Finite Group Databasebeta

← Group #11791674

Character table — Group #11791674

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size11112244888899991616161616161818181818183636363636363636363636363636363672727272
order122244443666222212121212121244444444444444888888884444
χ1111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-1111-1-1-1-1-1-11111-1-1-1-111-1-1
χ411111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-111
χ5111111-1-11111111111-1-1-1-1111111-1-1-1-1-1-11111111111-1-1-1-1
χ6111111-1-11111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ7111111-1-11111111111-1-1-1-11-1-1-1-11-1-11111-1-11111-1-1-1-1-1-111
χ8111111-1-11111111111-1-1-1-11-1-1-1-11-1-11111-1-1-1-1-1-1111111-1-1
χ91-11-11-1i−i1-11-1-1-1111-1ii−i−i111-1-1-1i−iii−i−i1-1ii−i−iii−i−i1-11-1
χ101-11-11-1i−i1-11-1-1-1111-1ii−i−i111-1-1-1i−iii−i−i1-1−i−iii−i−iii-11-11
χ111-11-11-1i−i1-11-1-1-1111-1ii−i−i1-1-111-1i−i−i−iii-11ii−i−i−i−iii1-1-11
χ121-11-11-1i−i1-11-1-1-1111-1ii−i−i1-1-111-1i−i−i−iii-11−i−iiiii−i−i-111-1
χ131-11-11-1−ii1-11-1-1-1111-1−i−iii111-1-1-1−ii−i−iii1-1ii−i−iii−i−i-11-11
χ141-11-11-1−ii1-11-1-1-1111-1−i−iii111-1-1-1−ii−i−iii1-1−i−iii−i−iii1-11-1
χ151-11-11-1−ii1-11-1-1-1111-1−i−iii1-1-111-1−iiii−i−i-11ii−i−i−i−iii-111-1
χ161-11-11-1−ii1-11-1-1-1111-1−i−iii1-1-111-1−iiii−i−i-11−i−iiiii−i−i1-1-11
χ17222222222222-2-2-2-2222222-20000-2-2-2000000000000000000
χ18222222-2-22222-2-2-2-222-2-2-2-2-20000-222000000000000000000
χ192222-2-20022222222-2-20000-22222-2000000-2-2000000000000
χ202222-2-20022222222-2-20000-2-2-2-2-2-200000022000000000000
χ212222-2-2002222-2-2-2-2-2-20000200002002i−2i2i−2i00000000000000
χ222222-2-2002222-2-2-2-2-2-2000020000200−2i2i−2i2i00000000000000
χ2322-2-2000022-2-2-222-200000002i−2i2i−2i000000000i2−i2i2−i22−22−20000
χ2422-2-2000022-2-2-222-200000002i−2i2i−2i000000000−i2i2−i2i2−22−220000
χ2522-2-2000022-2-2-222-20000000−2i2i−2i2i000000000i2−i2i2−i2−22−220000
χ2622-2-2000022-2-2-222-20000000−2i2i−2i2i000000000−i2i2−i2i22−22−20000
χ272-22-22-22i−2i2-22-222-2-22-22i2i−2i−2i-200002−2i2i000000000000000000
χ282-22-22-2−2i2i2-22-222-2-22-2−2i−2i2i2i-2000022i−2i000000000000000000
χ292-22-2-22002-22-222-2-2-22000020000-2002-2-2200000000000000
χ302-22-2-22002-22-222-2-2-22000020000-200-222-200000000000000
χ312-22-2-22002-22-2-2-222-220000-222-2-22000000-22000000000000
χ322-22-2-22002-22-2-2-222-220000-2-2-22220000002-2000000000000
χ332-2-2200002-2-222-22-200000002i−2i−2i2i0000000002−2−22−i2i2i2−i20000
χ342-2-2200002-2-222-22-200000002i−2i−2i2i000000000−222−2i2−i2−i2i20000
χ352-2-2200002-2-222-22-20000000−2i2i2i−2i0000000002−2−22i2−i2−i2i20000
χ362-2-2200002-2-222-22-20000000−2i2i2i−2i000000000−222−2−i2i2i2−i20000
χ3744-4-4000044-4-44-4-4400000000000000000000000000000000
χ384-4-4400004-4-44-44-4400000000000000000000000000000000
χ3988888888-1-1-1-10000-1-1-1-1-1-100000000000000000000000000
χ40888888-8-8-1-1-1-10000-1-1111100000000000000000000000000
χ418888-8-800-1-1-1-10000113-33-300000000000000000000000000
χ428888-8-800-1-1-1-1000011-33-3300000000000000000000000000
χ438-88-88-88i−8i-11-110000-11−i−iii00000000000000000000000000
χ448-88-88-8−8i8i-11-110000-11ii−i−i00000000000000000000000000
χ458-88-8-8800-11-1100001-13i−3i−3i3i00000000000000000000000000
χ468-88-8-8800-11-1100001-1−3i3i3i−3i00000000000000000000000000
χ471616-16-160000-2-222000000000000000000000000000000000000
χ4816-16-16160000-222-2000000000000000000000000000000000000

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