Finite Group Databasebeta

← Group #16173

Character table — Group #16173

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size1111111111111111444444444444444444444444888888888888888888
order1222222222222222444444444444444444444444444444444444444444
χ11111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-1-1-1
χ611111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-11111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1111111-1-1-1-1
χ91111111111111111-1-1-1-111111111-1-1-1-111111111-1-111-1-1-1-111-1-1-1-111-1-1
χ101111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-111
χ111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-111
χ121111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-111-1-1
χ131111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-111-1-1-1-111
χ141111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1
χ151111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1111111-1-1
χ161111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-1-1-111
χ17222-2222-2-2-2-2-2-222-2000022-2-22i2i−2i−2i000000000000002i−2i00000000000000
χ18222-2222-2-2-2-2-2-222-2000022-2-2−2i−2i2i2i00000000000000−2i2i00000000000000
χ19222-2222-2-2-2-2-2-222-20000-2-2222i2i−2i−2i00000000000000−2i2i00000000000000
χ20222-2222-2-2-2-2-2-222-20000-2-222−2i−2i2i2i000000000000002i−2i00000000000000
χ2122-222-2-222-2-2-2-22-2200002-22-2000000002i2i−2i−2i0000000000002i−2i00000000
χ2222-222-2-222-2-2-2-22-2200002-22-200000000−2i−2i2i2i000000000000−2i2i00000000
χ2322-222-2-222-2-2-2-22-220000-22-22000000002i2i−2i−2i000000000000−2i2i00000000
χ2422-222-2-222-2-2-2-22-220000-22-2200000000−2i−2i2i2i0000000000002i−2i00000000
χ2522-22-22-2-2-222-2-2-2222i2i−2i−2i00002-22-20000000000002i−2i0000000000000000
χ2622-22-22-2-2-222-2-2-2222i2i−2i−2i0000-22-22000000000000−2i2i0000000000000000
χ2722-22-22-2-2-222-2-2-222−2i−2i2i2i00002-22-2000000000000−2i2i0000000000000000
χ2822-22-22-2-2-222-2-2-222−2i−2i2i2i0000-22-220000000000002i−2i0000000000000000
χ2922-2-22-2-2-2-222222-2-200002-2-220000000000002i2i−2i−2i000000000000002i−2i00
χ3022-2-22-2-2-2-222222-2-200002-2-22000000000000−2i−2i2i2i00000000000000−2i2i00
χ3122-2-22-2-2-2-222222-2-20000-222-20000000000002i2i−2i−2i00000000000000−2i2i00
χ3222-2-22-2-2-2-222222-2-20000-222-2000000000000−2i−2i2i2i000000000000002i−2i00
χ3322-2-2-22-222-2-222-22-2000000002i−2i−2i2i22-2-20000000000002i−2i000000000000
χ3422-2-2-22-222-2-222-22-2000000002i−2i−2i2i-2-222000000000000−2i2i000000000000
χ3522-2-2-22-222-2-222-22-200000000−2i2i2i−2i22-2-2000000000000−2i2i000000000000
χ3622-2-2-22-222-2-222-22-200000000−2i2i2i−2i-2-2220000000000002i−2i000000000000
χ372-222-2-2-22-22-22-222-22i−2i2i−2i0000000000002-22-200000000002i−2i0000000000
χ382-222-2-2-22-22-22-222-22i−2i2i−2i000000000000-22-220000000000−2i2i0000000000
χ392-222-2-2-22-22-22-222-2−2i2i−2i2i0000000000002-22-20000000000−2i2i0000000000
χ402-222-2-2-22-22-22-222-2−2i2i−2i2i000000000000-22-2200000000002i−2i0000000000
χ412-22-222-22-22-2-22-2-220000000000002i−2i2i−2i00002-22-200000000000000002i−2i
χ422-22-222-22-22-2-22-2-220000000000002i−2i2i−2i0000-22-220000000000000000−2i2i
χ432-22-222-22-22-2-22-2-22000000000000−2i2i−2i2i00002-22-20000000000000000−2i2i
χ442-22-222-22-22-2-22-2-22000000000000−2i2i−2i2i0000-22-2200000000000000002i−2i
χ452-2-222-22-222-2-22-22-22-2-2200000000000000002i−2i−2i2i0000000000002i−2i0000
χ462-2-222-22-222-2-22-22-22-2-220000000000000000−2i2i2i−2i000000000000−2i2i0000
χ472-2-222-22-222-2-22-22-2-222-200000000000000002i−2i−2i2i000000000000−2i2i0000
χ482-2-222-22-222-2-22-22-2-222-20000000000000000−2i2i2i−2i0000000000002i−2i0000
χ492-2-22-2222-2-22-222-2-20000000000002i−2i−2i2i2i−2i−2i2i000000000000002-2000000
χ502-2-22-2222-2-22-222-2-20000000000002i−2i−2i2i−2i2i2i−2i00000000000000-22000000
χ512-2-22-2222-2-22-222-2-2000000000000−2i2i2i−2i2i−2i−2i2i00000000000000-22000000
χ522-2-22-2222-2-22-222-2-2000000000000−2i2i2i−2i−2i2i2i−2i000000000000002-2000000
χ534444-4-44-4-4-4-444-4-44000000000000000000000000000000000000000000
χ54444-4-4-444444-4-4-4-4-4000000000000000000000000000000000000000000
χ554-44444-4-44-444-4-4-4-4000000000000000000000000000000000000000000
χ564-44-4-4-4-4-44-44-44444000000000000000000000000000000000000000000
χ574-4-4-44-444-4-444-4-444000000000000000000000000000000000000000000
χ584-4-4-4-444-444-44-44-44000000000000000000000000000000000000000000

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