Finite Group Databasebeta

← Group #13052078

Character table — Group #13052078

Order 1344.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11667777777777116677777777772212121414141414141414141422121214141414141414141414221212141414141414141414144424242828282828282828282844242428282828282828282828
order127143344661212121222141466446612121212442828121244121212121212885656242488242424242424885656242488242424242424442828121244121212121212442828121244121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111-1-111-1-1-1-1111111-1-111-1-1-1-1111111-1-111-1-1-1-1111111-1-111-1-1-1-1111111-1-111-1-1-1-1111111-1-111-1-1-1-1111111-1-111-1-1-1-1
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+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+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−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−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−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−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+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+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−i1-11-111i−i-1-1i−ii−i1-11-111i−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−ii1-11-111−ii-1-1−ii−ii1-11-111−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−i32ζ22−ζ22ζ14−ζ141-11-1−1−i32−1+i32i−i1+i321−i32ζ22−ζ22ζ14−ζ141-11-1−1−i32−1+i32i−i1+i321−i32ζ22−ζ22ζ14−ζ141-11-1−1−i32−1+i32i−i1+i321−i32ζ22−ζ22ζ14−ζ141-11-1−1−i32−1+i32i−i1+i321−i32ζ22−ζ22ζ14−ζ141-11-1−1−i32−1+i32i−i1+i321−i32ζ22−ζ22ζ14−ζ141-11-1−1−i32−1+i32i−i1+i321−i32ζ22−ζ22ζ14−ζ14
χ101-11-1−1−i32−1+i32−ii1+i321−i32−ζ22ζ22−ζ14ζ141-11-1−1−i32−1+i32−ii1+i321−i32−ζ22ζ22−ζ14ζ141-11-1−1−i32−1+i32−ii1+i321−i32−ζ22ζ22−ζ14ζ141-11-1−1−i32−1+i32−ii1+i321−i32−ζ22ζ22−ζ14ζ141-11-1−1−i32−1+i32−ii1+i321−i32−ζ22ζ22−ζ14ζ141-11-1−1−i32−1+i32−ii1+i321−i32−ζ22ζ22−ζ14ζ141-11-1−1−i32−1+i32−ii1+i321−i32−ζ22ζ22−ζ14ζ14
χ111-11-1−1+i32−1−i32i−i1−i321+i32ζ14−ζ14ζ22−ζ221-11-1−1+i32−1−i32i−i1−i321+i32ζ14−ζ14ζ22−ζ221-11-1−1+i32−1−i32i−i1−i321+i32ζ14−ζ14ζ22−ζ221-11-1−1+i32−1−i32i−i1−i321+i32ζ14−ζ14ζ22−ζ221-11-1−1+i32−1−i32i−i1−i321+i32ζ14−ζ14ζ22−ζ221-11-1−1+i32−1−i32i−i1−i321+i32ζ14−ζ14ζ22−ζ221-11-1−1+i32−1−i32i−i1−i321+i32ζ14−ζ14ζ22−ζ22
χ121-11-1−1+i32−1−i32−ii1−i321+i32−ζ14ζ14−ζ22ζ221-11-1−1+i32−1−i32−ii1−i321+i32−ζ14ζ14−ζ22ζ221-11-1−1+i32−1−i32−ii1−i321+i32−ζ14ζ14−ζ22ζ221-11-1−1+i32−1−i32−ii1−i321+i32−ζ14ζ14−ζ22ζ221-11-1−1+i32−1−i32−ii1−i321+i32−ζ14ζ14−ζ22ζ221-11-1−1+i32−1−i32−ii1−i321+i32−ζ14ζ14−ζ22ζ221-11-1−1+i32−1−i32−ii1−i321+i32−ζ14ζ14−ζ22ζ22
χ1366-1-1000000000066-1-1000000000066-1-1000000000066-1-1000000000066-1-1000000000066-1-1000000000066-1-10000000000
χ146-6-1100000000006-6-1100000000006-6-1100000000006-6-1100000000006-6-1100000000006-6-1100000000006-6-110000000000
χ151111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ16111111-1-111-1-1-1-1111111-1-111-1-1-1-1111111-1-111-1-1-1-1111111-1-111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-11111
χ171111−1−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+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+i32-1-1-1-11+i321−i32-1-11+i321−i321+i321+i321−i321−i32-1-1-1-11+i321−i32-1-11+i321−i321+i321+i321−i321−i32
