Finite Group Databasebeta

← Group #486754

Character table — Group #486754

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122224444444444444444488888816161616161616161616161616161616161616163232
order1222224444444444488888888448888222222444444161616161616161644
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111
χ41111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ51111111111111-1-1-1-111111111-1-1-1-1-1-111-1-1111111-1-11111-1-1-1-1-1-1
χ61111111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1111111
χ71111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1
χ81111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111
χ9111111111-1-1-1-111-1-1-1-1-1-111111-111-1-11-11-111-1-11-11-111-1-111-1-11-1
χ10111111111-1-1-1-111-1-1-1-1-1-111111-111-1-11-11-1-1-1111-11-1-1-111-1-111-11
χ11111111111-1-1-1-111-1-1-1-1-1-111111-111-1-1-11-1111-1-1-11-11-1-111-1-1111-1
χ12111111111-1-1-1-111-1-1-1-1-1-111111-111-1-1-11-11-1-111-11-1111-1-111-1-1-11
χ13111111111-1-1-1-1-1-111-1-1-1-11111-11-1-1111-1-1111-1-11-1-1111-1-1-1-111-11
χ14111111111-1-1-1-1-1-111-1-1-1-11111-11-1-1111-1-11-1-1111-1-11-1-11111-1-11-1
χ15111111111-1-1-1-1-1-111-1-1-1-11111-11-1-111-111-111-1-1-111-1-1-11111-1-1-11
χ16111111111-1-1-1-1-1-111-1-1-1-11111-11-1-111-111-1-1-111-111-111-1-1-1-1111-1
χ1722222222222222222-2-2-2-2-2-2-2-222-2-2-2-20000000000000000000000
χ182222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222220000000000000000000000
χ19222222222-2-2-2-222-2-22222-2-2-2-22-2-2-2220000000000000000000000
χ20222222222-2-2-2-2-2-2222222-2-2-2-2-2222-2-20000000000000000000000
χ21222222-2-2-222-2-222-2-200000000-2200000000000000002−22−22−22−200
χ22222222-2-2-222-2-222-2-200000000-220000000000000000−22−22−22−2200
χ23222222-2-2-222-2-2-2-222000000002-200000000000000002−22−2−22−2200
χ24222222-2-2-222-2-2-2-222000000002-20000000000000000−22−222−22−200
χ25222222-2-2-2-2-222222200000000-2-200000000000000002−2−222−2−2200
χ26222222-2-2-2-2-222222200000000-2-20000000000000000−222−2−222−200
χ27222222-2-2-2-2-222-2-2-2-2000000002200000000000000002−2−22−222−200
χ28222222-2-2-2-2-222-2-2-2-200000000220000000000000000−222−22−2−2200
χ292222-2-222-22-22-2000022-2-222-2-20000000022000000-2-20000000000
χ302222-2-222-22-22-2000022-2-222-2-200000000-2-2000000220000000000
χ312222-2-222-22-22-20000-2-222-2-2220000002-2000000-22000000000000
χ322222-2-222-22-22-20000-2-222-2-222000000-220000002-2000000000000
χ332222-2-222-2-22-22000022-2-2-2-22200000022000000-2-2000000000000
χ342222-2-222-2-22-22000022-2-2-2-222000000-2-200000022000000000000
χ352222-2-222-2-22-220000-2-22222-2-2000000002-2000000-220000000000
χ362222-2-222-2-22-220000-2-22222-2-200000000-220000002-20000000000
χ374444-4-4-4-444-4-440000000000000000000000000000000000000000
χ384444-4-4-4-44-444-40000000000000000000000000000000000000000
χ3944-4-400-44000000000004i−4i000000000000002-22i−2i00000000000000
χ4044-4-400-44000000000004i−4i00000000000000-22−2i2i00000000000000
χ4144-4-400-4400000000000−4i4i000000000000002-2−2i2i00000000000000
χ4244-4-400-4400000000000−4i4i00000000000000-222i−2i00000000000000
χ434-4-444-40000000004-4000022−2222−22000022−220000000000000000000000
χ444-4-444-40000000004-40000−2222−22220000−22220000000000000000000000
χ454-4-444-4000000000-44000022−2222−220000−22220000000000000000000000
χ464-4-444-4000000000-440000−2222−2222000022−220000000000000000000000
χ474-4-44-4400000004-400000022−22−22220022−22000000000000000000000000
χ484-4-44-4400000004-4000000−222222−2200−2222000000000000000000000000
χ494-4-44-440000000-4400000022−22−222200−2222000000000000000000000000
χ504-4-44-440000000-44000000−222222−220022−22000000000000000000000000
χ5188-8-8008-8000000000000000000000000000000000000000000000
χ528-88-8000000000000042−420000000000000000000000000000000000
χ538-88-80000000000000−42420000000000000000000000000000000000

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