Finite Group Databasebeta

← Group #503567

Character table — Group #503567

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122224444444444488888888888888816161616161616161616161616161616163232
order12222244222222224444444444444444442244444444444888844
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-111-1-1-1-11111-1-11-1-1-1-1-1-1-1-1-1-111
χ4111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-111111111-1-1
χ5111111111-1-1-1-111111111-1-111111-1-1-1-1-1-11111-1-1-1111111-1-1-1-1-1-1
χ6111111111-1-1-1-111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ7111111111-1-1-1-111111111-1-11-1-1-1-1-1-11111111111-1-1-1-1-1-1-11111-1-1
χ8111111111-1-1-1-111111111-1-11-1-1-1-1-1-11111-1-1-1-111-1-1-11111-1-1-1-111
χ9111111-1-111111111-111-1-1-1-1-111-1-11111-1-11-11-11-1-11-111-1-111-1-11-1
χ10111111-1-111111111-111-1-1-1-1-111-1-11111-1-1-11-111-1-11-1-1-111-1-111-11
χ11111111-1-111111111-111-1-1-1-1-1-1-11111-1-1111-11-1-11-1-11-1-111-1-1111-1
χ12111111-1-111111111-111-1-1-1-1-1-1-11111-1-111-11-11-11-1-1111-1-111-1-1-11
χ13111111-1-11-1-1-1-1111-111-1-111-111-1-1-1-1-1-1111-11-1-1111-111-1-1-1-111-11
χ14111111-1-11-1-1-1-1111-111-1-111-111-1-1-1-1-1-111-11-11-1111-1-1-11111-1-11-1
χ15111111-1-11-1-1-1-1111-111-1-111-1-1-111-1-111-1-11-11-11-11-11-1-11111-1-1-11
χ16111111-1-11-1-1-1-1111-111-1-111-1-1-111-1-111-1-1-11-111-11-1111-1-1-1-1111-1
χ172222222222222-2-222-2-22-222-20000-2-20000000000-2000000000000
χ18222222222-2-2-2-2-2-222-2-22-2-2-2-200002200000000002000000000000
χ1922222222-2000022-22-2-2-2200-222220000000000000-2-20000000000
χ2022222222-2000022-22-2-2-2200-2-2-2-2-20000000000000220000000000
χ2122222222-20000-2-2-2222-2-200200000022220000-2-20000000000000
χ2222222222-20000-2-2-2222-2-2002000000-2-2-2-20000220000000000000
χ23222222-2-222222-2-22-2-2-2-22-2-220000-2-200000000002000000000000
χ24222222-2-22-2-2-2-2-2-22-2-2-2-222220000220000000000-2000000000000
χ25222222-2-2-2000022-2-2-2-22-200222-2-20000000000000-220000000000
χ26222222-2-2-2000022-2-2-2-22-2002-2-22200000000000002-20000000000
χ27222222-2-2-20000-2-2-2-2222200-200000022-2-20000-220000000000000
χ28222222-2-2-20000-2-2-2-2222200-2000000-2-22200002-20000000000000
χ2922-2-22-200-222-2-22-2202-20000000002-20000000000000002i−2i002i−2i00
χ3022-2-22-200-222-2-22-2202-20000000002-2000000000000000−2i2i00−2i2i00
χ3122-2-22-200-222-2-2-2220-22000000000-2200000000000002i−2i002i−2i0000
χ3222-2-22-200-222-2-2-2220-22000000000-220000000000000−2i2i00−2i2i0000
χ3322-2-22-200-2-2-2222-2202-2000000000-220000000000000002i−2i00−2i2i00
χ3422-2-22-200-2-2-2222-2202-2000000000-22000000000000000−2i2i002i−2i00
χ3522-2-22-200-2-2-222-2220-220000000002-200000000000002i−2i00−2i2i0000
χ3622-2-22-200-2-2-222-2220-220000000002-20000000000000−2i2i002i−2i0000
χ374444-4-44400000000-40000000000000000022-2-2000000000000000
χ384444-4-44400000000-400000000000000000-2-222000000000000000
χ394444-4-4-4-4000000004000000000000000002-2-22000000000000000
χ404444-4-4-4-400000000400000000000000000-222-2000000000000000
χ4144-4-44-400400004-4-40-440000000000000000000000000000000000
χ4244-4-44-40040000-44-404-40000000000000000000000000000000000
χ434-44-4004-402-22-2000000002-202i−2i2i−2i002i−2i2i−2i0000000000000000000
χ444-44-4004-402-22-2000000002-20−2i2i−2i2i00−2i2i−2i2i0000000000000000000
χ454-44-4004-40-22-2200000000-2202i−2i2i−2i00−2i2i−2i2i0000000000000000000
χ464-44-4004-40-22-2200000000-220−2i2i−2i2i002i−2i2i−2i0000000000000000000
χ474-44-400-4402-22-200000000-2202i−2i−2i2i002i−2i−2i2i0000000000000000000
χ484-44-400-4402-22-200000000-220−2i2i2i−2i00−2i2i2i−2i0000000000000000000
χ494-44-400-440-22-22000000002-202i−2i−2i2i00−2i2i2i−2i0000000000000000000
χ504-44-400-440-22-22000000002-20−2i2i2i−2i002i−2i−2i2i0000000000000000000
χ5188-8-8-8800000000000000000000000000000000000000000000000
χ528-8-88000004-4-440000000000000000000000000000000000000000
χ538-8-8800000-444-40000000000000000000000000000000000000000

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