Finite Group Databasebeta

← Group #249754

Character table — Group #249754

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222224444444444448888888888888888161616161616161616161616161616163232
order12224444442444444488882444448888888888444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-1111-1-1111111-1-11-1-1-1-1-11-11-111-1-11-1
χ411111111111111111111111-1-1-1-11-1-111111111-1-1-11-1-1-1-1-11-11-1-111-11
χ5111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1
χ6111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111
χ7111111111111111111-1-1-1-11-1-1-1-1111-1-1-1-1-1-1-1-1111-1-1-1111-11-1-1-111-11
χ8111111111111111111-1-1-1-11-1-1-1-11-1-111-1-1-1-1-1-111-11-1-111-11-1111-1-11-1
χ911111111111-1-1-1-11111111-11111-1111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1
χ1011111111111-1-1-1-11111111-11111-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111
χ1111111111111-1-1-1-11111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-111111-111-111-1-1-11
χ1211111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-111111-1-11-1-1111-1
χ1311111111111-1-1-1-1111-1-1-1-1-11111-11111-1-11111-1-1-1-1-1-111-1-111-1-1-1-111
χ1411111111111-1-1-1-1111-1-1-1-1-11111-1-1-1-1-1-1-11111-1-111-1-11111-1-11111-1-1
χ1511111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1111-1-1-111-1-1-1111-1
χ1611111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111-111-1-11-1-1111-1-1-11
χ1722222222-2-2-20000-2-222222022-2-200000-2-200002-20000000000000000
χ1822222222-2-2-20000-2-2222220-2-22200000-2-20000-220000000000000000
χ1922222222-2-2-20000-2-22-2-2-2-2022-2-200000220000-220000000000000000
χ2022222222-2-2-20000-2-22-2-2-2-20-2-222000002200002-20000000000000000
χ2122222-22-222-222-2-22-2-2000020000-20022000000000200000-20-2000000
χ2222222-22-222-222-2-22-2-2000020000-200-2-2000000000-200000202000000
χ2322222-22-222-2-2-2222-2-20000-2000020022000000000-20000020-2000000
χ2422222-22-222-2-2-2222-2-20000-20000200-2-2000000000200000-202000000
χ252222-22-2222-222-2-2-22-20000-200002220000000000-20000020-20000000
χ262222-22-2222-222-2-2-22-20000-200002-2-20000000000200000-2020000000
χ272222-22-2222-2-2-222-22-2000020000-2220000000000200000-20-20000000
χ282222-22-2222-2-2-222-22-2000020000-2-2-20000000000-2000002020000000
χ292222-2-2-2-22222222-2-220000-22-22-2-2000000000000002-2000000000000
χ302222-2-2-2-22222222-2-220000-2-22-22-200000000000000-22000000000000
χ312222-2-2-2-2222-2-2-2-2-2-22000022-22-2200000000000000-22000000000000
χ322222-2-2-2-2222-2-2-2-2-2-2200002-22-222000000000000002-2000000000000
χ332222-2-2-2-2-2-2-20000222000002-2-22000000022-2-20000002-20000000000
χ342222-2-2-2-2-2-2-20000222000002-2-220000000-2-222000000-220000000000
χ352222-2-2-2-2-2-2-2000022200000-222-2000000022-2-2000000-220000000000
χ362222-2-2-2-2-2-2-2000022200000-222-20000000-2-2220000002-20000000000
χ3744444-44-4-4-440000-44-400000000000000000000000000000000000000
χ384444-44-44-4-4400004-4-400000000000000000000000000000000000000
χ3944-4-4040-400000000002222−22−2200000022−22000000000000000000002-20000
χ4044-4-4040-400000000002222−22−22000000−222200000000000000000000-220000
χ4144-4-4040-40000000000−22−22222200000022−2200000000000000000000-220000
χ4244-4-4040-40000000000−22−222222000000−2222000000000000000000002-20000
χ434-44-440-40000000000022−2222−220000000022−22000000000000000000002-200
χ444-44-440-40000000000022−2222−2200000000−222200000000000000000000-2200
χ454-44-440-400000000000−2222−22220000000022−2200000000000000000000-2200
χ464-44-440-400000000000−2222−222200000000−2222000000000000000000002-200
χ474-4-4400004-40004i−4i0002-2-2200000000002-22i−2i2i−2i000000000000000000
χ484-4-4400004-40004i−4i000-222-20000000000-22−2i2i−2i2i000000000000000000
χ494-4-4400004-4000−4i4i0002-2-2200000000002-2−2i2i−2i2i000000000000000000
χ504-4-4400004-4000−4i4i000-222-20000000000-222i−2i2i−2i000000000000000000
χ514-4-440000-4404i−4i000002-2-220000000000-222i−2i−2i2i000000000000000000
χ524-4-440000-4404i−4i00000-222-200000000002-2−2i2i2i−2i000000000000000000
χ534-4-440000-440−4i4i000002-2-220000000000-22−2i2i2i−2i000000000000000000
χ544-4-440000-440−4i4i00000-222-200000000002-22i−2i−2i2i000000000000000000
χ5588-8-80-808000000000000000000000000000000000000000000000000
χ568-88-8-8080000000000000000000000000000000000000000000000000

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