Finite Group Databasebeta

← Group #13090770

Character table — Group #13090770

Order 1458.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size12222333366669999181818181818181818181818181818181818545454545454818181818181818181
order13333333333333333999999999999999999999999266666666
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1
χ311111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i32
χ411111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i32-11−i321−i321+i321+i32-1-11−i321+i32
χ511111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32
χ611111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i32-11+i321+i321−i321−i32-1-11+i321−i32
χ722222222222222222222-1-1-1222-1-1-1222-1-1-1-1-1-1-1-1-1000000000
χ822222222222222222-1-1-1222-1-1-1222-1-1-1222-1-1-1-1-1-1000000000
χ922222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1000000000
χ1022222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222000000000
χ1122222−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i322−1+i3−1−i3222-1-1-1−1+i3−1+i3−1+i31−i321−i321−i32−1−i3−1−i3−1−i31+i321+i321+i32-11−i321+i32-11−i321+i32000000000
χ1222222−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i322−1+i3−1−i3-1-1-12221−i321−i321−i32−1+i3−1+i3−1+i31+i321+i321+i32−1−i3−1−i3−1−i3-11−i321+i32-11−i321+i32000000000
χ1322222−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i322−1+i3−1−i3-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i322−1+i3−1−i3-11−i321+i32000000000
χ1422222−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i322−1+i3−1−i3-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32-11−i321+i322−1+i3−1−i3000000000
χ1522222−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i322−1−i3−1+i3222-1-1-1−1−i3−1−i3−1−i31+i321+i321+i32−1+i3−1+i3−1+i31−i321−i321−i32-11+i321−i32-11+i321−i32000000000
χ1622222−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i322−1−i3−1+i3-1-1-12221+i321+i321+i32−1−i3−1−i3−1−i31−i321−i321−i32−1+i3−1+i3−1+i3-11+i321−i32-11+i321−i32000000000
χ1722222−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i322−1−i3−1+i3-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i322−1−i3−1+i3-11+i321−i32000000000
χ1822222−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i322−1−i3−1+i3-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32-11+i321−i322−1−i3−1+i3000000000
χ19333333−3+3i323−3−3i323−3+3i323−3−3i32−3+3i32−3−3i32−3−3i32−3+3i3200000000000000000000000011−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32
χ20333333−3+3i323−3−3i323−3+3i323−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32000000000000000000000000-1-11−i32-11+i321−i321+i321+i321−i32
χ21333333−3−3i323−3+3i323−3−3i323−3+3i32−3−3i32−3+3i32−3+3i32−3−3i3200000000000000000000000011−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32
χ22333333−3−3i323−3+3i323−3−3i323−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32000000000000000000000000-1-11+i32-11−i321+i321−i321−i321+i32
χ2333333−3+3i323−3−3i323−3+3i323−3−3i323−3−3i32−3+3i32−3−3i32−3+3i320000000000000000000000001−1+i321−1−i321−1−i32−1+i32−1−i32−1+i32
χ2433333−3+3i323−3−3i323−3+3i323−3−3i323−3−3i32−3+3i32−3−3i32−3+3i32000000000000000000000000-11−i32-11+i32-11+i321−i321+i321−i32
χ2533333−3+3i32−3−3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i32−3−3i32330000000000000000000000001−1+i32−1−i32−1−i32−1+i32−1+i32−1−i3211
χ2633333−3+3i32−3−3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i32−3−3i3233000000000000000000000000-11−i321+i321+i321−i321−i321+i32-1-1
χ2733333−3−3i323−3+3i323−3−3i323−3+3i323−3+3i32−3−3i32−3+3i32−3−3i320000000000000000000000001−1−i321−1+i321−1+i32−1−i32−1+i32−1−i32
χ2833333−3−3i323−3+3i323−3−3i323−3+3i323−3+3i32−3−3i32−3+3i32−3−3i32000000000000000000000000-11+i32-11−i32-11−i321+i321−i321+i32
χ2933333−3−3i32−3+3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i32−3+3i32330000000000000000000000001−1−i32−1+i32−1+i32−1−i32−1−i32−1+i3211
