Finite Group Databasebeta

← Group #13091197

Character table — Group #13091197

Order 1458.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42
size122223366999999181818181818181818545454545454545454818181818181818181
order133333333333333999999999999999999266666666
χ1111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1
χ3111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ4111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-11−i321−i321−i321+i321+i321+i32
χ5111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ6111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-11+i321+i321+i321−i321−i321−i32
χ7222222222222222222222222-1-1-1-1-1-1-1-1-1000000000
χ8222222222222222-1-1-1-1-1-1-1-1-12-1-12-1-12-1-1000000000
χ9222222222222222-1-1-1-1-1-1-1-1-1-12-1-12-1-12-1000000000
χ10222222222222222-1-1-1-1-1-1-1-1-1-1-12-1-12-1-12000000000
χ11222222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32000000000
χ12222222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i322-1-1−1+i31−i321−i32−1−i31+i321+i32000000000
χ13222222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32-12-11−i32−1+i31−i321+i32−1−i31+i32000000000
χ14222222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32-1-121−i321−i32−1+i31+i321+i32−1−i3000000000
χ15222222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32000000000
χ16222222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i322-1-1−1−i31+i321+i32−1+i31−i321−i32000000000
χ17222222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32-12-11+i32−1−i31+i321−i32−1+i31−i32000000000
χ18222222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32-1-121+i321+i32−1−i31−i321−i32−1+i3000000000
χ1933333−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i320000000000000000001−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32
χ2033333−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32000000000000000000-11−i321+i32-11−i321+i32-11−i321+i32
χ2133333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i320000000000000000001−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32
χ2233333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i32000000000000000000-11−i321+i321−i321+i32-11+i32-11−i32
χ2333333−3+3i32−3−3i32−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i3230000000000000000001−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321
χ2433333−3+3i32−3−3i32−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i323000000000000000000-11−i321+i321+i32-11−i321−i321+i32-1
χ2533333−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i320000000000000000001−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ2633333−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32000000000000000000-11+i321−i32-11+i321−i32-11+i321−i32
χ2733333−3−3i32−3+3i32−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i3230000000000000000001−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321
χ2833333−3−3i32−3+3i32−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i323000000000000000000-11+i321−i321−i32-11+i321+i321−i32-1
χ2933333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i320000000000000000001−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32
χ3033333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i32000000000000000000-11+i321−i321+i321−i32-11−i32-11+i32
χ316-3-36-366-3-30000006-3-3000000000000000000000000
χ326-3-36-366-3-3000000-36-3000000000000000000000000
χ336-3-36-366-3-3000000-3-36000000000000000000000000
χ346-3-36-3−3+3i3−3−3i33−3i323+3i320000000003−3+3i32−3−3i323−3+3i32−3−3i32000000000000000000
χ356-3-36-3−3+3i3−3−3i33−3i323+3i32000000000−3+3i32−3−3i323−3−3i323−3+3i32000000000000000000
χ366-3-36-3−3+3i3−3−3i33−3i323+3i32000000000−3−3i323−3+3i32−3+3i32−3−3i323000000000000000000
χ376-3-36-3−3−3i3−3+3i33+3i323−3i320000000003−3−3i32−3+3i323−3−3i32−3+3i32000000000000000000
χ386-3-36-3−3−3i3−3+3i33+3i323−3i32000000000−3+3i323−3−3i32−3−3i32−3+3i323000000000000000000
χ396-3-36-3−3−3i3−3+3i33+3i323−3i32000000000−3−3i32−3+3i323−3+3i323−3−3i32000000000000000000
χ401818-9-9-90000000000000000000000000000000000000
χ4118-918-9-90000000000000000000000000000000000000
χ4218-9-9-9180000000000000000000000000000000000000

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