Finite Group Databasebeta

← Group #486175

Character table — Group #486175

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122224444444444488888888888888816161616161616161616161616161616163232
order12222244444444444442222244444444442444444448888888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ411111111111111111111-1-1-1-111-1-1-1-11111-1-11-1-1-1-1-1-111111111-1-1
χ51111111111111-1-1-1-111111-1-1-1-111-1-1-1-11111-1111-11-11111-1-1-1-1-1-1
χ61111111111111-1-1-1-111111-1-1-1-111-1-1-1-111-1-1-1-1-11-11-1-1-1-1-1111111
χ71111111111111-1-1-1-1111-1-111-1-1-1-111-1-11111-111-11-11-1-1-1-11111-1-1
χ81111111111111-1-1-1-1111-1-111-1-1-1-111-1-111-1-1-1-1-1-11-111111-1-1-1-111
χ9111111-1-1-1-1-1-1-1111111-11111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-111-1-11-1
χ10111111-1-1-1-1-1-1-1111111-11111-1-1-1-1-1-1-1-111-1-1111-1-111-1-111-1-111-11
χ11111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11111-1-111111-1-111-1-1-1-111-1-1111-1
χ12111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11111-1-111-1-111111-1-111-1-111-1-1-11
χ13111111-1-1-1-1-1-1-1-1-1-1-111-111-1-111-1-111111111-1-1-1-111-111-1-1-1-111-11
χ14111111-1-1-1-1-1-1-1-1-1-1-111-111-1-111-1-1111111-1-1-111-111-1-1-11111-1-11-1
χ15111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111-1-1111111-1-1-11-1-11-1-11111-1-1-11
χ16111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111-1-11111-1-1-1111-1-1111-1-1-1-1111-1
χ1722222222222-2-20000-2-2-20022000022002-2000000-20-20000000000
χ1822222222222-2-20000-2-2-200-2-20000-2-2002-20000002020000000000
χ19222222222-2-2220000-2-2-2220000220000-2200000-20-200000000000
χ20222222222-2-2220000-2-2-2-2-20000-2-20000-220000020200000000000
χ21222222222-2-2-2-222222220000-2-2000022-2-200-20000000000000000
χ22222222222-2-2-2-2-2-2-2-22220000220000-2-2-2-20020000000000000000
χ23222222-2-2-22222222222-20000220000-2-2-2-200-20000000000000000
χ24222222-2-2-22222-2-2-2-222-20000-2-2000022-2-20020000000000000000
χ25222222-2-2-222-2-20000-2-22220000-2-20000-220000020-200000000000
χ26222222-2-2-222-2-20000-2-22-2-20000220000-2200000-20200000000000
χ27222222-2-2-2-2-2220000-2-2200220000-2-2002-200000020-20000000000
χ28222222-2-2-2-2-2220000-2-2200-2-2000022002-2000000-2020000000000
χ2922-2-2-220002i−2i2i−2i22-2-22-2000002i−2i000000000000000002−2i2−i22−2i2−i200
χ3022-2-2-220002i−2i2i−2i22-2-22-2000002i−2i00000000000000000−22−i2i2−22−i2i200
χ3122-2-2-220002i−2i2i−2i-2-2222-200000−2i2i000000000000000002−2i2−i2−22−i2i200
χ3222-2-2-220002i−2i2i−2i-2-2222-200000−2i2i00000000000000000−22−i2i22−2i2−i200
χ3322-2-2-22000−2i2i−2i2i22-2-22-200000−2i2i000000000000000002−2−i2i22−2−i2i200
χ3422-2-2-22000−2i2i−2i2i22-2-22-200000−2i2i00000000000000000−22i2−i2−22i2−i200
χ3522-2-2-22000−2i2i−2i2i-2-2222-2000002i−2i000000000000000002−2−i2i2−22i2−i200
χ3622-2-2-22000−2i2i−2i2i-2-2222-2000002i−2i00000000000000000−22i2−i22−2−i2i200
χ374444-4-444-400000000000000000000000002-20-2200000000000000
χ384444-4-444-40000000000000000000000000-2202-200000000000000
χ394444-4-4-4-4400000000000000000000000002-202-200000000000000
χ404444-4-4-4-440000000000000000000000000-220-2200000000000000
χ4144-4-4-440004i−4i−4i4i0000-440000000000000000000000000000000000
χ4244-4-4-44000−4i4i4i−4i0000-440000000000000000000000000000000000
χ434-44-4004i−4i000002-22-20002-22-2002i−2i2i−2i2i−2i000000000000000000000
χ444-44-4004i−4i000002-22-2000-22-2200−2i2i−2i2i2i−2i000000000000000000000
χ454-44-4004i−4i00000-22-220002-2-22002i−2i−2i2i−2i2i000000000000000000000
χ464-44-4004i−4i00000-22-22000-222-200−2i2i2i−2i−2i2i000000000000000000000
χ474-44-400−4i4i000002-22-20002-22-200−2i2i−2i2i−2i2i000000000000000000000
χ484-44-400−4i4i000002-22-2000-22-22002i−2i2i−2i−2i2i000000000000000000000
χ494-44-400−4i4i00000-22-220002-2-2200−2i2i2i−2i2i−2i000000000000000000000
χ504-44-400−4i4i00000-22-22000-222-2002i−2i−2i2i2i−2i000000000000000000000
χ5188-8-88-800000000000000000000000000000000000000000000000
χ528-8-880000000004-4-44000000000000000000000000000000000000
χ538-8-88000000000-444-4000000000000000000000000000000000000

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