Finite Group Databasebeta

← Group #16788135

Character table — Group #16788135

Order 3328.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100
size11112244444444444444444444444488888881616161616161616161616161616161616161616161616161616161616161616161616161616161616162626262652525252104104104104104208208208208208208208208
order1222221313132626262626262626262626262626262626262626264444444525252525252525252525252525252525252525252525252525252525252525252525252525252525252444444444444488888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−i
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii
χ511111111111111111111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1111-1-1i−ii−ii−ii−i
χ611111111111111111111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1111-1-1−ii−ii−ii−ii
χ711111111111111111111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1111-1-111-1-11
χ811111111111111111111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-111-111-1-111-1
χ9111111111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1
χ10111111111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111
χ11111111111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11111ii−i−i−i−iii
χ12111111111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11111−i−iiiii−i−i
χ13111111111111111111111111111111-1-1-11-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-111i−ii−i−ii−ii
χ14111111111111111111111111111111-1-1-11-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-111−ii−iii−ii−i
χ15111111111111111111111111111111-1-1-11-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-11-1-11-111-1
χ16111111111111111111111111111111-1-1-11-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-111-11-1-11
χ17222222222222222222222222222222002-2-200000000000000-2-2-2-2-2-2-2-2-2-2-2-20000000000002222222222-222-2-2000000000000
