Finite Group Databasebeta

← Group #303303

Character table — Group #303303

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111222244444488888888888161616161616161616161616161616161616161616161616
order12222222222244444444444444444222444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1111-1-11-1-1-11-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111-1-1111-1-11-1-1-11-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-1111-1-111-1-1-11-11-1-11111-1-1-1-1-1-1-1-11111
χ611111111111111111111-1-1111-1-111-1-1-11-11-1-1-1-1-1-111111111-1-1-1-1
χ711111111111111111111-1-1-1-11-1-1-1-1-111-1-1-1111111-1-1-1-11111-1-1-1-1
χ811111111111111111111-1-1-1-11-1-1-1-1-111-1-1-111-1-1-1-11111-1-1-1-11111
χ91111111111111-1-1111-1-11111-1-1-11111-1-1-1-11-111-1-111-1-111-1-111-1-1
χ101111111111111-1-1111-1-11111-1-1-11111-1-1-1-11-1-1-111-1-111-1-111-1-111
χ111111111111111-1-1111-1-111-1-1-1-1-1-1-11-111-11-1111-1-111-1-1-1-111-1-111
χ121111111111111-1-1111-1-111-1-1-1-1-1-1-11-111-11-11-1-111-1-11111-1-111-1-1
χ131111111111111-1-1111-1-1-1-111-11111-1-11-11-1-1111-1-1-1-111-1-11111-1-1
χ141111111111111-1-1111-1-1-1-111-11111-1-11-11-1-11-1-11111-1-111-1-1-1-111
χ151111111111111-1-1111-1-1-1-1-1-1-111-1-1-11-11111-111-1-1-1-11111-1-1-1-111
χ161111111111111-1-1111-1-1-1-1-1-1-111-1-1-11-11111-1-1-11111-1-1-1-11111-1-1
χ17222222222222-222-2-2-2-2-2220022200-2000-20000000000000000000
χ18222222222222-222-2-2-2-2-2-2-2002-2-200200020000000000000000000
χ19222222222222-2-2-2-2-2-2222200-2-2-200-200020000000000000000000
χ20222222222222-2-2-2-2-2-222-2-200-222002000-20000000000000000000
χ2122222222-2-2-2-2222-2-222-20022-200-2-2000-202000000000000000000
χ2222222222-2-2-2-2222-2-222-200-2-2-2002200020-2000000000000000000
χ2322222222-2-2-2-22-2-2-2-22-220022200-2-200020-2000000000000000000
χ2422222222-2-2-2-22-2-2-2-22-2200-2-220022000-202000000000000000000
χ2522222222-2-2-2-2-22222-2-220000-2000002-2000-220000000000000000
χ2622222222-2-2-2-2-22222-2-220000-200000-220002-20000000000000000
χ2722222222-2-2-2-2-2-2-222-22-2000020000022000-2-20000000000000000
χ2822222222-2-2-2-2-2-2-222-22-20000200000-2-2000220000000000000000
χ292-22-222-2-22-22-22002-2-200002-20002-2000000000000002i−2i002i−2i0000
χ302-22-222-2-22-22-22002-2-200002-20002-200000000000000−2i2i00−2i2i0000
χ312-22-222-2-22-22-22002-2-20000-22000-22000000000000002i−2i00−2i2i0000
χ322-22-222-2-22-22-22002-2-20000-22000-2200000000000000−2i2i002i−2i0000
χ332-22-222-2-2-22-22200-22-200002-2000-220000000000002i−2i002i−2i000000
χ342-22-222-2-2-22-22200-22-200002-2000-22000000000000−2i2i00−2i2i000000
χ352-22-222-2-2-22-22200-22-20000-220002-20000000000002i−2i00−2i2i000000
χ362-22-222-2-2-22-22200-22-20000-220002-2000000000000−2i2i002i−2i000000
χ3744-4-44-44-4000004i−4i00000000000000000000002-22i−2i000000000000
χ3844-4-44-44-4000004i−4i0000000000000000000000-22−2i2i000000000000
χ3944-4-44-44-400000−4i4i00000000000000000000002-2−2i2i000000000000
χ4044-4-44-44-400000−4i4i0000000000000000000000-222i−2i000000000000
χ4144-4-4-44-444-4-4400000000000004i−4i00000000000000000000000000
χ4244-4-4-44-444-4-440000000000000−4i4i00000000000000000000000000
χ4344-4-4-44-44-444-4000000004i−4i0000000000000000000000000000000
χ4444-4-4-44-44-444-400000000−4i4i0000000000000000000000000000000
χ454-44-444-4-44-44-4-400-44400000000000000000000000000000000000
χ464-44-444-4-4-44-44-4004-4400000000000000000000000000000000000
χ474-4-44-444-444-4-400000000000000000000000000000000000002i2−2i200
χ484-4-44-444-444-4-40000000000000000000000000000000000000−2i22i200
χ494-4-44-444-4-4-44400000000000000000000000000000000000000022−22
χ504-4-44-444-4-4-444000000000000000000000000000000000000000−2222
χ518888-8-8-8-8000000000000000000000000000000000000000000000
χ528-88-8-8-888000000000000000000000000000000000000000000000
χ538-8-888-8-88000000000000000000000000000000000000000000000

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