Finite Group Databasebeta

← Group #11789830

Character table — Group #11789830

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size1111228888999916161818181818181818181818181818181818181818181818181818242424244848484872727272
order1222443666222212124444444444888888888888888822446612124444
χ1111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111-1-111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1
χ61111-1-111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111
χ71111-1-111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111
χ81111-1-111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1
χ911-1-1i−i11-1-1-111-1i−ii−i1-1ii−i−i1-11111-1-1-1-1iiii−i−i−i−i1-1i−i1-1i−i1-1i−i
χ1011-1-1i−i11-1-1-111-1i−ii−i1-1ii−i−i1-11111-1-1-1-1iiii−i−i−i−i-11−ii-11−ii-11−ii
χ1111-1-1i−i11-1-1-111-1i−ii−i1-1ii−i−i1-1-1-1-1-11111−i−i−i−iiiii1-1i−i1-1i−i-11−ii
χ1211-1-1i−i11-1-1-111-1i−ii−i1-1ii−i−i1-1-1-1-1-11111−i−i−i−iiiii-11−ii-11−ii1-1i−i
χ1311-1-1−ii11-1-1-111-1−ii−ii1-1−i−iii1-11111-1-1-1-1−i−i−i−iiiii1-1−ii1-1−ii1-1−ii
χ1411-1-1−ii11-1-1-111-1−ii−ii1-1−i−iii1-11111-1-1-1-1−i−i−i−iiiii-11i−i-11i−i-11i−i
χ1511-1-1−ii11-1-1-111-1−ii−ii1-1−i−iii1-1-1-1-1-11111iiii−i−i−i−i1-1−ii1-1−ii-11i−i
χ1611-1-1−ii11-1-1-111-1−ii−ii1-1−i−iii1-1-1-1-1-11111iiii−i−i−i−i-11i−i-11i−i1-1−ii
χ17222222222222222222-2-2-2-2-2-2-2-20000000000000000000000000000
χ182222222222-2-2-2-222-2-200000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2000000000000
χ192222222222-2-2-2-222-2-200000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2000000000000
χ202222-2-222222222-2-2-2-2-2-22222-2-20000000000000000000000000000
χ212222-2-22222-2-2-2-2-2-22200000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2000000000000
χ222222-2-22222-2-2-2-2-2-22200000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2000000000000
χ2322-2-22i−2i22-2-22-2-222i−2i−2i2i00000000i2i2−i2−i2−i2−i2i2i2−2−22222−2−2000000000000
χ2422-2-22i−2i22-2-22-2-222i−2i−2i2i00000000−i2−i2i2i2i2i2−i2−i222−2−2−2−222000000000000
χ2522-2-22i−2i22-2-2-222-22i−2i2i−2i-22−2i−2i2i2i-220000000000000000000000000000
χ2622-2-2−2i2i22-2-22-2-22−2i2i2i−2i00000000i2i2−i2−i2−i2−i2i2i222−2−2−2−222000000000000
χ2722-2-2−2i2i22-2-22-2-22−2i2i2i−2i00000000−i2−i2i2i2i2i2−i2−i2−2−22222−2−2000000000000
χ2822-2-2−2i2i22-2-2-222-2−2i2i−2i2i-222i2i−2i−2i-220000000000000000000000000000
χ292-22-2002-22-22-22-20000002i−2i2i−2i002−22−22−22−2i2−i2i2−i2i2−i2i2−i2000000000000
χ302-22-2002-22-22-22-20000002i−2i2i−2i00−22−22−22−22−i2i2−i2i2−i2i2−i2i2000000000000
χ312-22-2002-22-22-22-2000000−2i2i−2i2i002−22−22−22−2−i2i2−i2i2−i2i2−i2i2000000000000
χ322-22-2002-22-22-22-2000000−2i2i−2i2i00−22−22−22−22i2−i2i2−i2i2−i2i2−i2000000000000
χ332-22-2002-22-2-22-220000220000-2-22i−2i−2i2i2i−2i−2i2i00000000000000000000
χ342-22-2002-22-2-22-220000220000-2-2−2i2i2i−2i−2i2i2i−2i00000000000000000000
χ352-22-2002-22-2-22-220000-2-2000022000000002-2-222-2-22000000000000
χ362-22-2002-22-2-22-220000-2-200002200000000-222-2-222-2000000000000
χ372-2-22002-2-2222-2-200002-20000-222i−2i−2i2i−2i2i2i−2i00000000000000000000
χ382-2-22002-2-2222-2-200002-20000-22−2i2i2i−2i2i−2i−2i2i00000000000000000000
χ392-2-22002-2-2222-2-20000-2200002-2000000002i−2i−2i2i−2i2i2i−2i000000000000
χ402-2-22002-2-2222-2-20000-2200002-200000000−2i2i2i−2i2i−2i−2i2i000000000000
χ412-2-22002-2-22-2-2220000002-2-22002−22−2−22−222−22−2−22−22000000000000
χ422-2-22002-2-22-2-2220000002-2-2200−22−222−22−2−22−222−22−2000000000000
χ432-2-22002-2-22-2-222000000-222-2002−22−2−22−22−22−222−22−2000000000000
χ442-2-22002-2-22-2-222000000-222-200−22−222−22−22−22−2−22−22000000000000
χ45888888-1-1-1-10000-1-1000000000000000000000000002222-1-1-1-10000
χ46888888-1-1-1-10000-1-100000000000000000000000000-2-2-2-211110000
χ478888-8-8-1-1-1-10000110000000000000000000000000022-2-2-1-1110000
χ488888-8-8-1-1-1-100001100000000000000000000000000-2-22211-1-10000
χ4988-8-88i−8i-1-1110000−ii000000000000000000000000002-22i−2i-11−ii0000
χ5088-8-88i−8i-1-1110000−ii00000000000000000000000000-22−2i2i1-1i−i0000
χ5188-8-8−8i8i-1-1110000i−i000000000000000000000000002-2−2i2i-11i−i0000
χ5288-8-8−8i8i-1-1110000i−i00000000000000000000000000-222i−2i1-1−ii0000
χ5316-1616-1600-22-2200000000000000000000000000000000000000000000
χ5416-16-161600-222-200000000000000000000000000000000000000000000

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