Finite Group Databasebeta

← Group #454111

Character table — Group #454111

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111122222222222222888888888888888816161616161616161616161616161616161616161616
order12222222224444444422222222444488882444444488888888888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-111-111-1-1-1-1-1-1-1-1-1-111-1-1
χ3111111111111111111111111111111-1-1-1-1111-1-11-1-111-1-1-1-1-1-1-1-1-1-111
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ51111111111111111111111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-11111-1-1-1-1-1-111
χ61111111111111111111111-1-1-1-1-1-1-1-11111-11111-1-1-111-1-1-1-11111-1-1-1-1
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-1-1-1-111111111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111111111-1-1-1-111-1-1
χ9111111111111111111-1-1-1-111-1-111-1-11111111-1-11-1-1-1-111-1-111-1-111-1-1
χ10111111111111111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-111-1-111-1-1111111
χ11111111111111111111-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1
χ12111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-111-1111111-1-111-1-1-1-111
χ13111111111111111111-1-1-1-1-1-111-1-11111111-1-1-1-11111111-1-1-1-111-1-1-1-1
χ14111111111111111111-1-1-1-1-1-111-1-1111111-111-1-1-111-1-1-1-11111-1-1-1-111
χ15111111111111111111-1-1-1-1-1-111-1-111-1-1-1-11-1-1111-1-111-1-11111-1-111-1-1
χ16111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-11111-1-1-1-1-111-1-1-1-1111111
χ172222222222-2-2-2-2-2-2-2-200002-2002-200000000000000002i−2i002i−2i000000
χ182222222222-2-2-2-2-2-2-2-200002-2002-20000000000000000−2i2i00−2i2i000000
χ192222222222-2-2-2-2-2-2-2-20000-2200-2200000000000000002i−2i00−2i2i000000
χ202222222222-2-2-2-2-2-2-2-20000-2200-220000000000000000−2i2i002i−2i000000
χ21222222-2-2-2-2-2222-2-2-220000002-2002-2000002-2000000000000000002-2
χ22222222-2-2-2-2-2222-2-2-220000002-2002-200000-2200000000000000000-22
χ23222222-2-2-2-2-2222-2-2-22000000-2200-22000002-200000000000000000-22
χ24222222-2-2-2-2-2222-2-2-22000000-2200-2200000-22000000000000000002-2
χ252222-2-222-2-2-22-2-222-220000002-200-22000020000-2002-2000000000000
χ262222-2-222-2-2-22-2-222-220000002-200-220000-20000200-22000000000000
χ272222-2-222-2-2-22-2-222-22000000-22002-2000020000-200-22000000000000
χ282222-2-222-2-2-22-2-222-22000000-22002-20000-200002002-2000000000000
χ292222-2-2-2-22222-2-2-2-22222-2-22-222-22-2-200000000000000000000000000
χ302222-2-2-2-22222-2-2-2-22222-2-2-22-2-22-22200000000000000000000000000
χ312222-2-2-2-22222-2-2-2-222-2-2222-2-2-2-222200000000000000000000000000
χ322222-2-2-2-22222-2-2-2-222-2-222-22222-2-2-200000000000000000000000000
χ332222-2-2-2-222-2-22222-2-200002200-2-20000000000000000002-2002-20000
χ342222-2-2-2-222-2-22222-2-200002200-2-2000000000000000000-2200-220000
χ352222-2-2-2-222-2-22222-2-20000-2-200220000000000000000002-200-220000
χ362222-2-2-2-222-2-22222-2-20000-2-20022000000000000000000-22002-20000
χ372-2-222-22-2-22-2-22-22-2222-22-20000000000000000002-200000000002-200
χ382-2-222-22-2-22-2-22-22-2222-22-2000000000000000000-220000000000-2200
χ392-2-222-22-2-22-2-22-22-222-22-220000000000000000002-20000000000-2200
χ402-2-222-22-2-22-2-22-22-222-22-22000000000000000000-2200000000002-200
χ412-2-22-22-22-22-2-2-22-22222-2-220000000022-2-20002-200000000000000000
χ422-2-22-22-22-22-2-2-22-22222-2-2200000000-2-222000-2200000000000000000
χ432-2-22-22-22-22-2-2-22-2222-222-20000000022-2-2000-2200000000000000000
χ442-2-22-22-22-22-2-2-22-2222-222-200000000-2-2220002-200000000000000000
χ45444444-4-4-4-44-4-4-4444-400000000000000000000000000000000000000
χ464444-4-444-4-44-444-4-44-400000000000000000000000000000000000000
χ474-4-444-44-4-4444-44-44-4-400000000000000000000000000000000000000
χ484-4-444-4-444-44-44-4-44-4400000000000000000000000000000000000000
χ494-4-444-4-444-4-44-444-44-400000000000000000000000000000000000000
χ504-4-44-444-44-44-4-444-4-4400000000000000000000000000000000000000
χ514-4-44-444-44-4-444-4-444-400000000000000000000000000000000000000
χ524-4-44-44-44-44444-44-4-4-400000000000000000000000000000000000000
χ5388-8-8000000000000000000000000002i2−2i22i2−2i20000000000000000000000
χ5488-8-800000000000000000000000000−2i22i2−2i22i20000000000000000000000
χ558-88-8000000000000000000000000002i2−2i2−2i22i20000000000000000000000
χ568-88-800000000000000000000000000−2i22i22i2−2i20000000000000000000000

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