χ18222222222222222222222222222222002-2-200000000000000-2-2-2-2-2-2-2-2-2-2-2-2000000000000222222-2-2-2-22-2-222000000000000
χ1922222222222222222222222222222200-2-2200000000000000-2-2-2-2-2-2222222000000000000-2-2-2-2-2-222222-2-22-2000000000000
χ2022222222222222222222222222222200-2-2200000000000000-2-2-2-2-2-2222222000000000000-2-2-2-2-2-2-2-2-2-2-222-22000000000000
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χ908-8-8800−2ζ6−2ζ22−2ζ30−2ζ46−2ζ14−2ζ18−2ζ34−2ζ38−2ζ2−2ζ10−2ζ42−2ζ502ζ6+2ζ22+2ζ30+2ζ462ζ6−2ζ22−2ζ30+2ζ46−2ζ6+2ζ22+2ζ30−2ζ462ζ14+2ζ18+2ζ34+2ζ382ζ14−2ζ18−2ζ34+2ζ38−2ζ14+2ζ18+2ζ34−2ζ382ζ2+2ζ10+2ζ42+2ζ502ζ2−2ζ10−2ζ42+2ζ50−2ζ2+2ζ10+2ζ42−2ζ50−2ζ6+2ζ22+2ζ30−2ζ462ζ6−2ζ22−2ζ30+2ζ46−2ζ14+2ζ18+2ζ34−2ζ382ζ14−2ζ18−2ζ34+2ζ38−2ζ2+2ζ10+2ζ42−2ζ502ζ2−2ζ10−2ζ42+2ζ50−2ζ6−2ζ22−2ζ30−2ζ46−2ζ14−2ζ18−2ζ34−2ζ38−2ζ2−2ζ10−2ζ42−2ζ502ζ6+2ζ22+2ζ30+2ζ462ζ14+2ζ18+2ζ34+2ζ382ζ2+2ζ10+2ζ42+2ζ50−4i4i000000000000000000000000000002ζ7+2ζ19−2ζ7−2ζ192ζ35+2ζ43−2ζ35−2ζ432ζ27+2ζ51−2ζ27−2ζ512ζ31+2ζ47−2ζ31−2ζ472ζ11+2ζ15−2ζ11−2ζ152ζ3+2ζ23−2ζ3−2ζ23000000000000000000000000000
χ918-8-8800−2ζ6−2ζ22−2ζ30−2ζ46−2ζ14−2ζ18−2ζ34−2ζ38−2ζ2−2ζ10−2ζ42−2ζ502ζ6+2ζ22+2ζ30+2ζ46−2ζ6+2ζ22+2ζ30−2ζ462ζ6−2ζ22−2ζ30+2ζ462ζ14+2ζ18+2ζ34+2ζ38−2ζ14+2ζ18+2ζ34−2ζ382ζ14−2ζ18−2ζ34+2ζ382ζ2+2ζ10+2ζ42+2ζ50−2ζ2+2ζ10+2ζ42−2ζ502ζ2−2ζ10−2ζ42+2ζ502ζ6−2ζ22−2ζ30+2ζ46−2ζ6+2ζ22+2ζ30−2ζ462ζ14−2ζ18−2ζ34+2ζ38−2ζ14+2ζ18+2ζ34−2ζ382ζ2−2ζ10−2ζ42+2ζ50−2ζ2+2ζ10+2ζ42−2ζ50−2ζ6−2ζ22−2ζ30−2ζ46−2ζ14−2ζ18−2ζ34−2ζ38−2ζ2−2ζ10−2ζ42−2ζ502ζ6+2ζ22+2ζ30+2ζ462ζ14+2ζ18+2ζ34+2ζ382ζ2+2ζ10+2ζ42+2ζ504i−4i00000000000000000000000000000−2ζ35−2ζ432ζ35+2ζ43−2ζ7−2ζ192ζ7+2ζ19−2ζ31−2ζ472ζ31+2ζ47−2ζ27−2ζ512ζ27+2ζ51−2ζ3−2ζ232ζ3+2ζ23−2ζ11−2ζ152ζ11+2ζ15000000000000000000000000000
