-1-11-1-111-1-1-1-1-1-1-1111111-11-1-111-1-1-11111-1-1-11
χ16111111-1-111111-1-1-1-1-11-1-111-1-1-1-1-1-1-111111-11-11-111-111-1-1-1-1111-1
χ172222222222-2-2-220000-20000-2222-20022000000000-2-20000000000
χ182222222222-2-2-220000-20000-2-2-22-200-2-2000000000220000000000
χ1922222222-2-222-220000-22222-200-2200000000000-2-2000000000000
χ2022222222-2-222-220000-2-2-2-2-2-200-220000000000022000000000000
χ2122222222-2-2-2-222222220000200-2-2-2-20022-2000000000000000000
χ2222222222-2-2-2-222-2-2-2-220000200-2-22200-2-22000000000000000000
χ23222222-2-222-2-2-2-20000-20000222-2200-2-20000000002-20000000000
χ24222222-2-222-2-2-2-20000-200002-2-2-220022000000000-220000000000
χ25222222-2-2-2-222-2-20000-222-2-22002-200000000000-22000000000000
χ26222222-2-2-2-222-2-20000-2-2-2222002-2000000000002-2000000000000
χ27222222-2-2-2-2-2-22-2222220000-20022-2-200-2-22000000000000000000
χ28222222-2-2-2-2-2-22-2-2-2-2-220000-20022220022-2000000000000000000
χ2922-2-22-2002-22-2-202i2i−2i−2i20000000002i−2i0000000000000002i−2i002-200
χ3022-2-22-2002-22-2-202i2i−2i−2i20000000002i−2i000000000000000−2i2i00-2200
χ3122-2-22-2002-22-2-20−2i−2i2i2i2000000000−2i2i0000000000000002i−2i00-2200
χ3222-2-22-2002-22-2-20−2i−2i2i2i2000000000−2i2i000000000000000−2i2i002-200
χ3322-2-22-200-22-22-202i2i−2i−2i2000000000−2i2i00000000000002i−2i002-20000
χ3422-2-22-200-22-22-202i2i−2i−2i2000000000−2i2i0000000000000−2i2i00-220000
χ3522-2-22-200-22-22-20−2i−2i2i2i20000000002i−2i00000000000002i−2i00-220000
χ3622-2-22-200-22-22-20−2i−2i2i2i20000000002i−2i0000000000000−2i2i002-20000
χ374444-4-44400000-40000000000000000000002-2-2200000000000000
χ384444-4-44400000-4000000000000000000000-222-200000000000000
χ394444-4-4-4-400000400000000000000000000022-2-200000000000000
χ404444-4-4-4-4000004000000000000000000000-2-22200000000000000
χ4144-4-44-4004-4-44400000-40000000000000000000000000000000000
χ4244-4-44-400-444-4400000-40000000000000000000000000000000000
χ434-44-4004i−4i0000002i−2i2i−2i02-22i−2i02-200002i−2i2-20000000000000000000
χ444-44-4004i−4i0000002i−2i2i−2i0-22−2i2i0-220000−2i2i2-20000000000000000000
χ454-44-4004i−4i000000−2i2i−2i2i02-22i−2i0-220000−2i2i-220000000000000000000
χ464-44-4004i−4i000000−2i2i−2i2i0-22−2i2i02-200002i−2i-220000000000000000000
χ474-44-400−4i4i0000002i−2i2i−2i02-2−2i2i0-2200002i−2i-220000000000000000000
χ484-44-400−4i4i0000002i−2i2i−2i0-222i−2i02-20000−2i2i-220000000000000000000
χ494-44-400−4i4i000000−2i2i−2i2i02-2−2i2i02-20000−2i2i2-20000000000000000000
χ504-44-400−4i4i000000−2i2i−2i2i0-222i−2i0-2200002i−2i2-20000000000000000000
χ5188-8-8-8800000000000000000000000000000000000000000000000
χ528-8-8800000000004-4-4400000000000000000000000000000000000
χ538-8-880000000000-444-400000000000000000000000000000000000

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