Finite Group Databasebeta

← Group #486576

Character table — Group #486576

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122224444444444488888888888888816161616161616161616161616161616163232
order12222244222244444442222444444444444444444448888888844
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-11-1-1111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-1111-1-1-1-111-111-1111-1-1-1-1-1-1-1-1-1-111
χ4111111111111111111111-1-1-1-1111-1-1-1-111-1-1-1-1-1-11-1-111111111-1-1
χ5111111111111111-1-1-1-1-1-111111-1-1-1-1-1-111-111-111-1111111-1-1-1-1-1-1
χ6111111111111111-1-1-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1111111
χ7111111111111111-1-1-1-1-1-1-1-1-1-11-1-1111111111111-1-1-1-1-1-1-11111-1-1
χ8111111111111111-1-1-1-1-1-1-1-1-1-11-1-11111111-1-11-1-1-1-1-11111-1-1-1-111
χ9111111-1-11-1-11-1-1-11111-1-111-1-1-1-1-111-1-111-11-111-111-111-1-111-1-11-1
χ10111111-1-11-1-11-1-1-11111-1-111-1-1-1-1-111-1-111-1-111-1111-1-1-111-1-111-11
χ11111111-1-11-1-11-1-1-11111-1-1-1-111-1-1-1-1-1111111-1-11-11-11-1-111-1-1111-1
χ12111111-1-11-1-11-1-1-11111-1-1-1-111-1-1-1-1-111111-11-1-111-1111-1-111-1-1-11
χ13111111-1-11-1-11-1-1-1-1-1-1-11111-1-1-111-1-1111111-1-11-1-11-111-1-1-1-111-11
χ14111111-1-11-1-11-1-1-1-1-1-1-11111-1-1-111-1-111111-11-1-11-11-1-1-11111-1-11-1
χ15111111-1-11-1-11-1-1-1-1-1-1-111-1-111-11111-1-111-11-111-1-1-11-1-11111-1-1-11
χ16111111-1-11-1-11-1-1-1-1-1-1-111-1-111-11111-1-111-1-111-11-1-1111-1-1-1-1111-1
χ17222222222-2-22-2-2222222200002-2-20000-2-2000000-2000000000000
χ18222222222-2-22-2-22-2-2-2-2-2-200002220000-2-20000002000000000000
χ1922222222-222-2-2-220000000000-2002222-22-200-2000000000000000
χ2022222222-222-2-2-220000000000-200-2-2-2-2-222002000000000000000
χ2122222222-2-2-2-22220000002222-20000002-20000000-2-20000000000
χ2222222222-2-2-2-2222000000-2-2-2-2-20000002-20000000220000000000
χ23222222-2-2222222-22222-2-20000-2220000-2-2000000-2000000000000
χ24222222-2-2222222-2-2-2-2-2220000-2-2-20000-2-20000002000000000000
χ25222222-2-2-222-2-2-2-200000022-2-220000002-20000000-220000000000
χ26222222-2-2-222-2-2-2-2000000-2-22220000002-200000002-20000000000
χ27222222-2-2-2-2-2-222-2000000000020022-2-2-22200-2000000000000000
χ28222222-2-2-2-2-2-222-20000000000200-2-222-22-2002000000000000000
χ2922-2-22-200-22-222-202i2i−2i−2i00000002i−2i000000000000000i2−i2i2−i22−22−200
χ3022-2-22-200-22-222-202i2i−2i−2i00000002i−2i000000000000000−i2i2−i2i2−22−2200
χ3122-2-22-200-22-222-20−2i−2i2i2i0000000−2i2i000000000000000i2−i2i2−i2−22−2200
χ3222-2-22-200-22-222-20−2i−2i2i2i0000000−2i2i000000000000000−i2i2−i2i22−22−200
χ3322-2-22-200-2-222-2202i2i−2i−2i0000000−2i2i000000000000000i2−i2−i2i22−2−2200
χ3422-2-22-200-2-222-2202i2i−2i−2i0000000−2i2i000000000000000−i2i2i2−i2−222−200
χ3522-2-22-200-2-222-220−2i−2i2i2i00000002i−2i000000000000000i2−i2−i2i2−222−200
χ3622-2-22-200-2-222-220−2i−2i2i2i00000002i−2i000000000000000−i2i2i2−i22−2−2200
χ374444-4-444000000-4000000000000000000002-20-220000000000000
χ384444-4-444000000-400000000000000000000-2202-20000000000000
χ394444-4-4-4-4000000400000000000000000000220-2-20000000000000
χ404444-4-4-4-4000000400000000000000000000-2-20220000000000000
χ4144-4-44-40044-4-4-44000000000000000000000000000000000000000
χ4244-4-44-4004-44-44-4000000000000000000000000000000000000000
χ434-44-4004i−4i00000002i−2i2i−2i2-22-22i−2i0002i−2i2-2000000000000000000000
χ444-44-4004i−4i00000002i−2i2i−2i2-2-22−2i2i000−2i2i-22000000000000000000000
χ454-44-4004i−4i0000000−2i2i−2i2i-222-22i−2i000−2i2i-22000000000000000000000
χ464-44-4004i−4i0000000−2i2i−2i2i-22-22−2i2i0002i−2i2-2000000000000000000000
χ474-44-400−4i4i00000002i−2i2i−2i-222-2−2i2i0002i−2i-22000000000000000000000
χ484-44-400−4i4i00000002i−2i2i−2i-22-222i−2i000−2i2i2-2000000000000000000000
χ494-44-400−4i4i0000000−2i2i−2i2i2-22-2−2i2i000−2i2i2-2000000000000000000000
χ504-44-400−4i4i0000000−2i2i−2i2i2-2-222i−2i0002i−2i-22000000000000000000000
χ5188-8-8-8800000000000000000000000000000000000000000000000
χ528-8-88000000000004-4-440000000000000000000000000000000000
χ538-8-8800000000000-444-40000000000000000000000000000000000

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