Finite Group Databasebeta

← Group #301901

Character table — Group #301901

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122222222444444444448888888816161616161616161616161616161616161616163232
order12222222224444444448888248888882244444444444444888844
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ41111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ51111111111111111111-1-1-1-111-1-1-1-1-1-11-11-11-11-111-1-11111-1-1-1-11-1
χ61111111111111111111-1-1-1-111-1-1-1-1-1-11-11-11-11-1-1-111-1-1-1-11111-11
χ71111111111111111111-1-1-1-111-1-1-1-1-1-1-11-11-11-1111-1-1-1-1-1-111111-1
χ81111111111111111111-1-1-1-111-1-1-1-1-1-1-11-11-11-11-1-1111111-1-1-1-1-11
χ91111111111111-1-1-1-1111111-1-1-1-111-1-11-11-1-11-11111111-1-111-1-1-1-1
χ101111111111111-1-1-1-1111111-1-1-1-111-1-11-11-1-11-11-1-1-1-1-1-111-1-11111
χ111111111111111-1-1-1-1111111-1-1-1-111-1-1-11-111-11-11111-1-111-1-111-1-1
χ121111111111111-1-1-1-1111111-1-1-1-111-1-1-11-111-11-1-1-1-1-111-1-111-1-111
χ131111111111111-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1-1-111-1-111-1-1-1-111-11
χ141111111111111-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-11111-1-11-1
χ151111111111111-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-11111-1-1-11
χ161111111111111-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-11111-1-11111-1-1-1-1111-1
χ172222222222-2-2-22222-2-20000-2-20000000000000000002-22-2000000
χ182222222222-2-2-22222-2-20000-2-2000000000000000000-22-22000000
χ192222222222-2-2-2-2-2-2-2-2-20000220000000000000000002-2-22000000
χ202222222222-2-2-2-2-2-2-2-2-2000022000000000000000000-222-2000000
χ2122222-2-2-2-2222222-2-2-2-222222-2-2-2-2-2220000000000000000000000
χ2222222-2-2-2-2222222-2-2-2-2-2-2-2-22-22222-2-20000000000000000000000
χ2322222-2-2-2-22222-2-222-2-22222-2222-2-2-2-20000000000000000000000
χ2422222-2-2-2-22222-2-222-2-2-2-2-2-2-22-2-222220000000000000000000000
χ2522222-2-2-2-22-2-2-222-2-2220000-2200000000000000000000002-22-200
χ2622222-2-2-2-22-2-2-222-2-2220000-220000000000000000000000-22-2200
χ2722222-2-2-2-22-2-2-2-2-2222200002-200000000000000000000002-2-2200
χ2822222-2-2-2-22-2-2-2-2-2222200002-20000000000000000000000-222-200
χ292222-222-2-2-222-200002-222-2-200002-200020-220-2000000000000000
χ302222-222-2-2-222-200002-222-2-200002-2000-202-202000000000000000
χ312222-222-2-2-222-200002-2-2-2220000-2200020-2-202000000000000000
χ322222-222-2-2-222-200002-2-2-2220000-22000-20220-2000000000000000
χ332222-2-2-222-222-20000-2222-2-20000-220020-20020-200000000000000
χ342222-2-2-222-222-20000-2222-2-20000-2200-20200-20200000000000000
χ352222-2-2-222-222-20000-22-2-22200002-20020-200-20200000000000000
χ362222-2-2-222-222-20000-22-2-22200002-200-2020020-200000000000000
χ374444-444-4-4-4-4-440000-440000000000000000000000000000000000
χ384444-4-4-444-4-4-4400004-40000000000000000000000000000000000
χ3944-4-444-44-4-400000000000000022−220022−220000000000000000000000
χ4044-4-444-44-4-4000000000000000−222200−22220000000000000000000000
χ4144-4-44-44-44-400000000000000022−2200−22220000000000000000000000
χ4244-4-44-44-44-4000000000000000−22220022−220000000000000000000000
χ4344-4-4-44-4-4440004i−4i4i−4i000000000000000000000000000000000000
χ4444-4-4-44-4-444000−4i4i−4i4i000000000000000000000000000000000000
χ4544-4-4-4-444-440004i−4i−4i4i000000000000000000000000000000000000
χ4644-4-4-4-444-44000−4i4i4i−4i000000000000000000000000000000000000
χ474-44-4000000-4400000004-40000000000000000002i−2i2i−2i0000000000
χ484-44-4000000-4400000004-4000000000000000000−2i2i−2i2i0000000000
χ494-44-4000000-440000000-440000000000000000002i−2i−2i2i0000000000
χ504-44-4000000-440000000-44000000000000000000−2i2i2i−2i0000000000
χ518-88-80000008-800000000000000000000000000000000000000000
χ528-8-880000000000000000042−42000000000000000000000000000000
χ538-8-8800000000000000000−4242000000000000000000000000000000

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