Finite Group Databasebeta

← Group #6329

Character table — Group #6329

Order 216.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36
size134426883912121344268839121213442688391212
order123336332266363336336666363336336666
χ1111111111111111111111111111111111111
χ211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32
χ311−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32
χ43-1003-1003-1003-1003-1003-1003-1003-1003-100
χ511111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ611−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i32
χ711−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i32
χ83-1003-100-31003-1003-100-31003-1003-100-3100
χ92222-1-1-1-100002222-1-1-1-100002222-1-1-1-10000
χ1022−1+i3−1−i3-1-11−i321+i32000022−1+i3−1−i3-1-11−i321+i32000022−1+i3−1−i3-1-11−i321+i320000
χ1122−1−i3−1+i3-1-11+i321−i32000022−1−i3−1+i3-1-11+i321−i32000022−1−i3−1+i3-1-11+i321−i320000
χ126-200-310000006-200-310000006-200-31000000
χ13111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ1411−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i321−1+i32−1+i32−1−i321−1+i32−1+i32−1−i321−1−i32−1−i321−1+i32−1−i32−1−i321−1+i32−1−i32−1−i321−1+i32
χ1511−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32−1+i32−1+i321−1−i32−1+i32−1+i321−1−i32−1+i32−1+i321−1−i32−1−i32−1−i32−1+i321−1−i32−1−i32−1+i321−1−i32−1−i32−1+i321
χ163-1003-1003-100−3+3i321−i3200−3+3i321−i3200−3+3i321−i3200−3−3i321+i3200−3−3i321+i3200−3−3i321+i3200
χ1711111111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ1811−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i32−1+i32−1+i32−1−i321−1+i32−1+i32−1−i3211−i321−i321+i32-1−1−i32−1−i321−1+i32−1−i32−1−i321−1+i321+i321+i32-11−i32
χ1911−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i32−1+i32−1+i321−1−i32−1+i32−1+i321−1−i321−i321−i32-11+i32−1−i32−1−i32−1+i321−1−i32−1−i32−1+i3211+i321+i321−i32-1
χ203-1003-100-3100−3+3i321−i3200−3+3i321−i32003−3i32−1+i3200−3−3i321+i3200−3−3i321+i32003+3i32−1−i3200
χ212222-1-1-1-10000−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i320000−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i320000
χ2222−1+i3−1−i3-1-11−i321+i320000−1+i3−1+i3−1−i321−i321−i321+i32-10000−1−i3−1−i32−1+i31+i321+i32-11−i320000
χ2322−1−i3−1+i3-1-11+i321−i320000−1+i3−1+i32−1−i31−i321−i32-11+i320000−1−i3−1−i3−1+i321+i321+i321−i32-10000
χ246-200-31000000−3+3i31−i3003−3i32−1+i32000000−3−3i31+i3003+3i32−1−i32000000
χ25111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ2611−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32−1−i32−1−i321−1+i32−1−i32−1−i321−1+i32−1−i32−1−i321−1+i32−1+i32−1+i32−1−i321−1+i32−1+i32−1−i321−1+i32−1+i32−1−i321
χ2711−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i321−1−i32−1−i32−1+i321−1−i32−1−i32−1+i321−1+i32−1+i321−1−i32−1+i32−1+i321−1−i32−1+i32−1+i321−1−i32
χ283-1003-1003-100−3−3i321+i3200−3−3i321+i3200−3−3i321+i3200−3+3i321−i3200−3+3i321−i3200−3+3i321−i3200
χ2911111111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ3011−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i32−1−i32−1−i321−1+i32−1−i32−1−i321−1+i321+i321+i32-11−i32−1+i32−1+i32−1−i321−1+i32−1+i32−1−i3211−i321−i321+i32-1
χ3111−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i32−1−i32−1−i32−1+i321−1−i32−1−i32−1+i3211+i321+i321−i32-1−1+i32−1+i321−1−i32−1+i32−1+i321−1−i321−i321−i32-11+i32
χ323-1003-100-3100−3−3i321+i3200−3−3i321+i32003+3i32−1−i3200−3+3i321−i3200−3+3i321−i32003−3i32−1+i3200
χ332222-1-1-1-10000−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i320000−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i320000
χ3422−1+i3−1−i3-1-11−i321+i320000−1−i3−1−i32−1+i31+i321+i32-11−i320000−1+i3−1+i3−1−i321−i321−i321+i32-10000
χ3522−1−i3−1+i3-1-11+i321−i320000−1−i3−1−i3−1+i321+i321+i321−i32-10000−1+i3−1+i32−1−i31−i321−i32-11+i320000
χ366-200-31000000−3−3i31+i3003+3i32−1−i32000000−3+3i31−i3003−3i32−1+i32000000

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