Finite Group Databasebeta

← Group #13049226

Character table — Group #13049226

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111333444444222666888888333999121212121212222666888888444121212161616161616666181818242424242424333999121212121212666181818242424242424999272727363636363636
order133266999999333666999999266266181818181818333666999999333666999999666666181818181818266266181818181818666666181818181818266266181818181818
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ3111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ41−1+i32−1−i321−1+i32−1−i32ζζ4ζ7ζ2ζ5ζ81−1+i32−1−i321−1+i32−1−i32ζζ4ζ7ζ2ζ5ζ81−1+i32−1−i321−1+i32−1−i32ζζ4ζ7ζ2ζ5ζ81−1+i32−1−i321−1+i32−1−i32ζζ4ζ7ζ2ζ5ζ81−1+i32−1−i321−1+i32−1−i32ζζ4ζ7ζ2ζ5ζ81−1+i32−1−i321−1+i32−1−i32ζζ4ζ7ζ2ζ5ζ81−1+i32−1−i321−1+i32−1−i32ζζ4ζ7ζ2ζ5ζ81−1+i32−1−i321−1+i32−1−i32ζζ4ζ7ζ2ζ5ζ81−1+i32−1−i321−1+i32−1−i32ζζ4ζ7ζ2ζ5ζ8
χ51−1+i32−1−i321−1+i32−1−i32ζ4ζ7ζζ8ζ2ζ51−1+i32−1−i321−1+i32−1−i32ζ4ζ7ζζ8ζ2ζ51−1+i32−1−i321−1+i32−1−i32ζ4ζ7ζζ8ζ2ζ51−1+i32−1−i321−1+i32−1−i32ζ4ζ7ζζ8ζ2ζ51−1+i32−1−i321−1+i32−1−i32ζ4ζ7ζζ8ζ2ζ51−1+i32−1−i321−1+i32−1−i32ζ4ζ7ζζ8ζ2ζ51−1+i32−1−i321−1+i32−1−i32ζ4ζ7ζζ8ζ2ζ51−1+i32−1−i321−1+i32−1−i32ζ4ζ7ζζ8ζ2ζ51−1+i32−1−i321−1+i32−1−i32ζ4ζ7ζζ8ζ2ζ5
χ61−1+i32−1−i321−1+i32−1−i32ζ7ζζ4ζ5ζ8ζ21−1+i32−1−i321−1+i32−1−i32ζ7ζζ4ζ5ζ8ζ21−1+i32−1−i321−1+i32−1−i32ζ7ζζ4ζ5ζ8ζ21−1+i32−1−i321−1+i32−1−i32ζ7ζζ4ζ5ζ8ζ21−1+i32−1−i321−1+i32−1−i32ζ7ζζ4ζ5ζ8ζ21−1+i32−1−i321−1+i32−1−i32ζ7ζζ4ζ5ζ8ζ21−1+i32−1−i321−1+i32−1−i32ζ7ζζ4ζ5ζ8ζ21−1+i32−1−i321−1+i32−1−i32ζ7ζζ4ζ5ζ8ζ21−1+i32−1−i321−1+i32−1−i32ζ7ζζ4ζ5ζ8ζ2
χ71−1−i32−1+i321−1−i32−1+i32ζ2ζ8ζ5ζ4ζζ71−1−i32−1+i321−1−i32−1+i32ζ2ζ8ζ5ζ4ζζ71−1−i32−1+i321−1−i32−1+i32ζ2ζ8ζ5ζ4ζζ71−1−i32−1+i321−1−i32−1+i32ζ2ζ8ζ5ζ4ζζ71−1−i32−1+i321−1−i32−1+i32ζ2ζ8ζ5ζ4ζζ71−1−i32−1+i321−1−i32−1+i32ζ2ζ8ζ5ζ4ζζ71−1−i32−1+i321−1−i32−1+i32ζ2ζ8ζ5ζ4ζζ71−1−i32−1+i321−1−i32−1+i32ζ2ζ8ζ5ζ4ζζ71−1−i32−1+i321−1−i32−1+i32ζ2ζ8ζ5ζ4ζζ7