χ928-8-8800−2ζ6−2ζ22−2ζ30−2ζ46−2ζ14−2ζ18−2ζ34−2ζ38−2ζ2−2ζ10−2ζ42−2ζ502ζ6+2ζ22+2ζ30+2ζ46−2ζ6+2ζ22+2ζ30−2ζ462ζ6−2ζ22−2ζ30+2ζ462ζ14+2ζ18+2ζ34+2ζ38−2ζ14+2ζ18+2ζ34−2ζ382ζ14−2ζ18−2ζ34+2ζ382ζ2+2ζ10+2ζ42+2ζ50−2ζ2+2ζ10+2ζ42−2ζ502ζ2−2ζ10−2ζ42+2ζ502ζ6−2ζ22−2ζ30+2ζ46−2ζ6+2ζ22+2ζ30−2ζ462ζ14−2ζ18−2ζ34+2ζ38−2ζ14+2ζ18+2ζ34−2ζ382ζ2−2ζ10−2ζ42+2ζ50−2ζ2+2ζ10+2ζ42−2ζ50−2ζ6−2ζ22−2ζ30−2ζ46−2ζ14−2ζ18−2ζ34−2ζ38−2ζ2−2ζ10−2ζ42−2ζ502ζ6+2ζ22+2ζ30+2ζ462ζ14+2ζ18+2ζ34+2ζ382ζ2+2ζ10+2ζ42+2ζ50−4i4i000000000000000000000000000002ζ35+2ζ43−2ζ35−2ζ432ζ7+2ζ19−2ζ7−2ζ192ζ31+2ζ47−2ζ31−2ζ472ζ27+2ζ51−2ζ27−2ζ512ζ3+2ζ23−2ζ3−2ζ232ζ11+2ζ15−2ζ11−2ζ15000000000000000000000000000
χ938-8-8800−2ζ14−2ζ18−2ζ34−2ζ38−2ζ2−2ζ10−2ζ42−2ζ50−2ζ6−2ζ22−2ζ30−2ζ462ζ14+2ζ18+2ζ34+2ζ382ζ14−2ζ18−2ζ34+2ζ38−2ζ14+2ζ18+2ζ34−2ζ382ζ2+2ζ10+2ζ42+2ζ502ζ2−2ζ10−2ζ42+2ζ50−2ζ2+2ζ10+2ζ42−2ζ502ζ6+2ζ22+2ζ30+2ζ46−2ζ6+2ζ22+2ζ30−2ζ462ζ6−2ζ22−2ζ30+2ζ46−2ζ14+2ζ18+2ζ34−2ζ382ζ14−2ζ18−2ζ34+2ζ38−2ζ2+2ζ10+2ζ42−2ζ502ζ2−2ζ10−2ζ42+2ζ502ζ6−2ζ22−2ζ30+2ζ46−2ζ6+2ζ22+2ζ30−2ζ46−2ζ14−2ζ18−2ζ34−2ζ38−2ζ2−2ζ10−2ζ42−2ζ50−2ζ6−2ζ22−2ζ30−2ζ462ζ14+2ζ18+2ζ34+2ζ382ζ2+2ζ10+2ζ42+2ζ502ζ6+2ζ22+2ζ30+2ζ464i−4i00000000000000000000000000000−2ζ27−2ζ512ζ27+2ζ51−2ζ31−2ζ472ζ31+2ζ47−2ζ11−2ζ152ζ11+2ζ15−2ζ3−2ζ232ζ3+2ζ23−2ζ35−2ζ432ζ35+2ζ43−2ζ7−2ζ192ζ7+2ζ19000000000000000000000000000
χ948-8-8800−2ζ14−2ζ18−2ζ34−2ζ38−2ζ2−2ζ10−2ζ42−2ζ50−2ζ6−2ζ22−2ζ30−2ζ462ζ14+2ζ18+2ζ34+2ζ382ζ14−2ζ18−2ζ34+2ζ38−2ζ14+2ζ18+2ζ34−2ζ382ζ2+2ζ10+2ζ42+2ζ502ζ2−2ζ10−2ζ42+2ζ50−2ζ2+2ζ10+2ζ42−2ζ502ζ6+2ζ22+2ζ30+2ζ46−2ζ6+2ζ22+2ζ30−2ζ462ζ6−2ζ22−2ζ30+2ζ46−2ζ14+2ζ18+2ζ34−2ζ382ζ14−2ζ18−2ζ34+2ζ38−2ζ2+2ζ10+2ζ42−2ζ502ζ2−2ζ10−2ζ42+2ζ502ζ6−2ζ22−2ζ30+2ζ46−2ζ6+2ζ22+2ζ30−2ζ46−2ζ14−2ζ18−2ζ34−2ζ38−2ζ2−2ζ10−2ζ42−2ζ50−2ζ6−2ζ22−2ζ30−2ζ462ζ14+2ζ18+2ζ34+2ζ382ζ2+2ζ10+2ζ42+2ζ502ζ6+2ζ22+2ζ30+2ζ46−4i4i000000000000000000000000000002ζ27+2ζ51−2ζ27−2ζ512ζ31+2ζ47−2ζ31−2ζ472ζ11+2ζ15−2ζ11−2ζ152ζ3+2ζ23−2ζ3−2ζ232ζ35+2ζ43−2ζ35−2ζ432ζ7+2ζ19−2ζ7−2ζ19000000000000000000000000000
