Finite Group Databasebeta

← Group #239291

Character table — Group #239291

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222244444444444488888888161616161616161616161616161616161616161616161616
order12224444224422444444444488888888222444444444888888888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-111-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ5111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-111-1-1-111-11111-1-1-1-1-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-11-1-1-1-1-1-11111-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ9111111111111-1-111-1-1-1-1-1-1111111-1-1-1-11-11-1-11-1111-1-11-111-1-11-111-1-1
χ10111111111111-1-111-1-1-1-1-1-1111111-1-1-1-11-1-1111-1-1-1-111-1111-1-1-11-1-111
χ11111111111111-1-111-1-1-1-1-1-1111111-1-1-1-1-111-1-1-11111-1-1-11-1-111-11-1-111
χ12111111111111-1-111-1-1-1-1-1-1111111-1-1-1-1-11-111-11-1-1-1111-1-1-1111-111-1-1
χ13111111111111-1-111-1-1-1-1-1-111-1-1-1-111111-11-1-11-11-1-1111-1-1-1111-1-1-111
χ14111111111111-1-111-1-1-1-1-1-111-1-1-1-111111-1-1111-1-111-1-1-11-1-111-1111-1-1
χ15111111111111-1-111-1-1-1-1-1-111-1-1-1-11111-111-1-1-111-1-111-1111-1-1-1111-1-1
χ16111111111111-1-111-1-1-1-1-1-111-1-1-1-11111-11-111-11-111-1-11-111-1-11-1-1-111
χ1722222222222222-2-2-2-2-2-222-2-2000000000000000000002-20000-220000
χ1822222222222222-2-2-2-2-2-222-2-200000000000000000000-2200002-20000
χ19222222222222-2-2-2-22222-2-2-2-200000000000000000000220000-2-20000
χ20222222222222-2-2-2-22222-2-2-2-200000000000000000000-2-20000220000
χ2122222222-2-2-2-22-22-222-2-22-22-200000000000000000000000000002i−2i2i−2i
χ2222222222-2-2-2-22-22-222-2-22-22-20000000000000000000000000000−2i2i−2i2i
χ2322222222-2-2-2-22-2-22-2-2222-2-222i2i−2i−2i2i2i−2i−2i000000000000000000000000
χ2422222222-2-2-2-22-2-22-2-2222-2-22−2i−2i2i2i−2i−2i2i2i000000000000000000000000
χ2522222222-2-2-2-2-222-2-2-222-222-200000000000000000000000000002i−2i−2i2i
χ2622222222-2-2-2-2-222-2-2-222-222-20000000000000000000000000000−2i2i2i−2i
χ2722222222-2-2-2-2-22-2222-2-2-22-222i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ2822222222-2-2-2-2-22-2222-2-2-22-22−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ292222-2-2-2-222-2-222222-22-2-2-2-2-200000000000000000000002i−2i2i−2i000000
χ302222-2-2-2-222-2-222222-22-2-2-2-2-20000000000000000000000−2i2i−2i2i000000
χ312222-2-2-2-222-2-222-2-2-22-22-2-22200000000000000002-22-2000000000000
χ322222-2-2-2-222-2-222-2-2-22-22-2-2220000000000000000-22-22000000000000
χ332222-2-2-2-222-2-2-2-222-22-2222-2-200000000000000000000002i−2i−2i2i000000
χ342222-2-2-2-222-2-2-2-222-22-2222-2-20000000000000000000000−2i2i2i−2i000000
χ352222-2-2-2-222-2-2-2-2-2-22-22-2222200000000000000002-2-22000000000000
χ362222-2-2-2-222-2-2-2-2-2-22-22-222220000000000000000-222-2000000000000
χ372222-2-2-2-2-2-2222-22-22-2-22-22-22000000000022-200-20000000000000000
χ382222-2-2-2-2-2-2222-22-22-2-22-22-220000000000-2-220020000000000000000
χ392222-2-2-2-2-2-2222-2-22-222-2-222-20000000022000-2-200000000000000000
χ402222-2-2-2-2-2-2222-2-22-222-2-222-200000000-2-20002200000000000000000
χ412222-2-2-2-2-2-222-222-2-222-22-2-2200000000002-2200-20000000000000000
χ422222-2-2-2-2-2-222-222-2-222-22-2-220000000000-22-20020000000000000000
χ432222-2-2-2-2-2-222-22-222-2-222-22-2000000002-2000-2200000000000000000
χ442222-2-2-2-2-2-222-22-222-2-222-22-200000000-220002-200000000000000000
χ454-4-4444-4-44-44-400000000000000002i2−2i22i2−2i2000000000000000000000000
χ464-4-4444-4-44-44-40000000000000000−2i22i2−2i22i2000000000000000000000000
χ474-4-4444-4-4-44-44000000000000000022−22−2222000000000000000000000000
χ484-4-4444-4-4-44-440000000000000000−222222−22000000000000000000000000
χ494-4-44-4-4444-4-4400000000000022−2222−220000000000000000000000000000
χ504-4-44-4-4444-4-44000000000000−2222−22220000000000000000000000000000
χ514-4-44-4-444-444-40000000000002i2−2i2−2i22i20000000000000000000000000000
χ524-4-44-4-444-444-4000000000000−2i22i22i2−2i20000000000000000000000000000
χ5388-8-88i−8i8i−8i000000000000000000000000000000000000000000000000
χ5488-8-8−8i8i−8i8i000000000000000000000000000000000000000000000000
χ558-88-88i−8i−8i8i000000000000000000000000000000000000000000000000
χ568-88-8−8i8i8i−8i000000000000000000000000000000000000000000000000

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