Finite Group Databasebeta

← Group #11776881

Character table — Group #11776881

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
χ2122-2-200002-22-2-200002000022-2-22i2i−2i−2i2i−2i0000i2i2−i2−i222−2−222−2−2i2i2−i2−i200000000
χ2222-2-200002-22-2-200002000022-2-22i2i−2i−2i2i−2i0000−i2−i2i2i2−2−222−2−222−i2−i2i2i200000000
χ2322-2-200002-22-2-200002000022-2-2−2i−2i2i2i−2i2i0000i2i2−i2−i2−2−222−2−222i2i2−i2−i200000000
χ2422-2-200002-22-2-200002000022-2-2−2i−2i2i2i−2i2i0000−i2−i2i2i222−2−222−2−2−i2−i2i2i200000000
χ2522-2-20000-222-2-2000020000-2-2222i2i−2i−2i−2i2i0000i2i2−i2−i2−2−22222−2−2−i2−i2i2i200000000
χ2622-2-20000-222-2-2000020000-2-2222i2i−2i−2i−2i2i0000−i2−i2i2i222−2−2−2−222i2i2−i2−i200000000
χ2722-2-20000-222-2-2000020000-2-222−2i−2i2i2i2i−2i0000i2i2−i2−i222−2−2−2−222−i2−i2i2i200000000
χ2822-2-20000-222-2-2000020000-2-222−2i−2i2i2i2i−2i0000−i2−i2i2i2−2−22222−2−2i2i2−i2−i200000000
χ292-22-2002i−2i0022-20000-22i2i−2i−2i00002i−2i2i−2i00002-200002i−2i2i−2i00002-22-200000000
χ302-22-2002i−2i0022-20000-22i2i−2i−2i00002i−2i2i−2i00002-20000−2i2i−2i2i0000-22-2200000000
χ312-22-2002i−2i0022-20000-22i2i−2i−2i0000−2i2i−2i2i0000-222-22-200002i−2i2i−2i000000000000
χ322-22-2002i−2i0022-20000-22i2i−2i−2i0000−2i2i−2i2i0000-22-22-220000−2i2i−2i2i000000000000
χ332-22-200−2i2i0022-20000-2−2i−2i2i2i00002i−2i2i−2i0000-222-22-20000−2i2i−2i2i000000000000
χ342-22-200−2i2i0022-20000-2−2i−2i2i2i00002i−2i2i−2i0000-22-22-2200002i−2i2i−2i000000000000
χ352-22-200−2i2i0022-20000-2−2i−2i2i2i0000−2i2i−2i2i00002-200002i−2i2i−2i0000-22-2200000000
χ362-22-200−2i2i0022-20000-2−2i−2i2i2i0000−2i2i−2i2i00002-20000−2i2i−2i2i00002-22-200000000
χ372-2-222-200002-2222-2-2-2000000002-2-22002-200i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i200000000
χ382-2-222-200002-2222-2-2-2000000002-2-22002-200−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i200000000
χ392-2-222-200002-2222-2-2-200000000-222-200-2200i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i200000000
χ402-2-222-200002-2222-2-2-200000000-222-200-2200−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i200000000
χ412-2-22-2200002-22-2-222-2000000002-2-2200-2200i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i200000000
χ422-2-22-2200002-22-2-222-2000000002-2-2200-2200−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i200000000
χ432-2-22-2200002-22-2-222-200000000-222-2002-200i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i200000000
χ442-2-22-2200002-22-2-222-200000000-222-2002-200−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i200000000
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
χ4988-8-800008-8-1113-33-3-13-33-3-1-1110000000000000000000000000000000000
χ5088-8-800008-8-111-33-33-1-33-33-1-1110000000000000000000000000000000000
χ5188-8-80000-88-1113-33-3-1-33-3311-1-10000000000000000000000000000000000
χ5288-8-80000-88-111-33-33-13-33-311-1-10000000000000000000000000000000000
χ538-88-8008i−8i00-1-113-3-331−i−iii3i−3i3i−3i0000000000000000000000000000000000
χ548-88-8008i−8i00-1-11-333-31−i−iii−3i3i−3i3i0000000000000000000000000000000000
χ558-88-800−8i8i00-1-113-3-331ii−i−i−3i3i−3i3i0000000000000000000000000000000000
χ568-88-800−8i8i00-1-11-333-31ii−i−i3i−3i3i−3i0000000000000000000000000000000000
χ578-8-888-80000-11-1-1-11113i−3i−3i3i3i−3i−3i3i0000000000000000000000000000000000
χ588-8-888-80000-11-1-1-1111−3i3i3i−3i−3i3i3i−3i0000000000000000000000000000000000
χ598-8-88-880000-11-111-1-113i−3i−3i3i−3i3i3i−3i0000000000000000000000000000000000
χ608-8-88-880000-11-111-1-11−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000000000

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