χ81−1−i32−1+i321−1−i32−1+i32ζ5ζ2ζ8ζζ7ζ41−1−i32−1+i321−1−i32−1+i32ζ5ζ2ζ8ζζ7ζ41−1−i32−1+i321−1−i32−1+i32ζ5ζ2ζ8ζζ7ζ41−1−i32−1+i321−1−i32−1+i32ζ5ζ2ζ8ζζ7ζ41−1−i32−1+i321−1−i32−1+i32ζ5ζ2ζ8ζζ7ζ41−1−i32−1+i321−1−i32−1+i32ζ5ζ2ζ8ζζ7ζ41−1−i32−1+i321−1−i32−1+i32ζ5ζ2ζ8ζζ7ζ41−1−i32−1+i321−1−i32−1+i32ζ5ζ2ζ8ζζ7ζ41−1−i32−1+i321−1−i32−1+i32ζ5ζ2ζ8ζζ7ζ4
χ91−1−i32−1+i321−1−i32−1+i32ζ8ζ5ζ2ζ7ζ4ζ1−1−i32−1+i321−1−i32−1+i32ζ8ζ5ζ2ζ7ζ4ζ1−1−i32−1+i321−1−i32−1+i32ζ8ζ5ζ2ζ7ζ4ζ1−1−i32−1+i321−1−i32−1+i32ζ8ζ5ζ2ζ7ζ4ζ1−1−i32−1+i321−1−i32−1+i32ζ8ζ5ζ2ζ7ζ4ζ1−1−i32−1+i321−1−i32−1+i32ζ8ζ5ζ2ζ7ζ4ζ1−1−i32−1+i321−1−i32−1+i32ζ8ζ5ζ2ζ7ζ4ζ1−1−i32−1+i321−1−i32−1+i32ζ8ζ5ζ2ζ7ζ4ζ1−1−i32−1+i321−1−i32−1+i32ζ8ζ5ζ2ζ7ζ4ζ
χ10333-1-1-1000000333-1-1-1000000333-1-1-1000000333-1-1-1000000333-1-1-1000000333-1-1-1000000333-1-1-1000000333-1-1-1000000333-1-1-1000000
χ113−3+3i32−3−3i32-11−i321+i320000003−3+3i32−3−3i32-11−i321+i320000003−3+3i32−3−3i32-11−i321+i320000003−3+3i32−3−3i32-11−i321+i320000003−3+3i32−3−3i32-11−i321+i320000003−3+3i32−3−3i32-11−i321+i320000003−3+3i32−3−3i32-11−i321+i320000003−3+3i32−3−3i32-11−i321+i320000003−3+3i32−3−3i32-11−i321+i32000000
χ123−3−3i32−3+3i32-11+i321−i320000003−3−3i32−3+3i32-11+i321−i320000003−3−3i32−3+3i32-11+i321−i320000003−3−3i32−3+3i32-11+i321−i320000003−3−3i32−3+3i32-11+i321−i320000003−3−3i32−3+3i32-11+i321−i320000003−3−3i32−3+3i32-11+i321−i320000003−3−3i32−3+3i32-11+i321−i320000003−3−3i32−3+3i32-11+i321−i32000000
χ13111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ14111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1-1-11−i321−i321−i321+i321+i321+i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1-1-11−i321−i321−i321+i321+i321+i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1-1-11−i321−i321−i321+i321+i321+i32
χ15111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1-1-11+i321+i321+i321−i321−i321−i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1-1-11+i321+i321+i321−i321−i321−i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1-1-11+i321+i321+i321−i321−i321−i32
