Finite Group Databasebeta

← Group #325891

Character table — Group #325891

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111111112222222244444488888888888888888816161616161616161616161632323232
order12222222444444444488884444888888888888884444448888884444
χ111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-11-1-111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-11111-1-1-1-1-111-111-1-1-1-1-1-1-111-1
χ41111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-11
χ51111111111111111111111-1-1-1-1111111-1-1-1-11111-111-111-1-11111-1-1-1-1
χ61111111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-11
χ81111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1111111-111-1
χ9111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111-111-1-1-111-1-111-1-1
χ10111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11-111-11-1-1-1-111-1-111
χ11111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-1-11-111-1-111-11-11
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11-1-111111-1-11-11-1
χ13111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-1-11-11111-1-1-1-111
χ14111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11-1-1111-1-11111-1-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1-1-1-1-1111-11-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-11-1-111-1-1-11-11
χ172222222222-2-222-2-2-2-2000022-2-20022-2-200000000200-2000000000000
χ182222222222-2-222-2-2-2-2000022-2-200-2-22200000000-2002000000000000
χ192222222222-2-222-2-2-2-20000-2-2220022-2-200000000-2002000000000000
χ202222222222-2-222-2-2-2-20000-2-22200-2-22200000000200-2000000000000
χ2122222222-2-222-2-222-2-222220000-2-200000000000002-20-220000000000
χ2222222222-2-222-2-222-2-222220000-2-20000000000000-2202-20000000000
χ2322222222-2-222-2-222-2-2-2-2-2-20000220000000000000220-2-20000000000
χ2422222222-2-222-2-222-2-2-2-2-2-20000220000000000000-2-20220000000000
χ252222-2-2-2-22222-2-2-2-2-2222-2-200002-22-22-2000022-2-20000000000000000
χ262222-2-2-2-22222-2-2-2-2-2222-2-200002-2-22-220000-2-2220000000000000000
χ272222-2-2-2-22222-2-2-2-2-22-2-2220000-222-22-20000-2-2220000000000000000
χ282222-2-2-2-22222-2-2-2-2-22-2-2220000-22-22-22000022-2-20000000000000000
χ292222-2-2-2-222-2-2-2-2222-200000000002-2-2222-2-200000000002-200000000
χ302222-2-2-2-222-2-2-2-2222-200000000002-2-22-2-2220000000000-2200000000
χ312222-2-2-2-222-2-2-2-2222-20000000000-222-222-2-20000000000-2200000000
χ322222-2-2-2-222-2-2-2-2222-20000000000-222-2-2-22200000000002-200000000
χ332222-2-2-2-2-2-22222-2-22-222-2-20000-22000000000000000000002-22-20000
χ342222-2-2-2-2-2-22222-2-22-222-2-20000-2200000000000000000000-22-220000
χ352222-2-2-2-2-2-22222-2-22-2-2-22200002-2000000000000000000002-2-220000
χ362222-2-2-2-2-2-22222-2-22-2-2-22200002-200000000000000000000-222-20000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000
χ384444-4-4-4-4-4-4-4-44444-4400000000000000000000000000000000000000
χ3944-4-444-4-44-4004-400000000000000000022−2222−2200000000000000000000
χ4044-4-444-4-44-4004-4000000000000000000−2222−222200000000000000000000
χ4144-4-444-4-4-4400-44000000004-400000000000000000000000000000000
χ4244-4-444-4-4-4400-4400000000-4400000000000000000000000000000000
χ4344-4-4-4-4444-400-4400000000000000000022−22−222200000000000000000000
χ4444-4-4-4-4444-400-44000000000000000000−222222−2200000000000000000000
χ4544-4-4-4-444-44004-400000000004-4000000000000000000000000000000
χ4644-4-4-4-444-44004-40000000000-44000000000000000000000000000000
χ474-44-44-4-44004-4004-4000000000000000000002i2−2i22i2−2i20000000000000000
χ484-44-44-4-44004-4004-400000000000000000000−2i22i2−2i22i20000000000000000
χ494-44-44-4-4400-4400-44004i−4i4i−4i0000000000000000000000000000000000
χ504-44-44-4-4400-4400-4400−4i4i−4i4i0000000000000000000000000000000000
χ514-44-4-444-4004-400-44000000000000000000002i2−2i2−2i22i20000000000000000
χ524-44-4-444-4004-400-4400000000000000000000−2i22i22i2−2i20000000000000000
χ534-44-4-444-400-44004-4004i−4i−4i4i0000000000000000000000000000000000
χ544-44-4-444-400-44004-400−4i4i4i−4i0000000000000000000000000000000000
χ558-8-888-88-8000000000000000000000000000000000000000000000000
χ568-8-88-88-88000000000000000000000000000000000000000000000000

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