Finite Group Databasebeta

← Group #255271

Character table — Group #255271

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111222244444488888888888161616161616161616161616161616161616161616161616
order12222222222222444424444444444224444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-111-1-11-1-1-1-1111-1-1111111-1-1-1-1-1-1-1-1
χ411111111111111111111111-1-111-1-11-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111
χ51111111111111111111-1-1-1-1111111-1-1-1-1111-11-111-1-1-1-1-1-1-1-11111
χ61111111111111111111-1-1-1-1111111-1-1-1-11-1-1-11-1-1-111111111-1-1-1-1
χ71111111111111111111-1-1-1-1-1-111-1-1-1111-111-1-1111-1-1-1-11111-1-1-1-1
χ81111111111111111111-1-1-1-1-1-111-1-1-1111-1-1-1-1-11-1-11111-1-1-1-11111
χ9111111111111-1-11111-111-1-111-1-111111-1-111-1-1-1-1-111-1-111-1-111-1-1
χ10111111111111-1-11111-111-1-111-1-111111-1-1-1-1-1-1-111-1-111-1-111-1-111
χ11111111111111-1-11111-111-1-1-1-1-1-1-1-11-1-11111-111-1-111-1-1-1-111-1-111
χ12111111111111-1-11111-111-1-1-1-1-1-1-1-11-1-111-1-1-11111-1-11111-1-111-1-1
χ13111111111111-1-11111-1-1-11111-1-111-1-1-11-1111-11-1-1-1-111-1-11111-1-1
χ14111111111111-1-11111-1-1-11111-1-111-1-1-11-1-1-11-111111-1-111-1-1-1-111
χ15111111111111-1-11111-1-1-111-1-1-1-1-1-1-111-111111-1-1-1-1-11111-1-1-1-111
χ16111111111111-1-11111-1-1-111-1-1-1-1-1-1-111-11-1-111-11111-1-1-1-11111-1-1
χ1722222222222222-2-2-2-22222200-2-200-2000000-20000000000000000
χ1822222222222222-2-2-2-22-2-2-2-200-2-200200000020000000000000000
χ19222222222222-2-2-2-2-2-2-222-2-2002200-200000020000000000000000
χ20222222222222-2-2-2-2-2-2-2-2-2220022002000000-20000000000000000
χ2122222222-2-2-2-2222-2-22-20000222-2-2-200002000-2000000000000000
χ2222222222-2-2-2-2222-2-22-20000-2-22-2220000-20002000000000000000
χ2322222222-2-2-2-222-222-2-2000000-220002-2-200000200000000000000
χ2422222222-2-2-2-222-222-2-2000000-22000-22200000-200000000000000
χ2522222222-2-2-2-2-2-22-2-222000022-22-2-20000-20002000000000000000
χ2622222222-2-2-2-2-2-22-2-2220000-2-2-222200002000-2000000000000000
χ2722222222-2-2-2-2-2-2-222-220000002-20002-2200000-200000000000000
χ2822222222-2-2-2-2-2-2-222-220000002-2000-22-200000200000000000000
χ292-22-22-22-22-22-20022-2-2000002-2002-200000000002i−2i00000000002i−2i
χ302-22-22-22-22-22-20022-2-2000002-2002-20000000000−2i2i0000000000−2i2i
χ312-22-22-22-22-22-20022-2-200000-2200-2200000000002i−2i0000000000−2i2i
χ322-22-22-22-22-22-20022-2-200000-2200-220000000000−2i2i00000000002i−2i
χ332-22-22-22-2-22-22002-22-2000002-200-22000002i−2i00000000000002i−2i00
χ342-22-22-22-2-22-22002-22-2000002-200-2200000−2i2i0000000000000−2i2i00
χ352-22-22-22-2-22-22002-22-200000-22002-2000002i−2i0000000000000−2i2i00
χ362-22-22-22-2-22-22002-22-200000-22002-200000−2i2i00000000000002i−2i00
χ37444-4-44-4-444-4-400000000000000000000000000000000022−22000000
χ38444-4-44-4-444-4-4000000000000000000000000000000000−2222000000
χ39444-4-44-4-4-4-444000000000000000000000000000000000002i2−2i20000
χ40444-4-44-4-4-4-44400000000000000000000000000000000000−2i22i20000
χ414-444-4-4-444-4-440000000004i−4i000000000000000000000000000000
χ424-444-4-4-444-4-44000000000−4i4i000000000000000000000000000000
χ434-444-4-4-44-444-400000004i−4i00000000000000000000000000000000
χ444-444-4-4-44-444-40000000−4i4i00000000000000000000000000000000
χ454-44-44-44-44-44-400-4-44400000000000000000000000000000000000
χ464-44-44-44-4-44-4400-44-4400000000000000000000000000000000000
χ474-4-4-444-4400004-40000000000000000000000000002-22-200000000
χ484-4-4-444-4400004-4000000000000000000000000000-22-2200000000
χ494-4-4-444-440000-440000000000000000000000000002-2-2200000000
χ504-4-4-444-440000-44000000000000000000000000000-222-200000000
χ5188-888-8-8-8000000000000000000000000000000000000000000000
χ5288-8-8-8-888000000000000000000000000000000000000000000000
χ538-8-88-888-8000000000000000000000000000000000000000000000

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