Finite Group Databasebeta

← Group #64339

Character table — Group #64339

Order 288.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33
size116666616161616116666616161616116666616161616
order1222244336636666121233663666612123366
χ1111111111111111111111111111111111
χ21111111−1+i32−1−i32−1+i32−1−i321111111−1+i32−1−i32−1+i32−1−i321111111−1+i32−1−i32−1+i32−1−i32
χ31111111−1−i32−1+i32−1−i32−1+i321111111−1−i32−1+i32−1−i32−1+i321111111−1−i32−1+i32−1−i32−1+i32
χ4333-1-1-1-10000333-1-1-1-10000333-1-1-1-10000
χ533-13-1-1-1000033-13-1-1-1000033-13-1-1-10000
χ633-1-13-1-1000033-1-13-1-1000033-1-13-1-10000
χ733-1-1-13-1000033-1-1-13-1000033-1-1-13-10000
χ833-1-1-1-13000033-1-1-1-13000033-1-1-1-130000
χ94-40000011-1-14-40000011-1-14-40000011-1-1
χ104-400000−1+i32−1−i321−i321+i324-400000−1+i32−1−i321−i321+i324-400000−1+i32−1−i321−i321+i32
χ114-400000−1−i32−1+i321+i321−i324-400000−1−i32−1+i321+i321−i324-400000−1−i32−1+i321+i321−i32
χ1211111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ131111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321−1−i321−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i321−1+i32
χ141111111−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i321−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321−1+i321
χ15333-1-1-1-10000−3+3i32−3+3i32−3+3i321−i321−i321−i321−i320000−3−3i32−3−3i32−3−3i321+i321+i321+i321+i320000
χ1633-13-1-1-10000−3+3i32−3+3i321−i32−3+3i321−i321−i321−i320000−3−3i32−3−3i321+i32−3−3i321+i321+i321+i320000
χ1733-1-13-1-10000−3+3i32−3+3i321−i321−i32−3+3i321−i321−i320000−3−3i32−3−3i321+i321+i32−3−3i321+i321+i320000
χ1833-1-1-13-10000−3+3i32−3+3i321−i321−i321−i32−3+3i321−i320000−3−3i32−3−3i321+i321+i321+i32−3−3i321+i320000
χ1933-1-1-1-130000−3+3i32−3+3i321−i321−i321−i321−i32−3+3i320000−3−3i32−3−3i321+i321+i321+i321+i32−3−3i320000
χ204-40000011-1-1−2+2i32−2i300000−1+i32−1+i321−i321−i32−2−2i32+2i300000−1−i32−1−i321+i321+i32
χ214-400000−1+i32−1−i321−i321+i32−2+2i32−2i300000−1−i3211+i32-1−2−2i32+2i3000001−1+i32-11−i32
χ224-400000−1−i32−1+i321+i321−i32−2+2i32−2i3000001−1−i32-11+i32−2−2i32+2i300000−1+i3211−i32-1
χ2311111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ241111111−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i321−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321−1−i321
χ251111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321−1+i321−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i321−1−i32
χ26333-1-1-1-10000−3−3i32−3−3i32−3−3i321+i321+i321+i321+i320000−3+3i32−3+3i32−3+3i321−i321−i321−i321−i320000
χ2733-13-1-1-10000−3−3i32−3−3i321+i32−3−3i321+i321+i321+i320000−3+3i32−3+3i321−i32−3+3i321−i321−i321−i320000
χ2833-1-13-1-10000−3−3i32−3−3i321+i321+i32−3−3i321+i321+i320000−3+3i32−3+3i321−i321−i32−3+3i321−i321−i320000
χ2933-1-1-13-10000−3−3i32−3−3i321+i321+i321+i32−3−3i321+i320000−3+3i32−3+3i321−i321−i321−i32−3+3i321−i320000
χ3033-1-1-1-130000−3−3i32−3−3i321+i321+i321+i321+i32−3−3i320000−3+3i32−3+3i321−i321−i321−i321−i32−3+3i320000
χ314-40000011-1-1−2−2i32+2i300000−1−i32−1−i321+i321+i32−2+2i32−2i300000−1+i32−1+i321−i321−i32
χ324-400000−1+i32−1−i321−i321+i32−2−2i32+2i3000001−1+i32-11−i32−2+2i32−2i300000−1−i3211+i32-1
χ334-400000−1−i32−1+i321+i321−i32−2−2i32+2i300000−1+i3211−i32-1−2+2i32−2i3000001−1−i32-11+i32

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