Finite Group Databasebeta

← Group #14517521

Character table — Group #14517521

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size1122222222222222222666666666666666666666666666666666666666666666666999918181818181818181818181818181818181818181818181818181818181818181818162162162162162162
order123333466661212121212121212333333333333666666666666121212121212121212121212121212121212121212121212336633333333666666661212121212121212121212121212121212124412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111−1−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+i3211−1−i32−1−i32−1+i32−1+i32
χ41111111111111111111111111111111111111111111111111111111111111111111−1−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+i32-1-11+i321+i321−i321−i32
χ51111111111111111111111111111111111111111111111111111111111111111111−1+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−i3211−1+i32−1+i32−1−i32−1−i32
χ61111111111111111111111111111111111111111111111111111111111111111111−1+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−i32-1-11−i321−i321+i321+i32
χ7111111-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1
χ8111111-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11
χ9111111-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−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+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321-1−1−i321+i32−1+i321−i32
χ10111111-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−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+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32-111+i32−1−i321−i32−1+i32
χ11111111-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+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−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321-1−1+i321−i32−1−i321+i32
χ12111111-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+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−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32-111−i32−1+i321+i32−1−i32
χ132222222222222222222222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-12-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1000000
χ142222222222222222222222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i3−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i3−1+i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32000000
χ152222222222222222222222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i3−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i3−1−i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32000000
χ162222222222222222222-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-12222-12-1-1-12-1-1-12-1-1-12-1-122-1-122-1-1-1-1-1-122-1-1-1-1000000
χ172222222222222222222-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i31+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i32−1+i31−i321−i32−1−i3−1+i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321−i321−i32−1+i3−1+i31−i321−i321−i321−i32000000
χ182222222222222222222-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i31−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i32−1−i31+i321+i32−1+i3−1−i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321+i321+i32−1−i3−1−i31+i321+i321+i321+i32000000
χ192222222222222222222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-12222-1-12-1-1-12-1-1-12-1-1-12-122-1-1-1-122-1-1-1-1-1-122-1-1000000
χ202222222222222222222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i31+i321+i32−1−i31+i321−i321−i32−1+i31−i321+i321+i32−1−i31+i321−i321−i32−1+i31−i32−1−i3−1+i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321−i321−i321−i321−i32−1+i3−1+i31−i321−i32000000
χ212222222222222222222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i31−i321−i32−1+i31−i321+i321+i32−1−i31+i321−i321−i32−1+i31−i321+i321+i32−1−i31+i32−1+i3−1−i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321+i321+i321+i321+i32−1−i3−1−i31+i321+i32000000
χ222222222222222222222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-12-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122000000
χ232222222222222222222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222−1−i3−1+i3−1−i3−1+i31+i321+i321+i32−1−i31−i321−i321−i32−1+i31+i321+i321+i32−1−i31−i321−i321−i32−1+i3−1−i3−1+i31+i321+i321+i321+i321+i321+i32−1−i3−1−i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3000000
χ242222222222222222222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222−1+i3−1−i3−1+i3−1−i31−i321−i321−i32−1+i31+i321+i321+i32−1−i31−i321−i321−i32−1+i31+i321+i321+i32−1−i3−1+i3−1−i31−i321−i321−i321−i321−i321−i32−1+i3−1+i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3000000
χ25222222-22222-2-2-2-2-2-2-2-2222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111111111111122222-1-1-12-1-1-12-1-1-12-1-1-1-2-2-2-2111111-2-2111111000000
χ26222222-22222-2-2-2-2-2-2-2-2222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111111111111111−1−i3−1+i3−1−i3−1+i3−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i31−i321−i321−i321+i31−i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000
χ27222222-22222-2-2-2-2-2-2-2-2222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111111111111111−1+i3−1−i3−1+i3−1−i3−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i31+i321+i321+i321−i31+i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000000
