Finite Group Databasebeta

← Group #348083

Character table — Group #348083

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122222244444488888888888888888888888888816161616323232323232
order12224488882444442244444444448888888888888888888248888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111-111-1-1-1-1-1-11-1111-1-11111-1-1-1-1-1-11111-1-111-1-1
χ411111111111111111-111-1-1-1-1-1-11-1111-1-11111-1-1-1-1-1-1-1-1-1-111-1-111
χ51111111111111111-11-1-111-1-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-111
χ61111111111111111-11-1-111-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1
χ71111111111111111-1-1-1-1-1-11111-1-11-1-1-1-111-1-1-1-11111111111-1-1-1-1
χ81111111111111111-1-1-1-1-1-11111-1-11-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111
χ9111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11-11-1
χ10111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11-11
χ11111111-1-1-1-11111111-111-1-1-1-1-1-11-1-1-1-111-1-1-1-111111111-1-1-111-1-11
χ12111111-1-1-1-11111111-111-1-1-1-1-1-11-1-1-1-111-1-1-1-1111111-1-1111-1-111-1
χ13111111-1-1-1-1111111-11-1-111-1-1-1-1-11-111-1-1-1-111-1-1111111-1-1-11-111-1
χ14111111-1-1-1-1111111-11-1-111-1-1-1-1-11-111-1-1-1-111-1-11111-1-1111-11-1-11
χ15111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-11111-1-11111-1-1-1-111-1-11-1-11-11
χ16111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-11111-1-11111-1-1-1-1-1-111-111-11-1
χ1722222222222-2-2-2-2200000022-2-20020000-2-2000022-2-20000000000
χ1822222222222-2-2-2-22000000-2-2220020000-2-20000-2-2220000000000
χ192222222222-22-22-2-20200-2-2000002-200222-200-2-200000000000000
χ202222222222-22-22-2-20-2002200000-2-200-2-22-2002200000000000000
χ212222222222-2-22-22-220-2-200000020-22200-22-2-20000000000000000
χ222222222222-2-22-22-2-2022000000-20-2-2-200-22220000000000000000
χ23222222-2-2-2-22-2-2-2-2200000022-2-200-20000220000-2-2220000000000
χ24222222-2-2-2-22-2-2-2-22000000-2-22200-2000022000022-2-20000000000
χ25222222-2-2-2-2-22-22-2-20200-2-2000002200-2-2-22002200000000000000
χ26222222-2-2-2-2-22-22-2-20-2002200000-220022-2200-2-200000000000000
χ27222222-2-2-2-2-2-22-22-220-2-2000000202-2-2002-2220000000000000000
χ28222222-2-2-2-2-2-22-22-2-2022000000-20222002-2-2-20000000000000000
χ292222-2-2000022-2-22-2202-2000000-200002i−2i00002i−2i2i−2i2i−2i0000000000
χ302222-2-2000022-2-22-2202-2000000-20000−2i2i0000−2i2i−2i2i−2i2i0000000000
χ312222-2-2000022-2-22-2-20-22000000200002i−2i00002i−2i−2i2i−2i2i0000000000
χ322222-2-2000022-2-22-2-20-2200000020000−2i2i0000−2i2i2i−2i2i−2i0000000000
χ332222-2-200002-222-2-202002-200000-202i−2i00002i−2i002i−2i−2i2i0000000000
χ342222-2-200002-222-2-202002-200000-20−2i2i0000−2i2i00−2i2i2i−2i0000000000
χ352222-2-200002-222-2-20-200-2200000202i−2i00002i−2i00−2i2i2i−2i0000000000
χ362222-2-200002-222-2-20-200-220000020−2i2i0000−2i2i002i−2i−2i2i0000000000
χ372222-2-20000-222-2-220000002-22-20002i−2i2i−2i00−2i2i−2i2i00000000000000
χ382222-2-20000-222-2-220000002-22-2000−2i2i−2i2i002i−2i2i−2i00000000000000
χ392222-2-20000-222-2-22000000-22-220002i−2i−2i2i00−2i2i2i−2i00000000000000
χ402222-2-20000-222-2-22000000-22-22000−2i2i2i−2i002i−2i−2i2i00000000000000
χ412222-2-20000-2-2-222222-22-222-2-22-2-20000000000000000000000000
χ422222-2-20000-2-2-22222-2-222-2-222-2-220000000000000000000000000
χ432222-2-20000-2-2-2222-222-2-22-222-22-20000000000000000000000000
χ442222-2-20000-2-2-2222-2-22-22-22-2-22220000000000000000000000000
χ454-4-444-444-4-40000000000000000000000000000000002i−2i2i−2i000000
χ464-4-444-444-4-4000000000000000000000000000000000−2i2i−2i2i000000
χ474-4-444-4-4-4440000000000000000000000000000000002i−2i−2i2i000000
χ484-4-444-4-4-444000000000000000000000000000000000−2i2i2i−2i000000
χ4988-8-8004i2−4i24i2−4i20000000000000000000000000000000000000000000
χ5088-8-800−4i24i2−4i24i20000000000000000000000000000000000000000000
χ518-88-8004i2−4i2−4i24i20000000000000000000000000000000000000000000
χ528-88-800−4i24i24i2−4i20000000000000000000000000000000000000000000
χ538-8-88-8800000000000000000000000000000000000000000000000

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