Finite Group Databasebeta

← Group #249727

Character table — Group #249727

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222224444444444448888888888888888161616161616161616161616161616163232
order12224444442444444488882444448888888888222244444488888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1111111111-11-111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-11-1-111-1-1111111-1-1-11-1-1-1-11-11-111-1-11-1
χ411111111111111111111111-1-11-1-1-1-111111111-1-1-1-1-11-1-1-11-11-1-111-11
χ5111111111111111111-1-1-1-11111111111-1-1-1-1-1-111-11-11-1-11111-1-1-1-1-1-1
χ6111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111-1-1-1-11-1-11-1-111-1-1-1-1-1-1-1-1-1-1111-1111-11-1-1-111-11
χ8111111111111111111-1-1-1-11-1-11-1-1-1-111-1-1-1-1-1-1-1-11-11111-11-1111-1-11-1
χ911111111111-1-1-1-11111111-111-111111111-1-1-1-1-1-11-11-1-1-1-1-1111111-1-1
χ1011111111111-1-1-1-11111111-111-111-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-111
χ1111111111111-1-1-1-11111111-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1111-111-111-1-1-11
χ1211111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111-11-1-1111-1-11-1-1111-1
χ1311111111111-1-1-1-1111-1-1-1-1-111-1111111-1-11111-1-1-1-1-1-111-1-111-1-1-1-111
χ1411111111111-1-1-1-1111-1-1-1-1-111-111-1-1-1-1-1-11111-1-1-11-111111-1-11111-1-1
χ1511111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-111-1-1-111-1-1-1111-1
χ1611111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111-1-1-11-1-1111-1-1-11
χ172222222-2-22-20000-2-2222220220-2-20000-2-2000000-2020000000000000
χ182222222-2-22-20000-2-2222220-2-20220000-2-200000020-20000000000000
χ192222222-2-22-20000-2-22-2-2-2-20220-2-200002200000020-20000000000000
χ202222222-2-22-20000-2-22-2-2-2-20-2-2022000022000000-2020000000000000
χ2122222-2222-2-222-2-2-22-20000200-2002200000000000-2000020-20000000
χ2222222-2222-2-222-2-2-22-20000200-200-2-20000000000020000-2020000000
χ2322222-2222-2-2-2-222-22-20000-200200220000000000020000-20-20000000
χ2422222-2222-2-2-2-222-22-20000-200200-2-200000000000-200002020000000
χ252222-22-2222-222-2-22-2-20000-2002000022000000000002000-20-2000000
χ262222-22-2222-222-2-22-2-20000-20020000-2-200000000000-2000202000000
χ272222-22-2222-2-2-2222-2-20000200-200002200000000000-200020-2000000
χ282222-22-2222-2-2-2222-2-20000200-20000-2-2000000000002000-202000000
χ292222-2-2-222-222222-2-220000-22-2-22-200000000002-20000000000000000
χ302222-2-2-222-222222-2-220000-2-22-2-220000000000-220000000000000000
χ312222-2-2-222-22-2-2-2-2-2-22000022-222-20000000000-220000000000000000
χ322222-2-2-222-22-2-2-2-2-2-2200002-222-2200000000002-20000000000000000
χ332222-2-2-2-2-2-2-20000222000002-20-2200000022-2-20000002-20000000000
χ342222-2-2-2-2-2-2-20000222000002-20-22000000-2-222000000-220000000000
χ352222-2-2-2-2-2-2-2000022200000-2202-200000022-2-2000000-220000000000
χ362222-2-2-2-2-2-2-2000022200000-2202-2000000-2-2220000002-20000000000
χ3744444-44-4-4-4400004-4-400000000000000000000000000000000000000
χ384444-44-4-4-4440000-44-400000000000000000000000000000000000000
χ3944-4-4-404000000000002i22i2−2i2−2i20000002i2−2i2000000000000000000002-20000
χ4044-4-4-404000000000002i22i2−2i2−2i2000000−2i22i200000000000000000000-220000
χ4144-4-4-40400000000000−2i2−2i22i22i20000002i2−2i200000000000000000000-220000
χ4244-4-4-40400000000000−2i2−2i22i22i2000000−2i22i2000000000000000000002-20000
χ434-44-40004-400004i−4i0002i−2i2i−2i00000000002i−2i2-22-2000000000000000000
χ444-44-40004-400004i−4i000−2i2i−2i2i0000000000−2i2i-22-22000000000000000000
χ454-44-40004-40000−4i4i0002i−2i2i−2i00000000002i−2i-22-22000000000000000000
χ464-44-40004-40000−4i4i000−2i2i−2i2i0000000000−2i2i2-22-2000000000000000000
χ474-44-4000-44004i−4i000002i−2i2i−2i0000000000−2i2i2-2-22000000000000000000
χ484-44-4000-44004i−4i00000−2i2i−2i2i00000000002i−2i-222-2000000000000000000
χ494-44-4000-4400−4i4i000002i−2i2i−2i0000000000−2i2i-222-2000000000000000000
χ504-44-4000-4400−4i4i00000−2i2i−2i2i00000000002i−2i2-2-22000000000000000000
χ514-4-440-400040000000022−22−22220000000022−22000000000000000000002-200
χ524-4-440-400040000000022−22−222200000000−222200000000000000000000-2200
χ534-4-440-4000400000000−222222−220000000022−2200000000000000000000-2200
χ544-4-440-4000400000000−222222−2200000000−2222000000000000000000002-200
χ5588-8-880-80000000000000000000000000000000000000000000000000
χ568-8-8808000-80000000000000000000000000000000000000000000000

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