Finite Group Databasebeta

← Group #238494

Character table — Group #238494

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222244444444444488888888161616161616161616161616161616161616161616161616
order12222222222222224444444488888888244444444444444444448888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-11-1-1-1-1-1-11-1-11111-1-1-1-1
χ311111111111111111111111111111111-1-111-1-1-11111-1-1-111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-1-1-1-1-11111-1-11-1-111-1-11-1-1-1-1-1-11111
χ6111111111111111111111111-1-1-1-1-1-1-1-111-1-111111-1-111111-1-1-1-1-1-1-1-1
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-11111-1-1-1-1
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111111111
χ9111111111111-1-1-1-111-1-1-1-1111111-1-1-1-111111-1-11-1-1-11-1-11-111-1-111-1-1
χ10111111111111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-11-1-1111-11-1-1111-1-1-1-111
χ11111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1111-1-1-1-1111-1-1-111-1-111
χ12111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11-11-11111-11-11-1-11111-1-1
χ13111111111111-1-1-1-111-1-1-1-111-1-1-1-111111111-11-1-11-1-1-11-1-11-1-11111-1-1
χ14111111111111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-11-1-11-1111-1-11-1-1-111-1-111
χ15111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1111-11-11-1-11-11-1111-1-1-1-111
χ16111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1111-111-1111-111-1-111-1-1
χ172222222222222222-2-2-2-2-2-2-2-20000000000002-200000-2200000000000
χ182222222222222222-2-2-2-2-2-2-2-2000000000000-22000002-200000000000
χ19222222222222-2-2-2-2-2-22222-2-20000000000002200000-2-200000000000
χ20222222222222-2-2-2-2-2-22222-2-2000000000000-2-2000002200000000000
χ2122222222-2-2-2-222-2-22-222-2-22-20000000000000002200000-2-200000000
χ2222222222-2-2-2-222-2-22-222-2-22-2000000000000000-2-2000002200000000
χ2322222222-2-2-2-222-2-2-22-2-222-22000000002-200002000000-20000000000
χ2422222222-2-2-2-222-2-2-22-2-222-2200000000-220000-200000020000000000
χ2522222222-2-2-2-2-2-2222-2-2-2222-20000000000000002-200000-2200000000
χ2622222222-2-2-2-2-2-2222-2-2-2222-2000000000000000-22000002-200000000
χ2722222222-2-2-2-2-2-222-2222-2-2-22000000002-20000-200000020000000000
χ2822222222-2-2-2-2-2-222-2222-2-2-2200000000-2200002000000-20000000000
χ292-22-2-22-2222-2-22-22-22-22-22-2-222i2i−2i−2i2i2i−2i−2i000000000000000000000000
χ302-22-2-22-2222-2-22-22-22-22-22-2-22−2i−2i2i2i−2i−2i2i2i000000000000000000000000
χ312-22-2-22-2222-2-22-22-2-22-22-222-200000000000000000000000000002i−2i2i−2i
χ322-22-2-22-2222-2-22-22-2-22-22-222-20000000000000000000000000000−2i2i−2i2i
χ332-22-2-22-2222-2-2-22-222-2-22-22-222i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ342-22-2-22-2222-2-2-22-222-2-22-22-22−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ352-22-2-22-2222-2-2-22-22-222-22-22-200000000000000000000000000002i−2i−2i2i
χ362-22-2-22-2222-2-2-22-22-222-22-22-20000000000000000000000000000−2i2i2i−2i
χ372-22-2-22-22-2-2222-2-22222-2-22-2-200000000002i−2i000002i−2i0000000000000
χ382-22-2-22-22-2-2222-2-22222-2-22-2-20000000000−2i2i00000−2i2i0000000000000
χ392-22-2-22-22-2-2222-2-22-2-2-222-2220000000000000000000000002-22-20000
χ402-22-2-22-22-2-2222-2-22-2-2-222-222000000000000000000000000-22-220000
χ412-22-2-22-22-2-222-222-222-222-2-2-200000000002i−2i00000−2i2i0000000000000
χ422-22-2-22-22-2-222-222-222-222-2-2-20000000000−2i2i000002i−2i0000000000000
χ432-22-2-22-22-2-222-222-2-2-22-2-22220000000000000000000000002-2-220000
χ442-22-2-22-22-2-222-222-2-2-22-2-2222000000000000000000000000-222-20000
χ454444-4-4-4-44-44-4000000000000000022−2222−22000000000000000000000000
χ464444-4-4-4-44-44-40000000000000000−2222−2222000000000000000000000000
χ474444-4-4-4-4-44-4400000000000022−2222−220000000000000000000000000000
χ484444-4-4-4-4-44-44000000000000−2222−22220000000000000000000000000000
χ494-44-44-44-44-4-4400000000000000002i2−2i2−2i22i2000000000000000000000000
χ504-44-44-44-44-4-440000000000000000−2i22i22i2−2i2000000000000000000000000
χ514-44-44-44-4-444-40000000000002i2−2i2−2i22i20000000000000000000000000000
χ524-44-44-44-4-444-4000000000000−2i22i22i2−2i20000000000000000000000000000
χ5388-8-888-8-8000000000000000000000000000000000000000000000000
χ5488-8-8-8-888000000000000000000000000000000000000000000000000
χ558-8-888-8-88000000000000000000000000000000000000000000000000
χ568-8-88-888-8000000000000000000000000000000000000000000000000

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