Finite Group Databasebeta

← Group #301893

Character table — Group #301893

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122222222444444444448888888816161616161616161616161616161616161616163232
order12222222224444444448888248888882222224444444444888844
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ31111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ51111111111111111111-1-1-1-111-1-1-1-1-1-111-1-11-111-1-11-11111-1-1-1-11-1
χ61111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-11-1-111-11-1-1-1-111111-1
χ71111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111-111-1-11-1-1-1-1-11111-11
χ81111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-11-1-111-111111-1-1-1-1-11
χ9111111111111-1-11-1-1111111-1-1-1-111-1-111111-11-11-1-1111-1-111-1-1-1-1
χ10111111111111-1-11-1-1111111-1-1-1-111-1-11111-11-11-111-1-1-111-1-111-1-1
χ11111111111111-1-11-1-1111111-1-1-1-111-1-1-1-1-1-11-11-11-1-11-1-111-1-11111
χ12111111111111-1-11-1-1111111-1-1-1-111-1-1-1-1-1-1-11-11-111-111-1-111-1-111
χ13111111111111-1-11-1-111-1-1-1-1-1-111-1-11111-1-1111-1-11-1-111-1-1-1-111-11
χ14111111111111-1-11-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-111-111-1-11111-1-1-11
χ15111111111111-1-11-1-111-1-1-1-1-1-111-1-111-1-111111-1-11-1-1-1-11111-1-11-1
χ16111111111111-1-11-1-111-1-1-1-1-1-111-1-111-1-111-1-1-111-11111-1-1-1-1111-1
χ172222222222-2-222-222-2-20000-2-20000000000000000002-22-2000000
χ182222222222-2-222-222-2-20000-2-2000000000000000000-22-22000000
χ192222222222-2-2-2-2-2-2-2-2-20000220000000000000000002-2-22000000
χ202222222222-2-2-2-2-2-2-2-2-2000022000000000000000000-222-2000000
χ2122222-2-2-2-2222222-2-2-2-22222-2222-2-2-2-20000000000000000000000
χ2222222-2-2-2-2222222-2-2-2-2-2-2-2-2-22-2-222220000000000000000000000
χ2322222-2-2-2-2222-2-2222-2-222222-2-2-2-2-2220000000000000000000000
χ2422222-2-2-2-2222-2-2222-2-2-2-2-2-22-22222-2-20000000000000000000000
χ2522222-2-2-2-22-2-222-2-2-22200002-200000000000000000000002-22-200
χ2622222-2-2-2-22-2-222-2-2-22200002-20000000000000000000000-22-2200
χ2722222-2-2-2-22-2-2-2-2-222220000-2200000000000000000000002-2-2200
χ2822222-2-2-2-22-2-2-2-2-222220000-220000000000000000000000-222-200
χ292222-222-2-2-22200-2002-222-2-200002-200000002020-2-200000000000
χ302222-222-2-2-22200-2002-222-2-200002-20000000-20-202200000000000
χ312222-222-2-2-22200-2002-2-2-2220000-22000000020-20-2200000000000
χ322222-222-2-2-22200-2002-2-2-2220000-220000000-20202-200000000000
χ332222-2-2-222-22200-200-2222-2-20000-2200000020-20200-20000000000
χ342222-2-2-222-22200-200-2222-2-20000-22000000-2020-20020000000000
χ352222-2-2-222-22200-200-22-2-22200002-200000020-20-20020000000000
χ362222-2-2-222-22200-200-22-2-22200002-2000000-2020200-20000000000
χ374444-444-4-4-4-4-400400-440000000000000000000000000000000000
χ384444-4-4-444-4-4-4004004-40000000000000000000000000000000000
χ3944-4-444-44-4-4004i−4i04i−4i000000000000000000000000000000000000
χ4044-4-444-44-4-400−4i4i0−4i4i000000000000000000000000000000000000
χ4144-4-44-44-44-4004i−4i0−4i4i000000000000000000000000000000000000
χ4244-4-44-44-44-400−4i4i04i−4i000000000000000000000000000000000000
χ4344-4-4-44-4-44400000000000000022−220022−220000000000000000000000
χ4444-4-4-44-4-444000000000000000−222200−22220000000000000000000000
χ4544-4-4-4-444-4400000000000000022−2200−22220000000000000000000000
χ4644-4-4-4-444-44000000000000000−22220022−220000000000000000000000
χ474-4-44000000-440000000004-4000000002-22-2000000000000000000
χ484-4-44000000-440000000004-400000000-22-22000000000000000000
χ494-4-44000000-44000000000-44000000002-2-22000000000000000000
χ504-4-44000000-44000000000-4400000000-222-2000000000000000000
χ518-88-800000000000000042−4200000000000000000000000000000000
χ528-88-8000000000000000−424200000000000000000000000000000000
χ538-8-880000008-800000000000000000000000000000000000000000

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