Finite Group Databasebeta

← Group #72219852

Character table — Group #72219852

Order 15360.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34
size1510151530326060608080160160160160240240480640640640640960960960960960960960960102410241024
order122222322224466644461212124488888851515
χ11111111111111111111111111111111111
χ211111111111111111111111-1-1-1-1-1-1-1-1111
χ31111111111-1-1-1111-1-1-1-1-1-1-1i−ii−iii−i−i111
χ41111111111-1-1-1111-1-1-1-1-1-1-1−ii−ii−i−iii111
χ5222222-1222222-1-1-1222-1-1-1-1000000002-1-1
χ6222222-1222-2-2-2-1-1-1-2-2-21111000000002-1-1
χ74444444444000444000000000000000-1-1-1
χ8444444-2444000-2-2-2000000000000000-11−i1521+i152
χ9444444-2444000-2-2-2000000000000000-11+i1521−i152
χ105-315-31511-311-111-311-111-1-111-1-11-11-1000
χ115-315-31511-311-111-311-111-1-1-1-111-11-11000
χ125-315-31511-3-1-1111-3-1-11-1-111i−i−iii−i−ii000
χ135-315-31511-3-1-1111-3-1-11-1-111−iii−i−iii−i000
χ14102-2102-210-2-222-20-2-222-202-20000000000000
χ15102-2102-210-2-22-220-2-22-220-220000000000000
χ16102-2102-2-5-2-222-201−2i31+2i3-12-20-11−i3i300000000000
χ17102-2102-2-5-2-222-201+2i31−2i3-12-20-11i3−i300000000000
χ18102-2102-2-5-2-22-2201−2i31+2i3-1-2201-1i3−i300000000000
χ19102-2102-2-5-2-22-2201+2i31−2i3-1-2201-1−i3i300000000000
χ2010-6210-62-522-622-2-1-1322-2-1-11100000000000
χ2110-6210-62-522-6-2-22-1-13-2-2211-1-100000000000
χ22151515-1-1-10-1-1-1333000-1-1-100001111-1-1-1-1000
χ23151515-1-1-10-1-1-1333000-1-1-10000-1-1-1-11111000
χ24151515-1-1-10-1-1-1-3-3-30001110000i−ii−i−i−iii000
χ25151515-1-1-10-1-1-1-3-3-30001110000−ii−iiii−i−i000
χ2615-93-17303-5-133-3000-1-11000011-1-1-11-11000
χ2715-93-17303-5-133-3000-1-110000-1-1111-11-1000
χ2815-93-17303-5-1-3-3300011-10000i−i−ii−iii−i000
χ2915-93-17303-5-1-3-3300011-10000−iii−ii−i−ii000
χ30306-6-26100-62-26-60000-220000000000000000
χ31306-6-26100-62-2-6600002-20000000000000000
χ326012-12-412-12044-4000000000000000000000000
χ336012-12-4-20404-44000000000000000000000000
χ3460-3612-4-4-40-444000000000000000000000000

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