Finite Group Databasebeta

← Group #11921244

Character table — Group #11921244

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111111112222222222222222222266666666333333336666666666666666666618181818181818184444444488888888888888888888242424242424242444444444888888888888888888882424242424242424
order12224444344446661212121212121212121212128888888822224444644446661212121212121212121212128888888836661212121231212121266612121212121212121212121224242424242424243666121212123121212126661212121212121212121212122424242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111-1-1-1-1111-1-1111-1-1-1-11111-1-1-1-1ii−i−iii−i−i1111-1-1-1-1111-1-1111-1-1-1-11111-1-1-1-1ii−i−iii−i−i1111-1-1-1-1111-1-1111-1-1-1-11111-1-1-1-1ii−i−iii−i−i1111-1-1-1-1111-1-1111-1-1-1-11111-1-1-1-1ii−i−iii−i−i
χ61111-1-1-1-1111-1-1111-1-1-1-11111-1-1-1-1−i−iii−i−iii1111-1-1-1-1111-1-1111-1-1-1-11111-1-1-1-1−i−iii−i−iii1111-1-1-1-1111-1-1111-1-1-1-11111-1-1-1-1−i−iii−i−iii1111-1-1-1-1111-1-1111-1-1-1-11111-1-1-1-1−i−iii−i−iii
χ71111-1-1-1-11-1-111111-1-1-1-1-1-1-1-11111ii−i−i−i−iii1111-1-1-1-11-1-111111-1-1-1-1-1-1-1-11111ii−i−i−i−iii1111-1-1-1-11-1-111111-1-1-1-1-1-1-1-11111ii−i−i−i−iii1111-1-1-1-11-1-111111-1-1-1-1-1-1-1-11111ii−i−i−i−iii
χ81111-1-1-1-11-1-111111-1-1-1-1-1-1-1-11111−i−iiiii−i−i1111-1-1-1-11-1-111111-1-1-1-1-1-1-1-11111−i−iiiii−i−i1111-1-1-1-11-1-111111-1-1-1-1-1-1-1-11111−i−iiiii−i−i1111-1-1-1-11-1-111111-1-1-1-1-1-1-1-11111−i−iiiii−i−i
χ911-1-111-1-11i−ii−i1-1-111-1-1ii−i−iii−i−i1-11-1i−ii−i11-1-111-1-11i−ii−i1-1-111-1-1ii−i−iii−i−i1-11-1i−ii−i11-1-111-1-11i−ii−i1-1-111-1-1ii−i−iii−i−i1-11-1i−ii−i11-1-111-1-11i−ii−i1-1-111-1-1ii−i−iii−i−i1-11-1i−ii−i
χ1011-1-111-1-11i−ii−i1-1-111-1-1ii−i−iii−i−i-11-11−ii−ii11-1-111-1-11i−ii−i1-1-111-1-1ii−i−iii−i−i-11-11−ii−ii11-1-111-1-11i−ii−i1-1-111-1-1ii−i−iii−i−i-11-11−ii−ii11-1-111-1-11i−ii−i1-1-111-1-1ii−i−iii−i−i-11-11−ii−ii
χ1111-1-111-1-11−ii−ii1-1-111-1-1−i−iii−i−iii1-11-1−ii−ii11-1-111-1-11−ii−ii1-1-111-1-1−i−iii−i−iii1-11-1−ii−ii11-1-111-1-11−ii−ii1-1-111-1-1−i−iii−i−iii1-11-1−ii−ii11-1-111-1-11−ii−ii1-1-111-1-1−i−iii−i−iii1-11-1−ii−ii
χ1211-1-111-1-11−ii−ii1-1-111-1-1−i−iii−i−iii-11-11i−ii−i11-1-111-1-11−ii−ii1-1-111-1-1−i−iii−i−iii-11-11i−ii−i11-1-111-1-11−ii−ii1-1-111-1-1−i−iii−i−iii-11-11i−ii−i11-1-111-1-11−ii−ii1-1-111-1-1−i−iii−i−iii-11-11i−ii−i
χ1311-1-1-1-1111i−i−ii1-1-1-1-111ii−i−i−i−iiii−i−ii-111-111-1-1-1-1111i−i−ii1-1-1-1-111ii−i−i−i−iiii−i−ii-111-111-1-1-1-1111i−i−ii1-1-1-1-111ii−i−i−i−iiii−i−ii-111-111-1-1-1-1111i−i−ii1-1-1-1-111ii−i−i−i−iiii−i−ii-111-1
χ1411-1-1-1-1111i−i−ii1-1-1-1-111ii−i−i−i−iii−iii−i1-1-1111-1-1-1-1111i−i−ii1-1-1-1-111ii−i−i−i−iii−iii−i1-1-1111-1-1-1-1111i−i−ii1-1-1-1-111ii−i−i−i−iii−iii−i1-1-1111-1-1-1-1111i−i−ii1-1-1-1-111ii−i−i−i−iii−iii−i1-1-11
χ1511-1-1-1-1111−iii−i1-1-1-1-111−i−iiiii−i−ii−i−ii1-1-1111-1-1-1-1111−iii−i1-1-1-1-111−i−iiiii−i−ii−i−ii1-1-1111-1-1-1-1111−iii−i1-1-1-1-111−i−iiiii−i−ii−i−ii1-1-1111-1-1-1-1111−iii−i1-1-1-1-111−i−iiiii−i−ii−i−ii1-1-11
