Finite Group Databasebeta

← Group #11207

Character table — Group #11207

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64
size1111111111111111222222224444444444444444444444448888888888888888
order1222222222222222444444444444444488888888888888884444444444444444
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
χ5111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ91111-1-1-1-1-1-1-11111-11111-1-1-1-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1ii−i−iii−i−i
χ101111-1-1-1-1-1-1-11111-11111-1-1-1-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-111−i−iii−i−iii
χ111111-1-1-1-1-1-1-11111-11111-1-1-1-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1−i−iii−i−iii
χ121111-1-1-1-1-1-1-11111-11111-1-1-1-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111ii−i−iii−i−i
χ131111-1-1-1-1-1-1-11111-11111-1-1-1-1-1-111-1-111iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111ii−i−i−i−iii
χ141111-1-1-1-1-1-1-11111-11111-1-1-1-1-1-111-1-111iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1−i−iiiii−i−i
χ151111-1-1-1-1-1-1-11111-11111-1-1-1-1-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111−i−iiiii−i−i
χ161111-1-1-1-1-1-1-11111-11111-1-1-1-1-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1ii−i−i−i−iii
χ172222222222222222-2-2-2-2-2-2-2-22222-2-2-2-200000000000000000000000000000000
χ182222222222222222-2-2-2-2-2-2-2-2-2-2-2-2222200000000000000000000000000000000
χ192222-2-2-2-2-2-2-22222-2-2-2-2-2222222-2-2-2-22200000000000000000000000000000000
χ202222-2-2-2-2-2-2-22222-2-2-2-2-22222-2-22222-2-200000000000000000000000000000000
χ21222-22222-2-2-22-2-2-2-2000000002-22-2000022−2−222−2−222−2−222−2−20000000000000000
χ22222-22222-2-2-22-2-2-2-2000000002-22-20000−2−222−2−222−2−222−2−2220000000000000000
χ23222-22222-2-2-22-2-2-2-200000000-22-22000022−2−222−2−2−2−222−2−2220000000000000000
χ24222-22222-2-2-22-2-2-2-200000000-22-220000−2−222−2−22222−2−222−2−20000000000000000
χ25222-2-2-2-2-22222-2-2-22000000002-2-220000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i20000000000000000
χ26222-2-2-2-2-22222-2-2-22000000002-2-220000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i20000000000000000
χ27222-2-2-2-2-22222-2-2-2200000000-222-20000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i20000000000000000
χ28222-2-2-2-2-22222-2-2-2200000000-222-20000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i20000000000000000
χ2922-2222-2-222-2-22-2-2-222-2-22-22-200000000000000002-22-22-22-20000000000000000
χ3022-2222-2-222-2-22-2-2-222-2-22-22-20000000000000000-22-22-22-220000000000000000
χ3122-2222-2-222-2-22-2-2-2-2-222-22-22000000002-22-22-22-2000000000000000000000000
χ3222-2222-2-222-2-22-2-2-2-2-222-22-2200000000-22-22-22-22000000000000000000000000
χ3322-22-2-222-2-22-22-2-2222-2-2-22-2200000000000000002i−2i2i−2i−2i2i−2i2i0000000000000000
χ3422-22-2-222-2-22-22-2-2222-2-2-22-220000000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000
χ3522-22-2-222-2-22-22-2-22-2-2222-22-2000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000
χ3622-22-2-222-2-22-22-2-22-2-2222-22-200000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000
χ3722-2-222-2-2-2-22-2-22220000000000002-22-22−2−222−2−222−2−222−2−220000000000000000
χ3822-2-222-2-2-2-22-2-22220000000000002-22-2−222−2−222−2−222−2−222−20000000000000000
χ3922-2-222-2-2-2-22-2-2222000000000000-22-222−2−222−2−22−222−2−222−20000000000000000
χ4022-2-222-2-2-2-22-2-2222000000000000-22-22−222−2−222−22−2−222−2−220000000000000000
χ4122-2-2-2-22222-2-2-222-20000000000002-2-22i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i20000000000000000
χ4222-2-2-2-22222-2-2-222-20000000000002-2-22−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i20000000000000000
χ4322-2-2-2-22222-2-2-222-2000000000000-222-2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i20000000000000000
χ4422-2-2-2-22222-2-2-222-2000000000000-222-2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i20000000000000000
χ452-22-22-22-22-22-222-2-22-22-222-2-20000000000000000000000002-22-2000000000000
χ462-22-22-22-22-22-222-2-22-22-222-2-2000000000000000000000000-22-22000000000000
χ472-22-22-22-22-22-222-2-2-22-22-2-22200000000000000000000000000002i−2i2i−2i00000000
χ482-22-22-22-22-22-222-2-2-22-22-2-2220000000000000000000000000000−2i2i−2i2i00000000
χ492-22-2-22-22-22-2-222-222-22-2-2-2220000000000000000000000002-2-22000000000000
χ502-22-2-22-22-22-2-222-222-22-2-2-222000000000000000000000000-222-2000000000000
χ512-22-2-22-22-22-2-222-22-22-2222-2-200000000000000000000000000002i−2i−2i2i00000000
χ522-22-2-22-22-22-2-222-22-22-2222-2-20000000000000000000000000000−2i2i2i−2i00000000
χ532-2-2-22-2-222-2-222-2222-2-222-2-220000000000000000000000000000000000002-22-2
χ542-2-2-22-2-222-2-222-2222-2-222-2-22000000000000000000000000000000000000-22-22
χ552-2-2-22-2-222-2-222-222-222-2-222-2000000000000000000000000000000002-22-20000
χ562-2-2-22-2-222-2-222-222-222-2-222-200000000000000000000000000000000-22-220000
χ572-2-2-2-222-2-22222-22-22-2-22-222-20000000000000000000000000000000000002i−2i−2i2i
χ582-2-2-2-222-2-22222-22-22-2-22-222-2000000000000000000000000000000000000−2i2i2i−2i
χ592-2-2-2-222-2-22222-22-2-222-22-2-22000000000000000000000000000000002i−2i−2i2i0000
χ602-2-2-2-222-2-22222-22-2-222-22-2-2200000000000000000000000000000000−2i2i2i−2i0000
χ614-4444-44-4-44-4-4-4-444000000000000000000000000000000000000000000000000
χ624-444-44-444-44-4-4-44-4000000000000000000000000000000000000000000000000
χ634-4-444-4-44-4444-44-4-4000000000000000000000000000000000000000000000000
χ644-4-44-444-44-4-44-44-44000000000000000000000000000000000000000000000000

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