Finite Group Databasebeta

← Group #438238

Character table — Group #438238

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222222222222888888888888888888888888161616161616161616161616161616161616
order12222222222244444444444444444444444488888888444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111-1-1-1-11111-1-1-1-11-1-1-1111-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-11111-11-1-1-1-1-1111-1-1-1-1-1-111
χ5111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-11111-111-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11-1-11-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-111-1-1-111111-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1111-1111111-1-1
χ911111111111111111111-1-1-1-111-1-111-1-11111111111111-1-1-1-1-11-1-1-111-1-1-1-111
χ1011111111111111111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-11-1-111-111111-1-111-1-1
χ1111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1-1-1
χ1211111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1111111
χ1311111111111111111111-1-1-1-1-1-111-1-111111111111111-11-1-1-1-1-1-1-11-1-11111-1-1
χ1411111111111111111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11-1-1-111111-1-1-111-1-111
χ1511111111111111111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-111-111-1-11111
χ1611111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111111-1-1111-1-1-1-1-1-1
χ1722222222-2-2-2-2222-2-2-22-20000002200-2-20000000022-2-2020000000-200000000
χ1822222222-2-2-2-2222-2-2-22-20000002200-2-200000000-2-2220-20000000200000000
χ1922222222-2-2-2-2222-2-2-22-2000000-2-200220000000022-2-20-20000000200000000
χ2022222222-2-2-2-2222-2-2-22-2000000-2-2002200000000-2-222020000000-200000000
χ2122222222-2-2-2-2-2-2-2222-2200002200-2-200000022-2-20000200000-200000000000
χ2222222222-2-2-2-2-2-2-2222-2200002200-2-2000000-2-2220000-200000200000000000
χ2322222222-2-2-2-2-2-2-2222-220000-2-2002200000022-2-20000-200000200000000000
χ2422222222-2-2-2-2-2-2-2222-220000-2-20022000000-2-2220000200000-200000000000
χ25222-2-22-2-22-2-2222-222-2-2-222-2-20000000022-2-200000000002-200000000000000
χ26222-2-22-2-22-2-2222-222-2-2-222-2-200000000-2-2220000000000-2200000000000000
χ27222-2-22-2-22-2-2222-222-2-2-2-2-2220000000022-2-20000000000-2200000000000000
χ28222-2-22-2-22-2-2222-222-2-2-2-2-22200000000-2-22200000000002-200000000000000
χ292-2-22-222-222-2-22-222-2-2-2200002-2002-2002i−2i2i−2i0000000000000000002i−2i000000
χ302-2-22-222-222-2-22-222-2-2-2200002-2002-200−2i2i−2i2i000000000000000000−2i2i000000
χ312-2-22-222-222-2-22-222-2-2-220000-2200-22002i−2i2i−2i000000000000000000−2i2i000000
χ322-2-22-222-222-2-22-222-2-2-220000-2200-2200−2i2i−2i2i0000000000000000002i−2i000000
χ332-2-22-222-222-2-2-22-2-2222-22i−2i2i−2i00000000000000002-22-200000002i−2i000000000
χ342-2-22-222-222-2-2-22-2-2222-22i−2i2i−2i0000000000000000-22-220000000−2i2i000000000
χ352-2-22-222-222-2-2-22-2-2222-2−2i2i−2i2i00000000000000002-22-20000000−2i2i000000000
χ362-2-22-222-222-2-2-22-2-2222-2−2i2i−2i2i0000000000000000-22-2200000002i−2i000000000
χ372-2-22-222-2-2-222-22-22-2-22200002-200-2200000000002-2-2200000000000000002-2
χ382-2-22-222-2-2-222-22-22-2-22200002-200-220000000000-222-20000000000000000-22
χ392-2-22-222-2-2-222-22-22-2-2220000-22002-200000000002-2-220000000000000000-22
χ402-2-22-222-2-2-222-22-22-2-2220000-22002-20000000000-222-200000000000000002-2
χ412-2-2-222-222-22-22-2-22-222-20000002-2002-22i−2i−2i2i000000000000000000002i−2i0000
χ422-2-2-222-222-22-22-2-22-222-20000002-2002-2−2i2i2i−2i00000000000000000000−2i2i0000
χ432-2-2-222-222-22-22-2-22-222-2000000-2200-222i−2i−2i2i00000000000000000000−2i2i0000
χ442-2-2-222-222-22-22-2-22-222-2000000-2200-22−2i2i2i−2i000000000000000000002i−2i0000
χ452-2-2-222-222-22-2-222-22-2-222i−2i−2i2i0000000000002-22-2000000002i−2i000000000000
χ462-2-2-222-222-22-2-222-22-2-222i−2i−2i2i000000000000-22-2200000000−2i2i000000000000
χ472-2-2-222-222-22-2-222-22-2-22−2i2i2i−2i0000000000002-22-200000000−2i2i000000000000
χ482-2-2-222-222-22-2-222-22-2-22−2i2i2i−2i000000000000-22-22000000002i−2i000000000000
χ492-2-2-222-22-22-222-2-2-22-2220000002-200-2200002-2-220000000000000000002-200
χ502-2-2-222-22-22-222-2-2-22-2220000002-200-220000-222-2000000000000000000-2200
χ512-2-2-222-22-22-222-2-2-22-222000000-22002-200002-2-22000000000000000000-2200
χ522-2-2-222-22-22-222-2-2-22-222000000-22002-20000-222-20000000000000000002-200
χ53444444444444-4-4-4-4-4-4-4-4000000000000000000000000000000000000000000
χ54444-4-44-4-44-4-44-4-44-4-4444000000000000000000000000000000000000000000
χ55444-4-44-4-4-444-444-4-4-44-44000000000000000000000000000000000000000000
χ56444-4-44-4-4-444-4-4-4444-44-4000000000000000000000000000000000000000000
χ574-4-44-444-4-4-4444-44-444-4-4000000000000000000000000000000000000000000
χ584-4-4-444-44-44-44-4444-44-4-4000000000000000000000000000000000000000000
χ5988-88-8-8-88000000000000000000000000000000000000000000000000000000
χ6088-8-88-88-8000000000000000000000000000000000000000000000000000000
χ618-8888-8-8-8000000000000000000000000000000000000000000000000000000
χ628-88-8-8-888000000000000000000000000000000000000000000000000000000

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