χ958-8-8800−2ζ14−2ζ18−2ζ34−2ζ38−2ζ2−2ζ10−2ζ42−2ζ50−2ζ6−2ζ22−2ζ30−2ζ462ζ14+2ζ18+2ζ34+2ζ38−2ζ14+2ζ18+2ζ34−2ζ382ζ14−2ζ18−2ζ34+2ζ382ζ2+2ζ10+2ζ42+2ζ50−2ζ2+2ζ10+2ζ42−2ζ502ζ2−2ζ10−2ζ42+2ζ502ζ6+2ζ22+2ζ30+2ζ462ζ6−2ζ22−2ζ30+2ζ46−2ζ6+2ζ22+2ζ30−2ζ462ζ14−2ζ18−2ζ34+2ζ38−2ζ14+2ζ18+2ζ34−2ζ382ζ2−2ζ10−2ζ42+2ζ50−2ζ2+2ζ10+2ζ42−2ζ50−2ζ6+2ζ22+2ζ30−2ζ462ζ6−2ζ22−2ζ30+2ζ46−2ζ14−2ζ18−2ζ34−2ζ38−2ζ2−2ζ10−2ζ42−2ζ50−2ζ6−2ζ22−2ζ30−2ζ462ζ14+2ζ18+2ζ34+2ζ382ζ2+2ζ10+2ζ42+2ζ502ζ6+2ζ22+2ζ30+2ζ464i−4i00000000000000000000000000000−2ζ31−2ζ472ζ31+2ζ47−2ζ27−2ζ512ζ27+2ζ51−2ζ3−2ζ232ζ3+2ζ23−2ζ11−2ζ152ζ11+2ζ15−2ζ7−2ζ192ζ7+2ζ19−2ζ35−2ζ432ζ35+2ζ43000000000000000000000000000
χ968-8-8800−2ζ14−2ζ18−2ζ34−2ζ38−2ζ2−2ζ10−2ζ42−2ζ50−2ζ6−2ζ22−2ζ30−2ζ462ζ14+2ζ18+2ζ34+2ζ38−2ζ14+2ζ18+2ζ34−2ζ382ζ14−2ζ18−2ζ34+2ζ382ζ2+2ζ10+2ζ42+2ζ50−2ζ2+2ζ10+2ζ42−2ζ502ζ2−2ζ10−2ζ42+2ζ502ζ6+2ζ22+2ζ30+2ζ462ζ6−2ζ22−2ζ30+2ζ46−2ζ6+2ζ22+2ζ30−2ζ462ζ14−2ζ18−2ζ34+2ζ38−2ζ14+2ζ18+2ζ34−2ζ382ζ2−2ζ10−2ζ42+2ζ50−2ζ2+2ζ10+2ζ42−2ζ50−2ζ6+2ζ22+2ζ30−2ζ462ζ6−2ζ22−2ζ30+2ζ46−2ζ14−2ζ18−2ζ34−2ζ38−2ζ2−2ζ10−2ζ42−2ζ50−2ζ6−2ζ22−2ζ30−2ζ462ζ14+2ζ18+2ζ34+2ζ382ζ2+2ζ10+2ζ42+2ζ502ζ6+2ζ22+2ζ30+2ζ46−4i4i000000000000000000000000000002ζ31+2ζ47−2ζ31−2ζ472ζ27+2ζ51−2ζ27−2ζ512ζ3+2ζ23−2ζ3−2ζ232ζ11+2ζ15−2ζ11−2ζ152ζ7+2ζ19−2ζ7−2ζ192ζ35+2ζ43−2ζ35−2ζ43000000000000000000000000000
χ978-8-8800−2ζ2−2ζ10−2ζ42−2ζ50−2ζ6−2ζ22−2ζ30−2ζ46−2ζ14−2ζ18−2ζ34−2ζ382ζ2+2ζ10+2ζ42+2ζ502ζ2−2ζ10−2ζ42+2ζ50−2ζ2+2ζ10+2ζ42−2ζ502ζ6+2ζ22+2ζ30+2ζ46−2ζ6+2ζ22+2ζ30−2ζ462ζ6−2ζ22−2ζ30+2ζ462ζ14+2ζ18+2ζ34+2ζ38−2ζ14+2ζ18+2ζ34−2ζ382ζ14−2ζ18−2ζ34+2ζ38−2ζ2+2ζ10+2ζ42−2ζ502ζ2−2ζ10−2ζ42+2ζ502ζ6−2ζ22−2ζ30+2ζ46−2ζ6+2ζ22+2ζ30−2ζ462ζ14−2ζ18−2ζ34+2ζ38−2ζ14+2ζ18+2ζ34−2ζ38−2ζ2−2ζ10−2ζ42−2ζ50−2ζ6−2ζ22−2ζ30−2ζ46−2ζ14−2ζ18−2ζ34−2ζ382ζ2+2ζ10+2ζ42+2ζ502ζ6+2ζ22+2ζ30+2ζ462ζ14+2ζ18+2ζ34+2ζ384i−4i00000000000000000000000000000−2ζ11−2ζ152ζ11+2ζ15−2ζ3−2ζ232ζ3+2ζ23−2ζ35−2ζ432ζ35+2ζ43−2ζ7−2ζ192ζ7+2ζ19−2ζ31−2ζ472ζ31+2ζ47−2ζ27−2ζ512ζ27+2ζ51000000000000000000000000000
