Finite Group Databasebeta

← Group #486193

Character table — Group #486193

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122224444444444488888888888888816161616161616161616161616161616163232
order12222244444444444442444444444444442224444448888888888
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1111-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-111-1-1-1-111-1-11111-1-11-1-1-1-1-1-1-1-111
χ41111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-11-1-1-111111111-1-1
χ51111111111111-1-1-1-1111-1-111-1-1-1-111-1-1111-1111-11-111111-1-1-1-1-1-1
χ61111111111111-1-1-1-1111-1-111-1-1-1-111-1-1111-1-1-1-1-11-1-1-1-1-1-1111111
χ71111111111111-1-1-1-1111-1-1-1-111-1-1-1-11111-11111-1-111-1-1-1-11111-1-1
χ81111111111111-1-1-1-1111-1-1-1-111-1-1-1-11111-11-1-1-1-1-11-11111-1-1-1-111
χ9111111-1-1-1-1-1-1-1111111-1-1-11111-1-1-1-1-1-111-1-111-1111-111-1-111-1-11-1
χ10111111-1-1-1-1-1-1-1111111-1-1-11111-1-1-1-1-1-111-1-1-1-111111-1-111-1-111-11
χ11111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11111111111-11-1-1-1-1-111-1-1111-1
χ12111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111111111-1-111-1-1111-1-111-1-1-11
χ13111111-1-1-1-1-1-1-1-1-1-1-111-11111-1-111-1-11111-1111-1-11-1-111-1-1-1-111-11
χ14111111-1-1-1-1-1-1-1-1-1-1-111-11111-1-111-1-11111-11-1-11-11-11-1-11111-1-11-1
χ15111111-1-1-1-1-1-1-1-1-1-1-111-111-1-1111111-1-1111-111-1-1-11-1-1-11111-1-1-11
χ16111111-1-1-1-1-1-1-1-1-1-1-111-111-1-1111111-1-1111-1-1-11-1-11111-1-1-1-1111-1
χ1722222222222-2-20000-2-2-20000220000222-20-200000-200000000000
χ1822222222222-2-20000-2-2-20000-2-20000-2-22-20200000200000000000
χ19222222222-2-2220000-2-2-2002200002200-22-200000-2000000000000
χ20222222222-2-2220000-2-2-200-2-20000-2-200-222000002000000000000
χ21222222222-2-2-2-22222222-2-20000220000-2-200000-20000000000000
χ22222222222-2-2-2-2-2-2-2-2222220000-2-20000-2-20000020000000000000
χ23222222-2-2-22222222222-2220000-2-20000-2-200000-20000000000000
χ24222222-2-2-22222-2-2-2-222-2-2-20000220000-2-20000020000000000000
χ25222222-2-2-222-2-20000-2-2200220000-2-200-22200000-2000000000000
χ26222222-2-2-222-2-20000-2-2200-2-200002200-22-2000002000000000000
χ27222222-2-2-2-2-2220000-2-220000220000-2-22-20200000-200000000000
χ28222222-2-2-2-2-2220000-2-220000-2-20000222-20-200000200000000000
χ2922-2-2-220002i−2i2i−2i22-2-22-202i−2i000000000000000000000i2−i22−2i2−i22−200
χ3022-2-2-220002i−2i2i−2i22-2-22-202i−2i000000000000000000000−i2i2−22−i2i2−2200
χ3122-2-2-220002i−2i2i−2i-2-2222-20−2i2i000000000000000000000i2−i22−2−i2i2−2200
χ3222-2-2-220002i−2i2i−2i-2-2222-20−2i2i000000000000000000000−i2i2−22i2−i22−200
χ3322-2-2-22000−2i2i−2i2i22-2-22-20−2i2i000000000000000000000i2−i2−22i2−i2−2200
χ3422-2-2-22000−2i2i−2i2i22-2-22-20−2i2i000000000000000000000−i2i22−2−i2i22−200
χ3522-2-2-22000−2i2i−2i2i-2-2222-202i−2i000000000000000000000i2−i2−22−i2i22−200
χ3622-2-2-22000−2i2i−2i2i-2-2222-202i−2i000000000000000000000−i2i22−2i2−i2−2200
χ374444-4-444-40000000000000000000000000002-2-200020000000000
χ384444-4-444-4000000000000000000000000000-222000-20000000000
χ394444-4-4-4-440000000000000000000000000002-22000-20000000000
χ404444-4-4-4-44000000000000000000000000000-22-200020000000000
χ4144-4-4-440004i−4i−4i4i0000-440000000000000000000000000000000000
χ4244-4-4-44000−4i4i4i−4i0000-440000000000000000000000000000000000
χ434-44-4004i−4i000002-22-2000002-22-22i−2i2i−2i2i−2i000000000000000000000
χ444-44-4004i−4i000002-22-200000-22-222i−2i−2i2i−2i2i000000000000000000000
χ454-44-4004i−4i00000-22-22000002-2-22−2i2i2i−2i−2i2i000000000000000000000
χ464-44-4004i−4i00000-22-2200000-222-2−2i2i−2i2i2i−2i000000000000000000000
χ474-44-400−4i4i000002-22-2000002-22-2−2i2i−2i2i−2i2i000000000000000000000
χ484-44-400−4i4i000002-22-200000-22-22−2i2i2i−2i2i−2i000000000000000000000
χ494-44-400−4i4i00000-22-22000002-2-222i−2i−2i2i2i−2i000000000000000000000
χ504-44-400−4i4i00000-22-2200000-222-22i−2i2i−2i−2i2i000000000000000000000
χ5188-8-88-800000000000000000000000000000000000000000000000
χ528-8-880000000004-4-44000000000000000000000000000000000000
χ538-8-88000000000-444-4000000000000000000000000000000000000

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