Finite Group Databasebeta

← Group #294549

Character table — Group #294549

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111222244444488888888888161616161616161616161616161616161616161616161616
order12222222222244444444444444444222224444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-11-1-1111-1-1-1-111-1-1-1-1-1-1-1-11111
χ41111111111111111111111111-1-1-1-11-1-1-1-11-1-1-1-1-1-111111111-1-1-1-1
χ51111111111111111111-1-111-1-11111-1-1-111-111-1-1111111-1-1-1-1-1-1-1-1
χ61111111111111111111-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111
χ71111111111111111111-1-111-1-1-1-1-1-1-11111-1-1-11111-1-1-1-11111-1-1-1-1
χ81111111111111111111-1-111-1-1-1-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-11111
χ9111111111111-1-11111-111-1-11111-1-1-11-111-11-11-1-1-111-1-111-1-111-1-1
χ10111111111111-1-11111-111-1-11111-1-1-11-1-1-1-11-11-111-1-111-1-111-1-111
χ11111111111111-1-11111-111-1-111-1-111-1-1111-1-11-11-1-1-1-111-1-11111-1-1
χ12111111111111-1-11111-111-1-111-1-111-1-11-1-1-1-11-111111-1-111-1-1-1-111
χ13111111111111-1-11111-1-1-1-1-1-1-111-1-11-111111-1-11-1-111-1-1-1-111-1-111
χ14111111111111-1-11111-1-1-1-1-1-1-111-1-11-11-1-111-1-1111-1-11111-1-111-1-1
χ15111111111111-1-11111-1-1-1-1-1-1-1-1-11111-1111-111-1-1-1-1-11111-1-1-1-111
χ16111111111111-1-11111-1-1-1-1-1-1-1-1-11111-1-1-11-111-11111-1-1-1-11111-1-1
χ1722222222222222-2-2-2-2200-2-2002222000000-2-20000000000000000
χ1822222222222222-2-2-2-2200-2-200-2-2-2-2000000220000000000000000
χ19222222222222-2-2-2-2-2-2-200220022-2-2000000-220000000000000000
χ20222222222222-2-2-2-2-2-2-2002200-2-2220000002-20000000000000000
χ2122222222-2-2-2-2222-2-22-2222-2-2-2000020000-2000000000000000000
χ2222222222-2-2-2-2222-2-22-2-2-22-2220000-200002000000000000000000
χ2322222222-2-2-2-222-222-2-200-2200000002200000-2-200000000000000
χ2422222222-2-2-2-222-222-2-200-220000000-2-2000002200000000000000
χ2522222222-2-2-2-2-2-22-2-22222-22-2-20000-200002000000000000000000
χ2622222222-2-2-2-2-2-22-2-222-2-2-2222000020000-2000000000000000000
χ2722222222-2-2-2-2-2-2-222-22002-200000002-200000-2200000000000000
χ2822222222-2-2-2-2-2-2-222-22002-20000000-22000002-200000000000000
χ2922-2-222-2-22-22-20022-2-202i−2i002i−2i0000000000000000002i−2i002-20000
χ3022-2-222-2-22-22-20022-2-202i−2i002i−2i000000000000000000−2i2i00-220000
χ3122-2-222-2-22-22-20022-2-20−2i2i00−2i2i0000000000000000002i−2i00-220000
χ3222-2-222-2-22-22-20022-2-20−2i2i00−2i2i000000000000000000−2i2i002-20000
χ3322-2-222-2-2-22-22002-22-202i−2i00−2i2i00000000000000002i−2i002-2000000
χ3422-2-222-2-2-22-22002-22-202i−2i00−2i2i0000000000000000−2i2i00-22000000
χ3522-2-222-2-2-22-22002-22-20−2i2i002i−2i00000000000000002i−2i00-22000000
χ3622-2-222-2-2-22-22002-22-20−2i2i002i−2i0000000000000000−2i2i002-2000000
χ3744-4-444-4-44-44-400-4-44400000000000000000000000000000000000
χ3844-4-444-4-4-44-4400-44-4400000000000000000000000000000000000
χ394-44-44-44-444-4-400000000000000000000000000000000000002i2−2i200
χ404-44-44-44-444-4-40000000000000000000000000000000000000−2i22i200
χ414-44-44-44-4-4-44400000000000000000000000000000000000000022−22
χ424-44-44-44-4-4-444000000000000000000000000000000000000000−2222
χ434-4-444-4-444-4-440000000000000004-4000000000000000000000000
χ444-4-444-4-444-4-44000000000000000-44000000000000000000000000
χ454-4-444-4-44-444-400000000000004-400000000000000000000000000
χ464-4-444-4-44-444-40000000000000-4400000000000000000000000000
χ474-4-44-444-400004-40000000000000000002-2000002-2000000000000
χ484-4-44-444-400004-4000000000000000000-2200000-22000000000000
χ494-4-44-444-40000-440000000000000000002-200000-22000000000000
χ504-4-44-444-40000-44000000000000000000-22000002-2000000000000
χ518888-8-8-8-8000000000000000000000000000000000000000000000
χ5288-8-8-8-888000000000000000000000000000000000000000000000
χ538-88-8-88-88000000000000000000000000000000000000000000000

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