χ1611-1-1-1-1111−iii−i1-1-1-1-111−i−iiiii−i−i−iii−i-111-111-1-1-1-1111−iii−i1-1-1-1-111−i−iiiii−i−i−iii−i-111-111-1-1-1-1111−iii−i1-1-1-1-111−i−iiiii−i−i−iii−i-111-111-1-1-1-1111−iii−i1-1-1-1-111−i−iiiii−i−i−iii−i-111-1
χ1722222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000022222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000022222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000022222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000
χ1822222222-1-2-2-2-2-1-1-1-1-1-1-1111111110000000022222222-1-2-2-2-2-1-1-1-1-1-1-1111111110000000022222222-1-2-2-2-2-1-1-1-1-1-1-1111111110000000022222222-1-2-2-2-2-1-1-1-1-1-1-11111111100000000
χ192222-2-2-2-2-122-2-2-1-1-11111-1-1-1-11111000000002222-2-2-2-2-122-2-2-1-1-11111-1-1-1-11111000000002222-2-2-2-2-122-2-2-1-1-11111-1-1-1-11111000000002222-2-2-2-2-122-2-2-1-1-11111-1-1-1-1111100000000
χ202222-2-2-2-2-1-2-222-1-1-111111111-1-1-1-1000000002222-2-2-2-2-1-2-222-1-1-111111111-1-1-1-1000000002222-2-2-2-2-1-2-222-1-1-111111111-1-1-1-1000000002222-2-2-2-2-1-2-222-1-1-111111111-1-1-1-100000000
χ2122-2-222-2-2-12i−2i2i−2i-111-1-111−i−iii−i−iii0000000022-2-222-2-2-12i−2i2i−2i-111-1-111−i−iii−i−iii0000000022-2-222-2-2-12i−2i2i−2i-111-1-111−i−iii−i−iii0000000022-2-222-2-2-12i−2i2i−2i-111-1-111−i−iii−i−iii00000000
χ2222-2-222-2-2-1−2i2i−2i2i-111-1-111ii−i−iii−i−i0000000022-2-222-2-2-1−2i2i−2i2i-111-1-111ii−i−iii−i−i0000000022-2-222-2-2-1−2i2i−2i2i-111-1-111ii−i−iii−i−i0000000022-2-222-2-2-1−2i2i−2i2i-111-1-111ii−i−iii−i−i00000000
χ2322-2-2-2-222-12i−2i−2i2i-11111-1-1−i−iiiii−i−i0000000022-2-2-2-222-12i−2i−2i2i-11111-1-1−i−iiiii−i−i0000000022-2-2-2-222-12i−2i−2i2i-11111-1-1−i−iiiii−i−i0000000022-2-2-2-222-12i−2i−2i2i-11111-1-1−i−iiiii−i−i00000000
χ2422-2-2-2-222-1−2i2i2i−2i-11111-1-1ii−i−i−i−iii0000000022-2-2-2-222-1−2i2i2i−2i-11111-1-1ii−i−i−i−iii0000000022-2-2-2-222-1−2i2i2i−2i-11111-1-1ii−i−i−i−iii0000000022-2-2-2-222-1−2i2i2i−2i-11111-1-1ii−i−i−i−iii00000000
χ252-22-22i−2i2i−2i20000-22-22i−2i2i−2i00000000000000002-22-22i−2i2i−2i20000-22-22i−2i2i−2i00000000000000002-22-22i−2i2i−2i20000-22-22i−2i2i−2i00000000000000002-22-22i−2i2i−2i20000-22-22i−2i2i−2i0000000000000000
χ262-22-22i−2i2i−2i-100001-11−ii−ii−i3i3−i3i33−33−3000000002-22-22i−2i2i−2i-100001-11−ii−ii−i3i3−i3i33−33−3000000002-22-22i−2i2i−2i-100001-11−ii−ii−i3i3−i3i33−33−3000000002-22-22i−2i2i−2i-100001-11−ii−ii−i3i3−i3i33−33−300000000
χ272-22-22i−2i2i−2i-100001-11−ii−iii3−i3i3−i3−33−33000000002-22-22i−2i2i−2i-100001-11−ii−iii3−i3i3−i3−33−33000000002-22-22i−2i2i−2i-100001-11−ii−iii3−i3i3−i3−33−33000000002-22-22i−2i2i−2i-100001-11−ii−iii3−i3i3−i3−33−3300000000
χ282-22-2−2i2i−2i2i20000-22-2−2i2i−2i2i00000000000000002-22-2−2i2i−2i2i20000-22-2−2i2i−2i2i00000000000000002-22-2−2i2i−2i2i20000-22-2−2i2i−2i2i00000000000000002-22-2−2i2i−2i2i20000-22-2−2i2i−2i2i0000000000000000
χ292-22-2−2i2i−2i2i-100001-11i−ii−i−i3i3−i3i3−33−33000000002-22-2−2i2i−2i2i-100001-11i−ii−i−i3i3−i3i3−33−33000000002-22-2−2i2i−2i2i-100001-11i−ii−i−i3i3−i3i3−33−33000000002-22-2−2i2i−2i2i-100001-11i−ii−i−i3i3−i3i3−33−3300000000
