Finite Group Databasebeta

← Group #325880

Character table — Group #325880

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111111112222222244444488888888888888888816161616161616161616161632323232
order12222222444444444488884444888888888888884444448888884444
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-111-1-1-111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-11111-1-1-1-11-1-1111-1-1-1-1-1-111-1-1
χ41111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ51111111111111111111111-1-1-1-1111111-1-1-1-111111-1-1111-1-11111-1-1-1-1
χ61111111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ81111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111111111-1-1
χ9111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11-11-1
χ10111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-111-111-1-1-1-111-11-11
χ11111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-1-11-1-111-1-1111-1-11
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-111-1
χ13111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-11-1-11111-1-1-11-11
χ14111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1111-11-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-111-1-111-1-11-1-11
χ17222222222-222-2-22-2-2-2000022-2-20022-2-20000000002-20000000000000
χ18222222222-222-2-22-2-2-2000022-2-200-2-222000000000-220000000000000
χ19222222222-222-2-22-2-2-20000-2-2220022-2-2000000000-220000000000000
χ20222222222-222-2-22-2-2-20000-2-22200-2-2220000000002-20000000000000
χ2122222222-22-2-222-22-2-222220000-2-2000000000000200-22-20000000000
χ2222222222-22-2-222-22-2-222220000-2-2000000000000-2002-220000000000
χ2322222222-22-2-222-22-2-2-2-2-2-2000022000000000000200-2-220000000000
χ2422222222-22-2-222-22-2-2-2-2-2-2000022000000000000-20022-20000000000
χ252222-2-2-2-22-2-2-2222-22-222-2-200002-2000000000000000000002-22-20000
χ262222-2-2-2-22-2-2-2222-22-222-2-200002-200000000000000000000-22-220000
χ272222-2-2-2-22-2-2-2222-22-2-2-2220000-22000000000000000000002-2-220000
χ282222-2-2-2-22-2-2-2222-22-2-2-2220000-2200000000000000000000-222-20000
χ292222-2-2-2-2-2222-2-2-222-200000000002-22-222-2-200000000002-200000000
χ302222-2-2-2-2-2222-2-2-222-200000000002-22-2-2-2220000000000-2200000000
χ312222-2-2-2-2-2222-2-2-222-20000000000-22-2222-2-20000000000-2200000000
χ322222-2-2-2-2-2222-2-2-222-20000000000-22-22-2-22200000000002-200000000
χ332222-2-2-2-2-2-22222-2-2-2222-2-20000-222-2-22000022-2-20000000000000000
χ342222-2-2-2-2-2-22222-2-2-2222-2-20000-22-222-20000-2-2220000000000000000
χ352222-2-2-2-2-2-22222-2-2-22-2-22200002-22-2-220000-2-2220000000000000000
χ362222-2-2-2-2-2-22222-2-2-22-2-22200002-2-222-2000022-2-20000000000000000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000
χ384444-4-4-4-444-4-4-4-444-4400000000000000000000000000000000000000
χ3944-4-444-4-404004-40-40000000000000000000022−2222−220000000000000000
χ4044-4-444-4-404004-40-400000000000000000000−2222−22220000000000000000
χ4144-4-444-4-40-400-4404004i−4i4i−4i0000000000000000000000000000000000
χ4244-4-444-4-40-400-440400−4i4i−4i4i0000000000000000000000000000000000
χ4344-4-4-4-4440400-440-4004i−4i−4i4i0000000000000000000000000000000000
χ4444-4-4-4-4440400-440-400−4i4i4i−4i0000000000000000000000000000000000
χ4544-4-4-4-4440-4004-4040000000000000000000022−22−22220000000000000000
χ4644-4-4-4-4440-4004-40400000000000000000000−222222−220000000000000000
χ474-44-44-44-4404-400-40000000000000000022−2222−2200000000000000000000
χ484-44-44-44-4404-400-400000000000000000−2222−222200000000000000000000
χ494-44-44-44-4-40-440040000000004i−4i000000000000000000000000000000
χ504-44-44-44-4-40-44004000000000−4i4i000000000000000000000000000000
χ514-44-4-44-4440-4400-400000004i−4i00000000000000000000000000000000
χ524-44-4-44-4440-4400-40000000−4i4i00000000000000000000000000000000
χ534-44-4-44-44-404-40040000000000000000022−22−222200000000000000000000
χ544-44-4-44-44-404-400400000000000000000−222222−2200000000000000000000
χ558-8-888-8-88000000000000000000000000000000000000000000000000
χ568-8-88-888-8000000000000000000000000000000000000000000000000

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