Finite Group Databasebeta

← Group #273840

Character table — Group #273840

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111222222224444444888888888888888888888888881616161616161616161616163232
order12222244444422444442222444488888888888888888824444888888848
χ111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-11-1-1-1-1
χ3111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-1-1-1
χ4111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111
χ51111111111111111111-1-11111-1-111111111-1-111-1-11111-11-1-1-11-1-1-1-111-1-1
χ61111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11-1-1-11111-1-1-111
χ71111111111111111111-1-1-1-111-1-111111111-1-1-1-111-1-1-1-11-1-1-11-1-1-1-11-1-111
χ81111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11111111-1-1-11-1111111-1-1
χ9111111111111-1-11-1-1111111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111-1-11-11-1-1-1111-1
χ10111111111111-1-11-1-1111111-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-11-1-111-1-1-1-11
χ11111111111111-1-11-1-11111-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-111-1-11-1-1-11
χ12111111111111-1-11-1-11111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-11-1111111-1
χ13111111111111-1-11-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1111-1-1-111111-11
χ14111111111111-1-11-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1111111-1111-1-11-1-11-1-11-1
χ15111111111111-1-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111111-11111-111-1-1-11-1
χ16111111111111-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11-111111-1-1-111-11
χ172222222-22-22222-222-2-20022-2-2000000000000220000000-2000-200000000
χ182222222-22-22222-222-2-200-2-2-2-2000000000000-2-200000002000200000000
χ192222222-22-222-2-2-2-2-2-2-2002222000000000000-2-20000000-2000200000000
χ202222222-22-222-2-2-2-2-2-2-200-2-2220000000000002200000002000-200000000
χ21222222-2-2-2-2-2-2002002-22-200002-200002i2i−2i−2i000000000000000002i−2i00000
χ22222222-2-2-2-2-2-2002002-22-200002-20000−2i−2i2i2i00000000000000000−2i2i00000
χ23222222-2-2-2-2-2-2002002-2-220000-2200002i2i−2i−2i00000000000000000−2i2i00000
χ24222222-2-2-2-2-2-2002002-2-220000-220000−2i−2i2i2i000000000000000002i−2i00000
χ252222-2-222-222-200-2002-2220000-2-222-2-200002200000000000000-20000000
χ262222-2-222-222-200-2002-2220000-2-2-2-2220000-2-20000000000000020000000
χ272222-2-222-222-200-2002-2-2-200002222-2-20000-2-20000000000000020000000
χ282222-2-222-222-200-2002-2-2-2000022-2-22200002200000000000000-20000000
χ292222-2-2-2222-22222-2-2-2-20000-2200000000000000220000-200020000-20000
χ302222-2-2-2222-22222-2-2-2-20000-2200000000000000-2-200002000-2000020000
χ312222-2-2-2222-22-2-2222-2-200002-2000000000000002200002000-20000-20000
χ322222-2-2-2222-22-2-2222-2-200002-200000000000000-2-20000-20002000020000
χ332222-2-2-2-22-2-2222-2-2-2222-2002-2-22000000000000000000002-20000000000
χ342222-2-2-2-22-2-2222-2-2-222-22002-22-200000000000000000000-220000000000
χ352222-2-2-2-22-2-22-2-2-222222-200-22-2200000000000000000000-220000000000
χ362222-2-2-2-22-2-22-2-2-22222-2200-222-2000000000000000000002-20000000000
χ372-2-222-2-20-20222-202-200002-200002−22−22−22−2002-20022−2−200000000002−200
χ382-2-222-2-20-20222-202-200002-20000−22−22−22−22002-200−2−2220000000000−2200
χ392-2-222-2-20-20222-202-20000-2200002−22−22−22−200-2200−2−2220000000000−2200
χ402-2-222-2-20-20222-202-20000-220000−22−22−22−2200-220022−2−200000000002−200
χ412-2-222-2-20-2022-220-2200002-200002−22−2−22−2200-2200−2−22200000000002−200
χ422-2-222-2-20-2022-220-2200002-20000−22−222−22−200-220022−2−20000000000−2200
χ432-2-222-2-20-2022-220-220000-2200002−22−2−22−22002-20022−2−20000000000−2200
χ442-2-222-2-20-2022-220-220000-220000−22−222−22−2002-200−2−22200000000002−200
χ45444444-44-44-4-400-400-440000000000000000000000000000000000000000
χ464444-4-44-4-4-44-400400-440000000000000000000000000000000000000000
χ474-44-4000-40400000000000000000000000002i2−2i2002i2−2i22-22-200000000000000
χ484-44-4000-40400000000000000000000000002i2−2i200−2i22i2-22-2200000000000000
χ494-44-4000-4040000000000000000000000000−2i22i2002i2−2i2-22-2200000000000000
χ504-44-4000-4040000000000000000000000000−2i22i200−2i22i22-22-200000000000000
χ514-4-444-44040-4-400000000000000000002i2−2i2−2i22i2000000000000000000000000
χ524-4-444-44040-4-40000000000000000000−2i22i22i2−2i2000000000000000000000000
χ534-4-44-4440-40-444-40-44000000000000000000000000000000000000000000
χ544-4-44-4440-40-44-4404-4000000000000000000000000000000000000000000
χ554-4-44-44-40404-400000000000000022−22−22220000000000000000000000000000
χ564-4-44-44-40404-4000000000000000−222222−220000000000000000000000000000
χ5788-8-8000000000000000000000000000000000000022−22−222200000000000000
χ5888-8-80000000000000000000000000000000000000−222222−2200000000000000
χ598-88-800080-80000000000000000000000000000000000000000000000000

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