Finite Group Databasebeta

← Group #293421

Character table — Group #293421

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111222244444488888888888161616161616161616161616161616161616161616161616
order12222222222244444422444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-111-1-1111-11-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111-1-111-1-1111-11-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-11111111-1-1-1-1-11-1-1-111111-1-1-1-1-1-1-1-11111
χ6111111111111111111-1-11111111-1-1-1-1-11-1-1-11-1-1-1-111111111-1-1-1-1
χ7111111111111111111-1-11-1-111-1-1-1-1-11-1-1111-11111-1-1-1-11111-1-1-1-1
χ8111111111111111111-1-11-1-111-1-1-1-1-11-1-1111-1-1-1-1-11111-1-1-1-11111
χ9111111111111-1-1111111-111-1-111-1-1-1-11-11-11-111-1-111-1-111-1-111-1-1
χ10111111111111-1-1111111-111-1-111-1-1-1-11-11-11-1-1-111-1-111-1-111-1-111
χ11111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1111-11-1111-1-111-1-1-1-111-1-111
χ12111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1111-11-11-1-111-1-11111-1-111-1-1
χ13111111111111-1-11111-1-1-111-1-1111111-1-1-11-1-111-1-1-1-111-1-11111-1-1
χ14111111111111-1-11111-1-1-111-1-1111111-1-1-11-1-1-1-11111-1-111-1-1-1-111
χ15111111111111-1-11111-1-1-1-1-1-1-1-1-1111-1-111-11111-1-1-1-11111-1-1-1-111
χ16111111111111-1-11111-1-1-1-1-1-1-1-1-1111-1-111-111-1-11111-1-1-1-11111-1-1
χ1722222222222222-2-2-2-222200-2-20022-20-2000000000000000000000
χ1822222222222222-2-2-2-2-2-2200-2-200-2-2202000000000000000000000
χ19222222222222-2-2-2-2-2-222-2002200-2-220-2000000000000000000000
χ20222222222222-2-2-2-2-2-2-2-2-200220022-202000000000000000000000
χ2122222222-2-2-2-2222-2-2200-2222-2-2-2000002000-20000000000000000
χ2222222222-2-2-2-2222-2-2200-2-2-22-22200000-200020000000000000000
χ2322222222-2-2-2-222-222-200-200-22000002002-2-200000000000000000
χ2422222222-2-2-2-222-222-200-200-2200000-200-22200000000000000000
χ2522222222-2-2-2-2-2-22-2-2200222-22-2-200000-200020000000000000000
χ2622222222-2-2-2-2-2-22-2-22002-2-2-2222000002000-20000000000000000
χ2722222222-2-2-2-2-2-2-222-2002002-200000200-2-2200000000000000000
χ2822222222-2-2-2-2-2-2-222-2002002-200000-20022-200000000000000000
χ2922-22-2-2-222-22-20022-2-20002i−2i002i−2i00000000000000002-2002i−2i0000
χ3022-22-2-2-222-22-20022-2-20002i−2i002i−2i0000000000000000-2200−2i2i0000
χ3122-22-2-2-222-22-20022-2-2000−2i2i00−2i2i00000000000000002-200−2i2i0000
χ3222-22-2-2-222-22-20022-2-2000−2i2i00−2i2i0000000000000000-22002i−2i0000
χ3322-22-2-2-22-22-22002-22-20002i−2i00−2i2i000000000000002-2002i−2i000000
χ3422-22-2-2-22-22-22002-22-20002i−2i00−2i2i00000000000000-2200−2i2i000000
χ3522-22-2-2-22-22-22002-22-2000−2i2i002i−2i000000000000002-200−2i2i000000
χ3622-22-2-2-22-22-22002-22-2000−2i2i002i−2i00000000000000-22002i−2i000000
χ37444-44-4-4-44-4-4400000000000000000000000000000000000000022−22
χ38444-44-4-4-44-4-44000000000000000000000000000000000000000−2222
χ39444-44-4-4-4-444-4000000000000000000000000000000000000022−2200
χ40444-44-4-4-4-444-40000000000000000000000000000000000000−222200
χ4144-44-4-4-444-44-400-4-44400000000000000000000000000000000000
χ4244-44-4-4-44-44-4400-44-4400000000000000000000000000000000000
χ4344-4-4-444-444-4-40000004-4000000000000000000000000000000000
χ4444-4-4-444-444-4-4000000-44000000000000000000000000000000000
χ4544-4-4-444-4-4-4440000000000000004i−4i000000000000000000000000
χ4644-4-4-444-4-4-444000000000000000−4i4i000000000000000000000000
χ474-4-4-44-44400004-4000000000000000000000002-22-2000000000000
χ484-4-4-44-44400004-400000000000000000000000-22-22000000000000
χ494-4-4-44-4440000-44000000000000000000000002-2-22000000000000
χ504-4-4-44-4440000-4400000000000000000000000-222-2000000000000
χ518-888-8-88-8000000000000000000000000000000000000000000000
χ528-88-8-88-88000000000000000000000000000000000000000000000
χ538-8-8888-8-8000000000000000000000000000000000000000000000

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