Finite Group Databasebeta

← Group #241570

Character table — Group #241570

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222244444444444488888888161616161616161616161616161616161616161616161616
order12222222222244444444444422444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-1-1-1-1-11-11111-1-11-111-1-1-1-11111-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-11-1-1-111-1-11-1-1-11111-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1111-1-111-1111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-111-11-1-111111111-1-1-1-1
χ9111111111111-1-1-1-1-1-1-1-1111111-1-111-1-11-111-1-1111-1-1-111-1-111-1-111-1-1
χ10111111111111-1-1-1-1-1-1-1-1111111-1-111-1-11-1-1-1-1-1111-111-1-111-1-111-1-111
χ11111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-111111-1-1-11-1-111-1-1-1-111-1-111
χ12111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-11-1-111-1-1-1111-1-11111-1-111-1-1
χ13111111111111-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-111
χ14111111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1
χ15111111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1111111-1-1-1-1-1-111-1-11111-1-1
χ16111111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111-1-11111-1-111-1-1-1-111
χ172222222222222222-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000000000000
χ182222222222222222-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000000000000
χ19222222222222-2-2-2-22222-2-2-2-222-2-2-2-222000000000000000000000000
χ20222222222222-2-2-2-22222-2-2-2-2-2-22222-2-2000000000000000000000000
χ2122222222-2-2-2-222-2-222-2-222-2-2000000000200002-20-200000000000000
χ2222222222-2-2-2-222-2-222-2-222-2-2000000000-20000-220200000000000000
χ2322222222-2-2-2-222-2-2-2-222-2-2220000000020002-200-2000000000000000
χ2422222222-2-2-2-222-2-2-2-222-2-22200000000-2000-22002000000000000000
χ2522222222-2-2-2-2-2-22222-2-2-2-222000000002000-2200-2000000000000000
χ2622222222-2-2-2-2-2-22222-2-2-2-22200000000-20002-2002000000000000000
χ2722222222-2-2-2-2-2-222-2-22222-2-200000000020000-220-200000000000000
χ2822222222-2-2-2-2-2-222-2-22222-2-2000000000-200002-20200000000000000
χ292-2-22-222-22-22-22i−2i2i−2i2i−2i2i−2i2-22-200000000000000000000000000002-22i−2i
χ302-2-22-222-22-22-22i−2i2i−2i2i−2i2i−2i2-22-20000000000000000000000000000-22−2i2i
χ312-2-22-222-22-22-22i−2i2i−2i−2i2i−2i2i-22-220000000000000000000000002i−2i2-20000
χ322-2-22-222-22-22-22i−2i2i−2i−2i2i−2i2i-22-22000000000000000000000000−2i2i-220000
χ332-2-22-222-22-22-2−2i2i−2i2i2i−2i2i−2i-22-220000000000000000000000002i−2i-220000
χ342-2-22-222-22-22-2−2i2i−2i2i2i−2i2i−2i-22-22000000000000000000000000−2i2i2-20000
χ352-2-22-222-22-22-2−2i2i−2i2i−2i2i−2i2i2-22-200000000000000000000000000002-2−2i2i
χ362-2-22-222-22-22-2−2i2i−2i2i−2i2i−2i2i2-22-20000000000000000000000000000-222i−2i
χ372-2-22-222-2-22-222i−2i−2i2i2i−2i−2i2i2-2-2200000000002-20000002i−2i000000000000
χ382-2-22-222-2-22-222i−2i−2i2i2i−2i−2i2i2-2-220000000000-22000000−2i2i000000000000
χ392-2-22-222-2-22-222i−2i−2i2i−2i2i2i−2i-222-2000000000000000000002-22i−2i00000000
χ402-2-22-222-2-22-222i−2i−2i2i−2i2i2i−2i-222-200000000000000000000-22−2i2i00000000
χ412-2-22-222-2-22-22−2i2i2i−2i2i−2i−2i2i-222-2000000000000000000002-2−2i2i00000000
χ422-2-22-222-2-22-22−2i2i2i−2i2i−2i−2i2i-222-200000000000000000000-222i−2i00000000
χ432-2-22-222-2-22-22−2i2i2i−2i−2i2i2i−2i2-2-2200000000002-2000000−2i2i000000000000
χ442-2-22-222-2-22-22−2i2i2i−2i−2i2i2i−2i2-2-220000000000-220000002i−2i000000000000
χ454444-4-4-4-44-4-440000000000004-4000000000000000000000000000000
χ464444-4-4-4-44-4-44000000000000-44000000000000000000000000000000
χ474444-4-4-4-4-444-4000000000000004-40000000000000000000000000000
χ484444-4-4-4-4-444-400000000000000-440000000000000000000000000000
χ494-4-444-4-4444-4-400000000000000004i−4i00000000000000000000000000
χ504-4-444-4-4444-4-40000000000000000−4i4i00000000000000000000000000
χ514-4-444-4-44-4-4440000000000000000004-4000000000000000000000000
χ524-4-444-4-44-4-444000000000000000000-44000000000000000000000000
χ5388-8-888-8-8000000000000000000000000000000000000000000000000
χ5488-8-8-8-888000000000000000000000000000000000000000000000000
χ558-88-88-88-8000000000000000000000000000000000000000000000000
χ568-88-8-88-88000000000000000000000000000000000000000000000000

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