Finite Group Databasebeta

← Group #271973

Character table — Group #271973

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122222222444888888888888888888888816161616161616161616161616323232
order12222244444444422444444888888888888882224444488888488
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-111111-1-1-11-1-1-1-1-1-111-1-1-1
χ311111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1111-1-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11-111-1-1-1-1-1111
χ51111111111111111-11-11-11-11111111111-1-1-1-1-1-1-11-11-1-11-1-1-1-11-11
χ61111111111111111-11-11-11-111111111-1-1-1-1-1-1-111-1-1-111-111-1-1-11-1
χ71111111111111111-11-11-11-1-1-1-1-1-1-1-1-1111111-1-1-11-11111-1-111-11-1
χ81111111111111111-11-11-11-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-111111-11
χ9111111111111111-11-11-11-111111-1-1-1-1111111-1-1-1-1-1-111111-1-1-1-11
χ10111111111111111-11-11-11-111111-1-1-1-1-1-11111-1111-11-1-1-1-1-1-1-111-1
χ11111111111111111-11-11-11-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1
χ12111111111111111-11-11-11-11-1-1-1-11111-1-1-1-1-1-1-1111-1111-1-1-111-1-11
χ13111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111-11-1-1-11-1-111-111
χ14111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-111111-111111-1-1
χ15111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-11-1111-1-1-1-11-1-1
χ16111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111-1-1111-1-1-111-1-1-111
χ1722222222-22-22-2-2-22222-2-2-2-200000000000000-2000200000000000
χ1822222222-22-22-2-2-22-22-2-22-22000000000000002000-200000000000
χ1922222222-22-22-2-2-2-22-222-22-2000000000000002000-200000000000
χ2022222222-22-22-2-2-2-2-2-2-2222200000000000000-2000200000000000
χ212222-2-22-2222-2-2-22020-20-20222-2-200000022-2-20000000000000000
χ222222-2-22-2222-2-2-22020-20-202-2-222000000-2-2220000000000000000
χ232222-2-22-2222-2-2-220-202020-222-2-2000000-2-2220000000000000000
χ242222-2-22-2222-2-2-220-202020-2-2-22200000022-2-20000000000000000
χ252222-2-22-2-22-2-222-2020-2020-200002i2i−2i−2i000000000000000002i−2i000
χ262222-2-22-2-22-2-222-2020-2020-20000−2i−2i2i2i00000000000000000−2i2i000
χ272222-2-22-2-22-2-222-20-2020-20200002i2i−2i−2i00000000000000000−2i2i000
χ282222-2-22-2-22-2-222-20-2020-2020000−2i−2i2i2i000000000000000002i−2i000
χ292222-2-2-222-2222-2-220-20-202000000000220000000-20200-20000000
χ302222-2-2-222-2222-2-220-20-202000000000-2-2000000020-20020000000
χ312222-2-2-222-2222-2-2-202020-200000000022000000020-200-20000000
χ322222-2-2-222-2222-2-2-202020-2000000000-2-20000000-2020020000000
χ332222-2-2-22-2-2-22-22220-2020-200000000000000002-20000002-200000
χ342222-2-2-22-2-2-22-22220-2020-20000000000000000-22000000-2200000
χ352222-2-2-22-2-2-22-222-2020-20200000000000000002-2000000-2200000
χ362222-2-2-22-2-2-22-222-2020-2020000000000000000-220000002-200000
χ37444444-4-44-44-4-44-400000000000000000000000000000000000000
χ38444444-4-4-4-4-4-44-4400000000000000000000000000000000000000
χ3944-4-44-44-40-4040000000000000002i2−2i22i2−2i20000000000000000000000
χ4044-4-44-44-40-404000000000000000−2i22i2−2i22i20000000000000000000000
χ4144-4-44-4-44040-40000000000022−2222−2200000000000000000000000000
χ4244-4-44-4-44040-400000000000−2222−222200000000000000000000000000
χ4344-4-4-44440-40-400000000000000022−22−22220000000000000000000000
χ4444-4-4-44440-40-4000000000000000−222222−220000000000000000000000
χ4544-4-4-44-4-404040000000000022−22−222200000000000000000000000000
χ4644-4-4-44-4-4040400000000000−222222−2200000000000000000000000000
χ474-4-440000-4040000000000000000000022−220022−220000002-200000000
χ484-4-440000-4040000000000000000000022−2200−2222000000-2200000000
χ494-4-440000-40400000000000000000000−22220022−22000000-2200000000
χ504-4-440000-40400000000000000000000−222200−22220000002-200000000
χ518-88-8000000000000000000000000000004i−4i000000000000000000
χ528-88-800000000000000000000000000000−4i4i000000000000000000
χ538-8-88000080-8000000000000000000000000000000000000000000

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