χ988-8-8800−2ζ2−2ζ10−2ζ42−2ζ50−2ζ6−2ζ22−2ζ30−2ζ46−2ζ14−2ζ18−2ζ34−2ζ382ζ2+2ζ10+2ζ42+2ζ502ζ2−2ζ10−2ζ42+2ζ50−2ζ2+2ζ10+2ζ42−2ζ502ζ6+2ζ22+2ζ30+2ζ46−2ζ6+2ζ22+2ζ30−2ζ462ζ6−2ζ22−2ζ30+2ζ462ζ14+2ζ18+2ζ34+2ζ38−2ζ14+2ζ18+2ζ34−2ζ382ζ14−2ζ18−2ζ34+2ζ38−2ζ2+2ζ10+2ζ42−2ζ502ζ2−2ζ10−2ζ42+2ζ502ζ6−2ζ22−2ζ30+2ζ46−2ζ6+2ζ22+2ζ30−2ζ462ζ14−2ζ18−2ζ34+2ζ38−2ζ14+2ζ18+2ζ34−2ζ38−2ζ2−2ζ10−2ζ42−2ζ50−2ζ6−2ζ22−2ζ30−2ζ46−2ζ14−2ζ18−2ζ34−2ζ382ζ2+2ζ10+2ζ42+2ζ502ζ6+2ζ22+2ζ30+2ζ462ζ14+2ζ18+2ζ34+2ζ38−4i4i000000000000000000000000000002ζ11+2ζ15−2ζ11−2ζ152ζ3+2ζ23−2ζ3−2ζ232ζ35+2ζ43−2ζ35−2ζ432ζ7+2ζ19−2ζ7−2ζ192ζ31+2ζ47−2ζ31−2ζ472ζ27+2ζ51−2ζ27−2ζ51000000000000000000000000000
χ998-8-8800−2ζ2−2ζ10−2ζ42−2ζ50−2ζ6−2ζ22−2ζ30−2ζ46−2ζ14−2ζ18−2ζ34−2ζ382ζ2+2ζ10+2ζ42+2ζ50−2ζ2+2ζ10+2ζ42−2ζ502ζ2−2ζ10−2ζ42+2ζ502ζ6+2ζ22+2ζ30+2ζ462ζ6−2ζ22−2ζ30+2ζ46−2ζ6+2ζ22+2ζ30−2ζ462ζ14+2ζ18+2ζ34+2ζ382ζ14−2ζ18−2ζ34+2ζ38−2ζ14+2ζ18+2ζ34−2ζ382ζ2−2ζ10−2ζ42+2ζ50−2ζ2+2ζ10+2ζ42−2ζ50−2ζ6+2ζ22+2ζ30−2ζ462ζ6−2ζ22−2ζ30+2ζ46−2ζ14+2ζ18+2ζ34−2ζ382ζ14−2ζ18−2ζ34+2ζ38−2ζ2−2ζ10−2ζ42−2ζ50−2ζ6−2ζ22−2ζ30−2ζ46−2ζ14−2ζ18−2ζ34−2ζ382ζ2+2ζ10+2ζ42+2ζ502ζ6+2ζ22+2ζ30+2ζ462ζ14+2ζ18+2ζ34+2ζ384i−4i00000000000000000000000000000−2ζ3−2ζ232ζ3+2ζ23−2ζ11−2ζ152ζ11+2ζ15−2ζ7−2ζ192ζ7+2ζ19−2ζ35−2ζ432ζ35+2ζ43−2ζ27−2ζ512ζ27+2ζ51−2ζ31−2ζ472ζ31+2ζ47000000000000000000000000000
χ1008-8-8800−2ζ2−2ζ10−2ζ42−2ζ50−2ζ6−2ζ22−2ζ30−2ζ46−2ζ14−2ζ18−2ζ34−2ζ382ζ2+2ζ10+2ζ42+2ζ50−2ζ2+2ζ10+2ζ42−2ζ502ζ2−2ζ10−2ζ42+2ζ502ζ6+2ζ22+2ζ30+2ζ462ζ6−2ζ22−2ζ30+2ζ46−2ζ6+2ζ22+2ζ30−2ζ462ζ14+2ζ18+2ζ34+2ζ382ζ14−2ζ18−2ζ34+2ζ38−2ζ14+2ζ18+2ζ34−2ζ382ζ2−2ζ10−2ζ42+2ζ50−2ζ2+2ζ10+2ζ42−2ζ50−2ζ6+2ζ22+2ζ30−2ζ462ζ6−2ζ22−2ζ30+2ζ46−2ζ14+2ζ18+2ζ34−2ζ382ζ14−2ζ18−2ζ34+2ζ38−2ζ2−2ζ10−2ζ42−2ζ50−2ζ6−2ζ22−2ζ30−2ζ46−2ζ14−2ζ18−2ζ34−2ζ382ζ2+2ζ10+2ζ42+2ζ502ζ6+2ζ22+2ζ30+2ζ462ζ14+2ζ18+2ζ34+2ζ38−4i4i000000000000000000000000000002ζ3+2ζ23−2ζ3−2ζ232ζ11+2ζ15−2ζ11−2ζ152ζ7+2ζ19−2ζ7−2ζ192ζ35+2ζ43−2ζ35−2ζ432ζ27+2ζ51−2ζ27−2ζ512ζ31+2ζ47−2ζ31−2ζ47000000000000000000000000000

Here ζ is a primitive root of unity of order 52 (ζ52 = 1); i = ζ13.