Finite Group Databasebeta

← Group #476434

Character table — Group #476434

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222222222222888888888888161616161616161616161616161616161616161616161616
order12222222222244444444444488888888224444444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-11-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111-11-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111
χ411111111111111111111111111111111-1-1-111-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ5111111111111111111111111-1-1-1-1-1-1-1-111-1-1-11-11-1-11111-1-1-1-11111-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-11-1-1111-1-111-1-1-1-111-1-111-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-11111-1-111-1-1
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-11-1111111-1-111-1-1-1-111
χ911111111111111111111-1-1-1-11111-1-1-1-1111-1-1111-1-111-1-111-1-1-1-1-1-111
χ1011111111111111111111-1-1-1-11111-1-1-1-11-111111-111-1-111-1-1-1-1-1-111-1-1
χ1111111111111111111111-1-1-1-11111-1-1-1-1-11-111-1-11-1-1-1-111-1-11111-1-111
χ1211111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1
χ1311111111111111111111-1-1-1-1-1-1-1-1111111-1111-111111-1-1-1-111-1-1-1-1-1-1
χ1411111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-11-1-1-1-1-1-1111111-1-11111
χ1511111111111111111111-1-1-1-1-1-1-1-11111-111-1-1-11111-1-11111-1-111-1-1-1-1
χ1611111111111111111111-1-1-1-1-1-1-1-11111-1-1111-11-1-1-111-1-1-1-1-1-1111111
χ1722222222-2-2-2-222-2-22-22-20000000022-2-20200000-22-200000000000000
χ1822222222-2-2-2-222-2-22-22-20000000022-2-20-2000002-2200000000000000
χ1922222222-2-2-2-222-2-22-22-200000000-2-2220200000-2-2200000000000000
χ2022222222-2-2-2-222-2-22-22-200000000-2-2220-20000022-200000000000000
χ2122222222-2-2-2-2-2-222-22-22000022-2-2000020200-2-200000000000000000
χ2222222222-2-2-2-2-2-222-22-22000022-2-20000-20-2002200000000000000000
χ2322222222-2-2-2-2-2-222-22-220000-2-222000020-200-2200000000000000000
χ2422222222-2-2-2-2-2-222-22-220000-2-2220000-202002-200000000000000000
χ2522-222-2-2-222-2-2-2-22-2222-2000000000000000000000000002i−2i2-2002i−2i00
χ2622-222-2-2-222-2-2-2-22-2222-2000000000000000000000000002i−2i-2200−2i2i00
χ2722-222-2-2-222-2-2-2-22-2222-200000000000000000000000000−2i2i2-200−2i2i00
χ2822-222-2-2-222-2-2-2-22-2222-200000000000000000000000000−2i2i-22002i−2i00
χ292-22-222-2-22-2-222-222-2-22-20000000000000002i−2i00000000000002-2002i−2i
χ302-22-222-2-22-2-222-222-2-22-20000000000000002i−2i0000000000000-2200−2i2i
χ312-22-222-2-22-2-222-222-2-22-2000000000000000−2i2i00000000000002-200−2i2i
χ322-22-222-2-22-2-222-222-2-22-2000000000000000−2i2i0000000000000-22002i−2i
χ332-2-2-22-2222-22-22-2-2222-2-22i2i−2i−2i0000000000000000002-22i−2i0000000000
χ342-2-2-22-2222-22-22-2-2222-2-22i2i−2i−2i000000000000000000-22−2i2i0000000000
χ352-2-2-22-2222-22-22-2-2222-2-2−2i−2i2i2i0000000000000000002-2−2i2i0000000000
χ362-2-2-22-2222-22-22-2-2222-2-2−2i−2i2i2i000000000000000000-222i−2i0000000000
χ37444444444444-4-4-4-4-4-4-4-4000000000000000000000000000000000000
χ3844-444-4-4-444-4-444-44-4-4-44000000000000000000000000000000000000
χ3944-444-4-4-4-4-444444-4-44-4-4000000000000000000000000000000000000
χ4044-444-4-4-4-4-444-4-4-444-444000000000000000000000000000000000000
χ4144-4-4-444-40000000000002-22-22i2−2i200002i2−2i2000000000000000000000000
χ4244-4-4-444-40000000000002-22-2−2i22i20000−2i22i2000000000000000000000000
χ4344-4-4-444-4000000000000-22-222i2−2i20000−2i22i2000000000000000000000000
χ4444-4-4-444-4000000000000-22-22−2i22i200002i2−2i2000000000000000000000000
χ454-444-4-44-40000000000002i−2i−2i2i002i2−2i222−2200000000000000000000000000
χ464-444-4-44-40000000000002i−2i−2i2i00−2i22i2−222200000000000000000000000000
χ474-444-4-44-4000000000000−2i2i2i−2i002i2−2i2−222200000000000000000000000000
χ484-444-4-44-4000000000000−2i2i2i−2i00−2i22i222−2200000000000000000000000000
χ494-44-444-4-44-4-44-44-4-444-44000000000000000000000000000000000000
χ504-44-444-4-4-444-44-4-4-4-4444000000000000000000000000000000000000
χ514-44-444-4-4-444-4-44444-4-4-4000000000000000000000000000000000000
χ524-4-4-44-4444-44-4-444-4-4-444000000000000000000000000000000000000
χ534-4-4-44-444-44-444-44-44-4-44000000000000000000000000000000000000
χ544-4-4-44-444-44-44-44-44-444-4000000000000000000000000000000000000
χ55888-8-8-8-88000000000000000000000000000000000000000000000000
χ568-8-88-88-88000000000000000000000000000000000000000000000000

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