Finite Group Databasebeta

← Group #277960

Character table — Group #277960

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222222244444444488888888888888888161616161616161616161616161616163232
order12222244444444488888822448888888888888248888888888888844
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1
χ311111111111111111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ5111111111111111111111-1-1-1-11111111111111-1-111-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111111-1-1-1-1111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111
χ7111111111111111111111-1-1-1-11-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111
χ8111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111111-1-1
χ9111111111111111-1-1-1-1-1-11111-11111-1-111-1-1-1-1111-111-1-1-1-1-1-111-1-11-1
χ10111111111111111-1-1-1-1-1-11111-111-1-11111-1-1-1-111-11-1-111-1-1-1-1-1-111-11
χ11111111111111111-1-1-1-1-1-11111-1-1-111-1-1-1-11111-1-11-111-1-1-1-111-1-111-11
χ12111111111111111-1-1-1-1-1-11111-1-1-1-1-111-1-11111-1-1-11-1-111-1-11111-1-11-1
χ13111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11-1-1-111111111-1-1-11
χ14111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1111-1-11111-1-1111-1
χ15111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1-11111-1-1-1-1111-1
χ16111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1111-1-111-1-111-1-1-11
χ172222222-2-2-22-2-22-200000022-2-20000000002i2i−2i−2i00000000002i−2i000000
χ182222222-2-2-22-2-22-200000022-2-2000000000−2i−2i2i2i0000000000−2i2i000000
χ192222222-2-2-22-2-22-2000000-2-2220000000002i2i−2i−2i0000000000−2i2i000000
χ202222222-2-2-22-2-22-2000000-2-222000000000−2i−2i2i2i00000000002i−2i000000
χ21222222-2222-22-2-2-222-2-2-2-2000020022-2-200000000-2200000000000000
χ22222222-2222-22-2-2-222-2-2-2-20000200-2-222000000002-200000000000000
χ23222222-2222-22-2-2-2-2-222220000-200222200000000-2-200000000000000
χ24222222-2222-22-2-2-2-2-222220000-200-2-2-2-2000000002200000000000000
χ252222-2-222-2-222-2-222222-2-22-22-2-2000000000000000000002-200000000
χ262222-2-222-2-222-2-222222-2-2-22-22-200000000000000000000-2200000000
χ272222-2-222-2-222-2-22-2-2-2-2222-22-2200000000000000000000-2200000000
χ282222-2-222-2-222-2-22-2-2-2-222-22-222000000000000000000002-200000000
χ292222-2-22-2222-22-2-20000002-2-220220000-2-200002-20000000000000000
χ302222-2-22-2222-22-2-20000002-2-220-2-20000220000-220000000000000000
χ312222-2-22-2222-22-2-2000000-222-20220000-2-20000-220000000000000000
χ322222-2-22-2222-22-2-2000000-222-20-2-200002200002-20000000000000000
χ332222-2-2-22-2-2-2222-222-2-2220000-200000000000000002i−2i2i−2i0000000000
χ342222-2-2-22-2-2-2222-222-2-2220000-20000000000000000−2i2i−2i2i0000000000
χ352222-2-2-22-2-2-2222-2-2-222-2-20000200000000000000002i−2i−2i2i0000000000
χ362222-2-2-22-2-2-2222-2-2-222-2-2000020000000000000000−2i2i2i−2i0000000000
χ372-2-222-2022-20-2000002i−2i2i−2i000002−22i−2i2-22−2i2−i2i2−i2000000000000i2−i22−200
χ382-2-222-2022-20-2000002i−2i2i−2i000002−2−2i2i-222−2i2−i2i2−i2000000000000−i2i2−2200
χ392-2-222-2022-20-2000002i−2i2i−2i00000−222i−2i2-2−22−i2i2−i2i2000000000000−i2i2−2200
χ402-2-222-2022-20-2000002i−2i2i−2i00000−22−2i2i-22−22−i2i2−i2i2000000000000i2−i22−200
χ412-2-222-2022-20-200000−2i2i−2i2i000002−22i−2i-222−2−i2i2−i2i2000000000000i2−i2−2200
χ422-2-222-2022-20-200000−2i2i−2i2i000002−2−2i2i2-22−2−i2i2−i2i2000000000000−i2i22−200
χ432-2-222-2022-20-200000−2i2i−2i2i00000−222i−2i-22−22i2−i2i2−i2000000000000−i2i22−200
χ442-2-222-2022-20-200000−2i2i−2i2i00000−22−2i2i2-2−22i2−i2i2−i2000000000000i2−i2−2200
χ45444444-4-4-4-4-4-44-4400000000000000000000000000000000000000000
χ464444-4-4-4-444-4-4-44400000000000000000000000000000000000000000
χ474-4-444-40-4-4404000000000000000000000022−22−2222000000000000000000
χ484-4-444-40-4-44040000000000000000000000−222222−22000000000000000000
χ494-4-44-4404-440-4000004i−4i−4i4i00000000000000000000000000000000000
χ504-4-44-4404-440-400000−4i4i4i−4i00000000000000000000000000000000000
χ514-4-44-440-44-4040000000000000022−220000−22220000000000000000000000
χ524-4-44-440-44-40400000000000000−2222000022−220000000000000000000000
χ5388-8-80000000000042−42000000000000000000000000000000000000000
χ5488-8-800000000000−4242000000000000000000000000000000000000000
χ558-88-8008000-8000000000000000000000000000000000000000000000
χ568-88-800-80008000000000000000000000000000000000000000000000

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