Finite Group Databasebeta

← Group #303880

Character table — Group #303880

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size1111111144444444444488888888888881616161616161616161616161616161616163232
order12222222444444444444224448888888822244444448888888844
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-111-1-1-1-1-11111-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1-1-1-111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-111
χ611111111111111111111-1-1-1-1111111111-1-11-1-111-1-11-1-1-1-11111-1-1
χ711111111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-111-111111111-1-1
χ811111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-11-1-111-1-111111-1-1-1-111
χ911111111-1-1-1-1-1-11111111111-11111-1-1-1-11-11-1-11-11-1-111-1-111-1-11-1
χ1011111111-1-1-1-1-1-11111111111-11111-1-1-1-1-11-1-1-1-11-11111-1-1-1-111-11
χ1111111111-1-1-1-1-1-11111111111-1-1-1-1-111111-11-1-11-11-1-1-1-111-1-111-11
χ1211111111-1-1-1-1-1-11111111111-1-1-1-1-11111-11-1-1-1-11-111-1-11111-1-11-1
χ1311111111-1-1-1-1-1-1111111-1-1-1-1-11111-1-1-1-11-1-111-111-11-1-111-1-1111-1
χ1411111111-1-1-1-1-1-1111111-1-1-1-1-11111-1-1-1-1-111111-1-11-1-1-11111-1-1-11
χ1511111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111111-1-111-111-1111-1-111-1-1-11
χ1611111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11111-111111-1-11-111-1-1-1-1111-1
χ17222222222222-2-2-222-2-2-20000-20000000000200-2-20020000000000
χ18222222222222-2-2-222-2-2-20000-20000000000-2002200-20000000000
χ192222222222-2-222-2-2-222-20000-2000000002200000-2-200000000000
χ202222222222-2-222-2-2-222-20000-200000000-2-2000002200000000000
χ212222222222-2-2-2-22-2-2-2-2222-2-22000000000002-2000000000000000
χ222222222222-2-2-2-22-2-2-2-22-2-222200000000000-22000000000000000
χ2322222222-2-222222-2-2-2-2222-2-2-200000000000-22000000000000000
χ2422222222-2-222222-2-2-2-22-2-222-2000000000002-2000000000000000
χ2522222222-2-222-2-2-2-2-222-200002000000002-200000-2200000000000
χ2622222222-2-222-2-2-2-2-222-20000200000000-22000002-200000000000
χ2722222222-2-2-2-222-222-2-2-2000020000000000200-2200-20000000000
χ2822222222-2-2-2-222-222-2-2-2000020000000000-2002-20020000000000
χ292-22-2-222-200000022-22-2-22-22-2000002i2i−2i−2i0000000000002i−2i000000
χ302-22-2-222-200000022-22-2-22-22-200000−2i−2i2i2i000000000000−2i2i000000
χ312-22-2-222-200000022-22-2-2-22-22000002i2i−2i−2i000000000000−2i2i000000
χ322-22-2-222-200000022-22-2-2-22-2200000−2i−2i2i2i0000000000002i−2i000000
χ332-22-2-222-20000002-22-22-22-2-2202i2i−2i−2i000000000000002i−2i00000000
χ342-22-2-222-20000002-22-22-22-2-220−2i−2i2i2i00000000000000−2i2i00000000
χ352-22-2-222-20000002-22-22-2-222-202i2i−2i−2i00000000000000−2i2i00000000
χ362-22-2-222-20000002-22-22-2-222-20−2i−2i2i2i000000000000002i−2i00000000
χ3744-44-4-44-44-40000000000000002i−2i2i−2i2i−2i2i−2i00000000000000000000
χ3844-44-4-44-44-4000000000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000
χ3944-44-4-44-4-440000000000000002i−2i2i−2i−2i2i−2i2i00000000000000000000
χ4044-44-4-44-4-44000000000000000−2i2i−2i2i2i−2i2i−2i00000000000000000000
χ414-44-4-444-4000000-44-4-444000000000000000000000000000000000
χ424-44-4-444-4000000-4-444-44000000000000000000000000000000000
χ434-4-4444-4-400004-40000000000000000000000000000000002i−2i2i−2i00
χ444-4-4444-4-400004-4000000000000000000000000000000000−2i2i−2i2i00
χ454-4-4444-4-40000-440000000000000000000000000000000002i−2i−2i2i00
χ464-4-4444-4-40000-44000000000000000000000000000000000−2i2i2i−2i00
χ474-4-4-44-444004-400000000000002-2-222-2-2200000000000000000000
χ484-4-4-44-444004-40000000000000-222-2-222-200000000000000000000
χ494-4-4-44-44400-4400000000000002-2-22-222-200000000000000000000
χ504-4-4-44-44400-440000000000000-222-22-2-2200000000000000000000
χ51888-88-8-8-8000000000000000000000000000000000000000000000
χ5288-8-8-88-88000000000000000000000000000000000000000000000
χ538-888-8-8-88000000000000000000000000000000000000000000000

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