Finite Group Databasebeta

← Group #11785297

Character table — Group #11785297

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
χ5111111-1-11111111111-1-1-1-1111111-1-111-1-1-1-111111111-1-1-1-1
χ6111111-1-11111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111-1-11111111111-1-1-1-11-1-1-1-11-1-1-1-111111111-1-1-1-1-1-111
χ8111111-1-11111111111-1-1-1-11-1-1-1-11-1-1-1-11111-1-1-1-1111111-1-1
χ91-1-111-11-11-1-111-1-111-111-1-1111-1-1-11-11-111-1-1ii−i−iii−i−ii−ii−i
χ101-1-111-11-11-1-111-1-111-111-1-1111-1-1-11-11-111-1-1−i−iii−i−iii−ii−ii
χ111-1-111-11-11-1-111-1-111-111-1-11-1-111-11-1-11-1-111ii−i−i−i−iiii−i−ii
χ121-1-111-11-11-1-111-1-111-111-1-11-1-111-11-1-11-1-111−i−iiiii−i−i−iii−i
χ131-1-111-1-111-1-111-1-111-1-1-111111-1-1-1-111-1-1-111ii−i−iii−i−i−ii−ii
χ141-1-111-1-111-1-111-1-111-1-1-111111-1-1-1-111-1-1-111−i−iii−i−iiii−ii−i
χ151-1-111-1-111-1-111-1-111-1-1-1111-1-111-1-11-1111-1-1ii−i−i−i−iii−iii−i
χ161-1-111-1-111-1-111-1-111-1-1-1111-1-111-1-11-1111-1-1−i−iiiii−i−ii−i−ii
χ17222222222222-2-2-2-2222222-20000-2-2-2000000000000000000
χ18222222-2-22222-2-2-2-222-2-2-2-2-20000-222000000000000000000
χ192222-2-20022222222-2-20000-22222-200-2-20000000000000000
χ202222-2-20022222222-2-20000-2-2-2-2-2-200220000000000000000
χ212222-2-2002222-2-2-2-2-2-2000020000200002i−2i2i−2i000000000000
χ222222-2-2002222-2-2-2-2-2-200002000020000−2i2i−2i2i000000000000
χ2322-2-2000022-2-2-22-2200000002i−2i2i−2i000000000i2−i2i2−i22−22−20000
χ2422-2-2000022-2-2-22-2200000002i−2i2i−2i000000000−i2i2−i2i2−22−220000
χ2522-2-2000022-2-2-22-220000000−2i2i−2i2i000000000i2−i2i2−i2−22−220000
χ2622-2-2000022-2-2-22-220000000−2i2i−2i2i000000000−i2i2−i2i22−22−20000
χ272-22-200002-22-2-2-22200000002i−2i−2i2i0000000002−2−22−i2i2i2−i20000
χ282-22-200002-22-2-2-22200000002i−2i−2i2i000000000−222−2i2−i2−i2i20000
χ292-22-200002-22-2-2-2220000000−2i2i2i−2i0000000002−2−22i2−i2−i2i20000
χ302-22-200002-22-2-2-2220000000−2i2i2i−2i000000000−222−2−i2i2i2−i20000
χ312-2-222-22-22-2-22-222-22-222-2-2-200002-22000000000000000000
χ322-2-222-2-222-2-22-222-22-2-2-222-2000022-2000000000000000000
χ332-2-22-22002-2-222-2-22-220000-222-2-2200-220000000000000000
χ342-2-22-22002-2-222-2-22-220000-2-2-2222002-20000000000000000
χ352-2-22-22002-2-22-222-2-22000020000-200002i−2i−2i2i000000000000
χ362-2-22-22002-2-22-222-2-22000020000-20000−2i2i2i−2i000000000000
χ3744-4-4000044-4-44-44-400000000000000000000000000000000
χ384-44-400004-44-444-4-400000000000000000000000000000000
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
χ438-8-888-88-8-111-10000-11-1-11100000000000000000000000000
χ448-8-888-8-88-111-10000-1111-1-100000000000000000000000000
χ458-8-88-8800-111-100001-13-3-3300000000000000000000000000
χ468-8-88-8800-111-100001-1-333-300000000000000000000000000
χ471616-16-160000-2-222000000000000000000000000000000000000
χ4816-1616-160000-22-22000000000000000000000000000000000000

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