Finite Group Databasebeta

← Group #6977

Character table — Group #6977

Order 252.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42
size116677777777771166777777777711667777777777
order127143344661212121236214233121266121212123621423312126612121212
χ1111111111111111111111111111111111111111111
χ2111111-1-111-1-1-1-1111111-1-111-1-1-1-1111111-1-111-1-1-1-1
χ31111−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ41111−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i321111−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i321111−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i32
χ51111−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ61111−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i321111−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i321111−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i32
χ71-11-111i−i-1-1i−ii−i1-11-111i−i-1-1i−ii−i1-11-111i−i-1-1i−ii−i
χ81-11-111−ii-1-1−ii−ii1-11-111−ii-1-1−ii−ii1-11-111−ii-1-1−ii−ii
χ91-11-1−1−i32−1+i32i−i1+i321−i32ζ11−ζ11ζ7−ζ71-11-1−1−i32−1+i32i−i1+i321−i32ζ11−ζ11ζ7−ζ71-11-1−1−i32−1+i32i−i1+i321−i32ζ11−ζ11ζ7−ζ7
χ101-11-1−1−i32−1+i32−ii1+i321−i32−ζ11ζ11−ζ7ζ71-11-1−1−i32−1+i32−ii1+i321−i32−ζ11ζ11−ζ7ζ71-11-1−1−i32−1+i32−ii1+i321−i32−ζ11ζ11−ζ7ζ7
χ111-11-1−1+i32−1−i32i−i1−i321+i32ζ7−ζ7ζ11−ζ111-11-1−1+i32−1−i32i−i1−i321+i32ζ7−ζ7ζ11−ζ111-11-1−1+i32−1−i32i−i1−i321+i32ζ7−ζ7ζ11−ζ11
χ121-11-1−1+i32−1−i32−ii1−i321+i32−ζ7ζ7−ζ11ζ111-11-1−1+i32−1−i32−ii1−i321+i32−ζ7ζ7−ζ11ζ111-11-1−1+i32−1−i32−ii1−i321+i32−ζ7ζ7−ζ11ζ11
χ1366-1-1000000000066-1-1000000000066-1-10000000000
χ146-6-1100000000006-6-1100000000006-6-110000000000
χ1511111111111111−1+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−i32−1−i32−1−i32−1−i32−1−i32
χ16111111-1-111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32
χ171111−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i32−1+i321−1−i3211−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321−1−i32−1−i32−1+i321−1+i32−1+i3211
χ181111−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−1−i321−i321−i321−1−i32-1-11+i321+i32−1−i32−1−i32−1−i32−1−i32−1+i3211+i321+i32−1+i3211−i321−i32-1-1
χ191111−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i321−1+i32−1+i32−1−i321−1−i32−1−i3211−1−i32−1−i32−1−i32−1−i321−1+i32−1−i32−1−i321−1+i3211−1+i32−1+i32
χ201111−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i3211−i321−i32−1−i3211+i321+i32-1-1−1−i32−1−i32−1−i32−1−i321−1+i321+i321+i321−1+i32-1-11−i321−i32
χ211-11-111i−i-1-1i−ii−i−1+i321−i32−1+i321−i32−1+i32−1+i32ζ7−ζ71−i321−i32ζ7−ζ7ζ7−ζ7−1−i321+i32−1−i321+i32−1−i32−1−i32ζ11−ζ111+i321+i32ζ11−ζ11ζ11−ζ11
χ221-11-111−ii-1-1−ii−ii−1+i321−i32−1+i321−i32−1+i32−1+i32−ζ7ζ71−i321−i32−ζ7ζ7−ζ7ζ7−1−i321+i32−1−i321+i32−1−i32−1−i32−ζ11ζ111+i321+i32−ζ11ζ11−ζ11ζ11
