Finite Group Databasebeta

← Group #297192

Character table — Group #297192

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11111111444444448888888161616161616161616161616161616161616161616163232
order12222222444444444444444224444444488888888888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-11-1-1-111111111-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111-1-11-1-1-1111-1-1-11-1-11111-1-1-1-11111-1-1
χ6111111111111111111-1-11-1-1-1111-1-1-11-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111-1-11-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111
χ8111111111111111111-1-11-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1
χ9111111111-1-111111-1-111-111-111-11-1-1-1-1111-1-111-1-111-1-11-1
χ10111111111-1-111111-1-111-111-111-11-1-1-1-11-1-111-1-111-1-111-11
χ11111111111-1-111111-1-111-111-1-1-11-11-111-111-1-111-1-1-1-111-11
χ12111111111-1-111111-1-111-111-1-1-11-11-111-1-1-111-1-11111-1-11-1
χ13111111111-1-111111-1-1-1-1-1-1-1111-1-111-11-111-1-1-1-11111-1-1-11
χ14111111111-1-111111-1-1-1-1-1-1-1111-1-111-11-1-1-11111-1-1-1-1111-1
χ15111111111-1-111111-1-1-1-1-1-1-11-1-111-111-1111-1-1-1-111-1-1111-1
χ16111111111-1-111111-1-1-1-1-1-1-11-1-111-111-11-1-11111-1-111-1-1-11
χ1722222222222-2-2-2-22-2-2222-2-2200000-200000000000000000
χ1822222222222-2-2-2-22-2-2-2-2222-200000200000000000000000
χ19222222222-2-2-2-2-2-222222-2-2-2-200000200000000000000000
χ20222222222-2-2-2-2-2-2222-2-2-222200000-200000000000000000
χ2122222222-22222-2-2-22-200-20000002200-2-200000000000000
χ2222222222-22222-2-2-22-200-2000000-2-2002200000000000000
χ2322222222-222-2-222-2-2200-20002-2-200020000000000000000
χ2422222222-222-2-222-2-2200-2000-222000-20000000000000000
χ2522222222-2-2-222-2-2-2-220020000002-2002-200000000000000
χ2622222222-2-2-222-2-2-2-22002000000-2200-2200000000000000
χ2722222222-2-2-2-2-222-22-20020002-22000-20000000000000000
χ2822222222-2-2-2-2-222-22-2002000-22-200020000000000000000
χ29222-2-22-2-2-2002-22-22002i−2i02i−2i0000000000002-2002i−2i000000
χ30222-2-22-2-2-2002-22-22002i−2i02i−2i000000000000-2200−2i2i000000
χ31222-2-22-2-2-2002-22-2200−2i2i0−2i2i0000000000002-200−2i2i000000
χ32222-2-22-2-2-2002-22-2200−2i2i0−2i2i000000000000-22002i−2i000000
χ33222-2-22-2-2-200-22-222002i−2i0−2i2i00000000002-2002i−2i00000000
χ34222-2-22-2-2-200-22-222002i−2i0−2i2i0000000000-2200−2i2i00000000
χ35222-2-22-2-2-200-22-22200−2i2i02i−2i00000000002-200−2i2i00000000
χ36222-2-22-2-2-200-22-22200−2i2i02i−2i0000000000-22002i−2i00000000
χ37444-4-44-4-44004-4-44-40000000000000000000000000000000
χ38444-4-44-4-4400-444-4-40000000000000000000000000000000
χ394-4-4-4-444404-40000000000000000000000000000002-22-200
χ404-4-4-4-444404-4000000000000000000000000000000-22-2200
χ414-4-4-4-44440-440000000000000000000000000000002-2-2200
χ424-4-4-4-44440-44000000000000000000000000000000-222-200
χ4388-88-8-88-8000000000000000000000000000000000000000
χ4488-8-88-8-88000000000000000000000000000000000000000
χ458-888-8-8-88000000000000000000000000000000000000000
χ468-88-88-88-8000000000000000000000000000000000000000
χ478-8-8888-8-8000000000000000000000000000000000000000

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