Finite Group Databasebeta

← Group #476604

Character table — Group #476604

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222222222222888888888888161616161616161616161616161616161616161616161616
order12222222222244444444444488888888222444444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-111-1-1-1-111-111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11-1-1111-1-1-1-111
χ411111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ5111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-111-1-111-1-1-11-1-111-1-111
χ6111111111111111111111111-1-1-1-1-1-1-1-111-11-1-1-1-111111-1-1-111-1-111-1-1
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1111-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1111-11111-1-1-1-1
χ911111111111111111111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111-1-1
χ1011111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-111-11111-1-111
χ1111111111111111111111-1-1-1-11111-1-1-1-1-1-11111-1-111111-1-11-1-111-1-1-1-1
χ1211111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-11111
χ1311111111111111111111-1-1-1-1-1-1-1-11111111-1111111-1-1-1-1-1111-1-1-1-1-1-1
χ1411111111111111111111-1-1-1-1-1-1-1-1111111-1111-1-1-1-1-1-11-1-1-1-1-1111111
χ1511111111111111111111-1-1-1-1-1-1-1-11111-1-11-1-1-1-1-1-1-111-1111111111-1-1
χ1611111111111111111111-1-1-1-1-1-1-1-11111-1-1-11-1-1111111111-1-1-1-1-1-1-111
χ1722222222-2-2-2-222-22-2-2-220000000022-2-20000002-22-200000000000000
χ1822222222-2-2-2-222-22-2-2-220000000022-2-2000000-22-2200000000000000
χ1922222222-2-2-2-222-22-2-2-2200000000-2-2220000002-2-2200000000000000
χ2022222222-2-2-2-222-22-2-2-2200000000-2-222000000-222-200000000000000
χ2122222222-2-2-2-2-2-22-2222-2000022-2-20000002200000000-200-200000000
χ2222222222-2-2-2-2-2-22-2222-2000022-2-2000000-2-200000000200200000000
χ2322222222-2-2-2-2-2-22-2222-20000-2-2220000002-200000000200-200000000
χ2422222222-2-2-2-2-2-22-2222-20000-2-222000000-2200000000-200200000000
χ2522-22-2-2-222-2-2222-2-222-2-200000000000000000000000002-202i−2i2i−2i0000
χ2622-22-2-2-222-2-2222-2-222-2-200000000000000000000000002-20−2i2i−2i2i0000
χ2722-22-2-2-222-2-2222-2-222-2-20000000000000000000000000-2202i−2i−2i2i0000
χ2822-22-2-2-222-2-2222-2-222-2-20000000000000000000000000-220−2i2i2i−2i0000
χ292-22-2-2-22222-2-22-2222-2-2-200000000000000002i−2i000000000000002-22i−2i
χ302-22-2-2-22222-2-22-2222-2-2-200000000000000002i−2i00000000000000-22−2i2i
χ312-22-2-2-22222-2-22-2222-2-2-20000000000000000−2i2i000000000000002-2−2i2i
χ322-22-2-2-22222-2-22-2222-2-2-20000000000000000−2i2i00000000000000-222i−2i
χ332-2-2-222-222-22-2-2222-22-2-22i2i−2i−2i000000002-2000000002i−2i000000000000
χ342-2-2-222-222-22-2-2222-22-2-22i2i−2i−2i00000000-2200000000−2i2i000000000000
χ352-2-2-222-222-22-2-2222-22-2-2−2i−2i2i2i000000002-200000000−2i2i000000000000
χ362-2-2-222-222-22-2-2222-22-2-2−2i−2i2i2i00000000-22000000002i−2i000000000000
χ37444444444444-4-4-4-4-4-4-4-4000000000000000000000000000000000000
χ3844-44-4-4-444-4-44-4-444-4-444000000000000000000000000000000000000
χ3944-44-4-4-44-444-4444-4-4-44-4000000000000000000000000000000000000
χ4044-44-4-4-44-444-4-4-4-4444-44000000000000000000000000000000000000
χ4144-4-44-44-40000000000002-22-22i2−2i200002i2−2i2000000000000000000000000
χ4244-4-44-44-40000000000002-22-2−2i22i20000−2i22i2000000000000000000000000
χ4344-4-44-44-4000000000000-22-222i2−2i20000−2i22i2000000000000000000000000
χ4444-4-44-44-4000000000000-22-22−2i22i200002i2−2i2000000000000000000000000
χ454-4444-4-4-40000000000002i−2i−2i2i002i2−2i222−2200000000000000000000000000
χ464-4444-4-4-40000000000002i−2i−2i2i00−2i22i2−222200000000000000000000000000
χ474-4444-4-4-4000000000000−2i2i2i−2i002i2−2i2−222200000000000000000000000000
χ484-4444-4-4-4000000000000−2i2i2i−2i00−2i22i222−2200000000000000000000000000
χ494-44-4-4-44444-4-4-44-4-4-4444000000000000000000000000000000000000
χ504-44-4-4-444-4-4444-4-44-444-4000000000000000000000000000000000000
χ514-44-4-4-444-4-444-444-44-4-44000000000000000000000000000000000000
χ524-4-4-444-444-44-44-4-4-44-444000000000000000000000000000000000000
χ534-4-4-444-44-44-444-44-4-44-44000000000000000000000000000000000000
χ544-4-4-444-44-44-44-44-444-44-4000000000000000000000000000000000000
χ55888-8-88-8-8000000000000000000000000000000000000000000000000
χ568-8-88-888-8000000000000000000000000000000000000000000000000

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