Finite Group Databasebeta

← Group #454842

Character table — Group #454842

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111122222222222222888888888888888816161616161616161616161616161616161616161616
order12222222224444444422444444444488882444444444444444888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-111-111-1-1-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1111-1-11-1-1-1-1-1-1-1-1-1-1-1-11111
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ511111111111111111111-1-111-1-1-1-1-1-11111111-1-11-1-11111-1-1-1-111-1-1-1-1
χ611111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ711111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1
χ811111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1111111-1-1-1-1-1-11111
χ9111111111111111111-1-111-1-111-1-1-1-111111-11-1-1-11111-1-111-1-1-1-111-1-1
χ10111111111111111111-1-111-1-111-1-1-1-11111-11-1-1-1111-1-111-1-111-1-1-1-111
χ11111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11-1111-1-1-1-1-111-1-1111111-1-1
χ12111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-11-1111-1-111-1-111-1-111-1-111
χ13111111111111111111-1-1-1-1-1-1-1-1111111111-1111-1-1-111-1-1-1-111-1-1-1-111
χ14111111111111111111-1-1-1-1-1-1-1-111111111-11-1111-1-1-1-11111-1-1-1-111-1-1
χ15111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11-11-1-1-111-1-11111-1-111-1-111
χ16111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-1-111111-1-1-1-1111111-1-1
χ172222222222-2-2-2-2-2-2-2-22-2002-200000000000000000000002-22-2000000
χ182222222222-2-2-2-2-2-2-2-22-2002-20000000000000000000000-22-22000000
χ192222222222-2-2-2-2-2-2-2-2-2200-2200000000000000000000002-2-22000000
χ202222222222-2-2-2-2-2-2-2-2-2200-220000000000000000000000-222-2000000
χ2122222-2-22-2-22222-2-2-2-22200-2-20000000000000000002i−2i2i−2i0000000000
χ2222222-2-22-2-22222-2-2-2-22200-2-2000000000000000000−2i2i−2i2i0000000000
χ2322222-2-22-2-22222-2-2-2-2-2-200220000000000000000002i−2i−2i2i0000000000
χ2422222-2-22-2-22222-2-2-2-2-2-20022000000000000000000−2i2i2i−2i0000000000
χ2522222-2-22-2-2-2-2-2-222222-222-22-2-222-2-200000000000000000000000000
χ2622222-2-22-2-2-2-2-2-222222-2-2-2-2222-2-22200000000000000000000000000
χ2722222-2-22-2-2-2-2-2-22222-22222-2-2-2-2-22200000000000000000000000000
χ2822222-2-22-2-2-2-2-2-22222-22-2-22-22222-2-200000000000000000000000000
χ292222-22-2-22-222-2-2-22-22000000002-22-2000002000-20000000000002-200
χ302222-22-2-22-222-2-2-22-22000000002-22-200000-20002000000000000-2200
χ312222-22-2-22-222-2-2-22-2200000000-22-22000002000-2000000000000-2200
χ322222-22-2-22-222-2-2-22-2200000000-22-2200000-200020000000000002-200
χ332222-2-22-2-22-2-222-22-22000000002-2-22000020-2000000000000000002-2
χ342222-2-22-2-22-2-222-22-22000000002-2-220000-20200000000000000000-22
χ352222-2-22-2-22-2-222-22-2200000000-222-2000020-200000000000000000-22
χ362222-2-22-2-22-2-222-22-2200000000-222-20000-202000000000000000002-2
χ372-22-222-2-2-222-22-2-2-222002i−2i002i−2i000022-2-20000002i−2i00000000000000
χ382-22-222-2-2-222-22-2-2-222002i−2i002i−2i0000-2-222000000−2i2i00000000000000
χ392-22-222-2-2-222-22-2-2-22200−2i2i00−2i2i000022-2-2000000−2i2i00000000000000
χ402-22-222-2-2-222-22-2-2-22200−2i2i00−2i2i0000-2-2220000002i−2i00000000000000
χ412-22-22-22-22-2-22-22-2-222002i−2i00−2i2i000000000002i−2i000000000002-20000
χ422-22-22-22-22-2-22-22-2-222002i−2i00−2i2i00000000000−2i2i00000000000-220000
χ432-22-22-22-22-2-22-22-2-22200−2i2i002i−2i000000000002i−2i00000000000-220000
χ442-22-22-22-22-2-22-22-2-22200−2i2i002i−2i00000000000−2i2i000000000002-20000
χ454444-44-4-44-4-4-4444-44-400000000000000000000000000000000000000
χ464444-4-44-4-4444-4-44-44-400000000000000000000000000000000000000
χ474-44-444-4-4-44-44-4444-4-400000000000000000000000000000000000000
χ484-44-44-44-44-44-44-444-4-400000000000000000000000000000000000000
χ494-44-4-4444-4-44-4-444-4-4400000000000000000000000000000000000000
χ504-44-4-4444-4-4-444-4-444-400000000000000000000000000000000000000
χ514-44-4-4-4-44444-4-44-444-400000000000000000000000000000000000000
χ524-44-4-4-4-4444-444-44-4-4400000000000000000000000000000000000000
χ5388-8-80000000000000000000000000022−2222−220000000000000000000000
χ5488-8-800000000000000000000000000−2222−22220000000000000000000000
χ558-8-880000000000000000000000000022−22−22220000000000000000000000
χ568-8-8800000000000000000000000000−222222−220000000000000000000000

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