Finite Group Databasebeta

← Group #249015

Character table — Group #249015

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111111112222444444448888888888888816161616161616161616161616161616161616161616
order12222222222244444444222222444444442444444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-111-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1111111-1-1111-1-1-1-11-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111-1-1111111-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1-111111111
χ711111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-1-11-1-11111-1-1-1-11111
χ811111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-11111111111-1-1-1-1
χ9111111111111-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-1-1-111111-1-111-1-111-1-1
χ10111111111111-1-1-1-11111111111-1-1-1-1-1-111-11111-1-1-1-1-111-1-1-1-111-1-111
χ11111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-11111-1-1-1-111
χ12111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111-1-111-111-1-111-1-11111-1-1
χ13111111111111-1-1-1-11111-1-1-1-111-1-11111111-1-1-1-1-1-1111-1-111-1-111-1-111
χ14111111111111-1-1-1-11111-1-1-1-111-1-1111111-11111-1-1-1-1-1-1-11111-1-111-1-1
χ15111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11-1-111111-1-111-1-1-1-11111-1-1
χ16111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-111-1-111-11111-1-111-1-1-1-111
χ172222222222222222-2-2-2-2000022-2-20000-2-2000002-2000000000000000
χ182222222222222222-2-2-2-20000-2-2-2-200002200000-22000000000000000
χ19222222222222-2-2-2-2-2-2-2-2000022220000-2-200000-22000000000000000
χ20222222222222-2-2-2-2-2-2-2-20000-2-222000022000002-2000000000000000
χ2122222222-2-2-2-222-2-222-2-20000002-20000000002-20002-2000000000000
χ2222222222-2-2-2-222-2-222-2-20000002-2000000000-22000-22000000000000
χ2322222222-2-2-2-222-2-2-2-222000000-2200000022-20000-200000000000000
χ2422222222-2-2-2-222-2-2-2-222000000-22000000-2-220000200000000000000
χ2522222222-2-2-2-2-2-22222-2-2000000-220000000002-2000-22000000000000
χ2622222222-2-2-2-2-2-22222-2-2000000-22000000000-220002-2000000000000
χ2722222222-2-2-2-2-2-222-2-2220000002-20000002-220000-200000000000000
χ2822222222-2-2-2-2-2-222-2-2220000002-2000000-22-20000200000000000000
χ292-2-2-2-22222-2-2200002-22-200002-20022-2-22-20000000000002-200000000
χ302-2-2-2-22222-2-2200002-22-200002-200-2-2222-2000000000000-2200000000
χ312-2-2-2-22222-2-2200002-22-20000-220022-2-2-22000000000000-2200000000
χ322-2-2-2-22222-2-2200002-22-20000-2200-2-222-220000000000002-200000000
χ332-2-2-2-22222-2-220000-22-2222-2-22-2000000-2200000000002-20000000000
χ342-2-2-2-22222-2-220000-22-2222-2-2-220000002-20000000000-220000000000
χ352-2-2-2-22222-2-220000-22-22-2-2222-2000000-220000000000-220000000000
χ362-2-2-2-22222-2-220000-22-22-2-222-220000002-200000000002-20000000000
χ37444-4-44-4-444-4-400000000000000000000000000000000000022−22000000
χ38444-4-44-4-444-4-4000000000000000000000000000000000000−2222000000
χ39444-4-44-4-4-4-444000000000000000000000000000000000000002i2−2i20000
χ40444-4-44-4-4-4-44400000000000000000000000000000000000000−2i22i20000
χ4144-44-4-44-40000004i−4i00002-22-200002i−2i2i−2i000000000000000000000000
χ4244-44-4-44-40000004i−4i0000-22-220000−2i2i−2i2i000000000000000000000000
χ4344-44-4-44-4000000−4i4i00002-22-20000−2i2i−2i2i000000000000000000000000
χ4444-44-4-44-4000000−4i4i0000-22-2200002i−2i2i−2i000000000000000000000000
χ454-44-44-44-400004i−4i0000002-2-2200002i−2i−2i2i000000000000000000000000
χ464-44-44-44-400004i−4i000000-222-20000−2i2i2i−2i000000000000000000000000
χ474-44-44-44-40000−4i4i0000002-2-220000−2i2i2i−2i000000000000000000000000
χ484-44-44-44-40000−4i4i000000-222-200002i−2i−2i2i000000000000000000000000
χ494-4-4444-4-44-44-400000000000000000000000000000000000000002i2−2i200
χ504-4-4444-4-44-44-40000000000000000000000000000000000000000−2i22i200
χ514-4-4444-4-4-44-4400000000000000000000000000000000000000000022−22
χ524-4-4444-4-4-44-44000000000000000000000000000000000000000000−2222
χ534-4-4-4-4444-444-400004-4-44000000000000000000000000000000000000
χ544-4-4-4-4444-444-40000-444-4000000000000000000000000000000000000
χ5588-8-88-8-88000000000000000000000000000000000000000000000000
χ568-888-8-8-88000000000000000000000000000000000000000000000000

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