χ3033333−3−3i32−3+3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i32−3+3i3233000000000000000000000000-11+i321−i321−i321+i321+i321−i32-1-1
χ3166-3-3-306060-30-30000000ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5000ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5000ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5000000000000000
χ3266-3-3-306060-30-30000000ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5000ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5000ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5000000000000000
χ3366-3-3-306060-30-30000000−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5000−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5000−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5000000000000000
χ3466-3-3-30−3+3i30−3−3i303−3i3203+3i320000000ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5000−2ζ−ζ2−ζ4−2ζ5ζ+2ζ2+2ζ4+ζ5ζ−ζ2−ζ4+ζ5000ζ+2ζ2−ζ4+ζ5−2ζ−ζ2−ζ4+ζ5ζ−ζ2+2ζ4−2ζ5000000000000000
χ3566-3-3-30−3+3i30−3−3i303−3i3203+3i320000000ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5000ζ+2ζ2+2ζ4+ζ5ζ−ζ2−ζ4+ζ5−2ζ−ζ2−ζ4−2ζ5000−2ζ−ζ2−ζ4+ζ5ζ−ζ2+2ζ4−2ζ5ζ+2ζ2−ζ4+ζ5000000000000000
χ3666-3-3-30−3+3i30−3−3i303−3i3203+3i320000000−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5000ζ−ζ2−ζ4+ζ5−2ζ−ζ2−ζ4−2ζ5ζ+2ζ2+2ζ4+ζ5000ζ−ζ2+2ζ4−2ζ5ζ+2ζ2−ζ4+ζ5−2ζ−ζ2−ζ4+ζ5000000000000000
χ3766-3-3-30−3−3i30−3+3i303+3i3203−3i320000000ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5000ζ+2ζ2−ζ4+ζ5−2ζ−ζ2−ζ4+ζ5ζ−ζ2+2ζ4−2ζ5000−2ζ−ζ2−ζ4−2ζ5ζ+2ζ2+2ζ4+ζ5ζ−ζ2−ζ4+ζ5000000000000000
χ3866-3-3-30−3−3i30−3+3i303+3i3203−3i320000000ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5000−2ζ−ζ2−ζ4+ζ5ζ−ζ2+2ζ4−2ζ5ζ+2ζ2−ζ4+ζ5000ζ+2ζ2+2ζ4+ζ5ζ−ζ2−ζ4+ζ5−2ζ−ζ2−ζ4−2ζ5000000000000000
χ3966-3-3-30−3−3i30−3+3i303+3i3203−3i320000000−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5000ζ−ζ2+2ζ4−2ζ5ζ+2ζ2−ζ4+ζ5−2ζ−ζ2−ζ4+ζ5000ζ−ζ2−ζ4+ζ5−2ζ−ζ2−ζ4−2ζ5ζ+2ζ2+2ζ4+ζ5000000000000000
χ406-3-36-36060-30-3000002ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ50002ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ50002ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ5000000000000000000
χ416-3-36-36060-30-300000−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5000−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5000−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5000000000000000000
χ426-3-36-36060-30-300000−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5000−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5000−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5000000000000000000
χ436-3-36-3−3+3i30−3−3i303−3i3203+3i32000002ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ5000−ζ+ζ2+ζ4−ζ5−ζ−2ζ2−2ζ4−ζ52ζ+ζ2+ζ4+2ζ5000−ζ+ζ2−2ζ4+2ζ52ζ+ζ2+ζ4−ζ5−ζ−2ζ2+ζ4−ζ5000000000000000000
χ446-3-36-3−3+3i30−3−3i303−3i3203+3i3200000−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5000−ζ−2ζ2−2ζ4−ζ52ζ+ζ2+ζ4+2ζ5−ζ+ζ2+ζ4−ζ50002ζ+ζ2+ζ4−ζ5−ζ−2ζ2+ζ4−ζ5−ζ+ζ2−2ζ4+2ζ5000000000000000000
χ456-3-36-3−3+3i30−3−3i303−3i3203+3i3200000−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ50002ζ+ζ2+ζ4+2ζ5−ζ+ζ2+ζ4−ζ5−ζ−2ζ2−2ζ4−ζ5000−ζ−2ζ2+ζ4−ζ5−ζ+ζ2−2ζ4+2ζ52ζ+ζ2+ζ4−ζ5000000000000000000
χ466-3-36-3−3−3i30−3+3i303+3i3203−3i32000002ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ5000−ζ+ζ2−2ζ4+2ζ52ζ+ζ2+ζ4−ζ5−ζ−2ζ2+ζ4−ζ5000−ζ+ζ2+ζ4−ζ5−ζ−2ζ2−2ζ4−ζ52ζ+ζ2+ζ4+2ζ5000000000000000000
χ476-3-36-3−3−3i30−3+3i303+3i3203−3i3200000−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ50002ζ+ζ2+ζ4−ζ5−ζ−2ζ2+ζ4−ζ5−ζ+ζ2−2ζ4+2ζ5000−ζ−2ζ2−2ζ4−ζ52ζ+ζ2+ζ4+2ζ5−ζ+ζ2+ζ4−ζ5000000000000000000
χ486-3-36-3−3−3i30−3+3i303+3i3203−3i3200000−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5000−ζ−2ζ2+ζ4−ζ5−ζ+ζ2−2ζ4+2ζ52ζ+ζ2+ζ4−ζ50002ζ+ζ2+ζ4+2ζ5−ζ+ζ2+ζ4−ζ5−ζ−2ζ2−2ζ4−ζ5000000000000000000
χ4918-918-9-9000000000000000000000000000000000000000000000
χ5018-9-9-918000000000000000000000000000000000000000000000

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