Finite Group Databasebeta

← Group #14756

Character table — Group #14756

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64
size1111111111111111222222224444444444444444444444448888888888888888
order1222222222222222444444442222444444444444444444442244444444444444
χ11111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111
χ5111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1
χ6111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ91111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-111
χ101111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-1
χ111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ121111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ131111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1
χ141111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111
χ151111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111
χ161111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111111111-1-1-1-1-1-1
χ1722222-2-222-2-2-2-2-2-220000000022-2-200002i2i−2i−2i2i2i−2i−2i000000000000000000000000
χ1822222-2-222-2-2-2-2-2-220000000022-2-20000−2i−2i2i2i−2i−2i2i2i000000000000000000000000
χ1922222-2-222-2-2-2-2-2-2200000000-2-22200002i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ2022222-2-222-2-2-2-2-2-2200000000-2-2220000−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ212222-22-2-2-22-2-2-222-22i2i2i2i−2i−2i−2i−2i0000000000000000000000000000002i−2i00002-200
χ222222-22-2-2-22-2-2-222-22i2i2i2i−2i−2i−2i−2i000000000000000000000000000000−2i2i0000-2200
χ232222-22-2-2-22-2-2-222-2−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000002i−2i0000-2200
χ242222-22-2-2-22-2-2-222-2−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000−2i2i00002-200
χ2522-2-2222-2-222-2-2-2-2222-2-222-2-200002i2i−2i−2i00002i−2i2i−2i000000000000000000000000
χ2622-2-2222-2-222-2-2-2-2222-2-222-2-20000−2i−2i2i2i0000−2i2i−2i2i000000000000000000000000
χ2722-2-2222-2-222-2-2-2-22-2-222-2-22200002i2i−2i−2i0000−2i2i−2i2i000000000000000000000000
χ2822-2-2222-2-222-2-2-2-22-2-222-2-2220000−2i−2i2i2i00002i−2i2i−2i000000000000000000000000
χ2922-2-22-2-2-2-2-2-222222000000000000000000002-2-2222-2-222-2-20000000000000000
χ3022-2-22-2-2-2-2-2-222222000000000000000000002-2-22-2-222-2-2220000000000000000
χ3122-2-22-2-2-2-2-2-22222200000000000000000000-222-222-2-2-2-2220000000000000000
χ3222-2-22-2-2-2-2-2-22222200000000000000000000-222-2-2-22222-2-20000000000000000
χ3322-2-2-22-2222-222-2-2-22i2i−2i−2i−2i−2i2i2i0000000000000000000000002-22i−2i000000000000
χ3422-2-2-22-2222-222-2-2-22i2i−2i−2i−2i−2i2i2i000000000000000000000000-22−2i2i000000000000
χ3522-2-2-22-2222-222-2-2-2−2i−2i2i2i2i2i−2i−2i0000000000000000000000002-2−2i2i000000000000
χ3622-2-2-22-2222-222-2-2-2−2i−2i2i2i2i2i−2i−2i000000000000000000000000-222i−2i000000000000
χ372-22-222-22-2-222-22-2-20000000000002-22-22i−2i2i−2i000000002i−2i2i−2i0000000000000000
χ382-22-222-22-2-222-22-2-20000000000002-22-2−2i2i−2i2i00000000−2i2i−2i2i0000000000000000
χ392-22-222-22-2-222-22-2-2000000000000-22-222i−2i2i−2i00000000−2i2i−2i2i0000000000000000
χ402-22-222-22-2-222-22-2-2000000000000-22-22−2i2i−2i2i000000002i−2i2i−2i0000000000000000
χ412-22-22-222-22-2-22-22-22i−2i2i−2i2i−2i2i−2i000000002-2-2200002i−2i2i−2i00000000000000000000
χ422-22-22-222-22-2-22-22-22i−2i2i−2i2i−2i2i−2i00000000-222-20000−2i2i−2i2i00000000000000000000
χ432-22-22-222-22-2-22-22-2−2i2i−2i2i−2i2i−2i2i000000002-2-220000−2i2i−2i2i00000000000000000000
χ442-22-22-222-22-2-22-22-2−2i2i−2i2i−2i2i−2i2i00000000-222-200002i−2i2i−2i00000000000000000000
χ452-22-2-2-2-2-22222-2-2222-22-2-22-2200000000000000000000000000002-200002-20000
χ462-22-2-2-2-2-22222-2-2222-22-2-22-220000000000000000000000000000-220000-220000
χ472-22-2-2-2-2-22222-2-222-22-222-22-200000000000000000000000000002-20000-220000
χ482-22-2-2-2-2-22222-2-222-22-222-22-20000000000000000000000000000-2200002-20000
χ492-2-2222-2-22-22-22-22-2000000002-22-22i−2i−2i2i000000002i−2i−2i2i00000000000000000000
χ502-2-2222-2-22-22-22-22-2000000002-22-2−2i2i2i−2i00000000−2i2i2i−2i00000000000000000000
χ512-2-2222-2-22-22-22-22-200000000-22-222i−2i−2i2i00000000−2i2i2i−2i00000000000000000000
χ522-2-2222-2-22-22-22-22-200000000-22-22−2i2i2i−2i000000002i−2i−2i2i00000000000000000000
χ532-2-222-22-222-22-22-2-22i−2i−2i2i2i−2i−2i2i2-2-220000000000000000−2i2i2i−2i0000000000000000
χ542-2-222-22-222-22-22-2-22i−2i−2i2i2i−2i−2i2i-222-200000000000000002i−2i−2i2i0000000000000000
χ552-2-222-22-222-22-22-2-2−2i2i2i−2i−2i2i2i−2i2-2-2200000000000000002i−2i−2i2i0000000000000000
χ562-2-222-22-222-22-22-2-2−2i2i2i−2i−2i2i2i−2i-222-20000000000000000−2i2i2i−2i0000000000000000
χ572-2-22-2-2-22-222-222-222-2-22-222-2000000000000000000000000000000002-200002-2
χ582-2-22-2-2-22-222-222-222-2-22-222-200000000000000000000000000000000-220000-22
χ592-2-22-2-2-22-222-222-22-222-22-2-22000000000000000000000000000000002-20000-22
χ602-2-22-2-2-22-222-222-22-222-22-2-2200000000000000000000000000000000-2200002-2
χ614444-4-44-4-4-4444-4-4-4000000000000000000000000000000000000000000000000
χ6244-4-4-4-4444-44-4-444-4000000000000000000000000000000000000000000000000
χ634-44-4-444-44-4-4-444-44000000000000000000000000000000000000000000000000
χ644-4-44-4444-4-4-44-4-444000000000000000000000000000000000000000000000000

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