Finite Group Databasebeta

← Group #21029

Character table — Group #21029

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76
size1111111122222222444444444444444444888811111111222222224444444444444444448888
order1222222244444444444444444488888888444422222222444444444444444444888888884444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ41111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ51111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-11111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-1
χ61111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-111
χ81111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-11111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-1
χ91-11-111-1-11-1ii−i−i1-111-1-1ii−i−ii−i11-1-1ii−i−i1-1i−i1-11-111-1-11-1ii−i−i1-111-1-1ii−i−ii−i11-1-1ii−i−i1-1i−i
χ101-11-111-1-11-1ii−i−i1-111-1-1ii−i−ii−i-1-111−i−iii-11−ii1-11-111-1-11-1ii−i−i1-111-1-1ii−i−ii−i-1-111−i−iii-11−ii
χ111-11-111-1-11-1ii−i−i1-1-1-111−i−iiii−i11-1-1ii−i−i-11−ii1-11-111-1-11-1ii−i−i1-1-1-111−i−iiii−i11-1-1ii−i−i-11−ii
χ121-11-111-1-11-1ii−i−i1-1-1-111−i−iiii−i-1-111−i−iii1-1i−i1-11-111-1-11-1ii−i−i1-1-1-111−i−iiii−i-1-111−i−iii1-1i−i
χ131-11-111-1-11-1−i−iii1-111-1-1−i−iii−ii11-1-1−i−iii1-1−ii1-11-111-1-11-1−i−iii1-111-1-1−i−iii−ii11-1-1−i−iii1-1−ii
χ141-11-111-1-11-1−i−iii1-111-1-1−i−iii−ii-1-111ii−i−i-11i−i1-11-111-1-11-1−i−iii1-111-1-1−i−iii−ii-1-111ii−i−i-11i−i
χ151-11-111-1-11-1−i−iii1-1-1-111ii−i−i−ii11-1-1−i−iii-11i−i1-11-111-1-11-1−i−iii1-1-1-111ii−i−i−ii11-1-1−i−iii-11i−i
χ161-11-111-1-11-1−i−iii1-1-1-111ii−i−i−ii-1-111ii−i−i1-1−ii1-11-111-1-11-1−i−iii1-1-1-111ii−i−i−ii-1-111ii−i−i1-1−ii
χ1722222222-2-22222-2-200000000-2-200000000000022222222-2-22222-2-200000000-2-2000000000000
χ1822222222-2-2-2-2-2-2-2-2000000002200000000000022222222-2-2-2-2-2-2-2-20000000022000000000000
χ19222-2-2-22-2220000-2-200002-22-200000000000000222-2-2-22-2220000-2-200002-22-200000000000000
χ20222-2-2-22-2220000-2-20000-22-2200000000000000222-2-2-22-2220000-2-20000-22-2200000000000000
χ21222-2-2-22-2-2-20000222i−2i2i−2i000000000000000000222-2-2-22-2-2-20000222i−2i2i−2i000000000000000000
χ22222-2-2-22-2-2-2000022−2i2i−2i2i000000000000000000222-2-2-22-2-2-2000022−2i2i−2i2i000000000000000000
χ2322-2-22-2-22002i−2i2i−2i000000000000i2−i2i2−i22−22−2000022-2-22-2-22002i−2i2i−2i000000000000i2−i2i2−i22−22−20000
χ2422-2-22-2-22002i−2i2i−2i000000000000−i2i2−i2i2−22−22000022-2-22-2-22002i−2i2i−2i000000000000−i2i2−i2i2−22−220000
χ2522-2-22-2-2200−2i2i−2i2i000000000000i2−i2i2−i2−22−22000022-2-22-2-2200−2i2i−2i2i000000000000i2−i2i2−i2−22−220000
