Finite Group Databasebeta

← Group #11919648

Character table — Group #11919648

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size111111333333121212121212121212121212121212121212242424242424646464646464646464646464
order1233662266664444441212121212121212121212124412121212333333666666
χ1111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ3111111111111111111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ411−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−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+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ511−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−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+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32
χ611−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−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+i3211−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321
χ711−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+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−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32
χ811−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+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−i3211−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321
χ911−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+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−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32
χ1033333333333333-1-1-1-133-1-1-1-133-1-1-1-1-1-1-1-1-1-1000000000000
χ11333333333333-1-133-1-1-1-133-1-1-1-133-1-1-1-1-1-1-1-1000000000000
χ12333333333333-1-1-1-133-1-1-1-133-1-1-1-133-1-1-1-1-1-1000000000000
χ13333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-13-13-13-1000000000000
χ14333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-13-13-13000000000000
χ1533−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i3233-1-1-1-1−3−3i32−3−3i321+i321+i321+i321+i32−3+3i32−3+3i321−i321−i321−i321−i32-1-11+i321+i321−i321−i32000000000000
χ1633−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32-1-133-1-11+i321+i32−3−3i32−3−3i321+i321+i321−i321−i32−3+3i32−3+3i321−i321−i32-1-11+i321+i321−i321−i32000000000000
χ1733−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-1331+i321+i321+i321+i32−3−3i32−3−3i321−i321−i321−i321−i32−3+3i32−3+3i32-1-11+i321+i321−i321−i32000000000000
χ1833−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i323-1−3−3i321+i32−3+3i321−i32000000000000
χ1933−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32-131+i32−3−3i321−i32−3+3i32000000000000
χ2033−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i3233-1-1-1-1−3+3i32−3+3i321−i321−i321−i321−i32−3−3i32−3−3i321+i321+i321+i321+i32-1-11−i321−i321+i321+i32000000000000
χ2133−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32-1-133-1-11−i321−i32−3+3i32−3+3i321−i321−i321+i321+i32−3−3i32−3−3i321+i321+i32-1-11−i321−i321+i321+i32000000000000
χ2233−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32-1-1-1-1331−i321−i321−i321−i32−3+3i32−3+3i321+i321+i321+i321+i32−3−3i32−3−3i32-1-11−i321−i321+i321+i32000000000000
χ2333−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i323-1−3+3i321−i32−3−3i321+i32000000000000
χ2433−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32-131−i32−3+3i321+i32−3−3i32000000000000
χ254-444-4-4-44-4-444000000000000000000000000111111-1-1-1-1-1-1
χ264-444-4-4-44-4-444000000000000000000000000−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i32
χ274-444-4-4-44-4-444000000000000000000000000−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321+i321+i321+i32
χ284-4−2−2i3−2+2i32+2i32−2i3-442+2i32−2i3−2−2i3−2+2i30000000000000000000000001−1−i32−1+i321−1−i32−1+i32-11+i321−i32-11+i321−i32
χ294-4−2−2i3−2+2i32+2i32−2i3-442+2i32−2i3−2−2i3−2+2i3000000000000000000000000−1−i32−1+i321−1+i321−1−i321+i321−i32-11−i32-11+i32
χ304-4−2−2i3−2+2i32+2i32−2i3-442+2i32−2i3−2−2i3−2+2i3000000000000000000000000−1+i321−1−i32−1−i32−1+i3211−i32-11+i321+i321−i32-1
χ314-4−2+2i3−2−2i32−2i32+2i3-442−2i32+2i3−2+2i3−2−2i30000000000000000000000001−1+i32−1−i321−1+i32−1−i32-11−i321+i32-11−i321+i32
χ324-4−2+2i3−2−2i32−2i32+2i3-442−2i32+2i3−2+2i3−2−2i3000000000000000000000000−1−i321−1+i32−1+i32−1−i3211+i32-11−i321−i321+i32-1
χ334-4−2+2i3−2−2i32−2i32+2i3-442−2i32+2i3−2+2i3−2−2i3000000000000000000000000−1+i32−1−i321−1−i321−1+i321−i321+i32-11+i32-11−i32
χ346-666-6-62-222-2-22-22i−2i2i−2i2-22i−2i2i−2i2-22i−2i2i−2i000000000000000000
χ356-666-6-62-222-2-22-2−2i2i−2i2i2-2−2i2i−2i2i2-2−2i2i−2i2i000000000000000000
χ366-666-6-62-222-2-2-222i−2i−2i2i-222i−2i−2i2i-222i−2i−2i2i000000000000000000
χ376-666-6-62-222-2-2-22−2i2i2i−2i-22−2i2i2i−2i-22−2i2i2i−2i000000000000000000
χ386-6−3−3i3−3+3i33+3i33−3i32-2−1−i3−1+i31+i31−i32-22i−2i2i−2i−1−i31+i32ζ11−2ζ112ζ11−2ζ11−1+i31−i32ζ7−2ζ72ζ7−2ζ7000000000000000000
χ396-6−3−3i3−3+3i33+3i33−3i32-2−1−i3−1+i31+i31−i32-2−2i2i−2i2i−1−i31+i3−2ζ112ζ11−2ζ112ζ11−1+i31−i3−2ζ72ζ7−2ζ72ζ7000000000000000000
χ406-6−3−3i3−3+3i33+3i33−3i32-2−1−i3−1+i31+i31−i3-222i−2i−2i2i1+i3−1−i32ζ11−2ζ11−2ζ112ζ111−i3−1+i32ζ7−2ζ7−2ζ72ζ7000000000000000000
χ416-6−3−3i3−3+3i33+3i33−3i32-2−1−i3−1+i31+i31−i3-22−2i2i2i−2i1+i3−1−i3−2ζ112ζ112ζ11−2ζ111−i3−1+i3−2ζ72ζ72ζ7−2ζ7000000000000000000
χ426-6−3+3i3−3−3i33−3i33+3i32-2−1+i3−1−i31−i31+i32-22i−2i2i−2i−1+i31−i32ζ7−2ζ72ζ7−2ζ7−1−i31+i32ζ11−2ζ112ζ11−2ζ11000000000000000000
χ436-6−3+3i3−3−3i33−3i33+3i32-2−1+i3−1−i31−i31+i32-2−2i2i−2i2i−1+i31−i3−2ζ72ζ7−2ζ72ζ7−1−i31+i3−2ζ112ζ11−2ζ112ζ11000000000000000000
χ446-6−3+3i3−3−3i33−3i33+3i32-2−1+i3−1−i31−i31+i3-222i−2i−2i2i1−i3−1+i32ζ7−2ζ7−2ζ72ζ71+i3−1−i32ζ11−2ζ11−2ζ112ζ11000000000000000000
χ456-6−3+3i3−3−3i33−3i33+3i32-2−1+i3−1−i31−i31+i3-22−2i2i2i−2i1−i3−1+i3−2ζ72ζ72ζ7−2ζ71+i3−1−i3−2ζ112ζ112ζ11−2ζ11000000000000000000
χ46121212121212-4-4-4-4-4-4000000000000000000000000000000000000
χ471212−6−6i3−6+6i3−6−6i3−6+6i3-4-42+2i32−2i32+2i32−2i3000000000000000000000000000000000000
χ481212−6+6i3−6−6i3−6+6i3−6−6i3-4-42−2i32+2i32−2i32+2i3000000000000000000000000000000000000

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