χ181111−1−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−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−i32-1-1-1-11+i321−i32111+i321−i32−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321−i32111+i321−i32−1−i32−1−i32−1+i32−1+i32
χ191111−1+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−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−i32-1-1-1-11−i321+i32-1-11−i321+i321−i321−i321+i321+i32-1-1-1-11−i321+i32-1-11−i321+i321−i321−i321+i321+i32
χ201111−1+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+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+i32-1-1-1-11−i321+i32111−i321+i32−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321+i32111−i321+i32−1+i32−1+i32−1−i32−1−i32
χ211-11-111i−i-1-1i−ii−i1-11-111i−i-1-1i−ii−i1-11-111i−i-1-1i−ii−i1-11-111i−i-1-1i−ii−i1-11-111i−i-1-1i−ii−i-11-11-1-1−ii11−ii−ii-11-11-1-1−ii11−ii−ii
χ221-11-111−ii-1-1−ii−ii1-11-111−ii-1-1−ii−ii1-11-111−ii-1-1−ii−ii1-11-111−ii-1-1−ii−ii1-11-111−ii-1-1−ii−ii-11-11-1-1i−i11i−ii−i-11-11-1-1i−i11i−ii−i
χ231-11-1−1−i32−1+i32i−i1+i321−i32ζ22−ζ22ζ14−ζ141-11-1−1−i32−1+i32i−i1+i321−i32ζ22−ζ22ζ14−ζ141-11-1−1−i32−1+i32i−i1+i321−i32ζ22−ζ22ζ14−ζ141-11-1−1−i32−1+i32i−i1+i321−i32ζ22−ζ22ζ14−ζ141-11-1−1−i32−1+i32i−i1+i321−i32ζ22−ζ22ζ14−ζ14-11-111+i321−i32−ii−1−i32−1+i32−ζ22ζ22−ζ14ζ14-11-111+i321−i32−ii−1−i32−1+i32−ζ22ζ22−ζ14ζ14
χ241-11-1−1−i32−1+i32−ii1+i321−i32−ζ22ζ22−ζ14ζ141-11-1−1−i32−1+i32−ii1+i321−i32−ζ22ζ22−ζ14ζ141-11-1−1−i32−1+i32−ii1+i321−i32−ζ22ζ22−ζ14ζ141-11-1−1−i32−1+i32−ii1+i321−i32−ζ22ζ22−ζ14ζ141-11-1−1−i32−1+i32−ii1+i321−i32−ζ22ζ22−ζ14ζ14-11-111+i321−i32i−i−1−i32−1+i32ζ22−ζ22ζ14−ζ14-11-111+i321−i32i−i−1−i32−1+i32ζ22−ζ22ζ14−ζ14
χ251-11-1−1+i32−1−i32i−i1−i321+i32ζ14−ζ14ζ22−ζ221-11-1−1+i32−1−i32i−i1−i321+i32ζ14−ζ14ζ22−ζ221-11-1−1+i32−1−i32i−i1−i321+i32ζ14−ζ14ζ22−ζ221-11-1−1+i32−1−i32i−i1−i321+i32ζ14−ζ14ζ22−ζ221-11-1−1+i32−1−i32i−i1−i321+i32ζ14−ζ14ζ22−ζ22-11-111−i321+i32−ii−1+i32−1−i32−ζ14ζ14−ζ22ζ22-11-111−i321+i32−ii−1+i32−1−i32−ζ14ζ14−ζ22ζ22
χ261-11-1−1+i32−1−i32−ii1−i321+i32−ζ14ζ14−ζ22ζ221-11-1−1+i32−1−i32−ii1−i321+i32−ζ14ζ14−ζ22ζ221-11-1−1+i32−1−i32−ii1−i321+i32−ζ14ζ14−ζ22ζ221-11-1−1+i32−1−i32−ii1−i321+i32−ζ14ζ14−ζ22ζ221-11-1−1+i32−1−i32−ii1−i321+i32−ζ14ζ14−ζ22ζ22-11-111−i321+i32i−i−1+i32−1−i32ζ14−ζ14ζ22−ζ22-11-111−i321+i32i−i−1+i32−1−i32ζ14−ζ14ζ22−ζ22
χ2766-1-1000000000066-1-1000000000066-1-1000000000066-1-1000000000066-1-10000000000-6-6110000000000-6-6110000000000
χ286-6-1100000000006-6-1100000000006-6-1100000000006-6-1100000000006-6-110000000000-661-10000000000-661-10000000000
χ29111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ30111111-1-111-1-1-1-1111111-1-111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-11111
χ311111−1−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+i32-1-1-1-11+i321−i32-1-11+i321−i321+i321+i321−i321−i32-1-1-1-11+i321−i32-1-11+i321−i321+i321+i321−i321−i321111−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321−i32-1-11+i321−i321+i321+i321−i321−i32
