Finite Group Databasebeta

← Group #291361

Character table — Group #291361

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size1111111144444444444488888888888881616161616161616161616161616161616163232
order12222222224444444444444448888888822444444448888888824
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-11-1-1-1-1-11-1-1-1-1-11111-1-1
χ31111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11-11111-1-1-1-111
χ5111111111111111111111-1-1-1-1111111111-1-111-11-1-1-11111-1-1-1-1-1-1
χ6111111111111111111111-1-1-1-111111111-11-1-1-11-11-11-1-1-1-1-1-1-1-111
χ7111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-11-1-1-1-1-1-1-1111111
χ8111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11-11-1111111111-1-1
χ911111111-1-111-1-1-1-11111-111111111-1-1-1-11-1-11-1-1-11-1111-1-111-1-11-1
χ1011111111-1-111-1-1-1-11111-111111111-1-1-1-1-11-1-1111-1-1-1-1-11111-1-1-11
χ1111111111-1-111-1-1-1-11111-11111-1-1-1-111111-1-11-1-1-11-11-1-111-1-111-11
χ1211111111-1-111-1-1-1-11111-11111-1-1-1-11111-11-1-1111-1-1-111-1-1-1-1111-1
χ1311111111-1-111-1-1-1-11111-1-1-1-1-11111-1-1-1-11111-11-1-11-111-1-1-1-111-11
χ1411111111-1-111-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1-11-11-11111-1-111-1-1111-1
χ1511111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-111111111-11-1-11-1-1-11111-1-11-1
χ1611111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-11-11-1111111-1-111-1-1-11
χ1722222222222-222-2-2-2-22-2-200000000000002000-20-2020000000000
χ1822222222222-222-2-2-2-22-2-20000000000000-20002020-20000000000
χ192222222222-22-2-222-2-2-22-2000000000000200-2-2020000000000000
χ202222222222-22-2-222-2-2-22-2000000000000-200220-20000000000000
χ212222222222-2-2-2-2-2-222-2-2222-2-20000000000200000-200000000000
χ222222222222-2-2-2-2-2-222-2-22-2-2220000000000-200000200000000000
χ2322222222-2-22-2-2-222-2-22-2200000000000002000-2020-20000000000
χ2422222222-2-22-2-2-222-2-22-220000000000000-200020-2020000000000
χ2522222222-2-2-2222-2-2-2-2-222000000000000200-220-20000000000000
χ2622222222-2-2-2222-2-2-2-2-222000000000000-2002-2020000000000000
χ2722222222-2-2-2-2222222-2-2-222-2-20000000000-200000200000000000
χ2822222222-2-2-2-2222222-2-2-2-2-2220000000000200000-200000000000
χ2922-222-2-2-2002-200002-2-2202i−2i2i−2i2i2i−2i−2i0000000000000000002-20000
χ3022-222-2-2-2002-200002-2-2202i−2i2i−2i−2i−2i2i2i000000000000000000-220000
χ3122-222-2-2-2002-200002-2-220−2i2i−2i2i2i2i−2i−2i000000000000000000-220000
χ3222-222-2-2-2002-200002-2-220−2i2i−2i2i−2i−2i2i2i0000000000000000002-20000
χ3322-222-2-2-200-2200002-22-202i−2i−2i2i000022-2-200000000000000002i−2i00
χ3422-222-2-2-200-2200002-22-202i−2i−2i2i0000-2-2220000000000000000−2i2i00
χ3522-222-2-2-200-2200002-22-20−2i2i2i−2i000022-2-20000000000000000−2i2i00
χ3622-222-2-2-200-2200002-22-20−2i2i2i−2i0000-2-22200000000000000002i−2i00
χ37444-4-4-44-400004i−4i000000000000000000000000000002-22i−2i000000
χ38444-4-4-44-400004i−4i00000000000000000000000000000-22−2i2i000000
χ39444-4-4-44-40000−4i4i000000000000000000000000000002-2−2i2i000000
χ40444-4-4-44-40000−4i4i00000000000000000000000000000-222i−2i000000
χ4144-444-4-4-400440000-44-4-4000000000000000000000000000000000
χ4244-444-4-4-400-4-40000-4444000000000000000000000000000000000
χ434-444-44-4-40000004i−4i0000000002i−2i2i−2i2-22-200000000000000000000
χ444-444-44-4-40000004i−4i000000000−2i2i−2i2i-22-2200000000000000000000
χ454-444-44-4-4000000−4i4i0000000002i−2i2i−2i-22-2200000000000000000000
χ464-444-44-4-4000000−4i4i000000000−2i2i−2i2i2-22-200000000000000000000
χ474-4-44-4-4444-40000000000000002-2-222-2-2200000000000000000000
χ484-4-44-4-4444-4000000000000000-222-2-222-200000000000000000000
χ494-4-44-4-444-440000000000000002-2-22-222-200000000000000000000
χ504-4-44-4-444-44000000000000000-222-22-2-2200000000000000000000
χ5188-8-8-88-88000000000000000000000000000000000000000000000
χ528-88-88-8-88000000000000000000000000000000000000000000000
χ538-8-8-8888-8000000000000000000000000000000000000000000000

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