χ2622-2-22-2-2200−2i2i−2i2i000000000000−i2i2−i2i22−22−2000022-2-22-2-2200−2i2i−2i2i000000000000−i2i2−i2i22−22−20000
χ272-222-2-2-222-20000-2200002i−2i−2i2i000000000000002-222-2-2-222-20000-2200002i−2i−2i2i00000000000000
χ282-222-2-2-222-20000-220000−2i2i2i−2i000000000000002-222-2-2-222-20000-220000−2i2i2i−2i00000000000000
χ292-222-2-2-22-2200002-22i−2i−2i2i0000000000000000002-222-2-2-22-2200002-22i−2i−2i2i000000000000000000
χ302-222-2-2-22-2200002-2−2i2i2i−2i0000000000000000002-222-2-2-22-2200002-2−2i2i2i−2i000000000000000000
χ312-22-222-2-2-222i2i−2i−2i-2200000000−2i2i0000000000002-22-222-2-2-222i2i−2i−2i-2200000000−2i2i000000000000
χ322-22-222-2-2-22−2i−2i2i2i-22000000002i−2i0000000000002-22-222-2-2-22−2i−2i2i2i-22000000002i−2i000000000000
χ332-2-222-22-2002-2-22000000000000i2−i2−i2i2−i2i2i2−i200002-2-222-22-2002-2-22000000000000i2−i2−i2i2−i2i2i2−i20000
χ342-2-222-22-2002-2-22000000000000−i2i2i2−i2i2−i2−i2i200002-2-222-22-2002-2-22000000000000−i2i2i2−i2i2−i2−i2i20000
χ352-2-222-22-200-222-2000000000000i2−i2−i2i2i2−i2−i2i200002-2-222-22-200-222-2000000000000i2−i2−i2i2i2−i2−i2i20000
χ362-2-222-22-200-222-2000000000000−i2i2i2−i2−i2i2i2−i200002-2-222-22-200-222-2000000000000−i2i2i2−i2−i2i2i2−i20000
χ3744-44-44-4-400000000000000000000000000000044-44-44-4-4000000000000000000000000000000
χ384-4-4-4-44440000000000000000000000000000004-4-4-4-4444000000000000000000000000000000
χ3911111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4011111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ411111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111
χ421111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1
χ431111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-111
χ441111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-111-1-1
χ451111111111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1111111-1-1
χ461111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-1-1-111
χ471-11-111-1-11-1ii−i−i1-111-1-1ii−i−ii−i11-1-1ii−i−i1-1i−i-11-11-1-111-11−i−iii-11-1-111−i−iii−ii-1-111−i−iii-11−ii
χ481-11-111-1-11-1ii−i−i1-111-1-1ii−i−ii−i-1-111−i−iii-11−ii-11-11-1-111-11−i−iii-11-1-111−i−iii−ii11-1-1ii−i−i1-1i−i
χ491-11-111-1-11-1ii−i−i1-1-1-111−i−iiii−i11-1-1ii−i−i-11−ii-11-11-1-111-11−i−iii-1111-1-1ii−i−i−ii-1-111−i−iii1-1i−i
χ501-11-111-1-11-1ii−i−i1-1-1-111−i−iiii−i-1-111−i−iii1-1i−i-11-11-1-111-11−i−iii-1111-1-1ii−i−i−ii11-1-1ii−i−i-11−ii
χ511-11-111-1-11-1−i−iii1-111-1-1−i−iii−ii11-1-1−i−iii1-1−ii-11-11-1-111-11ii−i−i-11-1-111ii−i−ii−i-1-111ii−i−i-11i−i
χ521-11-111-1-11-1−i−iii1-111-1-1−i−iii−ii-1-111ii−i−i-11i−i-11-11-1-111-11ii−i−i-11-1-111ii−i−ii−i11-1-1−i−iii1-1−ii
