Finite Group Databasebeta

← Group #17959542

Character table — Group #17959542

Order 4352.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122
size11112244444444444444444444444444444444888888816161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616163434343468686868136136136136136272272272272272272272272
order122222171717173434343434343434343434343434343434343434343434343434343444444446868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−i
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii
χ511111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1i−ii−ii−ii−i
χ611111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1−ii−ii−ii−ii
χ711111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1111-1-111-1-11
χ811111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-111-1-111-1
χ9111111111111111111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-11111-1-1-1-1
χ10111111111111111111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111
χ11111111111111111111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11111ii−i−i−i−iii
χ12111111111111111111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11111−i−iiiii−i−i
χ13111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-111i−ii−i−ii−ii
χ14111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-111−ii−iii−ii−i
χ15111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-11-1-11-111-1
χ16111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-111-11-1-11
χ1722222222222222222222222222222222222222-2002-200-2-2-2-2-2-2-2-20000000000000000-2-2-2-2-2-2-2-200000000000000002222222222222-2-22-2000000000000
χ1822222222222222222222222222222222222222-2002-200-2-2-2-2-2-2-2-20000000000000000-2-2-2-2-2-2-2-2000000000000000022222222-2-2-2-2-222-22000000000000
χ1922222222222222222222222222222222222222-200-2200222222220000000000000000-2-2-2-2-2-2-2-20000000000000000-2-2-2-2-2-2-2-22222-222-2-2000000000000
χ2022222222222222222222222222222222222222-200-2200222222220000000000000000-2-2-2-2-2-2-2-20000000000000000-2-2-2-2-2-2-2-2-2-2-2-22-2-222000000000000