χ161−1+i32−1−i321−1+i32−1−i32ζζ4ζ7ζ2ζ5ζ81−1+i32−1−i321−1+i32−1−i32ζζ4ζ7ζ2ζ5ζ8-11−i321+i32-11−i321+i32−ζ−ζ4−ζ7−ζ2−ζ5−ζ81−1+i32−1−i321−1+i32−1−i32ζζ4ζ7ζ2ζ5ζ81−1+i32−1−i321−1+i32−1−i32ζζ4ζ7ζ2ζ5ζ8-11−i321+i32-11−i321+i32−ζ−ζ4−ζ7−ζ2−ζ5−ζ81−1+i32−1−i321−1+i32−1−i32ζζ4ζ7ζ2ζ5ζ81−1+i32−1−i321−1+i32−1−i32ζζ4ζ7ζ2ζ5ζ8-11−i321+i32-11−i321+i32−ζ−ζ4−ζ7−ζ2−ζ5−ζ8
χ171−1+i32−1−i321−1+i32−1−i32ζ4ζ7ζζ8ζ2ζ51−1+i32−1−i321−1+i32−1−i32ζ4ζ7ζζ8ζ2ζ5-11−i321+i32-11−i321+i32−ζ4−ζ7−ζ−ζ8−ζ2−ζ51−1+i32−1−i321−1+i32−1−i32ζ4ζ7ζζ8ζ2ζ51−1+i32−1−i321−1+i32−1−i32ζ4ζ7ζζ8ζ2ζ5-11−i321+i32-11−i321+i32−ζ4−ζ7−ζ−ζ8−ζ2−ζ51−1+i32−1−i321−1+i32−1−i32ζ4ζ7ζζ8ζ2ζ51−1+i32−1−i321−1+i32−1−i32ζ4ζ7ζζ8ζ2ζ5-11−i321+i32-11−i321+i32−ζ4−ζ7−ζ−ζ8−ζ2−ζ5
χ181−1+i32−1−i321−1+i32−1−i32ζ7ζζ4ζ5ζ8ζ21−1+i32−1−i321−1+i32−1−i32ζ7ζζ4ζ5ζ8ζ2-11−i321+i32-11−i321+i32−ζ7−ζ−ζ4−ζ5−ζ8−ζ21−1+i32−1−i321−1+i32−1−i32ζ7ζζ4ζ5ζ8ζ21−1+i32−1−i321−1+i32−1−i32ζ7ζζ4ζ5ζ8ζ2-11−i321+i32-11−i321+i32−ζ7−ζ−ζ4−ζ5−ζ8−ζ21−1+i32−1−i321−1+i32−1−i32ζ7ζζ4ζ5ζ8ζ21−1+i32−1−i321−1+i32−1−i32ζ7ζζ4ζ5ζ8ζ2-11−i321+i32-11−i321+i32−ζ7−ζ−ζ4−ζ5−ζ8−ζ2
χ191−1−i32−1+i321−1−i32−1+i32ζ2ζ8ζ5ζ4ζζ71−1−i32−1+i321−1−i32−1+i32ζ2ζ8ζ5ζ4ζζ7-11+i321−i32-11+i321−i32−ζ2−ζ8−ζ5−ζ4−ζ−ζ71−1−i32−1+i321−1−i32−1+i32ζ2ζ8ζ5ζ4ζζ71−1−i32−1+i321−1−i32−1+i32ζ2ζ8ζ5ζ4ζζ7-11+i321−i32-11+i321−i32−ζ2−ζ8−ζ5−ζ4−ζ−ζ71−1−i32−1+i321−1−i32−1+i32ζ2ζ8ζ5ζ4ζζ71−1−i32−1+i321−1−i32−1+i32ζ2ζ8ζ5ζ4ζζ7-11+i321−i32-11+i321−i32−ζ2−ζ8−ζ5−ζ4−ζ−ζ7
χ201−1−i32−1+i321−1−i32−1+i32ζ5ζ2ζ8ζζ7ζ41−1−i32−1+i321−1−i32−1+i32ζ5ζ2ζ8ζζ7ζ4-11+i321−i32-11+i321−i32−ζ5−ζ2−ζ8−ζ−ζ7−ζ41−1−i32−1+i321−1−i32−1+i32ζ5ζ2ζ8ζζ7ζ41−1−i32−1+i321−1−i32−1+i32ζ5ζ2ζ8ζζ7ζ4-11+i321−i32-11+i321−i32−ζ5−ζ2−ζ8−ζ−ζ7−ζ41−1−i32−1+i321−1−i32−1+i32ζ5ζ2ζ8ζζ7ζ41−1−i32−1+i321−1−i32−1+i32ζ5ζ2ζ8ζζ7ζ4-11+i321−i32-11+i321−i32−ζ5−ζ2−ζ8−ζ−ζ7−ζ4
χ211−1−i32−1+i321−1−i32−1+i32ζ8ζ5ζ2ζ7ζ4ζ1−1−i32−1+i321−1−i32−1+i32ζ8ζ5ζ2ζ7ζ4ζ-11+i321−i32-11+i321−i32−ζ8−ζ5−ζ2−ζ7−ζ4−ζ1−1−i32−1+i321−1−i32−1+i32ζ8ζ5ζ2ζ7ζ4ζ1−1−i32−1+i321−1−i32−1+i32ζ8ζ5ζ2ζ7ζ4ζ-11+i321−i32-11+i321−i32−ζ8−ζ5−ζ2−ζ7−ζ4−ζ1−1−i32−1+i321−1−i32−1+i32ζ8ζ5ζ2ζ7ζ4ζ1−1−i32−1+i321−1−i32−1+i32ζ8ζ5ζ2ζ7ζ4ζ-11+i321−i32-11+i321−i32−ζ8−ζ5−ζ2−ζ7−ζ4−ζ
