Finite Group Databasebeta

← Group #11744679

Character table — Group #11744679

Order 900.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42
size112122525252525252525252525112122525252525252525252525112122525252525252525252525
order15523344661212121231515633121266121212123151563312126612121212
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
χ7111-111i−i-1-1i−ii−i111-111i−i-1-1i−ii−i111-111i−i-1-1i−ii−i
χ8111-111−ii-1-1−ii−ii111-111−ii-1-1−ii−ii111-111−ii-1-1−ii−ii
χ9111-1−1−i32−1+i32i−i1+i321−i32ζ11−ζ11ζ7−ζ7111-1−1−i32−1+i32i−i1+i321−i32ζ11−ζ11ζ7−ζ7111-1−1−i32−1+i32i−i1+i321−i32ζ11−ζ11ζ7−ζ7
χ10111-1−1−i32−1+i32−ii1+i321−i32−ζ11ζ11−ζ7ζ7111-1−1−i32−1+i32−ii1+i321−i32−ζ11ζ11−ζ7ζ7111-1−1−i32−1+i32−ii1+i321−i32−ζ11ζ11−ζ7ζ7
χ11111-1−1+i32−1−i32i−i1−i321+i32ζ7−ζ7ζ11−ζ11111-1−1+i32−1−i32i−i1−i321+i32ζ7−ζ7ζ11−ζ11111-1−1+i32−1−i32i−i1−i321+i32ζ7−ζ7ζ11−ζ11
χ12111-1−1+i32−1−i32−ii1−i321+i32−ζ7ζ7−ζ11ζ11111-1−1+i32−1−i32−ii1−i321+i32−ζ7ζ7−ζ11ζ11111-1−1+i32−1−i32−ii1−i321+i32−ζ7ζ7−ζ11ζ11
χ13122-300000000000122-300000000000122-300000000000
χ1412-320000000000012-320000000000012-3200000000000
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
χ21111-111i−i-1-1i−ii−i−1+i32−1+i32−1+i321−i32−1+i32−1+i32ζ7−ζ71−i321−i32ζ7−ζ7ζ7−ζ7−1−i32−1−i32−1−i321+i32−1−i32−1−i32ζ11−ζ111+i321+i32ζ11−ζ11ζ11−ζ11
χ22111-111−ii-1-1−ii−ii−1+i32−1+i32−1+i321−i32−1+i32−1+i32−ζ7ζ71−i321−i32−ζ7ζ7−ζ7ζ7−1−i32−1−i32−1−i321+i32−1−i32−1−i32−ζ11ζ111+i321+i32−ζ11ζ11−ζ11ζ11
χ23111-1−1−i32−1+i32i−i1+i321−i32ζ11−ζ11ζ7−ζ7−1+i32−1+i32−1+i321−i321−1−i32ζ7−ζ7-11+i32i−iζ11−ζ11−1−i32−1−i32−1−i321+i32−1+i321ζ11−ζ111−i32-1ζ7−ζ7i−i
χ24111-1−1−i32−1+i32−ii1+i321−i32−ζ11ζ11−ζ7ζ7−1+i32−1+i32−1+i321−i321−1−i32−ζ7ζ7-11+i32−ii−ζ11ζ11−1−i32−1−i32−1−i321+i32−1+i321−ζ11ζ111−i32-1−ζ7ζ7−ii
χ25111-1−1+i32−1−i32i−i1−i321+i32ζ7−ζ7ζ11−ζ11−1+i32−1+i32−1+i321−i32−1−i321ζ7−ζ71+i32-1ζ11−ζ11i−i−1−i32−1−i32−1−i321+i321−1+i32ζ11−ζ11-11−i32i−iζ7−ζ7
χ26111-1−1+i32−1−i32−ii1−i321+i32−ζ7ζ7−ζ11ζ11−1+i32−1+i32−1+i321−i32−1−i321−ζ7ζ71+i32-1−ζ11ζ11−ii−1−i32−1−i32−1−i321+i321−1+i32−ζ11ζ11-11−i32−ii−ζ7ζ7
χ27122-300000000000−6+6i3−1+i33−3i3200000000000−6−6i3−1−i33+3i3200000000000
χ2812-3200000000000−6+6i33−3i32−1+i300000000000−6−6i33+3i32−1−i300000000000
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
χ35111-111i−i-1-1i−ii−i−1−i32−1−i32−1−i321+i32−1−i32−1−i32ζ11−ζ111+i321+i32ζ11−ζ11ζ11−ζ11−1+i32−1+i32−1+i321−i32−1+i32−1+i32ζ7−ζ71−i321−i32ζ7−ζ7ζ7−ζ7
χ36111-111−ii-1-1−ii−ii−1−i32−1−i32−1−i321+i32−1−i32−1−i32−ζ11ζ111+i321+i32−ζ11ζ11−ζ11ζ11−1+i32−1+i32−1+i321−i32−1+i32−1+i32−ζ7ζ71−i321−i32−ζ7ζ7−ζ7ζ7
χ37111-1−1−i32−1+i32i−i1+i321−i32ζ11−ζ11ζ7−ζ7−1−i32−1−i32−1−i321+i32−1+i321ζ11−ζ111−i32-1ζ7−ζ7i−i−1+i32−1+i32−1+i321−i321−1−i32ζ7−ζ7-11+i32i−iζ11−ζ11
χ38111-1−1−i32−1+i32−ii1+i321−i32−ζ11ζ11−ζ7ζ7−1−i32−1−i32−1−i321+i32−1+i321−ζ11ζ111−i32-1−ζ7ζ7−ii−1+i32−1+i32−1+i321−i321−1−i32−ζ7ζ7-11+i32−ii−ζ11ζ11
χ39111-1−1+i32−1−i32i−i1−i321+i32ζ7−ζ7ζ11−ζ11−1−i32−1−i32−1−i321+i321−1+i32ζ11−ζ11-11−i32i−iζ7−ζ7−1+i32−1+i32−1+i321−i32−1−i321ζ7−ζ71+i32-1ζ11−ζ11i−i
χ40111-1−1+i32−1−i32−ii1−i321+i32−ζ7ζ7−ζ11ζ11−1−i32−1−i32−1−i321+i321−1+i32−ζ11ζ11-11−i32−ii−ζ7ζ7−1+i32−1+i32−1+i321−i32−1−i321−ζ7ζ71+i32-1−ζ11ζ11−ii
χ41122-300000000000−6−6i3−1−i33+3i3200000000000−6+6i3−1+i33−3i3200000000000
χ4212-3200000000000−6−6i33+3i32−1−i300000000000−6+6i33−3i32−1+i300000000000

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