Finite Group Databasebeta

← Group #13091196

Character table — Group #13091196

Order 1458.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45
size1112226669999999918181818181818182727275454545454545454548181818181818181
order133333333339999993399999926699999999966181818181818
χ1111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-1-1111111111-1-1-1-1-1-1-1-1
χ311111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ411111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-11−i321−i321−i321+i321+i321+i32
χ511111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ611111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-11+i321+i321+i321−i321−i321−i32
χ7111111111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32
χ8111111111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-1-11−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−i321+i32-11−i321+i32-11−i321+i32
χ9111111111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i32−1+i32−1−i321−1−i321−1+i321111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32
χ10111111111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32-1-1-11−1+i32−1−i32−1+i32−1−i321−1−i321−1+i321−i321+i321−i321+i32-11+i32-11−i32
χ11111111111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321−1+i32−1−i32−1−i321−1+i32−1+i32−1−i3211111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321
χ12111111111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321-1-1-11−1+i32−1−i32−1−i321−1+i32−1+i32−1−i3211−i321+i321+i32-11−i321−i321+i32-1
χ13111111111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ14111111111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-1-11−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321+i321−i32-11+i321−i32-11+i321−i32
χ15111111111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321−1−i32−1+i32−1+i321−1−i32−1−i32−1+i3211111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321
χ16111111111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321-1-1-11−1−i32−1+i32−1+i321−1−i32−1−i32−1+i3211+i321−i321−i32-11+i321+i321−i32-1
χ17111111111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i32−1−i32−1+i321−1+i321−1−i321111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32
χ18111111111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32-1-1-11−1−i32−1+i32−1−i32−1+i321−1+i321−1−i321+i321−i321+i321−i32-11−i32-11+i32
χ192222222222222222222222222000-1-1-1-1-1-1-1-1-100000000
χ2022222222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3000-1-1-11−i321−i321−i321+i321+i321+i3200000000
χ2122222222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3000-1-1-11+i321+i321+i321−i321−i321−i3200000000
χ22222222222−1+i3−1−i32−1+i3−1−i32−1+i3−1−i3−1+i3−1−i32−1+i3−1−i32−1+i3−1−i3000-11−i321+i32-11−i321+i32-11−i321+i3200000000
χ23222222222−1+i3−1−i3−1+i3−1−i32−1−i32−1+i3−1+i3−1−i3−1+i3−1−i32−1−i32−1+i3000-11−i321+i321−i321+i32-11+i32-11−i3200000000
χ24222222222−1+i3−1−i3−1−i32−1+i3−1+i3−1−i32−1+i3−1−i3−1−i32−1+i3−1+i3−1−i32000-11−i321+i321+i32-11−i321−i321+i32-100000000
χ25222222222−1−i3−1+i32−1−i3−1+i32−1−i3−1+i3−1−i3−1+i32−1−i3−1+i32−1−i3−1+i3000-11+i321−i32-11+i321−i32-11+i321−i3200000000
χ26222222222−1−i3−1+i3−1+i32−1−i3−1−i3−1+i32−1−i3−1+i3−1+i32−1−i3−1−i3−1+i32000-11+i321−i321−i32-11+i321+i321−i32-100000000
χ27222222222−1−i3−1+i3−1−i3−1+i32−1+i32−1−i3−1−i3−1+i3−1−i3−1+i32−1+i32−1−i3000-11+i321−i321+i321−i32-11−i32-11+i3200000000
χ28666666-3-3-366000000-3-300000000000000000000000000
χ29666666-3-3-3−3+3i3−3−3i30000003−3i323+3i3200000000000000000000000000
χ30666666-3-3-3−3−3i3−3+3i30000003+3i323−3i3200000000000000000000000000
χ31666-3-3-36-3-3000060600000-30-3000000000000000000000
χ32666-3-3-36-3-30000−3+3i30−3−3i3000003−3i3203+3i32000000000000000000000
χ33666-3-3-36-3-30000−3−3i30−3+3i3000003+3i3203−3i32000000000000000000000
χ34666-3-3-3-36-300060006000-3000-300000000000000000000
χ35666-3-3-3-36-3000−3+3i3000−3−3i30003−3i320003+3i3200000000000000000000
χ36666-3-3-3-36-3000−3−3i3000−3+3i30003+3i320003−3i3200000000000000000000
χ37666-3-3-3-3-360060060000-300-30000000000000000000000
χ38666-3-3-3-3-3600−3+3i300−3−3i300003−3i32003+3i320000000000000000000000
χ39666-3-3-3-3-3600−3−3i300−3+3i300003+3i32003−3i320000000000000000000000
χ409−9+9i32−9−9i32−9+9i32−9−9i32900000000000000000003−3+3i32−3−3i3200000000000000000
χ419−9+9i32−9−9i32−9+9i32−9−9i3290000000000000000000-33−3i323+3i3200000000000000000
χ429−9−9i32−9+9i32−9−9i32−9+9i32900000000000000000003−3−3i32−3+3i3200000000000000000
χ439−9−9i32−9+9i32−9−9i32−9+9i3290000000000000000000-33+3i323−3i3200000000000000000
χ4418−9+9i3−9−9i39−9i329+9i32-9000000000000000000000000000000000000000
χ4518−9−9i3−9+9i39+9i329−9i32-9000000000000000000000000000000000000000

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