Finite Group Databasebeta

← Group #502997

Character table — Group #502997

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122224444444444488888888888888816161616161616161616161616161616163232
order12222244444444444444444444444444442444444448888888888
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-1-11-1-111-111-1-1-1-1-1-1-1-111
χ411111111111111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-111111111-1-1
χ51111111111-1-1-1-111111111-1-1-1-11111-1-1-1-11-11-111-1111111-1-1-1-1-1-1
χ61111111111-1-1-1-111111111-1-1-1-11111-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1111111
χ71111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1111111-1-1-1-11111-1-1
χ81111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-11-1-11-1-11111-1-1-1-111
χ9111111-1-11-1111111111-1-1-111-1-111-1-111-1-11-1-111-1-11-111-1-111-1-11-1
χ10111111-1-11-1111111111-1-1-111-1-111-1-111-1-11-1-11-11-1-11-1-111-1-111-11
χ11111111-1-11-1111111111-1-1-111-1-1-1-111-1-111-1-11-11-111-1-1-111-1-1111-1
χ12111111-1-11-1111111111-1-1-111-1-1-1-111-1-111-1-11-1-111-1111-1-111-1-1-11
χ13111111-1-11-1-1-1-1-111111-1-1-1-1-11111-1-1-1-11111-1-11-111-111-1-1-1-111-11
χ14111111-1-11-1-1-1-1-111111-1-1-1-1-11111-1-1-1-11111-1-1-111-11-1-11111-1-11-1
χ15111111-1-11-1-1-1-1-111111-1-1-1-1-111-1-11111-1-1-11111-1-11-1-1-11111-1-1-11
χ16111111-1-11-1-1-1-1-111111-1-1-1-1-111-1-11111-1-1-1111-11-1-1111-1-1-1-1111-1
χ1722222222222222-2-2-2-222-2-2-2-222000000000-200000000000000000
χ182222222222-2-2-2-2-2-2-2-222-2-222-2-2000000000200000000000000000
χ1922222222-22000022-2-2-2-22-2000000002222000-200-2000000000000
χ2022222222-22000022-2-2-2-22-200000000-2-2-2-20002002000000000000
χ2122222222-220000-2-222-2-2-22000022220000-20-20000000000000000
χ2222222222-220000-2-222-2-2-220000-2-2-2-200002020000000000000000
χ23222222-2-22-22222-2-2-2-22-222-2-2-2-2000000000200000000000000000
χ24222222-2-22-2-2-2-2-2-2-2-2-22-2222222000000000-200000000000000000
χ25222222-2-2-2-2000022-2-2-22-220000000022-2-2000-2002000000000000
χ26222222-2-2-2-2000022-2-2-22-2200000000-2-222000200-2000000000000
χ27222222-2-2-2-20000-2-222-222-2000022-2-20000-2020000000000000000
χ28222222-2-2-2-20000-2-222-222-20000-2-222000020-20000000000000000
χ2922-2-22-200-202i2i−2i−2i2-22-220002i−2i0000000000000000000002i−2i002-200
χ3022-2-22-200-202i2i−2i−2i2-22-220002i−2i000000000000000000000−2i2i00-2200
χ3122-2-22-200-202i2i−2i−2i-22-222000−2i2i00000000000000000002i−2i002-20000
χ3222-2-22-200-202i2i−2i−2i-22-222000−2i2i0000000000000000000−2i2i00-220000
χ3322-2-22-200-20−2i−2i2i2i2-22-22000−2i2i0000000000000000000002i−2i00-2200
χ3422-2-22-200-20−2i−2i2i2i2-22-22000−2i2i000000000000000000000−2i2i002-200
χ3522-2-22-200-20−2i−2i2i2i-22-2220002i−2i00000000000000000002i−2i00-220000
χ3622-2-22-200-20−2i−2i2i2i-22-2220002i−2i0000000000000000000−2i2i002-20000
χ374444-4-4440-400000000000000000000000000002-20-220000000000
χ384444-4-4440-40000000000000000000000000000-2202-20000000000
χ394444-4-4-4-4040000000000000000000000000000220-2-20000000000
χ404444-4-4-4-4040000000000000000000000000000-2-20220000000000
χ4144-4-44-4004000004-4-44-40000000000000000000000000000000000
χ4244-4-44-400400000-444-4-40000000000000000000000000000000000
χ434-4-44004i−4i002i−2i2i−2i00000000002-22i−2i2-22-22i−2i0000000000000000000
χ444-4-44004i−4i002i−2i2i−2i00000000002-2−2i2i-22-22−2i2i0000000000000000000
χ454-4-44004i−4i00−2i2i−2i2i0000000000-222i−2i2-2-22−2i2i0000000000000000000
χ464-4-44004i−4i00−2i2i−2i2i0000000000-22−2i2i-222-22i−2i0000000000000000000
χ474-4-4400−4i4i002i−2i2i−2i0000000000-222i−2i-222-2−2i2i0000000000000000000
χ484-4-4400−4i4i002i−2i2i−2i0000000000-22−2i2i2-2-222i−2i0000000000000000000
χ494-4-4400−4i4i00−2i2i−2i2i00000000002-22i−2i-22-222i−2i0000000000000000000
χ504-4-4400−4i4i00−2i2i−2i2i00000000002-2−2i2i2-22-2−2i2i0000000000000000000
χ5188-8-8-8800000000000000000000000000000000000000000000000
χ528-88-80000004-4-44000000000000000000000000000000000000000
χ538-88-8000000-444-4000000000000000000000000000000000000000

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