χ531-11-111-1-11-1−i−iii1-1-1-111ii−i−i−ii11-1-1−i−iii-11i−i-11-11-1-111-11ii−i−i-1111-1-1−i−iiii−i-1-111ii−i−i1-1−ii
χ541-11-111-1-11-1−i−iii1-1-1-111ii−i−i−ii-1-111ii−i−i1-1−ii-11-11-1-111-11ii−i−i-1111-1-1−i−iiii−i11-1-1−i−iii-11i−i
χ5522222222-2-22222-2-200000000-2-2000000000000-2-2-2-2-2-2-2-222-2-2-2-2220000000022000000000000
χ5622222222-2-2-2-2-2-2-2-20000000022000000000000-2-2-2-2-2-2-2-22222222200000000-2-2000000000000
χ57222-2-2-22-2220000-2-200002-22-200000000000000-2-2-2222-22-2-20000220000-22-2200000000000000
χ58222-2-2-22-2220000-2-20000-22-2200000000000000-2-2-2222-22-2-200002200002-22-200000000000000
χ59222-2-2-22-2-2-20000222i−2i2i−2i000000000000000000-2-2-2222-22220000-2-2−2i2i−2i2i000000000000000000
χ60222-2-2-22-2-2-2000022−2i2i−2i2i000000000000000000-2-2-2222-22220000-2-22i−2i2i−2i000000000000000000
χ6122-2-22-2-22002i−2i2i−2i000000000000i2−i2i2−i22−22−20000-2-222-222-200−2i2i−2i2i000000000000−i2i2−i2i2−22−220000
χ6222-2-22-2-22002i−2i2i−2i000000000000−i2i2−i2i2−22−220000-2-222-222-200−2i2i−2i2i000000000000i2−i2i2−i22−22−20000
χ6322-2-22-2-2200−2i2i−2i2i000000000000i2−i2i2−i2−22−220000-2-222-222-2002i−2i2i−2i000000000000−i2i2−i2i22−22−20000
χ6422-2-22-2-2200−2i2i−2i2i000000000000−i2i2−i2i22−22−20000-2-222-222-2002i−2i2i−2i000000000000i2−i2i2−i2−22−220000
χ652-222-2-2-222-20000-2200002i−2i−2i2i00000000000000-22-2-2222-2-2200002-20000−2i2i2i−2i00000000000000
χ662-222-2-2-222-20000-220000−2i2i2i−2i00000000000000-22-2-2222-2-2200002-200002i−2i−2i2i00000000000000
χ672-222-2-2-22-2200002-22i−2i−2i2i000000000000000000-22-2-2222-22-20000-22−2i2i2i−2i000000000000000000
χ682-222-2-2-22-2200002-2−2i2i2i−2i000000000000000000-22-2-2222-22-20000-222i−2i−2i2i000000000000000000
χ692-22-222-2-2-222i2i−2i−2i-2200000000−2i2i000000000000-22-22-2-2222-2−2i−2i2i2i2-2000000002i−2i000000000000
χ702-22-222-2-2-22−2i−2i2i2i-22000000002i−2i000000000000-22-22-2-2222-22i2i−2i−2i2-200000000−2i2i000000000000
χ712-2-222-22-2002-2-22000000000000i2−i2−i2i2−i2i2i2−i20000-222-2-22-2200-222-2000000000000−i2i2i2−i2i2−i2−i2i20000
χ722-2-222-22-2002-2-22000000000000−i2i2i2−i2i2−i2−i2i20000-222-2-22-2200-222-2000000000000i2−i2−i2i2−i2i2i2−i20000
χ732-2-222-22-200-222-2000000000000i2−i2−i2i2i2−i2−i2i20000-222-2-22-22002-2-22000000000000−i2i2i2−i2−i2i2i2−i20000
χ742-2-222-22-200-222-2000000000000−i2i2i2−i2−i2i2i2−i20000-222-2-22-22002-2-22000000000000i2−i2−i2i2i2−i2−i2i20000
χ7544-44-44-4-4000000000000000000000000000000-4-44-44-444000000000000000000000000000000
χ764-4-4-4-4444000000000000000000000000000000-44444-4-4-4000000000000000000000000000000

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