χ321111−1−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−i32-1-1-1-11+i321−i32111+i321−i32−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321−i32111+i321−i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i32-1-1-1-11+i321−i32111+i321−i32−1−i32−1−i32−1+i32−1+i32
χ331111−1+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−i32-1-1-1-11−i321+i32-1-11−i321+i321−i321−i321+i321+i32-1-1-1-11−i321+i32-1-11−i321+i321−i321−i321+i321+i321111−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321+i32-1-11−i321+i321−i321−i321+i321+i32
χ341111−1+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+i32-1-1-1-11−i321+i32111−i321+i32−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321+i32111−i321+i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i32-1-1-1-11−i321+i32111−i321+i32−1+i32−1+i32−1−i32−1−i32
χ351-11-111i−i-1-1i−ii−i1-11-111i−i-1-1i−ii−i1-11-111i−i-1-1i−ii−i-11-11-1-1−ii11−ii−ii-11-11-1-1−ii11−ii−ii1-11-111i−i-1-1i−ii−i-11-11-1-1−ii11−ii−ii
χ361-11-111−ii-1-1−ii−ii1-11-111−ii-1-1−ii−ii1-11-111−ii-1-1−ii−ii-11-11-1-1i−i11i−ii−i-11-11-1-1i−i11i−ii−i1-11-111−ii-1-1−ii−ii-11-11-1-1i−i11i−ii−i
χ371-11-1−1−i32−1+i32i−i1+i321−i32ζ22−ζ22ζ14−ζ141-11-1−1−i32−1+i32i−i1+i321−i32ζ22−ζ22ζ14−ζ141-11-1−1−i32−1+i32i−i1+i321−i32ζ22−ζ22ζ14−ζ14-11-111+i321−i32−ii−1−i32−1+i32−ζ22ζ22−ζ14ζ14-11-111+i321−i32−ii−1−i32−1+i32−ζ22ζ22−ζ14ζ141-11-1−1−i32−1+i32i−i1+i321−i32ζ22−ζ22ζ14−ζ14-11-111+i321−i32−ii−1−i32−1+i32−ζ22ζ22−ζ14ζ14
χ381-11-1−1−i32−1+i32−ii1+i321−i32−ζ22ζ22−ζ14ζ141-11-1−1−i32−1+i32−ii1+i321−i32−ζ22ζ22−ζ14ζ141-11-1−1−i32−1+i32−ii1+i321−i32−ζ22ζ22−ζ14ζ14-11-111+i321−i32i−i−1−i32−1+i32ζ22−ζ22ζ14−ζ14-11-111+i321−i32i−i−1−i32−1+i32ζ22−ζ22ζ14−ζ141-11-1−1−i32−1+i32−ii1+i321−i32−ζ22ζ22−ζ14ζ14-11-111+i321−i32i−i−1−i32−1+i32ζ22−ζ22ζ14−ζ14
χ391-11-1−1+i32−1−i32i−i1−i321+i32ζ14−ζ14ζ22−ζ221-11-1−1+i32−1−i32i−i1−i321+i32ζ14−ζ14ζ22−ζ221-11-1−1+i32−1−i32i−i1−i321+i32ζ14−ζ14ζ22−ζ22-11-111−i321+i32−ii−1+i32−1−i32−ζ14ζ14−ζ22ζ22-11-111−i321+i32−ii−1+i32−1−i32−ζ14ζ14−ζ22ζ221-11-1−1+i32−1−i32i−i1−i321+i32ζ14−ζ14ζ22−ζ22-11-111−i321+i32−ii−1+i32−1−i32−ζ14ζ14−ζ22ζ22
χ401-11-1−1+i32−1−i32−ii1−i321+i32−ζ14ζ14−ζ22ζ221-11-1−1+i32−1−i32−ii1−i321+i32−ζ14ζ14−ζ22ζ221-11-1−1+i32−1−i32−ii1−i321+i32−ζ14ζ14−ζ22ζ22-11-111−i321+i32i−i−1+i32−1−i32ζ14−ζ14ζ22−ζ22-11-111−i321+i32i−i−1+i32−1−i32ζ14−ζ14ζ22−ζ221-11-1−1+i32−1−i32−ii1−i321+i32−ζ14ζ14−ζ22ζ22-11-111−i321+i32i−i−1+i32−1−i32ζ14−ζ14ζ22−ζ22
χ4166-1-1000000000066-1-1000000000066-1-10000000000-6-6110000000000-6-611000000000066-1-10000000000-6-6110000000000
χ426-6-1100000000006-6-1100000000006-6-110000000000-661-10000000000-661-100000000006-6-110000000000-661-10000000000
χ43111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111
χ44111111-1-111-1-1-1-1111111-1-111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-11111111111-1-111-1-1-1-1
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χ531-11-1−1+i32−1−i32i−i1−i321+i32ζ14−ζ14ζ22−ζ221-11-1−1+i32−1−i32i−i1−i321+i32ζ14−ζ14ζ22−ζ221-11-1−1+i32−1−i32i−i1−i321+i32ζ14−ζ14ζ22−ζ22-11-111−i321+i32−ii−1+i32−1−i32−ζ14ζ14−ζ22ζ22-11-111−i321+i32−ii−1+i32−1−i32−ζ14ζ14−ζ22ζ22-11-111−i321+i32−ii−1+i32−1−i32−ζ14ζ14−ζ22ζ221-11-1−1+i32−1−i32i−i1−i321+i32ζ14−ζ14ζ22−ζ22
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.