Finite Group Databasebeta

← Group #290949

Character table — Group #290949

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11111111444444448888888161616161616161616161616161616161616161616163232
order12222222444444442444444444444444488888888888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ4111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-111111111-1-1
χ511111111111111111-1-111-1-1-11-1-111-1-11-111111111-1-1-1-1-1-1
χ611111111111111111-1-111-1-1-11-1-111-1-11-1-1-1-1-1-1-1-1-1111111
χ711111111111111111-1-111-1-1-1-11-1-1-111-111111-1-1-1-11111-1-1
χ811111111111111111-1-111-1-1-1-11-1-1-111-11-1-1-1-11111-1-1-1-111
χ9111111111-1-111111-111-1-111-111-11-11-1-1-111-1-111-1-111-1-11-1
χ10111111111-1-111111-111-1-111-111-11-11-1-1-1-1-111-1-111-1-111-11
χ11111111111-1-111111-111-1-111-1-1-1-1-11-111111-1-1-1-111-1-1111-1
χ12111111111-1-111111-111-1-111-1-1-1-1-11-1111-1-11111-1-111-1-1-11
χ13111111111-1-111111-1-1-1-1-1-1-111-111-1-11-1111-1-111-1-1-1-111-11
χ14111111111-1-111111-1-1-1-1-1-1-111-111-1-11-11-1-111-1-11111-1-11-1
χ15111111111-1-111111-1-1-1-1-1-1-11-111-111-11-111-1-1-1-11111-1-1-11
χ16111111111-1-111111-1-1-1-1-1-1-11-111-111-11-1-1-11111-1-1-1-1111-1
χ1722222222222-2-2-22-2200-2-200002000-2-20200000000000000
χ1822222222222-2-2-22-2200-2-20000-2000220-200000000000000
χ19222222222-2-2-2-2-22-2-2002200002000-220-200000000000000
χ20222222222-2-2-2-2-22-2-200220000-20002-20200000000000000
χ2122222222-2222-2-2-22-2002-2000200-2-2002000000000000000
χ2222222222-2222-2-2-22-2002-2000-2002200-2000000000000000
χ2322222222-222-222-2-2-222-22-2-2-200200000000000000000000
χ2422222222-222-222-2-2-2-2-2-2222200-200000000000000000000
χ2522222222-2-2-22-2-2-22200-22000200-2200-2000000000000000
χ2622222222-2-2-22-2-2-22200-22000-2002-2002000000000000000
χ2722222222-2-2-2-222-2-22222-2-2-2200-200000000000000000000
χ2822222222-2-2-2-222-2-22-2-22-222-200200000000000000000000
χ292-22-22-22-2200-22-2-2202i−2i002i−2i00000000000000002i−2i002-200
χ302-22-22-22-2200-22-2-2202i−2i002i−2i0000000000000000−2i2i00-2200
χ312-22-22-22-2200-22-2-220−2i2i00−2i2i00000000000000002i−2i00-2200
χ322-22-22-22-2200-22-2-220−2i2i00−2i2i0000000000000000−2i2i002-200
χ332-22-22-22-2-20022-22-202i−2i00−2i2i000000000000002-2002i−2i0000
χ342-22-22-22-2-20022-22-202i−2i00−2i2i00000000000000-2200−2i2i0000
χ352-22-22-22-2-20022-22-20−2i2i002i−2i000000000000002-200−2i2i0000
χ362-22-22-22-2-20022-22-20−2i2i002i−2i00000000000000-22002i−2i0000
χ374-44-44-44-44004-44-4-40000000000000000000000000000000
χ384-44-44-44-4-400-4-44440000000000000000000000000000000
χ394-4-444-4-4404i−4i00000000000000000000002-22i−2i0000000000
χ404-4-444-4-4404i−4i0000000000000000000000-22−2i2i0000000000
χ414-4-444-4-440−4i4i00000000000000000000002-2−2i2i0000000000
χ424-4-444-4-440−4i4i0000000000000000000000-222i−2i0000000000
χ43888-8-8-8-88000000000000000000000000000000000000000
χ4488-88-8-88-8000000000000000000000000000000000000000
χ4588-8-888-8-8000000000000000000000000000000000000000
χ468-888-88-8-8000000000000000000000000000000000000000
χ478-8-8-8-8888000000000000000000000000000000000000000

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