Finite Group Databasebeta

← Group #290911

Character table — Group #290911

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11111111444444448888888161616161616161616161616161616161616161616163232
order12222222444444442444444244444444488888888888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ411111111111111111111111-111-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ5111111111111111111-1-1-1-111-1-11-1-11-11-111111111-1-1-1-1-1-1
χ6111111111111111111-1-1-1-111-1-11-1-11-11-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111-1-1-1-11-1-1-1-111-11-111111-1-1-1-11111-1-1
χ8111111111111111111-1-1-1-11-1-1-1-111-11-11-1-1-1-11111-1-1-1-111
χ9111111111-1-111111-1-11111-11-1-1-11-1-111-111-1-111-1-111-1-11-1
χ10111111111-1-111111-1-11111-11-1-1-11-1-111-1-1-111-1-111-1-111-11
χ11111111111-1-111111-1-11111-1-1-1-11-111-1-1111-1-1-1-111-1-1111-1
χ12111111111-1-111111-1-11111-1-1-1-11-111-1-11-1-11111-1-111-1-1-11
χ13111111111-1-111111-1-1-1-1-1-1-1111-1-11-1-11111-1-111-1-1-1-111-11
χ14111111111-1-111111-1-1-1-1-1-1-1111-1-11-1-111-1-111-1-11111-1-11-1
χ15111111111-1-111111-1-1-1-1-1-1-1-11111-111-1-111-1-1-1-11111-1-1-11
χ16111111111-1-111111-1-1-1-1-1-1-1-11111-111-1-1-1-11111-1-1-1-1111-1
χ1722222222222-2-2-22-22-20000-20000220-20-200000000000000
χ1822222222222-2-2-22-22-20000-20000-2-2020200000000000000
χ19222222222-2-2-2-2-22-2-220000200002-20-20200000000000000
χ20222222222-2-2-2-2-22-2-22000020000-22020-200000000000000
χ2122222222-2222-2-2-22-220000-2200200-20-2000000000000000
χ2222222222-2222-2-2-22-220000-2-200-200202000000000000000
χ2322222222-222-222-2-2-2-222-2-2202-2000000000000000000000
χ2422222222-222-222-2-2-2-2-2-22220-22000000000000000000000
χ2522222222-2-2-22-2-2-222-200002200-20020-2000000000000000
χ2622222222-2-2-22-2-2-222-200002-200200-202000000000000000
χ2722222222-2-2-2-222-2-22222-2-2-20-22000000000000000000000
χ2822222222-2-2-2-222-2-222-2-222-202-2000000000000000000000
χ29222-2-2-2-22200-22-2-22002i−2i2i−2i000000000000000002i−2i002-200
χ30222-2-2-2-22200-22-2-22002i−2i2i−2i00000000000000000−2i2i00-2200
χ31222-2-2-2-22200-22-2-2200−2i2i−2i2i000000000000000002i−2i00-2200
χ32222-2-2-2-22200-22-2-2200−2i2i−2i2i00000000000000000−2i2i002-200
χ33222-2-2-2-22-20022-22-2002i−2i−2i2i0000000000000002-2002i−2i0000
χ34222-2-2-2-22-20022-22-2002i−2i−2i2i000000000000000-2200−2i2i0000
χ35222-2-2-2-22-20022-22-200−2i2i2i−2i0000000000000002-200−2i2i0000
χ36222-2-2-2-22-20022-22-200−2i2i2i−2i000000000000000-22002i−2i0000
χ37444-4-4-4-444004-44-4-40000000000000000000000000000000
χ38444-4-4-4-44-400-4-44440000000000000000000000000000000
χ394-44-4-444-404i−4i00000000000000000000002-22i−2i0000000000
χ404-44-4-444-404i−4i0000000000000000000000-22−2i2i0000000000
χ414-44-4-444-40−4i4i00000000000000000000002-2−2i2i0000000000
χ424-44-4-444-40−4i4i0000000000000000000000-222i−2i0000000000
χ4388-88-88-8-8000000000000000000000000000000000000000
χ4488-8-88-88-8000000000000000000000000000000000000000
χ458-8888-8-8-8000000000000000000000000000000000000000
χ468-8-88-8-888000000000000000000000000000000000000000
χ478-8-8-888-88000000000000000000000000000000000000000

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