Finite Group Databasebeta

← Group #11788930

Character table — Group #11788930

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size112224444444488888161616161818181824242424242424242424242436363636363636363636484848484848
order12244223366666121212126666224444448888121212124488888888121224242424
χ1111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ511111-1-111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ611111-1-111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111
χ711111-1-111111111111-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-11111-1-111-1-1
χ811111-1-111111111111-1-1-1-11111-1-111-1-1111111-1-11111-1-1-1-1-1-1-1-111
χ9111-1-11-11111111-1-1-1-111-1-111-1-11-11-1i−ii−i11-1-11-1ii−i−iii−i−i1-1i−ii−i
χ10111-1-11-11111111-1-1-1-111-1-111-1-11-11-1−ii−ii11-1-11-1−i−iii−i−iii1-1−ii−ii
χ11111-1-11-11111111-1-1-1-111-1-111-1-1-11-11i−ii−i-1-1111-1−i−iii−i−iii-11i−ii−i
χ12111-1-11-11111111-1-1-1-111-1-111-1-1-11-11−ii−ii-1-1111-1ii−i−iii−i−i-11−ii−ii
χ13111-1-1-111111111-1-1-1-1-1-11111-1-11-1-11i−i−ii-1-111-11ii−i−i−i−iii1-1i−i−ii
χ14111-1-1-111111111-1-1-1-1-1-11111-1-11-1-11−iii−i-1-111-11−i−iiiii−i−i1-1−iii−i
χ15111-1-1-111111111-1-1-1-1-1-11111-1-1-111-1i−i−ii11-1-1-11−i−iiiii−i−i-11i−i−ii
χ16111-1-1-111111111-1-1-1-1-1-11111-1-1-111-1−iii−i11-1-1-11ii−i−i−i−iii-11−iii−i
χ172222222222222222222222-2-2-2-2000000000000-2-200000000000000
χ1822222-2-222222222222-2-2-2-2-2-2-2-20000000000002200000000000000
χ19222-2-22-22222222-2-2-2-222-2-2-2-222000000000000-2200000000000000
χ20222-2-2-222222222-2-2-2-2-2-222-2-2220000000000002-200000000000000
χ2122-22-200222-2-22-22-22-200002-22-20000000000000000002i−2i2i−2i000000
χ2222-22-200222-2-22-22-22-200002-22-2000000000000000000−2i2i−2i2i000000
χ2322-22-200222-2-22-22-22-20000-22-22000000000000002-22-20000000000
χ2422-22-200222-2-22-22-22-20000-22-2200000000000000-22-220000000000
χ2522-2-2200222-2-22-2-22-2200002-2-220000000000000000002-2-22000000
χ2622-2-2200222-2-22-2-22-2200002-2-22000000000000000000-222-2000000
χ2722-2-2200222-2-22-2-22-220000-222-2000000000000002i−2i−2i2i0000000000
χ2822-2-2200222-2-22-2-22-220000-222-200000000000000−2i2i2i−2i0000000000
χ2944444441-21-2-2-21-2-2111-21-20000000022220000000000000000-1-1-1-1
χ3044444441-21-2-2-21-2-2111-21-200000000-2-2-2-200000000000000001111
χ314444444-21-2111-211-2-2-21-21000022220000-1-1-1-10000000000-1-10000
χ324444444-21-2111-211-2-2-21-210000-2-2-2-2000011110000000000110000
χ3344444-4-41-21-2-2-21-2-211-12-120000000022-2-20000000000000000-1-111
χ3444444-4-41-21-2-2-21-2-211-12-1200000000-2-222000000000000000011-1-1
χ3544444-4-4-21-2111-211-2-22-12-1000022-2-2000011110000000000-1-10000
χ3644444-4-4-21-2111-211-2-22-12-10000-2-2220000-1-1-1-10000000000110000
χ37444-4-44-41-21-2-2-2122-1-11-2-12000000002i−2i2i−2i0000000000000000−ii−ii
χ38444-4-44-41-21-2-2-2122-1-11-2-1200000000−2i2i−2i2i0000000000000000i−ii−i
χ39444-4-44-4-21-2111-2-1-122-212-100002-22-20000-1-1110000000000-110000
χ40444-4-44-4-21-2111-2-1-122-212-10000-22-22000011-1-100000000001-10000
χ41444-4-4-441-21-2-2-2122-1-1-121-2000000002i−2i−2i2i0000000000000000−iii−i
χ42444-4-4-441-21-2-2-2122-1-1-121-200000000−2i2i2i−2i0000000000000000i−i−ii
χ43444-4-4-44-21-2111-2-1-1222-1-2100002-2-22000011-1-10000000000-110000
χ44444-4-4-44-21-2111-2-1-1222-1-210000-222-20000-1-11100000000001-10000
χ4588-88-8002-4244-4-2-442-2000000000000000000000000000000000000
χ4688-88-800-42-4-2-2242-2-44000000000000000000000000000000000000
χ4788-8-88002-4244-4-24-4-22000000000000000000000000000000000000
χ4888-8-8800-42-4-2-224-224-4000000000000000000000000000000000000
χ498-80000088-800-800000000000000000000000000000000000000000
χ508-800000-4246-6-20000000000000000000000023−230000000000000000
χ518-800000-4246-6-200000000000000000000000−23230000000000000000
χ528-800000-424-66-200000000000000000000023−23000000000000000000
χ538-800000-424-66-2000000000000000000000−2323000000000000000000
χ5416-16000004-8-400800000000000000000000000000000000000000000

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