χ22333-1-1-1000000333-1-1-1000000-3-3-3111000000333-1-1-1000000333-1-1-1000000-3-3-3111000000333-1-1-1000000333-1-1-1000000-3-3-3111000000
χ233−3+3i32−3−3i32-11−i321+i320000003−3+3i32−3−3i32-11−i321+i32000000-33−3i323+3i321−1+i32−1−i320000003−3+3i32−3−3i32-11−i321+i320000003−3+3i32−3−3i32-11−i321+i32000000-33−3i323+3i321−1+i32−1−i320000003−3+3i32−3−3i32-11−i321+i320000003−3+3i32−3−3i32-11−i321+i32000000-33−3i323+3i321−1+i32−1−i32000000
χ243−3−3i32−3+3i32-11+i321−i320000003−3−3i32−3+3i32-11+i321−i32000000-33+3i323−3i321−1−i32−1+i320000003−3−3i32−3+3i32-11+i321−i320000003−3−3i32−3+3i32-11+i321−i32000000-33+3i323−3i321−1−i32−1+i320000003−3−3i32−3+3i32-11+i321−i320000003−3−3i32−3+3i32-11+i321−i32000000-33+3i323−3i321−1−i32−1+i32000000
χ25222222222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000222222222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000222222222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ26222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-1-1-1-11−i321−i321−i321+i321+i321+i32000000000000222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-1-1-1-11−i321−i321−i321+i321+i321+i32000000000000222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-1-1-1-11−i321−i321−i321+i321+i321+i32000000000000
χ27222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1-1-1-11+i321+i321+i321−i321−i321−i32000000000000222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1-1-1-11+i321+i321+i321−i321−i321−i32000000000000222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1-1-1-11+i321+i321+i321−i321−i321−i32000000000000
χ282−1+i3−1−i32−1+i3−1−i32ζ2ζ42ζ72ζ22ζ52ζ8-11−i321+i32-11−i321+i32−ζ−ζ4−ζ7−ζ2−ζ5−ζ80000000000002−1+i3−1−i32−1+i3−1−i32ζ2ζ42ζ72ζ22ζ52ζ8-11−i321+i32-11−i321+i32−ζ−ζ4−ζ7−ζ2−ζ5−ζ80000000000002−1+i3−1−i32−1+i3−1−i32ζ2ζ42ζ72ζ22ζ52ζ8-11−i321+i32-11−i321+i32−ζ−ζ4−ζ7−ζ2−ζ5−ζ8000000000000
χ292−1+i3−1−i32−1+i3−1−i32ζ42ζ72ζ2ζ82ζ22ζ5-11−i321+i32-11−i321+i32−ζ4−ζ7−ζ−ζ8−ζ2−ζ50000000000002−1+i3−1−i32−1+i3−1−i32ζ42ζ72ζ2ζ82ζ22ζ5-11−i321+i32-11−i321+i32−ζ4−ζ7−ζ−ζ8−ζ2−ζ50000000000002−1+i3−1−i32−1+i3−1−i32ζ42ζ72ζ2ζ82ζ22ζ5-11−i321+i32-11−i321+i32−ζ4−ζ7−ζ−ζ8−ζ2−ζ5000000000000