χ231-11-1−1−i32−1+i32i−i1+i321−i32ζ11−ζ11ζ7−ζ7−1+i321−i32−1+i321−i321−1−i32ζ7−ζ7-11+i32i−iζ11−ζ11−1−i321+i32−1−i321+i32−1+i321ζ11−ζ111−i32-1ζ7−ζ7i−i
χ241-11-1−1−i32−1+i32−ii1+i321−i32−ζ11ζ11−ζ7ζ7−1+i321−i32−1+i321−i321−1−i32−ζ7ζ7-11+i32−ii−ζ11ζ11−1−i321+i32−1−i321+i32−1+i321−ζ11ζ111−i32-1−ζ7ζ7−ii
χ251-11-1−1+i32−1−i32i−i1−i321+i32ζ7−ζ7ζ11−ζ11−1+i321−i32−1+i321−i32−1−i321ζ7−ζ71+i32-1ζ11−ζ11i−i−1−i321+i32−1−i321+i321−1+i32ζ11−ζ11-11−i32i−iζ7−ζ7
χ261-11-1−1+i32−1−i32−ii1−i321+i32−ζ7ζ7−ζ11ζ11−1+i321−i32−1+i321−i32−1−i321−ζ7ζ71+i32-1−ζ11ζ11−ii−1−i321+i32−1−i321+i321−1+i32−ζ11ζ11-11−i32−ii−ζ7ζ7
χ2766-1-10000000000−3+3i3−3+3i31−i321−i320000000000−3−3i3−3−3i31+i321+i320000000000
χ286-6-110000000000−3+3i33−3i31−i32−1+i320000000000−3−3i33+3i31+i32−1−i320000000000
χ2911111111111111−1−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+i32−1+i32−1+i32−1+i32−1+i32
χ30111111-1-111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32
χ311111−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i321−1−i32−1−i32−1+i321−1+i32−1+i3211−1+i32−1+i32−1+i32−1+i321−1−i32−1+i32−1+i321−1−i3211−1−i32−1−i32
χ321111−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i3211+i321+i32−1+i3211−i321−i32-1-1−1+i32−1+i32−1+i32−1+i321−1−i321−i321−i321−1−i32-1-11+i321+i32
χ331111−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i32−1−i321−1+i3211−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321−1+i32−1+i32−1−i321−1−i32−1−i3211
χ341111−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i32−1−i32−1−i32−1−i32−1−i321−1+i321+i321+i321−1+i32-1-11−i321−i32−1+i32−1+i32−1+i32−1+i32−1−i3211−i321−i32−1−i3211+i321+i32-1-1
χ351-11-111i−i-1-1i−ii−i−1−i321+i32−1−i321+i32−1−i32−1−i32ζ11−ζ111+i321+i32ζ11−ζ11ζ11−ζ11−1+i321−i32−1+i321−i32−1+i32−1+i32ζ7−ζ71−i321−i32ζ7−ζ7ζ7−ζ7
χ361-11-111−ii-1-1−ii−ii−1−i321+i32−1−i321+i32−1−i32−1−i32−ζ11ζ111+i321+i32−ζ11ζ11−ζ11ζ11−1+i321−i32−1+i321−i32−1+i32−1+i32−ζ7ζ71−i321−i32−ζ7ζ7−ζ7ζ7
χ371-11-1−1−i32−1+i32i−i1+i321−i32ζ11−ζ11ζ7−ζ7−1−i321+i32−1−i321+i32−1+i321ζ11−ζ111−i32-1ζ7−ζ7i−i−1+i321−i32−1+i321−i321−1−i32ζ7−ζ7-11+i32i−iζ11−ζ11
χ381-11-1−1−i32−1+i32−ii1+i321−i32−ζ11ζ11−ζ7ζ7−1−i321+i32−1−i321+i32−1+i321−ζ11ζ111−i32-1−ζ7ζ7−ii−1+i321−i32−1+i321−i321−1−i32−ζ7ζ7-11+i32−ii−ζ11ζ11
χ391-11-1−1+i32−1−i32i−i1−i321+i32ζ7−ζ7ζ11−ζ11−1−i321+i32−1−i321+i321−1+i32ζ11−ζ11-11−i32i−iζ7−ζ7−1+i321−i32−1+i321−i32−1−i321ζ7−ζ71+i32-1ζ11−ζ11i−i
χ401-11-1−1+i32−1−i32−ii1−i321+i32−ζ7ζ7−ζ11ζ11−1−i321+i32−1−i321+i321−1+i32−ζ11ζ11-11−i32−ii−ζ7ζ7−1+i321−i32−1+i321−i32−1−i321−ζ7ζ71+i32-1−ζ11ζ11−ii
χ4166-1-10000000000−3−3i3−3−3i31+i321+i320000000000−3+3i3−3+3i31−i321−i320000000000
χ426-6-110000000000−3−3i33+3i31+i32−1−i320000000000−3+3i33−3i31−i32−1+i320000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.