Finite Group Databasebeta

← Group #255245

Character table — Group #255245

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122224444444444888888888888888881616161616161616161616161616161616161616
order12222222222222224444444444444444444444424444444444488888888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1111-1-1111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ4111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-111111111-1-1-1-1
χ51111111111111111111111-1-1111-1-11111111111-1-1-11-1-11-11111-1-1-1-1-1-1-1-1
χ61111111111111111111111-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-111111111
χ71111111111111111111111-1-1-1-11-1-1-1-111111111-11-1-111-11-1-1-1-11111-1-1-1-1
χ81111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-111111-1-1-1-11111
χ9111111111111-1-1-1-11-1-11111111-111-1-11111-1-1-1-1-1-1-1-11-11111-1-111-1-111-1-1
χ10111111111111-1-1-1-11-1-11111111-111-1-1-1-1-1-11111-1-1-1-11-111-1-111-1-111-1-111
χ11111111111111-1-1-1-11-1-111111-1-1-111111111-1-1-1-1-11-11-11-1-1-1-111-1-11111-1-1
χ12111111111111-1-1-1-11-1-111111-1-1-11111-1-1-1-11111-11-11-11-1-111-1-111-1-1-1-111
χ13111111111111-1-1-1-11-1-1111-1-111-1-1-1-1-11111-1-1-1-1111-1-111-111-1-1-1-111-1-111
χ14111111111111-1-1-1-11-1-1111-1-111-1-1-1-1-1-1-1-1-11111111-1-111-1-1-11111-1-111-1-1
χ15111111111111-1-1-1-11-1-1111-1-1-1-1-1-1-1111111-1-1-1-11-1111-1-11-1-11111-1-1-1-111
χ16111111111111-1-1-1-11-1-1111-1-1-1-1-1-1-111-1-1-1-111111-1111-1-1111-1-1-1-11111-1-1
χ172222222222222222-2-2-2-2-2-20022-200-2-200000000000200-20000000000000
χ182222222222222222-2-2-2-2-2-200-2-2-2002200000000000-20020000000000000
χ19222222222222-2-2-2-2-222-2-2-200222002200000000000-200-20000000000000
χ20222222222222-2-2-2-2-222-2-2-200-2-2200-2-20000000000020020000000000000
χ2122222222-2-2-2-222-2-2222-2-222200-2-2-20000000000-20200000000000000000
χ2222222222-2-2-2-222-2-2222-2-22-2-200-222000000000020-200000000000000000
χ2322222222-2-2-2-222-2-2-2-2-222-2000020000000000000200-2-202000000000000
χ2422222222-2-2-2-222-2-2-2-2-222-2000020000000000000-200220-2000000000000
χ2522222222-2-2-2-2-2-2222-2-2-2-2222002-2-2000000000020-200000000000000000
χ2622222222-2-2-2-2-2-2222-2-2-2-22-2-2002220000000000-20200000000000000000
χ2722222222-2-2-2-2-2-222-22222-20000-200000000000002002-20-2000000000000
χ2822222222-2-2-2-2-2-222-22222-20000-20000000000000-200-2202000000000000
χ292-2-222-22-22-22-200002002-2-22-20002-20000002i2i−2i−2i0000000000000000002i−2i
χ302-2-222-22-22-22-200002002-2-22-20002-2000000−2i−2i2i2i000000000000000000−2i2i
χ312-2-222-22-22-22-200002002-2-2-22000-220000002i2i−2i−2i000000000000000000−2i2i
χ322-2-222-22-22-22-200002002-2-2-22000-22000000−2i−2i2i2i0000000000000000002i−2i
χ332-2-222-22-2-22-220000200-22-22-2000-22002i2i−2i−2i000000000000000000002i−2i00
χ342-2-222-22-2-22-220000200-22-22-2000-2200−2i−2i2i2i00000000000000000000−2i2i00
χ352-2-222-22-2-22-220000200-22-2-220002-2002i2i−2i−2i00000000000000000000−2i2i00
χ362-2-222-22-2-22-220000200-22-2-220002-200−2i−2i2i2i000000000000000000002i−2i00
χ374444-4-4-4-40000004-400000000000000000000000000000002-22-200000000
χ384444-4-4-4-40000004-40000000000000000000000000000000-22-2200000000
χ394444-4-4-4-4000000-4400000000000000000000000000000002-2-2200000000
χ404444-4-4-4-4000000-440000000000000000000000000000000-222-200000000
χ4144-4-44-4-444-4-44000000000000000000000000000000000000000002i2−2i20000
χ4244-4-44-4-444-4-4400000000000000000000000000000000000000000−2i22i20000
χ4344-4-44-4-44-444-40000000000000000000000000000000000000002i2−2i2000000
χ4444-4-44-4-44-444-4000000000000000000000000000000000000000−2i22i2000000
χ4544-4-4-444-40000000004-40000000000002i−2i2i−2i2i−2i2i−2i00000000000000000000
χ4644-4-4-444-40000000004-4000000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000
χ4744-4-4-444-4000000000-440000000000002i−2i2i−2i−2i2i−2i2i00000000000000000000
χ4844-4-4-444-4000000000-44000000000000−2i2i−2i2i2i−2i2i−2i00000000000000000000
χ494-44-444-4-444-4-40000000000004-4000000000000000000000000000000000
χ504-44-444-4-444-4-4000000000000-44000000000000000000000000000000000
χ514-44-444-4-4-4-444000000000000000004i−4i0000000000000000000000000000
χ524-44-444-4-4-4-44400000000000000000−4i4i0000000000000000000000000000
χ534-44-4-4-44400004-4000000000000000002-2-222-2-2200000000000000000000
χ544-44-4-4-44400004-400000000000000000-222-2-222-200000000000000000000
χ554-44-4-4-4440000-44000000000000000002-2-22-222-200000000000000000000
χ564-44-4-4-4440000-4400000000000000000-222-22-2-2200000000000000000000
χ574-4-444-44-44-44-40000-400-4440000000000000000000000000000000000000
χ584-4-444-44-4-44-440000-4004-440000000000000000000000000000000000000
χ598-8-88-88-88000000000000000000000000000000000000000000000000000

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