χ302−1+i3−1−i32−1+i3−1−i32ζ72ζ2ζ42ζ52ζ82ζ2-11−i321+i32-11−i321+i32−ζ7−ζ−ζ4−ζ5−ζ8−ζ20000000000002−1+i3−1−i32−1+i3−1−i32ζ72ζ2ζ42ζ52ζ82ζ2-11−i321+i32-11−i321+i32−ζ7−ζ−ζ4−ζ5−ζ8−ζ20000000000002−1+i3−1−i32−1+i3−1−i32ζ72ζ2ζ42ζ52ζ82ζ2-11−i321+i32-11−i321+i32−ζ7−ζ−ζ4−ζ5−ζ8−ζ2000000000000
χ312−1−i3−1+i32−1−i3−1+i32ζ22ζ82ζ52ζ42ζ2ζ7-11+i321−i32-11+i321−i32−ζ2−ζ8−ζ5−ζ4−ζ−ζ70000000000002−1−i3−1+i32−1−i3−1+i32ζ22ζ82ζ52ζ42ζ2ζ7-11+i321−i32-11+i321−i32−ζ2−ζ8−ζ5−ζ4−ζ−ζ70000000000002−1−i3−1+i32−1−i3−1+i32ζ22ζ82ζ52ζ42ζ2ζ7-11+i321−i32-11+i321−i32−ζ2−ζ8−ζ5−ζ4−ζ−ζ7000000000000
χ322−1−i3−1+i32−1−i3−1+i32ζ52ζ22ζ82ζ2ζ72ζ4-11+i321−i32-11+i321−i32−ζ5−ζ2−ζ8−ζ−ζ7−ζ40000000000002−1−i3−1+i32−1−i3−1+i32ζ52ζ22ζ82ζ2ζ72ζ4-11+i321−i32-11+i321−i32−ζ5−ζ2−ζ8−ζ−ζ7−ζ40000000000002−1−i3−1+i32−1−i3−1+i32ζ52ζ22ζ82ζ2ζ72ζ4-11+i321−i32-11+i321−i32−ζ5−ζ2−ζ8−ζ−ζ7−ζ4000000000000
χ332−1−i3−1+i32−1−i3−1+i32ζ82ζ52ζ22ζ72ζ42ζ-11+i321−i32-11+i321−i32−ζ8−ζ5−ζ2−ζ7−ζ4−ζ0000000000002−1−i3−1+i32−1−i3−1+i32ζ82ζ52ζ22ζ72ζ42ζ-11+i321−i32-11+i321−i32−ζ8−ζ5−ζ2−ζ7−ζ4−ζ0000000000002−1−i3−1+i32−1−i3−1+i32ζ82ζ52ζ22ζ72ζ42ζ-11+i321−i32-11+i321−i32−ζ8−ζ5−ζ2−ζ7−ζ4−ζ000000000000
χ34666-2-2-2000000-3-3-3111000000000000000000666-2-2-2000000-3-3-3111000000000000000000666-2-2-2000000-3-3-3111000000000000000000
χ356−3+3i3−3−3i3-21−i31+i3000000-33−3i323+3i321−1+i32−1−i320000000000000000006−3+3i3−3−3i3-21−i31+i3000000-33−3i323+3i321−1+i32−1−i320000000000000000006−3+3i3−3−3i3-21−i31+i3000000-33−3i323+3i321−1+i32−1−i32000000000000000000
χ366−3−3i3−3+3i3-21+i31−i3000000-33+3i323−3i321−1−i32−1+i320000000000000000006−3−3i3−3+3i3-21+i31−i3000000-33+3i323−3i321−1−i32−1+i320000000000000000006−3−3i3−3+3i3-21+i31−i3000000-33+3i323−3i321−1−i32−1+i32000000000000000000
χ37111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
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Here ζ is a primitive root of unity of order 9 (ζ9 = 1); i = ζ2.