Finite Group Databasebeta

← Group #303949

Character table — Group #303949

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11111111444444448888888161616161616161616161616161616161616161616163232
order12222222444444442244444224444444488888888888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-11-1-1-1-1-1-1111111111-1-1-1-1-1-1
χ411111111111111111111111-1-11-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111
χ51111111111111111-1-1111-1-11-1-111-1-11-1-11111-1-1-1-11111-1-1
χ61111111111111111-1-1111-1-11-1-111-1-11-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111-1-1111-1-1-11-1-1-111-11-11111-1-1-1-1-1-1-1-111
χ81111111111111111-1-1111-1-1-11-1-1-111-11-1-1-1-1-111111111-1-1
χ9111111111-1-11111111-1-1-11111-11-11-1-1-1-111-1-111-1-111-1-11-1
χ10111111111-1-11111111-1-1-11111-11-11-1-1-1-1-1-111-1-111-1-111-11
χ11111111111-1-11111111-1-1-111-1-1-1-11-1111-111-1-111-1-1-1-111-11
χ12111111111-1-11111111-1-1-111-1-1-1-11-1111-1-1-111-1-11111-1-11-1
χ13111111111-1-111111-1-1-1-1-1-1-11-111-1-11-11111-1-1-1-11111-1-1-11
χ14111111111-1-111111-1-1-1-1-1-1-11-111-1-11-111-1-11111-1-1-1-1111-1
χ15111111111-1-111111-1-1-1-1-1-1-1-111-111-11-1111-1-1-1-111-1-1111-1
χ16111111111-1-111111-1-1-1-1-1-1-1-111-111-11-11-1-11111-1-111-1-1-11
χ1722222222222-2-2-2-2222-2-22-2-200-2000000200000000000000
χ1822222222222-2-2-2-22-2-2-2-2222002000000-200000000000000
χ19222222222-2-2-2-2-2-222222-2-2-2002000000-200000000000000
χ20222222222-2-2-2-2-2-22-2-222-22200-2000000200000000000000
χ2122222222-22222-2-2-2002-2-20002000-2-202000000000000000
χ2222222222-22222-2-2-2002-2-2000-2000220-2000000000000000
χ2322222222-222-2-222-200-22-200200-2-20020000000000000000
χ2422222222-222-2-222-200-22-200-2002200-20000000000000000
χ2522222222-2-2-222-2-2-200-2220002000-220-2000000000000000
χ2622222222-2-2-222-2-2-200-222000-20002-202000000000000000
χ2722222222-2-2-2-2-222-2002-2200200-2200-20000000000000000
χ2822222222-2-2-2-2-222-2002-2200-2002-20020000000000000000
χ292-2-2-2222-22002-22-2-22-20002-20000000000002i−2i002i−2i000000
χ302-2-2-2222-22002-22-2-22-20002-2000000000000−2i2i00−2i2i000000
χ312-2-2-2222-22002-22-2-2-22000-220000000000002i−2i00−2i2i000000
χ322-2-2-2222-22002-22-2-2-22000-22000000000000−2i2i002i−2i000000
χ332-2-2-2222-2200-22-22-22-2000-2200000000002i−2i002i−2i00000000
χ342-2-2-2222-2200-22-22-22-2000-220000000000−2i2i00−2i2i00000000
χ352-2-2-2222-2200-22-22-2-220002-200000000002i−2i00−2i2i00000000
χ362-2-2-2222-2200-22-22-2-220002-20000000000−2i2i002i−2i00000000
χ374-4-44-4-44404-40000000000000000000000000000002-22-200
χ384-4-44-4-44404-4000000000000000000000000000000-22-2200
χ394-4-44-4-4440-440000000000000000000000000000002-2-2200
χ404-4-44-4-4440-44000000000000000000000000000000-222-200
χ414-4-4-4444-4-4004-4-4440000000000000000000000000000000
χ424-4-4-4444-4-400-444-440000000000000000000000000000000
χ43888-8-8-88-8000000000000000000000000000000000000000
χ4488-888-8-8-8000000000000000000000000000000000000000
χ4588-8-8-88-88000000000000000000000000000000000000000
χ468-888-88-8-8000000000000000000000000000000000000000
χ478-88-88-8-88000000000000000000000000000000000000000

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