Finite Group Databasebeta

← Group #297198

Character table — Group #297198

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11111111444444448888888161616161616161616161616161616161616161616163232
order12222222444444444444444244444444488888888888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111-1-11-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ6111111111111111111-1-11-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111-1-11-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ8111111111111111111-1-11-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1
χ9111111111-1-111111-1-111-1111-11-1-1-11-11-111-1-111-1-111-1-11-1
χ10111111111-1-111111-1-111-1111-11-1-1-11-11-1-1-111-1-111-1-111-11
χ11111111111-1-111111-1-111-111-11-11-1-1-11-1111-1-111-1-1-1-111-11
χ12111111111-1-111111-1-111-111-11-11-1-1-11-11-1-111-1-11111-1-11-1
χ13111111111-1-111111-1-1-1-1-1-1-11-1-11111-1-1111-1-1-1-11111-1-1-11
χ14111111111-1-111111-1-1-1-1-1-1-11-1-11111-1-11-1-11111-1-1-1-1111-1
χ15111111111-1-111111-1-1-1-1-1-1-1-111-111-111-111-1-1-1-111-1-1111-1
χ16111111111-1-111111-1-1-1-1-1-1-1-111-111-111-1-1-11111-1-111-1-1-11
χ1722222222222-2-2-2-222-222-2-2-200002-2000000000000000000
χ1822222222222-2-2-2-222-2-2-2-2220000-22000000000000000000
χ19222222222-2-2-2-2-2-22-22222-2-20000-22000000000000000000
χ20222222222-2-2-2-2-2-22-22-2-222200002-2000000000000000000
χ2122222222-22222-2-2-2-2200-20000220000-2-200000000000000
χ2222222222-22222-2-2-2-2200-20000-2-200002200000000000000
χ2322222222-222-2-222-2-2-200200220000-2-20000000000000000
χ2422222222-222-2-222-2-2-200200-2-20000220000000000000000
χ2522222222-2-2-222-2-2-22-200200002-20000-2200000000000000
χ2622222222-2-2-222-2-2-22-20020000-2200002-200000000000000
χ2722222222-2-2-2-2-222-22200-2002-20000-220000000000000000
χ2822222222-2-2-2-2-222-22200-200-2200002-20000000000000000
χ2922-2-222-2-2-2002-22-22002i−2i02i−2i0000000000002-2002i−2i000000
χ3022-2-222-2-2-2002-22-22002i−2i02i−2i000000000000-2200−2i2i000000
χ3122-2-222-2-2-2002-22-2200−2i2i0−2i2i0000000000002-200−2i2i000000
χ3222-2-222-2-2-2002-22-2200−2i2i0−2i2i000000000000-22002i−2i000000
χ3322-2-222-2-2-200-22-222002i−2i0−2i2i00000000002-2002i−2i00000000
χ3422-2-222-2-2-200-22-222002i−2i0−2i2i0000000000-2200−2i2i00000000
χ3522-2-222-2-2-200-22-22200−2i2i02i−2i00000000002-200−2i2i00000000
χ3622-2-222-2-2-200-22-22200−2i2i02i−2i0000000000-22002i−2i00000000
χ374444-4-4-4-404-40000000000000000000000000000002-22-200
χ384444-4-4-4-404-4000000000000000000000000000000-22-2200
χ394444-4-4-4-40-440000000000000000000000000000002-2-2200
χ404444-4-4-4-40-44000000000000000000000000000000-222-200
χ4144-4-444-4-44004-4-44-40000000000000000000000000000000
χ4244-4-444-4-4400-444-4-40000000000000000000000000000000
χ4388-8-8-8-888000000000000000000000000000000000000000
χ448-88-88-88-8000000000000000000000000000000000000000
χ458-88-8-88-88000000000000000000000000000000000000000
χ468-8-888-8-88000000000000000000000000000000000000000
χ478-8-88-888-8000000000000000000000000000000000000000

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