χ28222222-22222-2-2-2-2-2-2-2-2-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1111111-2-2-2-2-2-21111111111112222-12-1-1-12-1-1-12-1-1-12-1-1-2-211-2-2111111-2-21111000000
χ29222222-22222-2-2-2-2-2-2-2-2-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1111111-2-2-2-2-2-2111111111111−1−i3−1+i3−1−i3−1+i31+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i31−i3−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32000000
χ30222222-22222-2-2-2-2-2-2-2-2-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1111111-2-2-2-2-2-2111111111111−1+i3−1−i3−1+i3−1−i31−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i31+i3−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32000000
χ31222222-22222-2-2-2-2-2-2-2-2-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1111111111111-2-2-2-2-2-21111112222-1-12-1-1-12-1-1-12-1-1-12-1-2-21111-2-2111111-2-211000000
χ32222222-22222-2-2-2-2-2-2-2-2-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1111111111111-2-2-2-2-2-2111111−1−i3−1+i3−1−i3−1+i31+i321+i32−1−i31+i321−i321−i32−1+i31−i321+i321+i32−1−i31+i321−i321−i32−1+i31−i321+i31−i3−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i32−1+i32000000
χ33222222-22222-2-2-2-2-2-2-2-2-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1111111111111-2-2-2-2-2-2111111−1+i3−1−i3−1+i3−1−i31−i321−i32−1+i31−i321+i321+i32−1−i31+i321−i321−i32−1+i31−i321+i321+i32−1−i31+i321−i31+i3−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i32−1−i32000000
χ34222222-22222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222111111111111111111-2-2-2-2-2-22222-1-1-12-1-1-12-1-1-12-1-1-12-2-2111111-2-2111111-2-2000000
χ35222222-22222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222111111111111111111-2-2-2-2-2-2−1−i3−1+i3−1−i3−1+i31+i321+i321+i32−1−i31−i321−i321−i32−1+i31+i321+i321+i32−1−i31−i321−i321−i32−1+i31+i31−i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i3000000
χ36222222-22222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222111111111111111111-2-2-2-2-2-2−1+i3−1−i3−1+i3−1−i31−i321−i321−i32−1+i31+i321+i321+i32−1−i31−i321−i321−i32−1+i31+i321+i321+i32−1−i31−i31+i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i3000000
χ372-222220-2-2-2-200000000222222222222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000022-2-222222222-2-2-2-2-2-2-2-2000000000000000000000000
χ382-222220-2-2-2-200000000222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000−1−i3−1+i31+i31−i3−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i31+i31+i31+i31+i31−i31−i31−i31−i3000000000000000000000000
χ392-222220-2-2-2-200000000222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000−1+i3−1−i31−i31+i3−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i31−i31−i31−i31−i31+i31+i31+i31+i3000000000000000000000000
χ402-222220-2-2-2-200000000222-1-1-1-1-1-1-1-1-1-2-2-2111111111000000333−3−3−3333−3−3−3333−3−3−322-2-22-1-1-12-1-1-1-2111-211100003−33−33−3003−33−33−3000000
χ412-222220-2-2-2-200000000222-1-1-1-1-1-1-1-1-1-2-2-2111111111000000333−3−3−3333−3−3−3333−3−3−3−1−i3−1+i31+i31−i3−1−i31+i321+i321+i32−1+i31−i321−i321−i321+i3−1−i32−1−i32−1−i321−i3−1+i32−1+i32−1+i3200002ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ1100−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11000000
χ422-222220-2-2-2-200000000222-1-1-1-1-1-1-1-1-1-2-2-2111111111000000333−3−3−3333−3−3−3333−3−3−3−1+i3−1−i31−i31+i3−1+i31−i321−i321−i32−1−i31+i321+i321+i321−i3−1+i32−1+i32−1+i321+i3−1−i32−1−i32−1−i320000−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11002ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ11000000
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χ452-222220-2-2-2-200000000222-1-1-1-1-1-1-1-1-1-2-2-2111111111000000−3−3−3333−3−3−3333−3−3−3333−1+i3−1−i31−i31+i3−1+i31−i321−i321−i32−1−i31+i321+i321+i321−i3−1+i32−1+i32−1+i321+i3−1−i32−1−i32−1−i320000ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ1100−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11000000
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χ502-222220-2-2-2-200000000-1-1-1222-1-1-1-1-1-1111-2-2-2111111−3−3−3333000000−3−3−3333333−3−3−3−1−i3−1+i31+i31−i31+i32−1−i31+i321+i321−i32−1+i31−i321−i32−1−i321+i3−1−i32−1−i32−1+i321−i3−1+i32−1+i3200−2ζ7−ζ112ζ7+ζ1100−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11ζ7+2ζ11−ζ7−2ζ1100ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11000000
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χ582-222220-2-2-2-200000000-1-1-1-1-1-1-1-1-1222111111111-2-2-2333−3−3−3333−3−3−3−3−3−333300000022-2-2-1-1-12-1-1-12111-2111-2003−33−3−33003−33−3−3300000000
χ592-222220-2-2-2-200000000-1-1-1-1-1-1-1-1-1222111111111-2-2-2333−3−3−3333−3−3−3−3−3−3333000000−1−i3−1+i31+i31−i31+i321+i321+i32−1−i31−i321−i321−i32−1+i3−1−i32−1−i32−1−i321+i3−1+i32−1+i32−1+i321−i3002ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ1100−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ1100000000
χ602-222220-2-2-2-200000000-1-1-1-1-1-1-1-1-1222111111111-2-2-2333−3−3−3333−3−3−3−3−3−3333000000−1+i3−1−i31−i31+i31−i321−i321−i32−1+i31+i321+i321+i32−1−i3−1+i32−1+i32−1+i321−i3−1−i32−1−i32−1−i321+i300−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11002ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ1100000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.