Finite Group Databasebeta

← Group #11372

Character table — Group #11372

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
χ9111-1-1-1-1-1-111111-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1ii−i−iii−i−i
χ10111-1-1-1-1-1-111111-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-111−i−iii−i−iii
χ11111-1-1-1-1-1-111111-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1−i−iii−i−iii
χ12111-1-1-1-1-1-111111-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111ii−i−iii−i−i
χ13111-1-1-1-1-1-111111-1-11111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111ii−i−i−i−iii
χ14111-1-1-1-1-1-111111-1-11111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1−i−iiiii−i−i
χ15111-1-1-1-1-1-111111-1-11111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111−i−iiiii−i−i
χ16111-1-1-1-1-1-111111-1-11111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1ii−i−i−i−iii
χ172222222222222222-2-2-2-2-2-2-2-222-2-222-2-200000000000000000000000000000000
χ182222222222222222-2-2-2-2-2-2-2-2-2-222-2-22200000000000000000000000000000000
χ19222222-2-2-22-2-2-2-22-222-2-222-2-20000000000000000000000000000000000002-22-2
χ20222222-2-2-22-2-2-2-22-222-2-222-2-2000000000000000000000000000000000000-22-22
χ21222222-2-2-22-2-2-2-22-2-2-222-2-222000000000000000000000000000000002i−2i2i−2i0000
χ22222222-2-2-22-2-2-2-22-2-2-222-2-22200000000000000000000000000000000−2i2i−2i2i0000
χ23222-2-2-22222-2-2-2-2-2222-2-2-2-2220000000000000000000000000000000000002i−2i−2i2i
χ24222-2-2-22222-2-2-2-2-2222-2-2-2-222000000000000000000000000000000000000−2i2i2i−2i
χ25222-2-2-22222-2-2-2-2-22-2-22222-2-2000000000000000000000000000000002-2-220000
χ26222-2-2-22222-2-2-2-2-22-2-22222-2-200000000000000000000000000000000-222-20000
χ27222-2-2-2-2-2-222222-2-2-2-2-2-2222222-2-2-2-22200000000000000000000000000000000
χ28222-2-2-2-2-2-222222-2-2-2-2-2-22222-2-22222-2-200000000000000000000000000000000
χ2922-222-22-2-2-22-22-2-2200000000002i−2i002i−2ii2i2−i2−i2i2i2−i2−i222−2−222−2−20000000000000000
χ3022-222-22-2-2-22-22-2-2200000000002i−2i002i−2i−i2−i2i2i2−i2−i2i2i2−2−222−2−2220000000000000000
χ3122-222-22-2-2-22-22-2-220000000000−2i2i00−2i2ii2i2−i2−i2i2i2−i2−i2−2−222−2−2220000000000000000
χ3222-222-22-2-2-22-22-2-220000000000−2i2i00−2i2i−i2−i2i2i2−i2−i2i2i222−2−222−2−20000000000000000
χ3322-2-2-22-222-22-22-22-200000000002i−2i00−2i2i22−2−2−2−222−i2−i2i2i2i2i2−i2−i20000000000000000
χ3422-2-2-22-222-22-22-22-200000000002i−2i00−2i2i−2−22222−2−2i2i2−i2−i2−i2−i2i2i20000000000000000
χ3522-2-2-22-222-22-22-22-20000000000−2i2i002i−2i22−2−2−2−222i2i2−i2−i2−i2−i2i2i20000000000000000
χ3622-2-2-22-222-22-22-22-20000000000−2i2i002i−2i−2−22222−2−2−i2−i2i2i2i2i2−i2−i20000000000000000
χ372-222-22-22-2-2-222-2-22000000002i−2i002i−2i00i2−i2i2−i2i2−i2i2−i22−22−22−22−20000000000000000
χ382-222-22-22-2-2-222-2-22000000002i−2i002i−2i00−i2i2−i2i2−i2i2−i2i2−22−22−22−220000000000000000
χ392-222-22-22-2-2-222-2-2200000000−2i2i00−2i2i00i2−i2i2−i2i2−i2i2−i2−22−22−22−220000000000000000
χ402-222-22-22-2-2-222-2-2200000000−2i2i00−2i2i00−i2i2−i2i2−i2i2−i2i22−22−22−22−20000000000000000
χ412-22-22-22-22-2-222-22-2000000002i−2i00−2i2i002−22−2−22−22−i2i2−i2i2i2−i2i2−i20000000000000000
χ422-22-22-22-22-2-222-22-2000000002i−2i00−2i2i00−22−222−22−2i2−i2i2−i2−i2i2−i2i20000000000000000
χ432-22-22-22-22-2-222-22-200000000−2i2i002i−2i002−22−2−22−22i2−i2i2−i2−i2i2−i2i20000000000000000
χ442-22-22-22-22-2-222-22-200000000−2i2i002i−2i00−22−222−22−2−i2i2−i2i2i2−i2i2−i20000000000000000
χ452-2-22-2-222-2222-2-22-22-22-22-22-20000000000000000000000002i−2i2i−2i000000000000
χ462-2-22-2-222-2222-2-22-22-22-22-22-2000000000000000000000000−2i2i−2i2i000000000000
χ472-2-22-2-222-2222-2-22-2-22-22-22-2200000000000000000000000000002i−2i2i−2i00000000
χ482-2-22-2-222-2222-2-22-2-22-22-22-220000000000000000000000000000−2i2i−2i2i00000000
χ492-2-22-2-2-2-222-2-222222-2-222-2-2200000000000000002-2-222-2-220000000000000000
χ502-2-22-2-2-2-222-2-222222-2-222-2-220000000000000000-222-2-222-20000000000000000
χ512-2-22-2-2-2-222-2-22222-222-2-222-2000000002-2-222-2-22000000000000000000000000
χ522-2-22-2-2-2-222-2-22222-222-2-222-200000000-222-2-222-2000000000000000000000000
χ532-2-2-22222-22-2-222-2-22-2-22-222-200000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000
χ542-2-2-22222-22-2-222-2-22-2-22-222-20000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000
χ552-2-2-22222-22-2-222-2-2-222-22-2-22000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000
χ562-2-2-22222-22-2-222-2-2-222-22-2-2200000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000
χ572-2-2-222-2-22222-2-2-222-22-2-22-220000000000000000000000002i−2i−2i2i000000000000
χ582-2-2-222-2-22222-2-2-222-22-2-22-22000000000000000000000000−2i2i2i−2i000000000000
χ592-2-2-222-2-22222-2-2-22-22-222-22-200000000000000000000000000002i−2i−2i2i00000000
χ602-2-2-222-2-22222-2-2-22-22-222-22-20000000000000000000000000000−2i2i2i−2i00000000
χ6144-444-4-444-4-44-44-4-4000000000000000000000000000000000000000000000000
χ6244-4-4-444-4-4-4-44-4444000000000000000000000000000000000000000000000000
χ634-444-444-44-44-4-44-4-4000000000000000000000000000000000000000000000000
χ644-44-44-4-44-4-44-4-4444000000000000000000000000000000000000000000000000

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