Finite Group Databasebeta

← Group #486588

Character table — Group #486588

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122224444444444488888888888888816161616161616161616161616161616163232
order12222244222244444442244444444444444444444448888888844
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-111-1-1-1-111-1-111111-1-1-1-1-1-1-1-1-1-111
χ41111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-11-1-111111111-1-1
χ5111111111111111-1-1-1-1-1-111111-1-1-1-1-1-111-1-11111-1111111-1-1-1-1-1-1
χ6111111111111111-1-1-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1111111
χ7111111111111111-1-1-1-1-1-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1-11111-1-1
χ8111111111111111-1-1-1-1-1-11-1-1-1-1-1-111111111-1-1-1-1-1-1-11111-1-1-1-111
χ9111111-1-11-1-11-1-1-11111-1-1-111-1-1-1-111-1-1111-111-1-111-111-1-111-1-11-1
χ10111111-1-11-1-11-1-1-11111-1-1-111-1-1-1-111-1-1111-1-1-11111-1-1-111-1-111-11
χ11111111-1-11-1-11-1-1-11111-1-1-1-1-111-1-1-1-11111-1111-1-11-11-1-111-1-1111-1
χ12111111-1-11-1-11-1-1-11111-1-1-1-1-111-1-1-1-11111-11-1-1111-1111-1-111-1-1-11
χ13111111-1-11-1-11-1-1-1-1-1-1-111-111-1-111-1-11111-1111-1-1-11-111-1-1-1-111-11
χ14111111-1-11-1-11-1-1-1-1-1-1-111-111-1-111-1-11111-11-1-111-11-1-1-11111-1-11-1
χ15111111-1-11-1-11-1-1-1-1-1-1-111-1-1-1111111-1-1111-111-1-1-1-11-1-11111-1-1-11
χ16111111-1-11-1-11-1-1-1-1-1-1-111-1-1-1111111-1-1111-1-1-111-1-1111-1-1-1-1111-1
χ17222222222-2-22-2-2222222220000-2-20000-2-2000000-2000000000000
χ18222222222-2-22-2-22-2-2-2-2-2-220000220000-2-20000002000000000000
χ1922222222-222-2-2-22000000-222220000002-20000000-2-20000000000
χ2022222222-222-2-2-22000000-2-2-2-2-20000002-20000000220000000000
χ2122222222-2-2-2-2222000000-20000002222-22-2-200000000000000000
χ2222222222-2-2-2-2222000000-2000000-2-2-2-2-222200000000000000000
χ23222222-2-2222222-22222-2-2-20000220000-2-2000000-2000000000000
χ24222222-2-2222222-2-2-2-2-222-20000-2-20000-2-20000002000000000000
χ25222222-2-2-222-2-2-2-2000000200000022-2-2-22-2200000000000000000
χ26222222-2-2-222-2-2-2-20000002000000-2-222-222-200000000000000000
χ27222222-2-2-2-2-2-222-2000000222-2-20000002-20000000-220000000000
χ28222222-2-2-2-2-2-222-20000002-2-2220000002-200000002-20000000000
χ2922-2-22-200-22-222-202i2i−2i−2i00000002i−2i0000000000000002−22−2i2−i2i2−i200
χ3022-2-22-200-22-222-202i2i−2i−2i00000002i−2i000000000000000−22−22−i2i2−i2i200
χ3122-2-22-200-22-222-20−2i−2i2i2i0000000−2i2i0000000000000002−22−2−i2i2−i2i200
χ3222-2-22-200-22-222-20−2i−2i2i2i0000000−2i2i000000000000000−22−22i2−i2i2−i200
χ3322-2-22-200-2-222-2202i2i−2i−2i0000000−2i2i0000000000000002−2−22i2−i2−i2i200
χ3422-2-22-200-2-222-2202i2i−2i−2i0000000−2i2i000000000000000−222−2−i2i2i2−i200
χ3522-2-22-200-2-222-220−2i−2i2i2i00000002i−2i0000000000000002−2−22−i2i2i2−i200
χ3622-2-22-200-2-222-220−2i−2i2i2i00000002i−2i000000000000000−222−2i2−i2−i2i200
χ374444-4-444000000-40000000000000000000002-22-20000000000000
χ384444-4-444000000-4000000000000000000000-22-220000000000000
χ394444-4-4-4-400000040000000000000000000002-2-220000000000000
χ404444-4-4-4-40000004000000000000000000000-222-20000000000000
χ4144-4-44-40044-4-4-44000000000000000000000000000000000000000
χ4244-4-44-4004-44-44-4000000000000000000000000000000000000000
χ434-44-4004-400000002-22-22-202i−2i2i−2i002i−2i2i−2i000000000000000000000
χ444-44-4004-400000002-22-22-20−2i2i−2i2i00−2i2i−2i2i000000000000000000000
χ454-44-4004-40000000-22-22-2202i−2i2i−2i00−2i2i−2i2i000000000000000000000
χ464-44-4004-40000000-22-22-220−2i2i−2i2i002i−2i2i−2i000000000000000000000
χ474-44-400-4400000002-22-2-2202i−2i−2i2i002i−2i−2i2i000000000000000000000
χ484-44-400-4400000002-22-2-220−2i2i2i−2i00−2i2i2i−2i000000000000000000000
χ494-44-400-440000000-22-222-202i−2i−2i2i00−2i2i2i−2i000000000000000000000
χ504-44-400-440000000-22-222-20−2i2i2i−2i002i−2i−2i2i000000000000000000000
χ5188-8-8-8800000000000000000000000000000000000000000000000
χ528-8-88000000000004i−4i−4i4i0000000000000000000000000000000000
χ538-8-8800000000000−4i4i4i−4i0000000000000000000000000000000000

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