Finite Group Databasebeta

← Group #486198

Character table — Group #486198

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122224444444444488888888888888816161616161616161616161616161616163232
order12222244224444444442244444444444442244444448888888844
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-11-1111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1111-1-1-1-111-1-111-1111-11-11-1-1-1-1-1-1-1-1-111
χ41111111111111111111-1-1111-1-1-1-111-1-111-1-1-1-1-1-1-11-111111111-1-1
χ5111111111111111-1-1-1-1111-1-111-1-1-1-1-1-111-1111-111-111111-1-1-1-1-1-1
χ6111111111111111-1-1-1-1111-1-111-1-1-1-1-1-111-1-1-1-1-1-11-11-1-1-1-1111111
χ7111111111111111-1-1-1-1-1-11-1-1-1-111-1-11111111111-1-1-1-1-1-1-11111-1-1
χ8111111111111111-1-1-1-1-1-11-1-1-1-111-1-111111-1-1-11-1-1-1-11111-1-1-1-111
χ9111111-1-111-1-1-1-1-1111111-1-1-1-1-111-1-1-1-111-111-11-1-11111-1-111-1-11-1
χ10111111-1-111-1-1-1-1-1111111-1-1-1-1-111-1-1-1-111-1-1-1111-111-1-111-1-111-11
χ11111111-1-111-1-1-1-1-11111-1-1-1-1-111-1-1-1-11111111-1-1-111-1-1-111-1-1111-1
χ12111111-1-111-1-1-1-1-11111-1-1-1-1-111-1-1-1-111111-1-11-1111-111-1-111-1-1-11
χ13111111-1-111-1-1-1-1-1-1-1-1-111-111-1-1-1-1111111111-1-1-1-1-1111-1-1-1-111-11
χ14111111-1-111-1-1-1-1-1-1-1-1-111-111-1-1-1-11111111-1-11-11-1-11-1-11111-1-11-1
χ15111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-111-11-11-1-1-1-11111-1-1-11
χ16111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-11111-1-111-1-1-1-1111-1
χ1722222222222-2-2-2-22222002220000-2-200-2-20000000-200000000000
χ1822222222222-2-2-2-2-2-2-2-2002-2-200002200-2-20000000200000000000
χ1922222222-2-2222-2-2000000-20000220022-22-2000-200000000000000
χ2022222222-2-2222-2-2000000-20000-2-200-2-2-222000200000000000000
χ2122222222-2-22-2-222000022-200220000002-2000000-20-20000000000
χ2222222222-2-22-2-2220000-2-2-200-2-20000002-20000002020000000000
χ23222222-2-222-22222222200-2-2-200002200-2-20000000-200000000000
χ24222222-2-222-22222-2-2-2-200-2220000-2-200-2-20000000200000000000
χ25222222-2-2-2-2-222-2-2000022200-2-20000002-200000020-20000000000
χ26222222-2-2-2-2-222-2-20000-2-2200220000002-2000000-2020000000000
χ27222222-2-2-2-2-2-2-222000000200002200-2-2-222000-200000000000000
χ28222222-2-2-2-2-2-2-22200000020000-2-20022-22-2000200000000000000
χ2922-2-2-22002-202i−2i2i−2i2i2i−2i−2i0000000002-200000000000002−2i2−i2i2−i22−200
χ3022-2-2-22002-202i−2i2i−2i2i2i−2i−2i0000000002-20000000000000−22−i2i2−i2i2−2200
χ3122-2-2-22002-202i−2i2i−2i−2i−2i2i2i000000000-2200000000000002−2i2−i2−i2i2−2200
χ3222-2-2-22002-202i−2i2i−2i−2i−2i2i2i000000000-220000000000000−22−i2i2i2−i22−200
χ3322-2-2-22002-20−2i2i−2i2i2i2i−2i−2i000000000-2200000000000002−2−i2i2i2−i2−2200
χ3422-2-2-22002-20−2i2i−2i2i2i2i−2i−2i000000000-220000000000000−22i2−i2−i2i22−200
χ3522-2-2-22002-20−2i2i−2i2i−2i−2i2i2i0000000002-200000000000002−2−i2i2−i2i22−200
χ3622-2-2-22002-20−2i2i−2i2i−2i−2i2i2i0000000002-20000000000000−22i2−i2i2−i2−2200
χ374444-4-44400-40000000000000000000000002-2-2020000000000000
χ384444-4-44400-4000000000000000000000000-2220-20000000000000
χ394444-4-4-4-40040000000000000000000000002-220-20000000000000
χ404444-4-4-4-4004000000000000000000000000-22-2020000000000000
χ4144-4-4-4400-4404i−4i−4i4i00000000000000000000000000000000000000
χ4244-4-4-4400-440−4i4i4i−4i00000000000000000000000000000000000000
χ434-44-4004i−4i00000002i−2i2i−2i2-202-22i−2i2i−2i002-2000000000000000000000
χ444-44-4004i−4i00000002i−2i2i−2i-2202-2−2i2i−2i2i00-22000000000000000000000
χ454-44-4004i−4i0000000−2i2i−2i2i2-20-222i−2i−2i2i00-22000000000000000000000
χ464-44-4004i−4i0000000−2i2i−2i2i-220-22−2i2i2i−2i002-2000000000000000000000
χ474-44-400−4i4i00000002i−2i2i−2i2-20-22−2i2i2i−2i00-22000000000000000000000
χ484-44-400−4i4i00000002i−2i2i−2i-220-222i−2i−2i2i002-2000000000000000000000
χ494-44-400−4i4i0000000−2i2i−2i2i2-202-2−2i2i−2i2i002-2000000000000000000000
χ504-44-400−4i4i0000000−2i2i−2i2i-2202-22i−2i2i−2i00-22000000000000000000000
χ5188-8-88-800000000000000000000000000000000000000000000000
χ528-8-88000000000004-4-440000000000000000000000000000000000
χ538-8-8800000000000-444-40000000000000000000000000000000000

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