Finite Group Databasebeta

← Group #13091195

Character table — Group #13091195

Order 1458.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45
size1112226669918181818181818181818182727272727272727275454545454548181818181818181
order133333333333399999999926699999999999966181818181818
χ1111111111111111111111111111111111111111111111
χ21111111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ31111111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ41111111111111111111111-1-1-1111111111111-1-1-1-1-1-1-1-1
χ51111111111111111111111-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-11−i321−i321−i321+i321+i321+i32
χ61111111111111111111111-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-11+i321+i321+i321−i321−i321−i32
χ7111111111−1+i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111−1+i32−1−i321−1+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−i32−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32
χ9111111111−1+i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321
χ10111111111−1+i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-11−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−i321+i32-11−i321+i32-11−i321+i32
χ11111111111−1+i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1−i321−1+i321−i321+i321−i321+i32-11+i32-11−i32
χ12111111111−1+i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i3211−i321+i321+i32-11−i321−i321+i32-1
χ13111111111−1−i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111−1−i32−1+i321−1−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+i32−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321
χ15111111111−1−i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32
χ16111111111−1−i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-11−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321+i321−i32-11+i321−i32-11+i321−i32
χ17111111111−1−i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i3211+i321−i321−i32-11+i321+i321−i32-1
χ18111111111−1−i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i321+i321−i321+i321−i32-11−i32-11+i32
χ192222222222222-1-1-1-1-1-1-1-1-1000222222-1-1-1-1-1-100000000
χ202222222222222-1-1-1-1-1-1-1-1-1000−1+i3−1+i3−1+i3−1−i3−1−i3−1−i31−i321−i321−i321+i321+i321+i3200000000
χ212222222222222-1-1-1-1-1-1-1-1-1000−1−i3−1−i3−1−i3−1+i3−1+i3−1+i31+i321+i321+i321−i321−i321−i3200000000
χ22222222222−1+i3−1−i3−1+i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i320002−1+i3−1−i32−1+i3−1−i3-11−i321+i32-11−i321+i3200000000
χ23222222222−1+i3−1−i3−1+i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32000−1+i3−1−i32−1−i32−1+i31−i321+i32-11+i32-11−i3200000000
χ24222222222−1+i3−1−i3−1+i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32000−1−i32−1+i3−1+i3−1−i321+i32-11−i321−i321+i32-100000000
χ25222222222−1−i3−1+i3−1−i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i320002−1−i3−1+i32−1−i3−1+i3-11+i321−i32-11+i321−i3200000000
χ26222222222−1−i3−1+i3−1−i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32000−1+i32−1−i3−1−i3−1+i321−i32-11+i321+i321−i32-100000000
χ27222222222−1−i3−1+i3−1−i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32000−1−i3−1+i32−1+i32−1−i31+i321−i32-11−i32-11+i3200000000
χ283−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i3200003−3+3i32−3−3i320000003−3+3i32−3−3i3200000000000000000000
χ293−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i3200003−3+3i32−3−3i32000000-33−3i323+3i3200000000000000000000
χ303−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i3200003−3−3i32−3+3i320000003−3−3i32−3+3i3200000000000000000000
χ313−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i3200003−3−3i32−3+3i32000000-33+3i323−3i3200000000000000000000
χ32666666-3-3-366-3-300000000000000000000000000000000
χ33666666-3-3-3−3+3i3−3−3i33−3i323+3i3200000000000000000000000000000000
χ34666666-3-3-3−3−3i3−3+3i33+3i323−3i3200000000000000000000000000000000
χ356−3+3i3−3−3i3−3+3i3−3−3i366−3+3i3−3−3i30000-33−3i323+3i3200000000000000000000000000000
χ366−3+3i3−3−3i3−3+3i3−3−3i36-33−3i323+3i3200000003−3+3i32−3−3i323−3+3i32−3−3i3200000000000000000000000
χ376−3+3i3−3−3i3−3+3i3−3−3i36-33−3i323+3i320000000−3+3i32−3−3i323−3−3i323−3+3i3200000000000000000000000
χ386−3+3i3−3−3i3−3+3i3−3−3i36-33−3i323+3i320000000−3−3i323−3+3i32−3+3i32−3−3i32300000000000000000000000
χ396−3−3i3−3+3i3−3−3i3−3+3i366−3−3i3−3+3i30000-33+3i323−3i3200000000000000000000000000000
χ406−3−3i3−3+3i3−3−3i3−3+3i36-33+3i323−3i3200000003−3−3i32−3+3i323−3−3i32−3+3i3200000000000000000000000
χ416−3−3i3−3+3i3−3−3i3−3+3i36-33+3i323−3i320000000−3+3i323−3−3i32−3−3i32−3+3i32300000000000000000000000
χ426−3−3i3−3+3i3−3−3i3−3+3i36-33+3i323−3i320000000−3−3i32−3+3i323−3+3i323−3−3i3200000000000000000000000
χ43181818-9-9-9000000000000000000000000000000000000000
χ4418−9+9i3−9−9i39−9i329+9i32-9000000000000000000000000000000000000000
χ4518−9−9i3−9+9i39+9i329−9i32-9000000000000000000000000000000000000000

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