Finite Group Databasebeta

← Group #13091200

Character table — Group #13091200

Order 1458.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1222233666669999991818181818181818181818181818181818545454545454818181818181818181
order13333333333333333333333333999999999999999266666666
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1
χ3111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ4111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-11−i321−i321−i321+i321+i321+i32
χ5111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ6111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-11+i321+i321+i321−i321−i321−i32
χ711111−1+i32−1−i32111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32
χ811111−1+i32−1−i32111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i32-11−i321+i32-11−i321+i32-11−i321+i32
χ911111−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i321−1−i321−1+i321−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32
χ1011111−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i321−1−i321−1+i32-11−i321+i321−i321+i32-11+i32-11−i32
χ1111111−1+i32−1−i32111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1+i32−1−i3211−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321
χ1211111−1+i32−1−i32111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1+i32−1−i321-11−i321+i321+i32-11−i321−i321+i32-1
χ1311111−1−i32−1+i32111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ1411111−1−i32−1+i32111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i32-11+i321−i32-11+i321−i32-11+i321−i32
χ1511111−1−i32−1+i32111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i3211−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321
χ1611111−1−i32−1+i32111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i321-11+i321−i321−i32-11+i321+i321−i32-1
χ1711111−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i321−1+i321−1−i321−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32
χ1811111−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i321−1+i321−1−i32-11+i321−i321+i321−i32-11−i32-11+i32
χ1922222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000
χ20222222222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-1-1-1-1-1-1-11−i321−i321−i321+i321+i321+i32000000000
χ21222222222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1-1-1-1-1-1-11+i321+i321+i321−i321−i321−i32000000000
χ2222222−1+i3−1−i3222−1+i3−1−i32−1+i3−1−i32−1+i3−1−i3−1+i3−1−i32−1+i3−1−i32−1+i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32-11−i321+i32-11−i321+i32000000000
χ2322222−1+i3−1−i3222−1+i3−1−i3−1+i3−1−i32−1−i32−1+i3−1+i3−1−i3−1+i3−1−i32−1−i32−1+i3-1-1-11−i321−i321−i321+i321+i321+i321−i321+i32-11+i32-11−i32000000000
χ2422222−1+i3−1−i3222−1+i3−1−i3−1−i32−1+i3−1+i3−1−i32−1+i3−1−i3−1−i32−1+i3−1+i3−1−i32-1-1-11−i321−i321−i321+i321+i321+i321+i32-11−i321−i321+i32-1000000000
χ2522222−1−i3−1+i3222−1−i3−1+i32−1−i3−1+i32−1−i3−1+i3−1−i3−1+i32−1−i3−1+i32−1−i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32-11+i321−i32-11+i321−i32000000000
χ2622222−1−i3−1+i3222−1−i3−1+i3−1+i32−1−i3−1−i3−1+i32−1−i3−1+i3−1+i32−1−i3−1−i3−1+i32-1-1-11+i321+i321+i321−i321−i321−i321−i32-11+i321+i321−i32-1000000000
χ2722222−1−i3−1+i3222−1−i3−1+i3−1−i3−1+i32−1+i32−1−i3−1−i3−1+i3−1−i3−1+i32−1+i32−1−i3-1-1-11+i321+i321+i321−i321−i321−i321+i321−i32-11−i32-11+i32000000000
χ286666666-3-3-366000000-3-3000000000000000000000000000000
χ2966666−3+3i3−3−3i3-3-3-3−3+3i3−3−3i30000003−3i323+3i32000000000000000000000000000000
χ3066666−3−3i3−3+3i3-3-3-3−3−3i3−3+3i30000003+3i323−3i32000000000000000000000000000000
χ3166-3-3-3006-3-3000060600000-30-30000000000000000000000000
χ3266-3-3-3006-3-30000−3+3i30−3−3i3000003−3i3203+3i320000000000000000000000000
χ3366-3-3-3006-3-30000−3−3i30−3+3i3000003+3i3203−3i320000000000000000000000000
χ3466-3-3-300-36-300060006000-3000-3000000000000000000000000
χ3566-3-3-300-36-3000−3+3i3000−3−3i30003−3i320003+3i32000000000000000000000000
χ3666-3-3-300-36-3000−3−3i3000−3+3i30003+3i320003−3i32000000000000000000000000
χ3766-3-3-300-3-360060060000-300-300000000000000000000000000
χ3866-3-3-300-3-3600−3+3i300−3−3i300003−3i32003+3i3200000000000000000000000000
χ3966-3-3-300-3-3600−3−3i300−3+3i300003+3i32003−3i3200000000000000000000000000
χ406-3-3-3666000-3-300000000000000ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5000000000000000
χ416-3-3-3666000-3-300000000000000ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5000000000000000
χ426-3-3-3666000-3-300000000000000−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5000000000000000
χ436-3-3-36−3+3i3−3−3i30003−3i323+3i3200000000000000ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5−2ζ−ζ2−ζ4−2ζ5ζ+2ζ2+2ζ4+ζ5ζ−ζ2−ζ4+ζ5ζ+2ζ2−ζ4+ζ5−2ζ−ζ2−ζ4+ζ5ζ−ζ2+2ζ4−2ζ5000000000000000
χ446-3-3-36−3+3i3−3−3i30003−3i323+3i3200000000000000ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ+2ζ2+2ζ4+ζ5ζ−ζ2−ζ4+ζ5−2ζ−ζ2−ζ4−2ζ5−2ζ−ζ2−ζ4+ζ5ζ−ζ2+2ζ4−2ζ5ζ+2ζ2−ζ4+ζ5000000000000000
χ456-3-3-36−3+3i3−3−3i30003−3i323+3i3200000000000000−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5ζ−ζ2−ζ4+ζ5−2ζ−ζ2−ζ4−2ζ5ζ+2ζ2+2ζ4+ζ5ζ−ζ2+2ζ4−2ζ5ζ+2ζ2−ζ4+ζ5−2ζ−ζ2−ζ4+ζ5000000000000000
χ466-3-3-36−3−3i3−3+3i30003+3i323−3i3200000000000000ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ+2ζ2−ζ4+ζ5−2ζ−ζ2−ζ4+ζ5ζ−ζ2+2ζ4−2ζ5−2ζ−ζ2−ζ4−2ζ5ζ+2ζ2+2ζ4+ζ5ζ−ζ2−ζ4+ζ5000000000000000
χ476-3-3-36−3−3i3−3+3i30003+3i323−3i3200000000000000ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5−2ζ−ζ2−ζ4+ζ5ζ−ζ2+2ζ4−2ζ5ζ+2ζ2−ζ4+ζ5ζ+2ζ2+2ζ4+ζ5ζ−ζ2−ζ4+ζ5−2ζ−ζ2−ζ4−2ζ5000000000000000
χ486-3-3-36−3−3i3−3+3i30003+3i323−3i3200000000000000−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5ζ−ζ2+2ζ4−2ζ5ζ+2ζ2−ζ4+ζ5−2ζ−ζ2−ζ4+ζ5ζ−ζ2−ζ4+ζ5−2ζ−ζ2−ζ4−2ζ5ζ+2ζ2+2ζ4+ζ5000000000000000
χ4918-918-9-9000000000000000000000000000000000000000000000
χ5018-9-918-9000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 9 (ζ9 = 1); i = ζ2.