Finite Group Databasebeta

← Group #295264

Character table — Group #295264

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11111111444444448888888161616161616161616161616161616161616161616163232
order12222222444444444444444224444444488888888888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1111111
χ511111111111111111-1-111-1-1-111-1-11-1-1-111111-1-1-1-11111-1-1
χ611111111111111111-1-111-1-1-111-1-11-1-1-11-1-1-1-11111-1-1-1-111
χ711111111111111111-1-111-1-1-1-1-111-111-1-11111-1-1-1-1-1-1-1-111
χ811111111111111111-1-111-1-1-1-1-111-111-1-1-1-1-1-111111111-1-1
χ911111111-1-1111111-111-1-111-1111-1-11-1-1-111-1-111-1-111-1-11-1
χ1011111111-1-1111111-111-1-111-1111-1-11-1-1-1-1-111-1-111-1-111-11
χ1111111111-1-1111111-111-1-111-1-1-1-111-11-1111-1-111-1-1-1-111-11
χ1211111111-1-1111111-111-1-111-1-1-1-111-11-11-1-111-1-11111-1-11-1
χ1311111111-1-1111111-1-1-1-1-1-1-1111-11-1-111-111-1-1-1-11111-1-1-11
χ1411111111-1-1111111-1-1-1-1-1-1-1111-11-1-111-1-1-11111-1-1-1-1111-1
χ1511111111-1-1111111-1-1-1-1-1-1-11-1-11-111-11111-1-1-1-111-1-1111-1
χ1611111111-1-1111111-1-1-1-1-1-1-11-1-11-111-111-1-11111-1-111-1-1-11
χ1722222222222-2-2-2-22-222-22-2-220000000-2000000000000000
χ1822222222222-2-2-2-22-2-2-2-2222-200000002000000000000000
χ192222222222-222-2-2-2-2002-20002-2002000-200000000000000
χ202222222222-222-2-2-2-2002-2000-2200-2000200000000000000
χ212222222222-2-2-222-2200-2-2000002-20-220000000000000000
χ222222222222-2-2-222-2200-2-200000-2202-20000000000000000
χ2322222222-2-22-2-2-2-222222-2-2-2-200000002000000000000000
χ2422222222-2-22-2-2-2-222-2-22-22220000000-2000000000000000
χ2522222222-2-2-222-2-2-2200-220002-200-2000200000000000000
χ2622222222-2-2-222-2-2-2200-22000-22002000-200000000000000
χ2722222222-2-2-2-2-222-2-2002200000220-2-20000000000000000
χ2822222222-2-2-2-2-222-2-2002200000-2-20220000000000000000
χ292-22-2-22-220022-22-2-202i−2i002i−2i0000000000002i−2i002-2000000
χ302-22-2-22-220022-22-2-202i−2i002i−2i000000000000−2i2i00-22000000
χ312-22-2-22-220022-22-2-20−2i2i00−2i2i0000000000002i−2i00-22000000
χ322-22-2-22-220022-22-2-20−2i2i00−2i2i000000000000−2i2i002-2000000
χ332-22-2-22-22002-22-22-202i−2i00−2i2i00000000002i−2i002-200000000
χ342-22-2-22-22002-22-22-202i−2i00−2i2i0000000000−2i2i00-2200000000
χ352-22-2-22-22002-22-22-20−2i2i002i−2i00000000002i−2i00-2200000000
χ362-22-2-22-22002-22-22-20−2i2i002i−2i0000000000−2i2i002-200000000
χ3744-4-44-4-444i−4i00000000000000000000000000000002-22i−2i00
χ3844-4-44-4-444i−4i0000000000000000000000000000000-22−2i2i00
χ3944-4-44-4-44−4i4i00000000000000000000000000000002-2−2i2i00
χ4044-4-44-4-44−4i4i0000000000000000000000000000000-222i−2i00
χ414-44-4-44-4400-44-4-4440000000000000000000000000000000
χ424-44-4-44-4400-4-444-440000000000000000000000000000000
χ43888-8-8-88-8000000000000000000000000000000000000000
χ4488-88-88-8-8000000000000000000000000000000000000000
χ458-8888-8-8-8000000000000000000000000000000000000000
χ468-8-88-8-888000000000000000000000000000000000000000
χ478-8-8-8888-8000000000000000000000000000000000000000

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