Finite Group Databasebeta

← Group #502982

Character table — Group #502982

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122224444444444488888888888888816161616161616161616161616161616163232
order12222244222244444442222444444444444444444444444888844
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-11-1-1111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-111111-1-1-1-1-111-1111-1-1-1-1-1-1-1-1-1-111
χ4111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11-1-111111111-1-1
χ51111111111111-1-1-1-111-1-11111111-1-1-1-1-1-1-111-111-1111111-1-1-1-1-1-1
χ61111111111111-1-1-1-111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ71111111111111-1-1-1-111-1-1-1-1-1-1111-1-11111111111-1-1-1-1-1-1-11111-1-1
χ81111111111111-1-1-1-111-1-1-1-1-1-1111-1-111111-1-11-1-1-1-1-11111-1-1-1-111
χ9111111-1-11111-1111111-1-111-1-1-1-1-11111-1-1-11-111-1-11-111-1-111-1-11-1
χ10111111-1-11111-1111111-1-111-1-1-1-1-11111-1-1-1-111-11-11-1-1-111-1-111-11
χ11111111-1-11111-1111111-1-1-1-111-1-1-111-1-11111-1-11-1-1-11-1-111-1-1111-1
χ12111111-1-11111-1111111-1-1-1-111-1-1-111-1-1111-11-1-11-1-1111-1-111-1-1-11
χ13111111-1-11111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11111-1-11-111-111-1-1-1-111-11
χ14111111-1-11111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1111-11-1-1111-1-1-11111-1-11-1
χ15111111-1-11111-1-1-1-1-11111-1-111-1-1-1-1-111-1-1-11-111-11-11-1-11111-1-1-11
χ16111111-1-11111-1-1-1-1-11111-1-111-1-1-1-1-111-1-1-1-111-111-1111-1-1-1-1111-1
χ17222222222-2-2222222-2-2220000-22-2-2-20000000000-2000000000000
χ18222222222-2-222-2-2-2-2-2-2-2-20000-22-22200000000002000000000000
χ1922222222-222-220000-2-2002222-2-220000000000000-2-20000000000
χ2022222222-222-220000-2-200-2-2-2-2-2-220000000000000220000000000
χ2122222222-2-2-2-220000220000002-2-2002222-200-2000000000000000
χ2222222222-2-2-2-220000220000002-2-200-2-2-2-22002000000000000000
χ23222222-2-22-2-22-22222-2-2-2-200002-22-2-200000000002000000000000
χ24222222-2-22-2-22-2-2-2-2-2-2-22200002-22220000000000-2000000000000
χ25222222-2-2-222-2-20000-2-20022-2-222-20000000000000-220000000000
χ26222222-2-2-222-2-20000-2-200-2-22222-200000000000002-20000000000
χ27222222-2-2-2-2-2-2-2000022000000-2220022-2-2200-2000000000000000
χ28222222-2-2-2-2-2-2-2000022000000-22200-2-222-2002000000000000000
χ2922-2-22-200-22-2202i2i−2i−2i2-20000000002i−2i0000000000000002i−2i002-200
χ3022-2-22-200-22-2202i2i−2i−2i2-20000000002i−2i000000000000000−2i2i00-2200
χ3122-2-22-200-22-220−2i−2i2i2i2-2000000000−2i2i0000000000000002i−2i00-2200
χ3222-2-22-200-22-220−2i−2i2i2i2-2000000000−2i2i000000000000000−2i2i002-200
χ3322-2-22-200-2-22202i2i−2i−2i-22000000000−2i2i00000000000002i−2i002-20000
χ3422-2-22-200-2-22202i2i−2i−2i-22000000000−2i2i0000000000000−2i2i00-220000
χ3522-2-22-200-2-2220−2i−2i2i2i-220000000002i−2i00000000000002i−2i00-220000
χ3622-2-22-200-2-2220−2i−2i2i2i-220000000002i−2i0000000000000−2i2i002-20000
χ374444-4-4440000-400000000000000000000002-20-220000000000000
χ384444-4-4440000-40000000000000000000000-2202-20000000000000
χ394444-4-4-4-4000040000000000000000000000220-2-20000000000000
χ404444-4-4-4-4000040000000000000000000000-2-20220000000000000
χ4144-4-44-40044-4-400000-440000000000000000000000000000000000
χ4244-4-44-4004-44-4000004-40000000000000000000000000000000000
χ434-44-4004i−4i000002i−2i2i−2i002-22-22i−2i000002i−2i2-20000000000000000000
χ444-44-4004i−4i000002i−2i2i−2i002-2-22−2i2i00000−2i2i-220000000000000000000
χ454-44-4004i−4i00000−2i2i−2i2i00-222-22i−2i00000−2i2i-220000000000000000000
χ464-44-4004i−4i00000−2i2i−2i2i00-22-22−2i2i000002i−2i2-20000000000000000000
χ474-44-400−4i4i000002i−2i2i−2i00-222-2−2i2i000002i−2i-220000000000000000000
χ484-44-400−4i4i000002i−2i2i−2i00-22-222i−2i00000−2i2i2-20000000000000000000
χ494-44-400−4i4i00000−2i2i−2i2i002-22-2−2i2i00000−2i2i2-20000000000000000000
χ504-44-400−4i4i00000−2i2i−2i2i002-2-222i−2i000002i−2i-220000000000000000000
χ5188-8-8-8800000000000000000000000000000000000000000000000
χ528-8-880000000004-4-44000000000000000000000000000000000000
χ538-8-88000000000-444-4000000000000000000000000000000000000

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