Finite Group Databasebeta

← Group #14739

Character table — Group #14739

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64
size1111111111111111222222224444444444444444444444448888888888888888
order1222222222222222444444442222444444444444444444442244444444444444
χ11111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ5111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
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
χ91111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-11111-1-1
χ101111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-111
χ111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111
χ121111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-111-1-1-1-1
χ131111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-111
χ141111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1111111-1-1
χ151111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111-1-11111-1-1-1-1
χ161111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-111-1-1-1-11111
χ172222-2-2222-2-2-2-22-2-20000000000002i2i−2i−2i000022-2-200002i2i−2i−2i0000000000000000
χ182222-2-2222-2-2-2-22-2-20000000000002i2i−2i−2i0000-2-2220000−2i−2i2i2i0000000000000000
χ192222-2-2222-2-2-2-22-2-2000000000000−2i−2i2i2i000022-2-20000−2i−2i2i2i0000000000000000
χ202222-2-2222-2-2-2-22-2-2000000000000−2i−2i2i2i0000-2-22200002i2i−2i−2i0000000000000000
χ21222-22-22-2-222-2-2-22-200000000000000002i2i−2i−2i2i−2i2i−2i22-2-200000000000000000000
χ22222-22-22-2-222-2-2-22-200000000000000002i2i−2i−2i−2i2i−2i2i-2-22200000000000000000000
χ23222-22-22-2-222-2-2-22-20000000000000000−2i−2i2i2i2i−2i2i−2i-2-22200000000000000000000
χ24222-22-22-2-222-2-2-22-20000000000000000−2i−2i2i2i−2i2i−2i2i22-2-200000000000000000000
χ25222-2-222-2-2-2-222-2-222i2i2i2i−2i−2i−2i−2i22-2-2000000002i−2i−2i2i000000000000000000000000
χ26222-2-222-2-2-2-222-2-222i2i2i2i−2i−2i−2i−2i-2-22200000000−2i2i2i−2i000000000000000000000000
χ27222-2-222-2-2-2-222-2-22−2i−2i−2i−2i2i2i2i2i22-2-200000000−2i2i2i−2i000000000000000000000000
χ28222-2-222-2-2-2-222-2-22−2i−2i−2i−2i2i2i2i2i-2-222000000002i−2i−2i2i000000000000000000000000
χ2922-222-2-22-22-22-2-2-22000000002-22-22i−2i2i−2i000000002i−2i2i−2i00000000000000000000
χ3022-222-2-22-22-22-2-2-22000000002-22-2−2i2i−2i2i00000000−2i2i−2i2i00000000000000000000
χ3122-222-2-22-22-22-2-2-2200000000-22-222i−2i2i−2i00000000−2i2i−2i2i00000000000000000000
χ3222-222-2-22-22-22-2-2-2200000000-22-22−2i2i−2i2i000000002i−2i2i−2i00000000000000000000
χ3322-22-22-22-2-22-22-22-22i2i−2i−2i2i2i−2i−2i00002-2-222i−2i2i−2i0000000000000000000000000000
χ3422-22-22-22-2-22-22-22-22i2i−2i−2i2i2i−2i−2i0000-222-2−2i2i−2i2i0000000000000000000000000000
χ3522-22-22-22-2-22-22-22-2−2i−2i2i2i−2i−2i2i2i00002-2-22−2i2i−2i2i0000000000000000000000000000
χ3622-22-22-22-2-22-22-22-2−2i−2i2i2i−2i−2i2i2i0000-222-22i−2i2i−2i0000000000000000000000000000
χ3722-2-222-2-222-2-222-2-222-2-2-2-22200000000000000002i−2i−2i2i2i−2i2i−2i0000000000000000
χ3822-2-222-2-222-2-222-2-222-2-2-2-2220000000000000000−2i2i2i−2i−2i2i−2i2i0000000000000000
χ3922-2-222-2-222-2-222-2-2-2-22222-2-200000000000000002i−2i−2i2i−2i2i−2i2i0000000000000000
χ4022-2-222-2-222-2-222-2-2-2-22222-2-20000000000000000−2i2i2i−2i2i−2i2i−2i0000000000000000
χ4122-2-2-2-2-2-22-222-2222000000002-2-2200002-2-22000000002-2-220000000000000000
χ4222-2-2-2-2-2-22-222-2222000000002-2-220000-222-200000000-222-20000000000000000
χ4322-2-2-2-2-2-22-222-222200000000-222-200002-2-2200000000-222-20000000000000000
χ4422-2-2-2-2-2-22-222-222200000000-222-20000-222-2000000002-2-220000000000000000
χ452-222-22-2-2-2222-22-2-22-22-22-22-200000000000000000000000000000000002i−2i002i−2i
χ462-222-22-2-2-2222-22-2-22-22-22-22-20000000000000000000000000000000000−2i2i00−2i2i
χ472-222-22-2-2-2222-22-2-2-22-22-22-2200000000000000000000000000000000002i−2i00−2i2i
χ482-222-22-2-2-2222-22-2-2-22-22-22-220000000000000000000000000000000000−2i2i002i−2i
χ492-22-222-222-2-22-2-22-22i−2i2i−2i−2i2i−2i2i0000000000000000000000000000002i−2i2-2000000
χ502-22-222-222-2-22-2-22-22i−2i2i−2i−2i2i−2i2i000000000000000000000000000000−2i2i-22000000
χ512-22-222-222-2-22-2-22-2−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000002i−2i-22000000
χ522-22-222-222-2-22-2-22-2−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000−2i2i2-2000000
χ532-2-22222-22-22-2-2-2-222i−2i−2i2i2i−2i−2i2i00000000000000000000000000002i−2i0000002-200
χ542-2-22222-22-22-2-2-2-222i−2i−2i2i2i−2i−2i2i0000000000000000000000000000−2i2i000000-2200
χ552-2-22222-22-22-2-2-2-22−2i2i2i−2i−2i2i2i−2i00000000000000000000000000002i−2i000000-2200
χ562-2-22222-22-22-2-2-2-22−2i2i2i−2i−2i2i2i−2i0000000000000000000000000000−2i2i0000002-200
χ572-2-2-2-2222-22-2-2-22222-2-22-222-20000000000000000000000002-22-2000000000000
χ582-2-2-2-2222-22-2-2-22222-2-22-222-2000000000000000000000000-22-22000000000000
χ592-2-2-2-2222-22-2-2-2222-222-22-2-220000000000000000000000002-2-22000000000000
χ602-2-2-2-2222-22-2-2-2222-222-22-2-22000000000000000000000000-222-2000000000000
χ614-4444-4-4-4-4-4-4-44444000000000000000000000000000000000000000000000000
χ624-44-4-4-4-44444-44-4-44000000000000000000000000000000000000000000000000
χ634-4-44-4-44-444-444-44-4000000000000000000000000000000000000000000000000
χ644-4-4-44-444-4-44444-4-4000000000000000000000000000000000000000000000000

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