Finite Group Databasebeta

← Group #348650

Character table — Group #348650

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122444444444444888888888888888888888888816161616323232323232
order12224424444488888822224444444488888888888888888248888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111-1-1-1-1111111-1-1-1-1
χ411111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-11-11-1-1-11-11-111-1-11-1-1-1-111-1-11111-1-111-1-1
χ6111111111111111111-1-11-11-1-1-11-11-111-1-11-1-1-1-111-1-1-1-1-1-111-1-111
χ7111111111111111111-1-1-11-11-1-1-11-11-1-1111-1-1-1-1-1-1111111-1-1-1-111
χ8111111111111111111-1-1-11-11-1-1-11-11-1-1111-1-1-1-1-1-111-1-1-1-11111-1-1
χ9111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11-11-1
χ10111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11-11
χ11111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1111111-1-11-1-11-11
χ12111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-11111-1-111-111-11-1
χ13111111111111-1-1-1-1-1-1-1-11-11-1-1-11-11-1-1-111-11111-1-11111-1-1-111-1-11
χ14111111111111-1-1-1-1-1-1-1-11-11-1-1-11-11-1-1-111-11111-1-111-1-1111-1-111-1
χ15111111111111-1-1-1-1-1-1-1-1-11-11-1-1-11-1111-1-1-1111111-1-111-1-1-11-111-1
χ16111111111111-1-1-1-1-1-1-1-1-11-11-1-1-11-1111-1-1-1111111-1-1-1-1111-11-1-11
χ172222222-2-2-22-22222-2-22-200002-200000000-222-2-200000000000000
χ182222222-2-2-22-22222-2-2-220000-2200000000-2-2-22200000000000000
χ192222222-2-2-22-2-2-2-2-2222-200002-2000000002-2-22200000000000000
χ202222222-2-2-22-2-2-2-2-222-220000-2200000000222-2-200000000000000
χ21222222-22-2-2-2222-2-22200020-200020-200-2-2-2000000220000000000
χ22222222-22-2-2-2222-2-222000-202000-2020022-2000000-2-20000000000
χ23222222-22-2-2-22-2-222-2-200020-200020-200222000000-2-20000000000
χ24222222-22-2-2-22-2-222-2-2000-202000-20200-2-22000000220000000000
χ25222222-2-222-2-222-2-2-2-20020-200020-20220020000-2-2000000000000
χ26222222-2-222-2-222-2-2-2-200-202000-2020-2-2002000022000000000000
χ27222222-2-222-2-2-2-222220020-200020-20-2-200-2000022000000000000
χ28222222-2-222-2-2-2-2222200-202000-20202200-20000-2-2000000000000
χ292222-2-222-22-2-20000000020-2000-2020002i−2i02i−2i2i−2i002i−2i0000000000
χ302222-2-222-22-2-20000000020-2000-202000−2i2i0−2i2i−2i2i00−2i2i0000000000
χ312222-2-222-22-2-200000000-20200020-20002i−2i0−2i2i−2i2i002i−2i0000000000
χ322222-2-222-22-2-200000000-20200020-2000−2i2i02i−2i2i−2i00−2i2i0000000000
χ332222-2-22-22-2-22000000000202000-20-22i−2i0002i−2i−2i2i2i−2i000000000000
χ342222-2-22-22-2-22000000000202000-20-2−2i2i000−2i2i2i−2i−2i2i000000000000
χ352222-2-22-22-2-22000000000-20-20002022i−2i000−2i2i2i−2i2i−2i000000000000
χ362222-2-22-22-2-22000000000-20-2000202−2i2i0002i−2i−2i2i−2i2i000000000000
χ372222-2-2-222-22-2000000220000-2-200002i−2i2i−2i00000−2i2i−2i2i0000000000
χ382222-2-2-222-22-2000000220000-2-20000−2i2i−2i2i000002i−2i2i−2i0000000000
χ392222-2-2-222-22-2000000-2-200002200002i−2i−2i2i00000−2i2i2i−2i0000000000
χ402222-2-2-222-22-2000000-2-20000220000−2i2i2i−2i000002i−2i−2i2i0000000000
χ412222-2-2-2-2-22220000002-22-222-22-22-2-200000000000000000000000
χ422222-2-2-2-2-22220000002-2-22-2-2-222-22200000000000000000000000
χ432222-2-2-2-2-2222000000-22222-22-2-2-2-2200000000000000000000000
χ442222-2-2-2-2-2222000000-22-2-2-222-2222-200000000000000000000000
χ454-44-44-400000000004i−4i00000000000000000000000002-22i−2i000000
χ464-44-44-400000000004i−4i0000000000000000000000000-22−2i2i000000
χ474-44-44-40000000000−4i4i00000000000000000000000002-2−2i2i000000
χ484-44-44-40000000000−4i4i0000000000000000000000000-222i−2i000000
χ4988-8-8000000004i2−4i2000000000000000000000000000000000000000
χ5088-8-800000000−4i24i2000000000000000000000000000000000000000
χ518-88-8-8800000000000000000000000000000000000000000000000
χ528-8-88000000000042−420000000000000000000000000000000000000
χ538-8-880000000000−42420000000000000000000000000000000000000

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