Finite Group Databasebeta

← Group #15039

Character table — Group #15039

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64
size1111111111111111222222224444444444444444444444448888888888888888
order1222222222222222444444444444444444444444444444444444444444444444
χ11111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-111-1-1
χ91111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1
χ101111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111
χ111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-11111
χ121111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1111111-1-1-1-1
χ131111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ141111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ151111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-11111-1-1
χ161111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-111
χ17222222-2-2-2-2-2-2-2-2222222-2-2-2-2000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000
χ18222222-2-2-2-2-2-2-2-2222222-2-2-2-200000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000
χ19222222-2-2-2-2-2-2-2-222-2-2-2-22222000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ20222222-2-2-2-2-2-2-2-222-2-2-2-2222200000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ2122-22-2-22222-2-2-2-22-200000000000022-2-22i−2i2i−2i000000002i2i−2i−2i0000000000000000
χ2222-22-2-22222-2-2-2-22-200000000000022-2-2−2i2i−2i2i00000000−2i−2i2i2i0000000000000000
χ2322-22-2-22222-2-2-2-22-2000000000000-2-2222i−2i2i−2i00000000−2i−2i2i2i0000000000000000
χ2422-22-2-22222-2-2-2-22-2000000000000-2-222−2i2i−2i2i000000002i2i−2i−2i0000000000000000
χ2522-22-2-2-2-2-2-222222-2000000002i2i−2i−2i00002-2-2200002i2i−2i−2i00000000000000000000
χ2622-22-2-2-2-2-2-222222-2000000002i2i−2i−2i0000-222-20000−2i−2i2i2i00000000000000000000
χ2722-22-2-2-2-2-2-222222-200000000−2i−2i2i2i00002-2-220000−2i−2i2i2i00000000000000000000
χ2822-22-2-2-2-2-2-222222-200000000−2i−2i2i2i0000-222-200002i2i−2i−2i00000000000000000000
χ2922-2-22-222-2-222-2-2-222i2i−2i−2i2i2i−2i−2i0000000000000000000000002-22i−2i000000000000
χ3022-2-22-222-2-222-2-2-222i2i−2i−2i2i2i−2i−2i000000000000000000000000-22−2i2i000000000000
χ3122-2-22-222-2-222-2-2-22−2i−2i2i2i−2i−2i2i2i0000000000000000000000002-2−2i2i000000000000
χ3222-2-22-222-2-222-2-2-22−2i−2i2i2i−2i−2i2i2i000000000000000000000000-222i−2i000000000000
χ3322-2-22-2-2-222-2-222-222i2i−2i−2i−2i−2i2i2i000000000000000000000000000000002-2002i−2i00
χ3422-2-22-2-2-222-2-222-222i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000-2200−2i2i00
χ3522-2-22-2-2-222-2-222-22−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000002-200−2i2i00
χ3622-2-22-2-2-222-2-222-22−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000-22002i−2i00
χ372-222-2-22-22-22-22-2-220000000000002i−2i2i−2i00002-22-22i−2i2i−2i00000000000000000000
χ382-222-2-22-22-22-22-2-220000000000002i−2i2i−2i0000-22-22−2i2i−2i2i00000000000000000000
χ392-222-2-22-22-22-22-2-22000000000000−2i2i−2i2i00002-22-2−2i2i−2i2i00000000000000000000
χ402-222-2-22-22-22-22-2-22000000000000−2i2i−2i2i0000-22-222i−2i2i−2i00000000000000000000
χ412-222-2-2-22-22-22-22-22000000002i−2i2i−2i000000002i−2i−2i2i00002-22-20000000000000000
χ422-222-2-2-22-22-22-22-22000000002i−2i2i−2i00000000−2i2i2i−2i0000-22-220000000000000000
χ432-222-2-2-22-22-22-22-2200000000−2i2i−2i2i000000002i−2i−2i2i0000-22-220000000000000000
χ442-222-2-2-22-22-22-22-2200000000−2i2i−2i2i00000000−2i2i2i−2i00002-22-20000000000000000
χ452-22-22-22-2-22-222-22-22-22-22-22-200000000000000000000000000002i−2i2i−2i00000000
χ462-22-22-22-2-22-222-22-22-22-22-22-20000000000000000000000000000−2i2i−2i2i00000000
χ472-22-22-22-2-22-222-22-2-22-22-22-2200000000000000000000000000002i−2i−2i2i00000000
χ482-22-22-22-2-22-222-22-2-22-22-22-220000000000000000000000000000−2i2i2i−2i00000000
χ492-22-22-2-222-22-2-222-22-22-2-22-2200000000000000000000000000000000002i−2i002i−2i
χ502-22-22-2-222-22-2-222-22-22-2-22-220000000000000000000000000000000000−2i2i00−2i2i
χ512-22-22-2-222-22-2-222-2-22-222-22-200000000000000000000000000000000002i−2i00−2i2i
χ522-22-22-2-222-22-2-222-2-22-222-22-20000000000000000000000000000000000−2i2i002i−2i
χ532-2-22222-22-2-22-22-2-22i−2i−2i2i2i−2i−2i2i2-2-222i−2i−2i2i00000000000000000000000000000000
χ542-2-22222-22-2-22-22-2-22i−2i−2i2i2i−2i−2i2i-222-2−2i2i2i−2i00000000000000000000000000000000
χ552-2-22222-22-2-22-22-2-2−2i2i2i−2i−2i2i2i−2i2-2-22−2i2i2i−2i00000000000000000000000000000000
χ562-2-22222-22-2-22-22-2-2−2i2i2i−2i−2i2i2i−2i-222-22i−2i−2i2i00000000000000000000000000000000
χ572-2-2222-22-222-22-2-2-22i−2i−2i2i−2i2i2i−2i00000000000000002-2-222i−2i−2i2i0000000000000000
χ582-2-2222-22-222-22-2-2-22i−2i−2i2i−2i2i2i−2i0000000000000000-222-2−2i2i2i−2i0000000000000000
χ592-2-2222-22-222-22-2-2-2−2i2i2i−2i2i−2i−2i2i00000000000000002-2-22−2i2i2i−2i0000000000000000
χ602-2-2222-22-222-22-2-2-2−2i2i2i−2i2i−2i−2i2i0000000000000000-222-22i−2i−2i2i0000000000000000
χ61444-4-4444-4-4-4-444-4-4000000000000000000000000000000000000000000000000
χ62444-4-44-4-44444-4-4-4-4000000000000000000000000000000000000000000000000
χ634-4-4-4-444-4-444-4-4444000000000000000000000000000000000000000000000000
χ644-4-4-4-44-444-4-444-444000000000000000000000000000000000000000000000000

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