Finite Group Databasebeta

← Group #500791

Character table — Group #500791

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111122224444444444444888888888888888888888816161616161616161632323232
order12222244444444444444422444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1
χ3111111111111111111111-1-1-1-111-1-111-1-1111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111
χ51111111111111-1-1-1-1111111111111-1-111-1-11111-1-1-1-1-111-1-1-1-1-1-111-1-1
χ61111111111111-1-1-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-111-1-1-1-1-1-111
χ71111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-11111-1-111
χ81111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111111111-1-1
χ9111111-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-111-1-111-1-1-11-11-111-1-11-11-1
χ10111111-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11-1111-1-1-11-11
χ11111111-1-1-1-1-11111111111-1-111-1-11111-1-1-1-111-1-111-1-1-11-11-1-1-111-11-11
χ12111111-1-1-1-1-11111111111-1-111-1-11111-1-1-1-1-1-111-1-111-1-11-11-1-1111-11-1
χ13111111-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11-1-1111-1-11
χ14111111-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-11-111-1-1-111-111-1
χ15111111-1-1-1-1-111-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1111-1-1-111-1
χ16111111-1-1-1-1-111-1-1-1-11111-1-111-1-111-1-1-1-111-1-11111-1-11-111-111-1-11-1-11
χ1722222222222-2-2222222-2-20000-2-200-2-2002200000000-2000000000000
χ1822222222222-2-2-2-2-2-222-2-20000-2-2002200-2-2000000002000000000000
χ19222222222-2-22-20000-2-22-200002-20000000000002222000-2-200000000
χ20222222222-2-22-20000-2-22-200002-2000000000000-2-2-2-20002200000000
χ21222222222-2-2-220000-2-2-220000-2200000000222200000-2-20000000000
χ22222222222-2-2-220000-2-2-220000-2200000000-2-2-2-200000220000000000
χ23222222-2-2-2222-20000-2-22-20000-2200000000000022-2-2000-2200000000
χ24222222-2-2-2222-20000-2-22-20000-22000000000000-2-2220002-200000000
χ25222222-2-2-222-220000-2-2-2200002-20000000022-2-200000-220000000000
χ26222222-2-2-222-220000-2-2-2200002-200000000-2-222000002-20000000000
χ27222222-2-2-2-2-2-2-2222222-2-200002200-2-200-2-2000000002000000000000
χ28222222-2-2-2-2-2-2-2-2-2-2-222-2-20000220022002200000000-2000000000000
χ292-2-22-22000002222-2-22-2-2-2002i−2i002i−2i2-200000000000000000002i−2i0000
χ302-2-22-22000002222-2-22-2-2-200−2i2i00−2i2i2-20000000000000000000−2i2i0000
χ312-2-22-220000022-2-2222-2-2-2002i−2i002i−2i-220000000000000000000−2i2i0000
χ322-2-22-220000022-2-2222-2-2-200−2i2i00−2i2i-2200000000000000000002i−2i0000
χ332-2-22-2200000-2-222-2-22-2222-2000000-222-20000000000000002-2000000
χ342-2-22-2200000-2-222-2-22-222-22000000-22-22000000000000000-22000000
χ352-2-22-2200000-2-2-2-2222-2222-20000002-22-2000000000000000-22000000
χ362-2-22-2200000-2-2-2-2222-222-220000002-2-220000000000000002-2000000
χ374444-4-444-4000000000000222200-2-200-2-200000000000000000000000
χ384444-4-444-4000000000000-2-2-2-20022002200000000000000000000000
χ394444-4-4-4-4400000000000022-2-2002200-2-200000000000000000000000
χ404444-4-4-4-44000000000000-2-22200-2-2002200000000000000000000000
χ4144-4-4004-4000002-22-200000000000000002-22-22-22-22-20000000000000
χ4244-4-4004-4000002-22-200000000000000002-2-22-22-22-220000000000000
χ4344-4-4004-400000-22-220000000000000000-222-22-2-22-220000000000000
χ4444-4-4004-400000-22-220000000000000000-22-22-222-22-20000000000000
χ4544-4-400-44000002-22-20000000000000000-222-2-222-2-220000000000000
χ4644-4-400-44000002-22-20000000000000000-22-222-2-222-20000000000000
χ4744-4-400-4400000-22-2200000000000000002-22-2-22-222-20000000000000
χ4844-4-400-4400000-22-2200000000000000002-2-222-22-2-220000000000000
χ494-4-444-40004i−4i00000000002-22i−2i00−2i2i00-2200000000000000000000000
χ504-4-444-40004i−4i0000000000-22−2i2i002i−2i002-200000000000000000000000
χ514-4-444-4000−4i4i00000000002-2−2i2i002i−2i00-2200000000000000000000000
χ524-4-444-4000−4i4i0000000000-222i−2i00−2i2i002-200000000000000000000000
χ534-4-44-44000004-40000-44-4400000000000000000000000000000000000
χ544-4-44-4400000-440000-444-400000000000000000000000000000000000
χ558-88-80000000004-4-44000000000000000000000000000000000000000
χ568-88-8000000000-444-4000000000000000000000000000000000000000

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