Finite Group Databasebeta

← Group #295231

Character table — Group #295231

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11111111444444448888888161616161616161616161616161616161616161616163232
order12222222444444444444444222444444488888888888824
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111-1-11-1-1-11111-1-1-1-1-11111-1-1-1-11111-1-1
χ6111111111111111111-1-11-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111-1-11-1-1-1-1-1-1-111-1111111-1-1-1-1-1-1-1-111
χ8111111111111111111-1-11-1-1-1-1-1-1-111-111-1-1-1-111111111-1-1
χ9111111111-1-111111-1-111-111-11-11-11-1-11-111-1-111-1-111-1-11-1
χ10111111111-1-111111-1-111-111-11-11-11-1-11-1-1-111-1-111-1-111-11
χ11111111111-1-111111-1-111-111-1-11-11-11-1-1111-1-111-1-1-1-111-11
χ12111111111-1-111111-1-111-111-1-11-11-11-1-11-1-111-1-11111-1-11-1
χ13111111111-1-111111-1-1-1-1-1-1-111-11-1-111-1111-1-1-1-11111-1-1-11
χ14111111111-1-111111-1-1-1-1-1-1-111-11-1-111-11-1-11111-1-1-1-1111-1
χ15111111111-1-111111-1-1-1-1-1-1-11-11-111-111-111-1-1-1-111-1-1111-1
χ16111111111-1-111111-1-1-1-1-1-1-11-11-111-111-1-1-11111-1-111-1-1-11
χ1722222222222-2-2-2-22-2222-2-2-2-200000020000000000000000
χ1822222222222-2-2-2-22-22-2-2-2222000000-20000000000000000
χ19222222222-2-2-2-2-2-222-2222-2-22000000-20000000000000000
χ20222222222-2-2-2-2-2-222-2-2-2222-200000020000000000000000
χ2122222222-22222-2-2-2-2-20020000000220-2-200000000000000
χ2222222222-22222-2-2-2-2-20020000000-2-202200000000000000
χ2322222222-222-2-222-22-200-200022-2-20000000000000000000
χ2422222222-222-2-222-22-200-2000-2-2220000000000000000000
χ2522222222-2-2-222-2-2-22200-200000002-20-2200000000000000
χ2622222222-2-2-222-2-2-22200-20000000-2202-200000000000000
χ2722222222-2-2-2-2-222-2-220020002-2-220000000000000000000
χ2822222222-2-2-2-2-222-2-22002000-222-20000000000000000000
χ2922-2-22-22-22002-22-2-2002i−2i02i−2i0000000000002i−2i002-2000000
χ3022-2-22-22-22002-22-2-2002i−2i02i−2i000000000000−2i2i00-22000000
χ3122-2-22-22-22002-22-2-200−2i2i0−2i2i0000000000002i−2i00-22000000
χ3222-2-22-22-22002-22-2-200−2i2i0−2i2i000000000000−2i2i002-2000000
χ3322-2-22-22-2200-22-22-2002i−2i0−2i2i00000000002i−2i002-200000000
χ3422-2-22-22-2200-22-22-2002i−2i0−2i2i0000000000−2i2i00-2200000000
χ3522-2-22-22-2200-22-22-200−2i2i02i−2i00000000002i−2i00-2200000000
χ3622-2-22-22-2200-22-22-200−2i2i02i−2i0000000000−2i2i002-200000000
χ3744-4-44-44-4-4004-4-4440000000000000000000000000000000
χ3844-4-44-44-4-400-444-440000000000000000000000000000000
χ394-4-44-4-44404-40000000000000000000000000000002-22-200
χ404-4-44-4-44404-4000000000000000000000000000000-22-2200
χ414-4-44-4-4440-440000000000000000000000000000002-2-2200
χ424-4-44-4-4440-44000000000000000000000000000000-222-200
χ438888-8-8-8-8000000000000000000000000000000000000000
χ4488-8-8-88-88000000000000000000000000000000000000000
χ458-88-88-8-88000000000000000000000000000000000000000
χ468-88-8-888-8000000000000000000000000000000000000000
χ478-8-8888-8-8000000000000000000000000000000000000000

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