Finite Group Databasebeta

← Group #476257

Character table — Group #476257

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222222222222888888888888161616161616161616161616161616161616161616161616
order12222222222244444444444488888888222444444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-1
χ311111111111111111111111111111111-1-1111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111
χ411111111111111111111111111111111-1-1-1-1-1111111-1-1-111-1-1-1-1-1-1-1-1
χ5111111111111111111111111-1-1-1-1-1-1-1-11-11-1-11111-1-11-11-1-111-1-111-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-1111-1-11111-1-1-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-11111-1-11111-1-1
χ8111111111111111111111111-1-1-1-1-1-1-1-1-11-1111111-1-1-11-1-1-1-1-111-1-111
χ911111111111111111111-1-1-1-11111-1-1-1-1111-1-111-1-111111-1-1-1-1-1-1-1-111
χ1011111111111111111111-1-1-1-11111-1-1-1-111-111-1-111-1-111-111-1-1-1-111-1-1
χ1111111111111111111111-1-1-1-11111-1-1-1-1-1-11-1-1-1-111-1-1-1-11111111-1-111
χ1211111111111111111111-1-1-1-11111-1-1-1-1-1-1-11111-1-111-1-1-1-1-1111111-1-1
χ1311111111111111111111-1-1-1-1-1-1-1-111111-111111-1-1-1-11-1111-1-111-1-1-1-1
χ1411111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-111111-1-1-1-1-1-1111111
χ1511111111111111111111-1-1-1-1-1-1-1-11111-11111-1-11111-111-1-111-1-1-1-1-1-1
χ1611111111111111111111-1-1-1-1-1-1-1-11111-11-1-1-111-1-1-1-1-11-11111-1-11111
χ1722222222-2-2-2-22-2222-2-2-20000000022-2-20022-200000000-20000000000
χ1822222222-2-2-2-22-2222-2-2-20000000022-2-200-2-220000000020000000000
χ1922222222-2-2-2-22-2222-2-2-200000000-2-222002-2200000000-20000000000
χ2022222222-2-2-2-22-2222-2-2-200000000-2-22200-22-20000000020000000000
χ2122222222-2-2-2-2-22-2-2-2222000022-2-2000022000000000-2-200000000000
χ2222222222-2-2-2-2-22-2-2-2222000022-2-20000-2-20000000002200000000000
χ2322222222-2-2-2-2-22-2-2-22220000-2-22200002-2000000000-2200000000000
χ2422222222-2-2-2-2-22-2-2-22220000-2-2220000-220000000002-200000000000
χ2522-2-2-22-2222-2-2222-2-22-2-22i2i−2i−2i00000000000002-22i−2i000000000000000
χ2622-2-2-22-2222-2-2222-2-22-2-22i2i−2i−2i0000000000000-22−2i2i000000000000000
χ2722-2-2-22-2222-2-2222-2-22-2-2−2i−2i2i2i00000000000002-2−2i2i000000000000000
χ2822-2-2-22-2222-2-2222-2-22-2-2−2i−2i2i2i0000000000000-222i−2i000000000000000
χ292-22-2-2-2222-2-22-2-222-222-20000000000000000000002-200000002-22-200
χ302-22-2-2-2222-2-22-2-222-222-20000000000000000000002-20000000-22-2200
χ312-22-2-2-2222-2-22-2-222-222-2000000000000000000000-2200000002-2-2200
χ322-22-2-2-2222-2-22-2-222-222-2000000000000000000000-220000000-222-200
χ332-2-222-2-222-22-222-22-2-22-2000000000000000000000000002-22i−2i00002i−2i
χ342-2-222-2-222-22-222-22-2-22-2000000000000000000000000002-2−2i2i0000−2i2i
χ352-2-222-2-222-22-222-22-2-22-200000000000000000000000000-222i−2i0000−2i2i
χ362-2-222-2-222-22-222-22-2-22-200000000000000000000000000-22−2i2i00002i−2i
χ37444444444444-4-4-4-4-4-4-4-4000000000000000000000000000000000000
χ384444-4-4-4-40000000000002-22-222−22000022−22000000000000000000000000
χ394444-4-4-4-40000000000002-22-2−22220000−2222000000000000000000000000
χ404444-4-4-4-4000000000000-22-2222−220000−2222000000000000000000000000
χ414444-4-4-4-4000000000000-22-22−2222000022−22000000000000000000000000
χ4244-4-44-44-40000000000002i−2i−2i2i002i2−2i222−2200000000000000000000000000
χ4344-4-44-44-40000000000002i−2i−2i2i00−2i22i2−222200000000000000000000000000
χ4444-4-44-44-4000000000000−2i2i2i−2i002i2−2i2−222200000000000000000000000000
χ4544-4-44-44-4000000000000−2i2i2i−2i00−2i22i222−2200000000000000000000000000
χ4644-4-4-44-4444-4-4-4-4-444-444000000000000000000000000000000000000
χ4744-4-4-44-44-4-4444-44-4-4-444000000000000000000000000000000000000
χ4844-4-4-44-44-4-444-44-4444-4-4000000000000000000000000000000000000
χ494-44-4-4-4444-4-4444-4-44-4-44000000000000000000000000000000000000
χ504-44-4-4-444-444-44-4-4-4444-4000000000000000000000000000000000000
χ514-44-4-4-444-444-4-4444-4-4-44000000000000000000000000000000000000
χ524-4-444-4-444-44-4-4-44-444-44000000000000000000000000000000000000
χ534-4-444-4-44-44-444-4-44-44-44000000000000000000000000000000000000
χ544-4-444-4-44-44-44-444-44-44-4000000000000000000000000000000000000
χ558-88-888-8-8000000000000000000000000000000000000000000000000
χ568-8-88-888-8000000000000000000000000000000000000000000000000

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