Finite Group Databasebeta

← Group #261434

Character table — Group #261434

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111222244444488888888888161616161616161616161616161616161616161616161616
order12222222222244444422224444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-1-1-111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111-1-1-1-1111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111
χ8111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1
χ9111111111111-1-1111111-1-1-1-1-11111-1-1111-11-11-1-1-111-1-111-1-111-1-1
χ10111111111111-1-1111111-1-1-1-1-11111-1-1-1-11-11-11-111-1-111-1-111-1-111
χ11111111111111-1-1111111-1-1-1-1-1-1-1-1-111111-1-11-11-1-111-1-1-1-111-1-111
χ12111111111111-1-1111111-1-1-1-1-1-1-1-1-111-1-11-1-11-1111-1-11111-1-111-1-1
χ13111111111111-1-11111-1-111-1-1-11111-1-111-11-11-11-1-1-1-11111-1-1-1-111
χ14111111111111-1-11111-1-111-1-1-11111-1-1-1-1-11-11-111111-1-1-1-11111-1-1
χ15111111111111-1-11111-1-111-1-1-1-1-1-1-11111-111-11-1-1-1-1-111-1-11111-1-1
χ16111111111111-1-11111-1-111-1-1-1-1-1-1-111-1-1-111-11-11111-1-111-1-1-1-111
χ1722222222222222-2-2-2-222222-2-200000000-2-2000000000000000000
χ1822222222222222-2-2-2-2-2-2-2-22-2-20000000022000000000000000000
χ19222222222222-2-2-2-2-2-222-2-2-22200000000-22000000000000000000
χ20222222222222-2-2-2-2-2-2-2-222-222000000002-2000000000000000000
χ2122222222-2-2-2-2222-2-220000-22-2000000000022-2-200000000000000
χ2222222222-2-2-2-2222-2-220000-22-20000000000-2-22200000000000000
χ2322222222-2-2-2-222-222-20000-2-2222-2-22-20000000000000000000000
χ2422222222-2-2-2-222-222-20000-2-22-2-222-220000000000000000000000
χ2522222222-2-2-2-2-2-22-2-2200002-2200000000002-2-2200000000000000
χ2622222222-2-2-2-2-2-22-2-2200002-220000000000-222-200000000000000
χ2722222222-2-2-2-2-2-2-222-2000022-222-2-2-220000000000000000000000
χ2822222222-2-2-2-2-2-2-222-2000022-2-2-2222-20000000000000000000000
χ2922-2-2-2-22222-2-20022-2-200000002-22-2002i−2i0000000000002i−2i000000
χ3022-2-2-2-22222-2-20022-2-200000002-22-200−2i2i000000000000−2i2i000000
χ3122-2-2-2-22222-2-20022-2-20000000-22-22002i−2i000000000000−2i2i000000
χ3222-2-2-2-22222-2-20022-2-20000000-22-2200−2i2i0000000000002i−2i000000
χ3322-2-2-2-222-2-22200-22-2200000002-2-2200000000002-20000002-20000
χ3422-2-2-2-222-2-22200-22-2200000002-2-220000000000-22000000-220000
χ3522-2-2-2-222-2-22200-22-220000000-222-200000000002-2000000-220000
χ3622-2-2-2-222-2-22200-22-220000000-222-20000000000-220000002-20000
χ37444-44-4-4-44-44-4000000004-40000000000000000000000000000000
χ38444-44-4-4-44-44-400000000-440000000000000000000000000000000
χ39444-44-4-4-4-44-440000004-4000000000000000000000000000000000
χ40444-44-4-4-4-44-44000000-44000000000000000000000000000000000
χ4144-44-44-4-44-4-4400000000000000000000000000000000000000022−22
χ4244-44-44-4-44-4-44000000000000000000000000000000000000000−2222
χ4344-44-44-4-4-444-4000000000000000000000000000000000000022−2200
χ4444-44-44-4-4-444-40000000000000000000000000000000000000−222200
χ4544-4-4-4-44444-4-400-4-44400000000000000000000000000000000000
χ4644-4-4-4-444-4-444004-44-400000000000000000000000000000000000
χ474-444-4-44-400004-40000000000000000000000000002i−2i2i−2i00000000
χ484-444-4-44-400004-4000000000000000000000000000−2i2i−2i2i00000000
χ494-444-4-44-40000-440000000000000000000000000002i−2i−2i2i00000000
χ504-444-4-44-40000-44000000000000000000000000000−2i2i2i−2i00000000
χ518-88-8-88-88000000000000000000000000000000000000000000000
χ528-8-888-8-88000000000000000000000000000000000000000000000
χ538-8-8-8888-8000000000000000000000000000000000000000000000

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