χ302-22-2−2i2i−2i2i-100001-11i−ii−ii3−i3i3−i33−33−3000000002-22-2−2i2i−2i2i-100001-11i−ii−ii3−i3i3−i33−33−3000000002-22-2−2i2i−2i2i-100001-11i−ii−ii3−i3i3−i33−33−3000000002-22-2−2i2i−2i2i-100001-11i−ii−ii3−i3i3−i33−33−300000000
χ312-2-222i−2i−2i2i20000-2-222i−2i−2i2i00000000000000002-2-222i−2i−2i2i20000-2-222i−2i−2i2i00000000000000002-2-222i−2i−2i2i20000-2-222i−2i−2i2i00000000000000002-2-222i−2i−2i2i20000-2-222i−2i−2i2i0000000000000000
χ322-2-222i−2i−2i2i-1000011-1−iii−i3−3−33i3−i3−i3i3000000002-2-222i−2i−2i2i-1000011-1−iii−i3−3−33i3−i3−i3i3000000002-2-222i−2i−2i2i-1000011-1−iii−i3−3−33i3−i3−i3i3000000002-2-222i−2i−2i2i-1000011-1−iii−i3−3−33i3−i3−i3i300000000
χ332-2-222i−2i−2i2i-1000011-1−iii−i−333−3−i3i3i3−i3000000002-2-222i−2i−2i2i-1000011-1−iii−i−333−3−i3i3i3−i3000000002-2-222i−2i−2i2i-1000011-1−iii−i−333−3−i3i3i3−i3000000002-2-222i−2i−2i2i-1000011-1−iii−i−333−3−i3i3i3−i300000000
χ342-2-22−2i2i2i−2i20000-2-22−2i2i2i−2i00000000000000002-2-22−2i2i2i−2i20000-2-22−2i2i2i−2i00000000000000002-2-22−2i2i2i−2i20000-2-22−2i2i2i−2i00000000000000002-2-22−2i2i2i−2i20000-2-22−2i2i2i−2i0000000000000000
χ352-2-22−2i2i2i−2i-1000011-1i−i−ii3−3−33−i3i3i3−i3000000002-2-22−2i2i2i−2i-1000011-1i−i−ii3−3−33−i3i3i3−i3000000002-2-22−2i2i2i−2i-1000011-1i−i−ii3−3−33−i3i3i3−i3000000002-2-22−2i2i2i−2i-1000011-1i−i−ii3−3−33−i3i3i3−i300000000
χ362-2-22−2i2i2i−2i-1000011-1i−i−ii−333−3i3−i3−i3i3000000002-2-22−2i2i2i−2i-1000011-1i−i−ii−333−3i3−i3−i3i3000000002-2-22−2i2i2i−2i-1000011-1i−i−ii−333−3i3−i3−i3i3000000002-2-22−2i2i2i−2i-1000011-1i−i−ii−333−3i3−i3−i3i300000000
χ37111111111111111111111111111111111111111111111111111111111111111111111111−1+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+i32−1+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−i32−1−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
χ381111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1−1+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+i321−i321−i321−i321−i321−i321−i321−i321−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−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32
χ39111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1−1+i32−1+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+i321−i321−i321−i321−i321−i321−i321−i321−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−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ40111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111−1+i32−1+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+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ411111-1-1-1-1111-1-1111-1-1-1-11111-1-1-1-1ii−i−iii−i−i1111-1-1-1-1111-1-1111-1-1-1-11111-1-1-1-1ii−i−iii−i−i−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11
χ421111-1-1-1-1111-1-1111-1-1-1-11111-1-1-1-1−i−iii−i−iii1111-1-1-1-1111-1-1111-1-1-1-11111-1-1-1-1−i−iii−i−iii−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.