Finite Group Databasebeta

← Group #4529

Character table — Group #4529

Order 192.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size1111111122222222222244444444444444446666666612121212
order122222223444466666664444121212121212121212121212888888884444
χ1111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111-1-11-1-111-1-1111-1-1-11-1ii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−i
χ6111-1-11-1-111-1-1111-1-1-11-1ii−i−i11-1-1iiii−i−i−i−i-1-1-1-11111−i−iii
χ7111-1-11-1-111-1-1111-1-1-11-1−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1−i−iii
χ8111-1-11-1-111-1-1111-1-1-11-1−i−iii11-1-1−i−i−i−iiiii-1-1-1-11111ii−i−i
χ91-1-11-111-1111-1-1-1-11-1-1111-11-11-11-111-1-111-1-1ii−i−iii−i−ii−ii−i
χ101-1-11-111-1111-1-1-1-11-1-1111-11-11-11-111-1-111-1-1−i−iii−i−iii−ii−ii
χ111-1-11-111-1111-1-1-1-11-1-111-11-111-11-1-1-111-1-111ii−i−iii−i−i−ii−ii
χ121-1-11-111-1111-1-1-1-11-1-111-11-111-11-1-1-111-1-111−i−iii−i−iiii−ii−i
χ131-1-1-111-1111-11-1-1-1-1111-1i−i−ii1-1-11ii−i−i−i−iiiii−i−i−i−iii-111-1
χ141-1-1-111-1111-11-1-1-1-1111-1i−i−ii1-1-11ii−i−i−i−iii−i−iiiii−i−i1-1-11
χ151-1-1-111-1111-11-1-1-1-1111-1−iii−i1-1-11−i−iiiii−i−iii−i−i−i−iii1-1-11
χ161-1-1-111-1111-11-1-1-1-1111-1−iii−i1-1-11−i−iiiii−i−i−i−iiiii−i−i-111-1
χ17222222222-2-2-2-222222220000-2-2-2-200000000000000000000
χ1822222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ1922222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111000000000000
χ2022222222-1-2-2-2-2-1-1-1-1-1-1-100001111−i3i3−i3i3−i3i3−i3i3000000000000
χ2122222222-1-2-2-2-2-1-1-1-1-1-1-100001111i3−i3i3−i3i3−i3i3−i3000000000000
χ22222-2-22-2-22-222-222-2-2-22-20000-2-22200000000000000000000
χ23222-2-22-2-2-12-2-22-1-1111-112i2i−2i−2i-1-111−i−i−i−iiiii000000000000
χ24222-2-22-2-2-12-2-22-1-1111-11−2i−2i2i2i-1-111iiii−i−i−i−i000000000000
χ25222-2-22-2-2-1-222-2-1-1111-11000011-1-13−33−3−33−33000000000000
χ26222-2-22-2-2-1-222-2-1-1111-11000011-1-1−33−333−33−3000000000000
χ2722-222-2-2-2200002-222-2-2-200000000000000002−22−22−22−20000
χ2822-222-2-2-2200002-222-2-2-20000000000000000−22−22−22−220000
χ2922-2-2-2-222200002-2-2-22-2200000000000000002−22−2−22−220000
χ3022-2-2-2-222200002-2-2-22-220000000000000000−22−222−22−20000
χ312-222-2-2-2220000-222-22-2-20000000000000000−i2i2i2−i2−i2i2i2−i20000
χ322-222-2-2-2220000-222-22-2-20000000000000000i2−i2−i2i2i2−i2−i2i20000
χ332-22-22-22-220000-22-22-2-220000000000000000−i2i2i2−i2i2−i2−i2i20000
χ342-22-22-22-220000-22-22-2-220000000000000000i2−i2−i2i2−i2i2i2−i20000
χ352-2-22-222-22-2-222-2-22-2-2220000-22-2200000000000000000000
χ362-2-22-222-2-122-2-211-111-1-12-22-2-11-11-1-111-1-111000000000000
χ372-2-22-222-2-122-2-211-111-1-1-22-22-11-1111-1-111-1-1000000000000
χ382-2-22-222-2-1-2-22211-111-1-100001-11-1−i3i3i3−i3−i3i3i3−i3000000000000
χ392-2-22-222-2-1-2-22211-111-1-100001-11-1i3−i3−i3i3i3−i3−i3i3000000000000
χ402-2-2-222-222-22-22-2-2-2222-20000-222-200000000000000000000
χ412-2-2-222-22-12-22-2111-1-1-112i−2i−2i2i-111-1−i−iiiii−i−i000000000000
χ422-2-2-222-22-12-22-2111-1-1-11−2i2i2i−2i-111-1ii−i−i−i−iii000000000000
χ432-2-2-222-22-1-22-22111-1-1-1100001-1-113−3−33−333−3000000000000
χ442-2-2-222-22-1-22-22111-1-1-1100001-1-11−333−33−3−33000000000000
χ4544-444-4-4-4-20000-22-2-22220000000000000000000000000000
χ4644-4-4-4-444-20000-2222-22-20000000000000000000000000000
χ474-444-4-4-44-200002-2-22-2220000000000000000000000000000
χ484-44-44-44-4-200002-22-222-20000000000000000000000000000

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