Finite Group Databasebeta

← Group #15052

Character table — Group #15052

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
χ5111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ91111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ101111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-111
χ121111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-111-1-1
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
χ1722222222-2-2-2-2-2-2-2-22222-2-2-2-222-2-222-2-200000000000000000000000000000000
χ1822222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-222-2-22200000000000000000000000000000000
χ1922222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-22200000000000000000000000000000000
χ2022222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-22222-2-200000000000000000000000000000000
χ21222-2-22-2-222-2-222-2-20000000000002i−2i2i−2i000022-2-22i2i−2i−2i00000000000000000000
χ22222-2-22-2-222-2-222-2-20000000000002i−2i2i−2i0000-2-222−2i−2i2i2i00000000000000000000
χ23222-2-22-2-222-2-222-2-2000000000000−2i2i−2i2i000022-2-2−2i−2i2i2i00000000000000000000
χ24222-2-22-2-222-2-222-2-2000000000000−2i2i−2i2i0000-2-2222i2i−2i−2i00000000000000000000
χ25222-2-22-2-2-2-222-2-2220000000000002i−2i−2i2i22-2-2000000002i2i−2i−2i0000000000000000
χ26222-2-22-2-2-2-222-2-2220000000000002i−2i−2i2i-2-22200000000−2i−2i2i2i0000000000000000
χ27222-2-22-2-2-2-222-2-222000000000000−2i2i2i−2i22-2-200000000−2i−2i2i2i0000000000000000
χ28222-2-22-2-2-2-222-2-222000000000000−2i2i2i−2i-2-222000000002i2i−2i−2i0000000000000000
χ2922-22-2-22-222-2-2-2-2222i2i−2i−2i2i2i−2i−2i000000000000000000000000000000002i−2i2-20000
χ3022-22-2-22-222-2-2-2-2222i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000−2i2i-220000
χ3122-22-2-22-222-2-2-2-222−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000002i−2i-220000
χ3222-22-2-22-222-2-2-2-222−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000−2i2i2-20000
χ3322-22-2-22-2-2-22222-2-22i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000002-22i−2i
χ3422-22-2-22-2-2-22222-2-22i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000-22−2i2i
χ3522-22-2-22-2-2-22222-2-2−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000002-2−2i2i
χ3622-22-2-22-2-2-22222-2-2−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000-222i−2i
χ372-222-2-2-222-22-22-22-22i−2i2i−2i2i−2i2i−2i0000000000002i−2i2i−2i00002-22-20000000000000000
χ382-222-2-2-222-22-22-22-22i−2i2i−2i2i−2i2i−2i000000000000−2i2i−2i2i0000-22-220000000000000000
χ392-222-2-2-222-22-22-22-2−2i2i−2i2i−2i2i−2i2i0000000000002i−2i2i−2i0000-22-220000000000000000
χ402-222-2-2-222-22-22-22-2−2i2i−2i2i−2i2i−2i2i000000000000−2i2i−2i2i00002-22-20000000000000000
χ412-222-2-2-22-22-22-22-222i−2i2i−2i−2i2i−2i2i000000002i−2i2i−2i00002-22-200000000000000000000
χ422-222-2-2-22-22-22-22-222i−2i2i−2i−2i2i−2i2i00000000−2i2i−2i2i0000-22-2200000000000000000000
χ432-222-2-2-22-22-22-22-22−2i2i−2i2i2i−2i2i−2i000000002i−2i2i−2i0000-22-2200000000000000000000
χ442-222-2-2-22-22-22-22-22−2i2i−2i2i2i−2i2i−2i00000000−2i2i−2i2i00002-22-200000000000000000000
χ452-22-22-22-22-2-222-2-22000000002-22-200002i−2i−2i2i2i−2i−2i2i000000000000000000000000
χ462-22-22-22-22-2-222-2-22000000002-22-20000−2i2i2i−2i−2i2i2i−2i000000000000000000000000
χ472-22-22-22-22-2-222-2-2200000000-22-2200002i−2i−2i2i−2i2i2i−2i000000000000000000000000
χ482-22-22-22-22-2-222-2-2200000000-22-220000−2i2i2i−2i2i−2i−2i2i000000000000000000000000
χ492-22-22-22-2-222-2-222-2000000002-2-220000000000002i−2i−2i2i−2i2i2i−2i0000000000000000
χ502-22-22-22-2-222-2-222-2000000002-2-22000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000
χ512-22-22-22-2-222-2-222-200000000-222-20000000000002i−2i−2i2i2i−2i−2i2i0000000000000000
χ522-22-22-22-2-222-2-222-200000000-222-2000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000
χ532-2-2222-2-22-2-22-222-22-2-222-2-2200000000000000000000000000002i−2i2i−2i00000000
χ542-2-2222-2-22-2-22-222-22-2-222-2-220000000000000000000000000000−2i2i−2i2i00000000
χ552-2-2222-2-22-2-22-222-2-222-2-222-200000000000000000000000000002i−2i−2i2i00000000
χ562-2-2222-2-22-2-22-222-2-222-2-222-20000000000000000000000000000−2i2i2i−2i00000000
χ572-2-2222-2-2-222-22-2-222-2-22-222-20000000000000000000000002i−2i2i−2i000000000000
χ582-2-2222-2-2-222-22-2-222-2-22-222-2000000000000000000000000−2i2i−2i2i000000000000
χ592-2-2222-2-2-222-22-2-22-222-22-2-220000000000000000000000002i−2i−2i2i000000000000
χ602-2-2222-2-2-222-22-2-22-222-22-2-22000000000000000000000000−2i2i2i−2i000000000000
χ6144-4-44-4-444444-4-4-4-4000000000000000000000000000000000000000000000000
χ6244-4-44-4-44-4-4-4-44444000000000000000000000000000000000000000000000000
χ634-4-4-4-44444-44-4-44-44000000000000000000000000000000000000000000000000
χ644-4-4-4-4444-44-444-44-4000000000000000000000000000000000000000000000000

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