Finite Group Databasebeta

← Group #11724203

Character table — Group #11724203

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size1122336688888818181818224466121216161616161636363636336699181824242424242454545454
order1236226633366644443636666633366612121212226622666666664444
χ1111111111111111111111111111111111111111111111111111111
χ211111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-1
χ31-11-11-11-1111-1-1-1i−ii−i1-11-11-11-1111-1-1-1i−ii−i1-11-11-11-1111-1-1-1i−ii−i
χ41-11-11-11-1111-1-1-1−ii−ii1-11-11-11-1111-1-1-1−ii−ii1-11-11-11-1111-1-1-1−ii−ii
χ522222222-1-1-1-1-1-1000022222222-1-1-1-1-1-1000022222222-1-1-1-1-1-10000
χ622-1-122-1-12-1-12-1-1000022-1-122-1-12-1-12-1-1000022-1-122-1-12-1-12-1-10000
χ722-1-122-1-1-12-1-12-1000022-1-122-1-1-12-1-12-1000022-1-122-1-1-12-1-12-10000
χ822-1-122-1-1-1-12-1-12000022-1-122-1-1-1-12-1-12000022-1-122-1-1-1-12-1-120000
χ92-22-22-22-2-1-1-111100002-22-22-22-2-1-1-111100002-22-22-22-2-1-1-11110000
χ102-2-112-2-112-1-1-21100002-2-112-2-112-1-1-21100002-2-112-2-112-1-1-2110000
χ112-2-112-2-11-12-11-2100002-2-112-2-11-12-11-2100002-2-112-2-11-12-11-210000
χ122-2-112-2-11-1-1211-200002-2-112-2-11-1-1211-200002-2-112-2-11-1-1211-20000
χ133333-1-1-1-100000011-1-13333-1-1-1-100000011-1-13333-1-1-1-100000011-1-1
χ143333-1-1-1-1000000-1-1113333-1-1-1-1000000-1-1113333-1-1-1-1000000-1-111
χ153-33-3-11-11000000i−i−ii3-33-3-11-11000000i−i−ii3-33-3-11-11000000i−i−ii
χ163-33-3-11-11000000−iii−i3-33-3-11-11000000−iii−i3-33-3-11-11000000−iii−i
χ1766-3-3-2-211000000000066-3-3-2-211000000000066-3-3-2-2110000000000
χ186-6-33-221-100000000006-6-33-221-100000000006-6-33-221-10000000000
χ19111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2011111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ211-11-11-11-1111-1-1-1i−ii−i1-11-11-11-1111-1-1-1i−ii−i-11-11-11-11-1-1-1111−ii−ii
χ221-11-11-11-1111-1-1-1−ii−ii1-11-11-11-1111-1-1-1−ii−ii-11-11-11-11-1-1-1111i−ii−i
χ2322222222-1-1-1-1-1-1000022222222-1-1-1-1-1-10000-2-2-2-2-2-2-2-21111110000
χ2422-1-122-1-12-1-12-1-1000022-1-122-1-12-1-12-1-10000-2-211-2-211-211-2110000
χ2522-1-122-1-1-12-1-12-1000022-1-122-1-1-12-1-12-10000-2-211-2-2111-211-210000
χ2622-1-122-1-1-1-12-1-12000022-1-122-1-1-1-12-1-120000-2-211-2-21111-211-20000
χ272-22-22-22-2-1-1-111100002-22-22-22-2-1-1-11110000-22-22-22-22111-1-1-10000
χ282-2-112-2-112-1-1-21100002-2-112-2-112-1-1-2110000-221-1-221-1-2112-1-10000
χ292-2-112-2-11-12-11-2100002-2-112-2-11-12-11-210000-221-1-221-11-21-12-10000
χ302-2-112-2-11-1-1211-200002-2-112-2-11-1-1211-20000-221-1-221-111-2-1-120000
χ313333-1-1-1-100000011-1-13333-1-1-1-100000011-1-1-3-3-3-31111000000-1-111
χ323333-1-1-1-1000000-1-1113333-1-1-1-1000000-1-111-3-3-3-3111100000011-1-1
χ333-33-3-11-11000000i−i−ii3-33-3-11-11000000i−i−ii-33-331-11-1000000−iii−i
χ343-33-3-11-11000000−iii−i3-33-3-11-11000000−iii−i-33-331-11-1000000i−i−ii
χ3566-3-3-2-211000000000066-3-3-2-2110000000000-6-63322-1-10000000000
χ366-6-33-221-100000000006-6-33-221-10000000000-663-32-2-110000000000
χ37222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ3822222222222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-11111000000000000000000
χ392-22-22-22-2222-2-2-22i−2i2i−2i-11-11-11-11-1-1-1111−ii−ii000000000000000000
χ402-22-22-22-2222-2-2-2−2i2i−2i2i-11-11-11-11-1-1-1111i−ii−i000000000000000000
χ4144444444-2-2-2-2-2-20000-2-2-2-2-2-2-2-21111110000000000000000000000
χ4244-2-244-2-24-2-24-2-20000-2-211-2-211-211-2110000000000000000000000
χ4344-2-244-2-2-24-2-24-20000-2-211-2-2111-211-210000000000000000000000
χ4444-2-244-2-2-2-24-2-240000-2-211-2-21111-211-20000000000000000000000
χ454-44-44-44-4-2-2-22220000-22-22-22-22111-1-1-10000000000000000000000
χ464-4-224-4-224-2-2-4220000-221-1-221-1-2112-1-10000000000000000000000
χ474-4-224-4-22-24-22-420000-221-1-221-11-21-12-10000000000000000000000
χ484-4-224-4-22-2-2422-40000-221-1-221-111-2-1-120000000000000000000000
χ496666-2-2-2-200000022-2-2-3-3-3-31111000000-1-111000000000000000000
χ506666-2-2-2-2000000-2-222-3-3-3-3111100000011-1-1000000000000000000
χ516-66-6-22-220000002i−2i−2i2i-33-331-11-1000000−iii−i000000000000000000
χ526-66-6-22-22000000−2i2i2i−2i-33-331-11-1000000i−i−ii000000000000000000
χ531212-6-6-4-4220000000000-6-63322-1-10000000000000000000000000000
χ5412-12-66-442-20000000000-663-32-2-110000000000000000000000000000

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