Finite Group Databasebeta

← Group #11776934

Character table — Group #11776934

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size111122222288888888888888889999181818181818181818181818181818181818181818187272727272727272
order12222244443666666612121212121212124444444444888888888888888888888888
χ1111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1ii−i−iii−i−i
χ6111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1−i−iii−i−iii
χ7111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111ii−i−i−i−iii
χ8111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111−i−iiiii−i−i
χ91111-1-111-1-1111-1-1-1-111111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-11-11-11-11-1
χ101111-1-111-1-1111-1-1-1-111111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-11-11-11-11
χ111111-1-111-1-1111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111111-11-1-11-11
χ121111-1-111-1-1111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111-11-111-11-1
χ131111-1-1-1-111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111i−i−iii−i−ii
χ141111-1-1-1-111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111−iii−i−iii−i
χ151111-1-1-1-111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1i−i−ii−iii−i
χ161111-1-1-1-111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1−iii−ii−i−ii
χ1722222222222222222222222222-2-2-2-2-2-2-2-2-2-2000000000000000000000000
χ18222222-2-2-2-222222222-2-2-2-2-2-2-2-22222-2-222-2-2000000000000000000000000
χ192222-2-222-2-2222-2-2-2-222222-2-2-2-2-2-2-2-22222-2-2000000000000000000000000
χ202222-2-2-2-222222-2-2-2-22-2-2-2-22222222222-2-2-2-2000000000000000000000000
χ2122-2-22-200002-2-222-2-22000000002i2i−2i−2i002i−2i00i2i2−i2−i2i2i2−i2−i222−2−222−2−200000000
χ2222-2-22-200002-2-222-2-22000000002i2i−2i−2i002i−2i00−i2−i2i2i2−i2−i2i2i2−2−222−2−22200000000
χ2322-2-22-200002-2-222-2-2200000000−2i−2i2i2i00−2i2i00i2i2−i2−i2i2i2−i2−i2−2−222−2−22200000000
χ2422-2-22-200002-2-222-2-2200000000−2i−2i2i2i00−2i2i00−i2−i2i2i2−i2−i2i2i222−2−222−2−200000000
χ2522-2-2-2200002-2-2-2-2222000000002i2i−2i−2i00−2i2i00i2i2−i2−i2−i2−i2i2i222−2−2−2−22200000000
χ2622-2-2-2200002-2-2-2-2222000000002i2i−2i−2i00−2i2i00−i2−i2i2i2i2i2−i2−i2−2−22222−2−200000000
χ2722-2-2-2200002-2-2-2-222200000000−2i−2i2i2i002i−2i00i2i2−i2−i2−i2−i2i2i2−2−22222−2−200000000
χ2822-2-2-2200002-2-2-2-222200000000−2i−2i2i2i002i−2i00−i2−i2i2i2i2i2−i2−i222−2−2−2−22200000000
χ292-22-200002i−2i22-20000-200002i2i−2i−2i2-22-22i−2i0000i2−i2i2−i22−22−2i2−i2i2−i22−22−200000000
χ302-22-200002i−2i22-20000-200002i2i−2i−2i2-22-22i−2i0000−i2i2−i2i2−22−22−i2i2−i2i2−22−2200000000
χ312-22-200002i−2i22-20000-200002i2i−2i−2i-22-22−2i2i0000i2−i2i2−i2−22−22−i2i2−i2i22−22−200000000
χ322-22-200002i−2i22-20000-200002i2i−2i−2i-22-22−2i2i0000−i2i2−i2i22−22−2i2−i2i2−i2−22−2200000000
χ332-22-20000−2i2i22-20000-20000−2i−2i2i2i2-22-2−2i2i0000i2−i2i2−i2−22−22i2−i2i2−i2−22−2200000000
χ342-22-20000−2i2i22-20000-20000−2i−2i2i2i2-22-2−2i2i0000−i2i2−i2i22−22−2−i2i2−i2i22−22−200000000
χ352-22-20000−2i2i22-20000-20000−2i−2i2i2i-22-222i−2i0000i2−i2i2−i22−22−2−i2i2−i2i2−22−2200000000
χ362-22-20000−2i2i22-20000-20000−2i−2i2i2i-22-222i−2i0000−i2i2−i2i2−22−22i2−i2i2−i22−22−200000000
χ372-2-22002i−2i002-220000-22i2i−2i−2i00002i−2i−2i2i00002-200002i−2i−2i2i00002-2-2200000000
χ382-2-22002i−2i002-220000-22i2i−2i−2i00002i−2i−2i2i00002-20000−2i2i2i−2i0000-222-200000000
χ392-2-22002i−2i002-220000-22i2i−2i−2i0000−2i2i2i−2i0000-222-2-2200002i−2i−2i2i000000000000
χ402-2-22002i−2i002-220000-22i2i−2i−2i0000−2i2i2i−2i0000-22-222-20000−2i2i2i−2i000000000000
χ412-2-2200−2i2i002-220000-2−2i−2i2i2i00002i−2i−2i2i0000-222-2-220000−2i2i2i−2i000000000000
χ422-2-2200−2i2i002-220000-2−2i−2i2i2i00002i−2i−2i2i0000-22-222-200002i−2i−2i2i000000000000
χ432-2-2200−2i2i002-220000-2−2i−2i2i2i0000−2i2i2i−2i00002-200002i−2i−2i2i0000-222-200000000
χ442-2-2200−2i2i002-220000-2−2i−2i2i2i0000−2i2i2i−2i00002-20000−2i2i2i−2i00002-2-2200000000
χ458888888888-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ46888888-8-8-8-8-1-1-1-1-1-1-1-1111111110000000000000000000000000000000000
χ478888-8-888-8-8-1-1-11111-1-1-1-1-111110000000000000000000000000000000000
χ488888-8-8-8-888-1-1-11111-11111-1-1-1-10000000000000000000000000000000000
χ4988-8-88-80000-111-1-111-13-33-33-33-30000000000000000000000000000000000
χ5088-8-88-80000-111-1-111-1-33-33-33-330000000000000000000000000000000000
χ5188-8-8-880000-11111-1-1-13-33-3-33-330000000000000000000000000000000000
χ5288-8-8-880000-11111-1-1-1-33-333-33-30000000000000000000000000000000000
χ538-88-800008i−8i-1-113-33-313i−3i−3i3i−i−iii0000000000000000000000000000000000
χ548-88-800008i−8i-1-11-33-331−3i3i3i−3i−i−iii0000000000000000000000000000000000
χ558-88-80000−8i8i-1-113-33-31−3i3i3i−3iii−i−i0000000000000000000000000000000000
χ568-88-80000−8i8i-1-11-33-3313i−3i−3i3iii−i−i0000000000000000000000000000000000
χ578-8-88008i−8i00-11-13-3-331−i−iii3i−3i−3i3i0000000000000000000000000000000000
χ588-8-88008i−8i00-11-1-333-31−i−iii−3i3i3i−3i0000000000000000000000000000000000
χ598-8-8800−8i8i00-11-13-3-331ii−i−i−3i3i3i−3i0000000000000000000000000000000000
χ608-8-8800−8i8i00-11-1-333-31ii−i−i3i−3i−3i3i0000000000000000000000000000000000

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