Finite Group Databasebeta

← Group #276089

Character table — Group #276089

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444444488888888888888888161616161616161616161616161616163232
order12222222444444444444444444444444488888888224488888888888822
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ61111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1
χ71111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ81111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111
χ91111111111111111-1-1-1-111-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-11-1
χ101111111111111111-1-1-1-111-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-111-11
χ111111111111111111-1-1-1-111-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-11
χ121111111111111111-1-1-1-111-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111-1-11-1
χ131111111111111111-1-1-1-111-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-111-1-1111-1
χ141111111111111111-1-1-1-111-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-111-1-1-11
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-11111-1-1-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1-1-1111-1
χ17222222222-2-2-2-222222-2-2-2-222-222-2-222-2-200000000000000000000000000
χ18222222222-2-2-2-222222-2-2-2-222-2-2-222-2-22200000000000000000000000000
χ19222222222-2-2-2-2222-2-222-2-2-2-2222-2-2-2-22200000000000000000000000000
χ20222222222-2-2-2-2222-2-222-2-2-2-22-2-22222-2-200000000000000000000000000
χ2122222222-22222-2-2-22222-2-2-2-2-20000000022-2-222-2-2000000000000000000
χ2222222222-22222-2-2-22222-2-2-2-2-200000000-2-222-2-222000000000000000000
χ2322222222-22222-2-2-2-2-2-2-2-2-22220000000022-2-2-2-222000000000000000000
χ2422222222-22222-2-2-2-2-2-2-2-2-222200000000-2-22222-2-2000000000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-222-2-22000000000000000000002i−2i2i−2i0000000000
χ2622222222-2-2-2-2-2-2-2-222-2-222-2-2200000000000000000000−2i2i−2i2i0000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2222222-2000000000000000000002i−2i−2i2i0000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2222222-200000000000000000000−2i2i2i−2i0000000000
χ2922-2-222-2-2222-2-22-2-200002-200000002i−2i2i−2i000000002-2000000002i−2i000000
χ3022-2-222-2-2222-2-22-2-200002-200000002i−2i2i−2i00000000-2200000000−2i2i000000
χ3122-2-222-2-2222-2-22-2-200002-20000000−2i2i−2i2i000000002-200000000−2i2i000000
χ3222-2-222-2-2222-2-22-2-200002-20000000−2i2i−2i2i00000000-22000000002i−2i000000
χ3322-2-222-2-22-2-2222-2-20000-2200000002i−2i−2i2i00000000002i−2i00002-200000000
χ3422-2-222-2-22-2-2222-2-20000-2200000002i−2i−2i2i0000000000−2i2i0000-2200000000
χ3522-2-222-2-22-2-2222-2-20000-220000000−2i2i2i−2i00000000002i−2i0000-2200000000
χ3622-2-222-2-22-2-2222-2-20000-220000000−2i2i2i−2i0000000000−2i2i00002-200000000
χ374444-4-4-4-404-44-40000000000000000000000000000000000000000002i2−2i200
χ384444-4-4-4-404-44-4000000000000000000000000000000000000000000−2i22i200
χ394444-4-4-4-40-44-4400000000000000000000000000000000000000002i2−2i20000
χ404444-4-4-4-40-44-440000000000000000000000000000000000000000−2i22i20000
χ4144-4-444-4-4-444-4-4-4440000-440000000000000000000000000000000000000
χ4244-4-444-4-4-4-4-444-44400004-40000000000000000000000000000000000000
χ4344-4-4-4-44404-4-44000000000000000000004-4000000000000000000000000
χ4444-4-4-4-44404-4-4400000000000000000000-44000000000000000000000000
χ4544-4-4-4-4440-444-40000000000000000000000004-400000000000000000000
χ4644-4-4-4-4440-444-4000000000000000000000000-4400000000000000000000
χ474-44-44-44-440000-44-40000000004i−4i00000000000000000000000000000000
χ484-44-44-44-440000-44-4000000000−4i4i00000000000000000000000000000000
χ494-44-44-44-4-400004-44000000000004-4000000000000000000000000000000
χ504-44-44-44-4-400004-4400000000000-44000000000000000000000000000000
χ514-44-4-44-4400000000004-400000000000000022−220022−22000000000000000000
χ524-44-4-44-4400000000004-4000000000000000−222200−2222000000000000000000
χ534-44-4-44-440000000000-4400000000000000022−2200−2222000000000000000000
χ544-44-4-44-440000000000-44000000000000000−22220022−22000000000000000000
χ554-4-444-4-4440000-4-444-400004-400000000000000000000000000000000000
χ564-4-444-4-4440000-4-44-440000-4400000000000000000000000000000000000
χ574-4-444-4-44-4000044-44-40000-4400000000000000000000000000000000000
χ584-4-444-4-44-4000044-4-4400004-400000000000000000000000000000000000
χ598-8-88-888-8000000000000000000000000000000000000000000000000000

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