Finite Group Databasebeta

← Group #268189

Character table — Group #268189

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size111111112222444444444488888888888888888888816161616161616161616161616163232
order12222222444444444444442444488888888888888882444444444888844
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ4111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ511111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-11-1-1-1-11-11111-1-1
χ611111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-111-1-1-11-1-1-1-111
χ711111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-11-1-1-1-11-1-1-1-1-111
χ811111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-111-1-1-111111-1-1
χ911111111-1-1-1-111-1-1-1-11111-111111111-1-1-1-11111-1-1-1-11-1-1-11-1-1-11111-1-11-1
χ1011111111-1-1-1-111-1-1-1-11111-111111111-1-1-1-11111-1-1-1-1-1111-11-1-1-1-1-1-111-11
χ1111111111-1-1-1-111-1-1-1-11111-11111-1-1-1-11111-1-1-1-111111-1-1-11-1-1-111-1-111-11
χ1211111111-1-1-1-111-1-1-1-11111-11111-1-1-1-11111-1-1-1-11111-1111-11-1-1-1-111-1-11-1
χ1311111111-1-1-1-111-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1-1-1-111111-11-1-11111-111-1-1-11
χ1411111111-1-1-1-111-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11-111-111-11-1-1111-1
χ1511111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-111111111-1-1-1-11-11-1-11111-1-1-1111-1
χ1611111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-111-111-1111-1-1-11
χ172222222222222-222-2-2-2-22-2-20000000000000000000000202-2000-2000000
χ182222222222222-222-2-2-2-22-2-20000000000000000000000-20-220002000000
χ19222222222222-22-2-222-2-2-22-200000000000000000000220-20000-20000000
χ20222222222222-22-2-222-2-2-22-200000000000000000000-2-202000020000000
χ21222222222222-2-2-2-2-2-222-2-2222-2-200000000000000000000002-200000000
χ22222222222222-2-2-2-2-2-222-2-22-2-2220000000000000000000000-2200000000
χ2322222222-2-2-2-22-2-2-222-2-22-22000000000000000000000020-2-20002000000
χ2422222222-2-2-2-22-2-2-222-2-22-220000000000000000000000-2022000-2000000
χ2522222222-2-2-2-2-2222-2-2-2-2-222000000000000000000002-2020000-20000000
χ2622222222-2-2-2-2-2222-2-2-2-2-22200000000000000000000-220-2000020000000
χ2722222222-2-2-2-2-2-2222222-2-2-222-2-20000000000000000000000-2200000000
χ2822222222-2-2-2-2-2-2222222-2-2-2-2-22200000000000000000000002-200000000
χ292-2-22-2-22200002200002-2-2-202-22-22i2i−2i−2i00002i2i−2i−2i00000000000000000000
χ302-2-22-2-22200002200002-2-2-202-22-2−2i−2i2i2i0000−2i−2i2i2i00000000000000000000
χ312-2-22-2-22200002200002-2-2-20-22-222i2i−2i−2i0000−2i−2i2i2i00000000000000000000
χ322-2-22-2-22200002200002-2-2-20-22-22−2i−2i2i2i00002i2i−2i−2i00000000000000000000
χ332-2-22-2-2220000-2-200002-22202-2-22000022-2-2000022-2-20000000000000000
χ342-2-22-2-2220000-2-200002-22202-2-220000-2-2220000-2-2220000000000000000
χ352-2-22-2-2220000-2-200002-2220-222-2000022-2-20000-2-2220000000000000000
χ362-2-22-2-2220000-2-200002-2220-222-20000-2-222000022-2-20000000000000000
χ374444-4-4-4-444-4-4000000000000000000000000000000000000000002-22-200
χ384444-4-4-4-444-4-400000000000000000000000000000000000000000-22-2200
χ394444-4-4-4-4-4-444000000000000000000000000000000000000000002-2-2200
χ404444-4-4-4-4-4-44400000000000000000000000000000000000000000-222-200
χ4144-4-44-44-4000000004-40000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ4244-4-44-44-4000000004-4000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ4344-4-44-44-400000000-440000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000
χ4444-4-44-44-400000000-44000000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000
χ4544-4-4-44-440000004-400000000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000
χ4644-4-4-44-440000004-40000000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000
χ4744-4-4-44-44000000-4400000000000000000002i−2i2i−2i−2i2i−2i2i0000000000000000
χ4844-4-4-44-44000000-440000000000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000
χ494-44-44-4-444i−4i4i−4i000000000000000000000002-2-222i−2i−2i2i0000000000000000
χ504-44-44-4-444i−4i4i−4i00000000000000000000000-222-2−2i2i2i−2i0000000000000000
χ514-44-44-4-44−4i4i−4i4i000000000000000000000002-2-22−2i2i2i−2i0000000000000000
χ524-44-44-4-44−4i4i−4i4i00000000000000000000000-222-22i−2i−2i2i0000000000000000
χ534-44-4-444-44i−4i−4i4i0000000000000002-2-222i−2i−2i2i000000000000000000000000
χ544-44-4-444-44i−4i−4i4i000000000000000-222-2−2i2i2i−2i000000000000000000000000
χ554-44-4-444-4−4i4i4i−4i0000000000000002-2-22−2i2i2i−2i000000000000000000000000
χ564-44-4-444-4−4i4i4i−4i000000000000000-222-22i−2i−2i2i000000000000000000000000
χ574-4-44-4-44400004-40000-44-440000000000000000000000000000000000000
χ584-4-44-4-4440000-440000-444-40000000000000000000000000000000000000
χ598-8-8888-8-8000000000000000000000000000000000000000000000000000

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