Finite Group Databasebeta

← Group #294555

Character table — Group #294555

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111222244444488888888888161616161616161616161616161616161616161616161616
order12222222222244444444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-111-1-11-1-11-1-111-1-1-1-1-1-1-1-11111
χ41111111111111111111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-111111111-1-1-1-1
χ511111111111111111111-1-11-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ611111111111111111111-1-11-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111-1-11-1-1-1-1-1-111-1-1-111-11111-1-1-1-11111-1-1-1-1
χ811111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-111-111-1-11111-1-1-1-11111
χ9111111111111-1-11111-1-111-11111-1-1111-1-11-1-11-1-1-111-1-111-1-111-1-1
χ10111111111111-1-11111-1-111-11111-1-1-1-11-1-11-1-11-111-1-111-1-111-1-111
χ11111111111111-1-11111-1-111-111-1-11111-11-1-11-1-11-1-1-1-111-1-11111-1-1
χ12111111111111-1-11111-1-111-111-1-111-1-1-11-1-11-1-111111-1-111-1-1-1-111
χ13111111111111-1-11111-1-1-1-1-1-1-111-1-1111-11-111-11-1-111-1-1-1-111-1-111
χ14111111111111-1-11111-1-1-1-1-1-1-111-1-1-1-11-11-111-1111-1-11111-1-111-1-1
χ15111111111111-1-11111-1-1-1-1-1-1-1-1-11111-1111-111-1-1-1-1-11111-1-1-1-111
χ16111111111111-1-11111-1-1-1-1-1-1-1-1-111-1-1-1111-111-11111-1-1-1-11111-1-1
χ1722222222222222-2-2-2-2-2-200200222200-2-200000000000000000000
χ1822222222222222-2-2-2-2-2-200200-2-2-2-2002200000000000000000000
χ19222222222222-2-2-2-2-2-22200-20022-2-200-2200000000000000000000
χ20222222222222-2-2-2-2-2-22200-200-2-222002-200000000000000000000
χ2122222222-2-2-2-2222-2-222-222-2-2-200000000200-20000000000000000
χ2222222222-2-2-2-2222-2-222-2-2-2-22200000000-20020000000000000000
χ2322222222-2-2-2-222-222-2-2200-200000000000220-2-200000000000000
χ2422222222-2-2-2-222-222-2-2200-200000000000-2-202200000000000000
χ2522222222-2-2-2-2-2-22-2-22-22222-2-200000000-20020000000000000000
χ2622222222-2-2-2-2-2-22-2-22-22-2-222200000000200-20000000000000000
χ2722222222-2-2-2-2-2-2-222-22-2002000000000002-20-2200000000000000
χ2822222222-2-2-2-2-2-2-222-22-200200000000000-2202-200000000000000
χ292-22-2-2-2222-22-20022-2-2002i−2i02i−2i0000000000000000002i−2i002-20000
χ302-22-2-2-2222-22-20022-2-2002i−2i02i−2i000000000000000000−2i2i00-220000
χ312-22-2-2-2222-22-20022-2-200−2i2i0−2i2i0000000000000000002i−2i00-220000
χ322-22-2-2-2222-22-20022-2-200−2i2i0−2i2i000000000000000000−2i2i002-20000
χ332-22-2-2-222-22-22002-22-2002i−2i0−2i2i00000000000000002i−2i002-2000000
χ342-22-2-2-222-22-22002-22-2002i−2i0−2i2i0000000000000000−2i2i00-22000000
χ352-22-2-2-222-22-22002-22-200−2i2i02i−2i00000000000000002i−2i00-22000000
χ362-22-2-2-222-22-22002-22-200−2i2i02i−2i0000000000000000−2i2i002-2000000
χ37444-44-4-4-44-4-440000000000000004-4000000000000000000000000
χ38444-44-4-4-44-4-44000000000000000-44000000000000000000000000
χ39444-44-4-4-4-444-400000000000004-400000000000000000000000000
χ40444-44-4-4-4-444-40000000000000-4400000000000000000000000000
χ414-444-44-4-444-4-4000000000000000000000000000000000000022−2200
χ424-444-44-4-444-4-40000000000000000000000000000000000000−222200
χ434-444-44-4-4-4-4440000000000000000000000000000000000000002i2−2i2
χ444-444-44-4-4-4-444000000000000000000000000000000000000000−2i22i2
χ454-44-4-4-4444-44-400-4-44400000000000000000000000000000000000
χ464-44-4-4-444-44-4400-44-4400000000000000000000000000000000000
χ474-4-444-44-400004-40000000000000002i−2i000000002i−2i000000000000
χ484-4-444-44-400004-4000000000000000−2i2i00000000−2i2i000000000000
χ494-4-444-44-40000-440000000000000002i−2i00000000−2i2i000000000000
χ504-4-444-44-40000-44000000000000000−2i2i000000002i−2i000000000000
χ5188-88-8-8-88000000000000000000000000000000000000000000000
χ5288-8-8-888-8000000000000000000000000000000000000000000000
χ538-8-8-888-88000000000000000000000000000000000000000000000

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