Finite Group Databasebeta

← Group #14519497

Character table — Group #14519497

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42
size12888888888888888888888888888888818181162162162243243243243
order13333333333333333333333333333333244612128888
χ1111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1
χ3111111111111111111111111111111111-1-11-1-1ii−i−i
χ4111111111111111111111111111111111-1-11-1-1−i−iii
χ511111111111111111111111111111111-1i−i-1i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13
χ611111111111111111111111111111111-1i−i-1i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13
χ711111111111111111111111111111111-1−ii-1−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23
χ811111111111111111111111111111111-1−ii-1−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23
χ92-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-10000
χ102-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-2-2-1110000
χ112-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-22i−2i1−ii0000
χ122-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2−2i2i1i−i0000
χ13882225-4-4-1-1-1-122222255-4-4-4-4-1-1-1-1-1-1-1-10000000000
χ148825-1-42-12-4-1-12255-1-1-4-422-1-122-4-4-1-1-1-10000000000
χ15882-15-4-12-42-1-122-1-155-4-4-1-122-4-422-1-1-1-10000000000
χ16885-4-4222-1-1-1-155-4-4-4-4222222-1-1-1-1-1-1-1-10000000000
χ1788-42-125-1-42-1-1-4-422-1-12255-1-1-4-422-1-1-1-10000000000
χ1888-4-122-152-4-1-1-4-4-1-12222-1-15522-4-4-1-1-1-10000000000
χ1988-12-4-1-4225-1-1-1-122-4-4-1-1-4-4222255-1-1-1-10000000000
χ2088-1-42-12-452-1-1-1-1-4-422-1-122-4-45522-1-1-1-10000000000
χ2188-1-1-1-1-1-1-1-18-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-188-1-10000000000
χ2288-1-1-1-1-1-1-1-1-18-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1880000000000
χ238-42225-4-4-1-1-1-1−1−3i3−1+3i3-1-1-1-1−5+3i32−5−3i3222221−3i321+3i321−3i321+3i321−3i321+3i321−3i321+3i320000000000
χ248-42225-4-4-1-1-1-1−1+3i3−1−3i3-1-1-1-1−5−3i32−5+3i3222221+3i321−3i321+3i321−3i321+3i321−3i321+3i321−3i320000000000
χ258-425-1-42-12-4-1-1-1-1−5+3i32−5−3i321−3i321+3i3222−1−3i3−1+3i31−3i321+3i32-1-1221−3i321+3i321+3i321−3i320000000000
χ268-425-1-42-12-4-1-1-1-1−5−3i32−5+3i321+3i321−3i3222−1+3i3−1−3i31+3i321−3i32-1-1221+3i321−3i321−3i321+3i320000000000
χ278-42-15-4-12-42-1-1-1-11−3i321+3i32−5+3i32−5−3i32221−3i321+3i32−1−3i3−1+3i322-1-11+3i321−3i321−3i321+3i320000000000
χ288-42-15-4-12-42-1-1-1-11+3i321−3i32−5−3i32−5+3i32221+3i321−3i32−1+3i3−1−3i322-1-11−3i321+3i321+3i321−3i320000000000
χ298-45-4-4222-1-1-1-1−5+3i32−5−3i322222−1−3i3−1+3i3-1-1-1-11−3i321+3i321−3i321+3i321−3i321+3i321−3i321+3i320000000000
χ308-45-4-4222-1-1-1-1−5−3i32−5+3i322222−1+3i3−1−3i3-1-1-1-11+3i321−3i321+3i321−3i321+3i321−3i321+3i321−3i320000000000
χ318-4-42-125-1-42-1-122−1−3i3−1+3i31−3i321+3i32-1-1−5+3i32−5−3i321−3i321+3i3222-1-11−3i321+3i321+3i321−3i320000000000
χ328-4-42-125-1-42-1-122−1+3i3−1−3i31+3i321−3i32-1-1−5−3i32−5+3i321+3i321−3i3222-1-11+3i321−3i321−3i321+3i320000000000
χ338-4-4-122-152-4-1-1221−3i321+3i32−1−3i3−1+3i3-1-11−3i321+3i32−5+3i32−5−3i32-1-1221+3i321−3i321−3i321+3i320000000000
χ348-4-4-122-152-4-1-1221+3i321−3i32−1+3i3−1−3i3-1-11+3i321−3i32−5−3i32−5+3i32-1-1221−3i321+3i321+3i321−3i320000000000
χ358-4-12-4-1-4225-1-11−3i321+3i32-1-1221−3i321+3i3222-1-1−1−3i3−1+3i3−5+3i32−5−3i321+3i321−3i321+3i321−3i320000000000
χ368-4-12-4-1-4225-1-11+3i321−3i32-1-1221+3i321−3i3222-1-1−1+3i3−1−3i3−5−3i32−5+3i321−3i321+3i321−3i321+3i320000000000
χ378-4-1-42-12-452-1-11−3i321+3i3222-1-11−3i321+3i32-1-122−5+3i32−5−3i32−1−3i3−1+3i31+3i321−3i321+3i321−3i320000000000
χ388-4-1-42-12-452-1-11+3i321−3i3222-1-11+3i321−3i32-1-122−5−3i32−5+3i32−1+3i3−1−3i31−3i321+3i321−3i321+3i320000000000
χ398-4-1-1-1-1-1-1-1-18-11−3i321+3i321+3i321−3i321−3i321+3i321−3i321+3i321+3i321−3i321−3i321+3i321+3i321−3i321+3i321−3i32-4-41−3i321+3i320000000000
χ408-4-1-1-1-1-1-1-1-18-11+3i321−3i321−3i321+3i321+3i321−3i321+3i321−3i321−3i321+3i321+3i321−3i321−3i321+3i321−3i321+3i32-4-41+3i321−3i320000000000
χ418-4-1-1-1-1-1-1-1-1-181−3i321+3i321−3i321+3i321+3i321−3i321−3i321+3i321−3i321+3i321+3i321−3i321+3i321−3i321+3i321−3i321−3i321+3i32-4-40000000000
χ428-4-1-1-1-1-1-1-1-1-181+3i321−3i321+3i321−3i321−3i321+3i321+3i321−3i321+3i321−3i321−3i321+3i321−3i321+3i321−3i321+3i321+3i321−3i32-4-40000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.