Finite Group Databasebeta

← Group #348647

Character table — Group #348647

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122222244444488888888888888888888888888816161616323232323232
order12224488882444442244444444448888888888888888888448888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111-11-1-1-11-11-1-1-1111-1-11111-1-1-1-1-1-11111-1-111-1-1
χ411111111111111111-11-1-1-11-11-1-1-1111-1-11111-1-1-1-1-1-1-1-1-1-111-1-111
χ51111111111111111-11-11-1-1-11-11-1-11-1-11111-1-111-1-1-1-11111-1-1-1-111
χ61111111111111111-11-11-1-1-11-11-1-11-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1
χ71111111111111111-1-1-1-111-1-1-1-1111-1-1-1-111-1-1-1-11111111111-1-1-1-1
χ81111111111111111-1-1-1-111-1-1-1-1111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111
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
χ11111111-1-1-1-11111111-11-1-1-11-11-1-1-1-1-1-111-1-1-1-111111111-1-1-111-1-11
χ12111111-1-1-1-11111111-11-1-1-11-11-1-1-1-1-1-111-1-1-1-1111111-1-1111-1-111-1
χ13111111-1-1-1-1111111-11-11-1-1-11-11-1-1-111-1-1-1-111-1-1111111-1-1-11-111-1
χ14111111-1-1-1-1111111-11-11-1-1-11-11-1-1-111-1-1-1-111-1-11111-1-1111-11-1-11
χ15111111-1-1-1-1111111-1-1-1-111-1-1-1-111-11111-1-11111-1-1-1-111-1-11-1-11-11
χ16111111-1-1-1-1111111-1-1-1-111-1-1-1-111-11111-1-11111-1-1-1-1-1-111-111-11-1
χ1722222222222-2-2-22-200002-200002-220000-2-2000022-2-20000000000
χ1822222222222-2-2-22-20000-220000-2220000-2-20000-2-2220000000000
χ192222222222-22-2-2-22020-200020-200-200222-200-2-200000000000000
χ202222222222-22-2-2-220-202000-20200-200-2-22-2002200000000000000
χ212222222222-2-222-2-220-200020-2000-22200-22-2-20000000000000000
χ222222222222-2-222-2-2-202000-202000-2-2-200-22220000000000000000
χ23222222-2-2-2-22-2-2-22-200002-200002-2-20000220000-2-2220000000000
χ24222222-2-2-2-22-2-2-22-20000-220000-22-2000022000022-2-20000000000
χ25222222-2-2-2-2-22-2-2-22020-200020-200200-2-2-22002200000000000000
χ26222222-2-2-2-2-22-2-2-220-202000-2020020022-2200-2-200000000000000
χ27222222-2-2-2-2-2-222-2-220-200020-20002-2-2002-2220000000000000000
χ28222222-2-2-2-2-2-222-2-2-202000-202000222002-2-2-20000000000000000
χ292222-2-2000022-22-2-220-2000-2020000002i−2i00002i−2i2i−2i2i−2i0000000000
χ302222-2-2000022-22-2-220-2000-202000000−2i2i0000−2i2i−2i2i−2i2i0000000000
χ312222-2-2000022-22-2-2-20200020-20000002i−2i00002i−2i−2i2i−2i2i0000000000
χ322222-2-2000022-22-2-2-20200020-2000000−2i2i0000−2i2i2i−2i2i−2i0000000000
χ332222-2-200002-22-2-220202000-20-20002i−2i00002i−2i002i−2i−2i2i0000000000
χ342222-2-200002-22-2-220202000-20-2000−2i2i0000−2i2i00−2i2i2i−2i0000000000
χ352222-2-200002-22-2-220-20-20002020002i−2i00002i−2i00−2i2i2i−2i0000000000
χ362222-2-200002-22-2-220-20-2000202000−2i2i0000−2i2i002i−2i−2i2i0000000000
χ372222-2-20000-222-22-20000220000-2-202i−2i2i−2i00−2i2i−2i2i00000000000000
χ382222-2-20000-222-22-20000220000-2-20−2i2i−2i2i002i−2i2i−2i00000000000000
χ392222-2-20000-222-22-20000-2-200002202i−2i−2i2i00−2i2i2i−2i00000000000000
χ402222-2-20000-222-22-20000-2-20000220−2i2i2i−2i002i−2i−2i2i00000000000000
χ412222-2-20000-2-2-2222222-22-2-2-2-22-220000000000000000000000000
χ422222-2-20000-2-2-22222-222-22-22-2-22-20000000000000000000000000
χ432222-2-20000-2-2-2222-22-2-2-222-2222-20000000000000000000000000
χ442222-2-20000-2-2-2222-2-2-222-2222-2-220000000000000000000000000
χ454-44-4-444i4i−4i−4i0000000000000000000000000000000002i−2i2-2000000
χ464-44-4-444i4i−4i−4i000000000000000000000000000000000−2i2i-22000000
χ474-44-4-44−4i−4i4i4i0000000000000000000000000000000002i−2i-22000000
χ484-44-4-44−4i−4i4i4i000000000000000000000000000000000−2i2i2-2000000
χ4988-8-80042−4242−420000000000000000000000000000000000000000000
χ5088-8-800−4242−42420000000000000000000000000000000000000000000
χ518-88-88-800000000000000000000000000000000000000000000000
χ528-8-88004i2−4i2−4i24i20000000000000000000000000000000000000000000
χ538-8-8800−4i24i24i2−4i20000000000000000000000000000000000000000000

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