Finite Group Databasebeta

← Group #88439

Character table — Group #88439

Order 432.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29
size1122246666661212121212181818181818363636363636
order1234612336612123612121288242424244412121212
χ111111111111111111111111111111
χ211111111111111111111111-1-1-1-1-1-1
χ311111111111111111-1-1-1-1-1-11-111-1-1
χ411111111111111111-1-1-1-1-1-1-11-1-111
χ52222222-12-122-1-1-1-1-10000000200-1-1
χ62222222-12-122-1-1-1-1-10000000-20011
χ7222222-12-12-1-1-1-12-1-122-1-1-1-1000000
χ8222222-12-12-1-1-1-12-1-1-2-21111000000
χ9222-22-22222-2-222-2-2-2000000000000
χ10222-22-22-12-1-2-2-1-11110000000000−i3i3
χ11222-22-22-12-1-2-2-1-11110000000000i3−i3
χ12222-22-2-12-1211-1-1-2110033−3−3000000
χ13222-22-2-12-1211-1-1-21100−3−333000000
χ142-220-2022-2-2002-20002−22−22−2000000
χ152-220-2022-2-2002-2000−22−22−22000000
χ162-220-20-121-23−3-1103−32−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23000000
χ172-220-20-121-23−3-1103−3−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23000000
χ182-220-20-121-2−33-110−332−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7000000
χ192-220-20-121-2−33-110−33−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7000000
χ20444444-2-2-2-2-2-211-211000000000000
χ21444-44-4-2-2-2-222112-1-1000000000000
χ224-440-404-2-4200-22000000000000000
χ234-440-40-2-22223−231-10−33000000000000
χ244-440-40-2-222−23231-103−3000000000000
χ2566-36-3-30000000000000000020-1-100
χ2666-36-3-300000000000000000-201100
χ2766-3-6-330000000000000000000−i3i300
χ2866-3-6-330000000000000000000i3−i300
χ2912-12-606000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.