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χ1168-8-88-88−2ζ18−2ζ30−2ζ38−2ζ50−2ζ6−2ζ10−2ζ58−2ζ62−2ζ14−2ζ22−2ζ46−2ζ54−2ζ2−2ζ26−2ζ42−2ζ662ζ18+2ζ30+2ζ38+2ζ50−2ζ18−2ζ30−2ζ38−2ζ50−2ζ18−2ζ30−2ζ38−2ζ502ζ6+2ζ10+2ζ58+2ζ62−2ζ6−2ζ10−2ζ58−2ζ62−2ζ6−2ζ10−2ζ58−2ζ622ζ14+2ζ22+2ζ46+2ζ54−2ζ14−2ζ22−2ζ46−2ζ54−2ζ14−2ζ22−2ζ46−2ζ542ζ2+2ζ26+2ζ42+2ζ66−2ζ2−2ζ26−2ζ42−2ζ66−2ζ2−2ζ26−2ζ42−2ζ66−2ζ18−2ζ30−2ζ38−2ζ502ζ18+2ζ30+2ζ38+2ζ502ζ18+2ζ30+2ζ38+2ζ50−2ζ6−2ζ10−2ζ58−2ζ622ζ6+2ζ10+2ζ58+2ζ622ζ6+2ζ10+2ζ58+2ζ62−2ζ14−2ζ22−2ζ46−2ζ542ζ14+2ζ22+2ζ46+2ζ542ζ14+2ζ22+2ζ46+2ζ54−2ζ2−2ζ26−2ζ42−2ζ662ζ2+2ζ26+2ζ42+2ζ662ζ2+2ζ26+2ζ42+2ζ662ζ18+2ζ30+2ζ38+2ζ502ζ6+2ζ10+2ζ58+2ζ622ζ14+2ζ22+2ζ46+2ζ542ζ2+2ζ26+2ζ42+2ζ660000000−2ζ18+2ζ30+2ζ38−2ζ502ζ18−2ζ30−2ζ38+2ζ50−2ζ6+2ζ10+2ζ58−2ζ622ζ6−2ζ10−2ζ58+2ζ62−2ζ14+2ζ22+2ζ46−2ζ542ζ14−2ζ22−2ζ46+2ζ54−2ζ2+2ζ26+2ζ42−2ζ662ζ2−2ζ26−2ζ42+2ζ66000000000000000000000000000000000000000000000000000000000000000000000
χ1178-8-88-88−2ζ6−2ζ10−2ζ58−2ζ62−2ζ2−2ζ26−2ζ42−2ζ66−2ζ18−2ζ30−2ζ38−2ζ50−2ζ14−2ζ22−2ζ46−2ζ542ζ6+2ζ10+2ζ58+2ζ62−2ζ6−2ζ10−2ζ58−2ζ62−2ζ6−2ζ10−2ζ58−2ζ622ζ2+2ζ26+2ζ42+2ζ66−2ζ2−2ζ26−2ζ42−2ζ66−2ζ2−2ζ26−2ζ42−2ζ662ζ18+2ζ30+2ζ38+2ζ50−2ζ18−2ζ30−2ζ38−2ζ50−2ζ18−2ζ30−2ζ38−2ζ502ζ14+2ζ22+2ζ46+2ζ54−2ζ14−2ζ22−2ζ46−2ζ54−2ζ14−2ζ22−2ζ46−2ζ54−2ζ6−2ζ10−2ζ58−2ζ622ζ6+2ζ10+2ζ58+2ζ622ζ6+2ζ10+2ζ58+2ζ62−2ζ2−2ζ26−2ζ42−2ζ662ζ2+2ζ26+2ζ42+2ζ662ζ2+2ζ26+2ζ42+2ζ66−2ζ18−2ζ30−2ζ38−2ζ502ζ18+2ζ30+2ζ38+2ζ502ζ18+2ζ30+2ζ38+2ζ50−2ζ14−2ζ22−2ζ46−2ζ542ζ14+2ζ22+2ζ46+2ζ542ζ14+2ζ22+2ζ46+2ζ542ζ6+2ζ10+2ζ58+2ζ622ζ2+2ζ26+2ζ42+2ζ662ζ18+2ζ30+2ζ38+2ζ502ζ14+2ζ22+2ζ46+2ζ5400000002ζ6−2ζ10−2ζ58+2ζ62−2ζ6+2ζ10+2ζ58−2ζ622ζ2−2ζ26−2ζ42+2ζ66−2ζ2+2ζ26+2ζ42−2ζ662ζ18−2ζ30−2ζ38+2ζ50−2ζ18+2ζ30+2ζ38−2ζ50−2ζ14+2ζ22+2ζ46−2ζ542ζ14−2ζ22−2ζ46+2ζ54000000000000000000000000000000000000000000000000000000000000000000000
χ1188-8-88-88−2ζ6−2ζ10−2ζ58−2ζ62−2ζ2−2ζ26−2ζ42−2ζ66−2ζ18−2ζ30−2ζ38−2ζ50−2ζ14−2ζ22−2ζ46−2ζ542ζ6+2ζ10+2ζ58+2ζ62−2ζ6−2ζ10−2ζ58−2ζ62−2ζ6−2ζ10−2ζ58−2ζ622ζ2+2ζ26+2ζ42+2ζ66−2ζ2−2ζ26−2ζ42−2ζ66−2ζ2−2ζ26−2ζ42−2ζ662ζ18+2ζ30+2ζ38+2ζ50−2ζ18−2ζ30−2ζ38−2ζ50−2ζ18−2ζ30−2ζ38−2ζ502ζ14+2ζ22+2ζ46+2ζ54−2ζ14−2ζ22−2ζ46−2ζ54−2ζ14−2ζ22−2ζ46−2ζ54−2ζ6−2ζ10−2ζ58−2ζ622ζ6+2ζ10+2ζ58+2ζ622ζ6+2ζ10+2ζ58+2ζ62−2ζ2−2ζ26−2ζ42−2ζ662ζ2+2ζ26+2ζ42+2ζ662ζ2+2ζ26+2ζ42+2ζ66−2ζ18−2ζ30−2ζ38−2ζ502ζ18+2ζ30+2ζ38+2ζ502ζ18+2ζ30+2ζ38+2ζ50−2ζ14−2ζ22−2ζ46−2ζ542ζ14+2ζ22+2ζ46+2ζ542ζ14+2ζ22+2ζ46+2ζ542ζ6+2ζ10+2ζ58+2ζ622ζ2+2ζ26+2ζ42+2ζ662ζ18+2ζ30+2ζ38+2ζ502ζ14+2ζ22+2ζ46+2ζ540000000−2ζ6+2ζ10+2ζ58−2ζ622ζ6−2ζ10−2ζ58+2ζ62−2ζ2+2ζ26+2ζ42−2ζ662ζ2−2ζ26−2ζ42+2ζ66−2ζ18+2ζ30+2ζ38−2ζ502ζ18−2ζ30−2ζ38+2ζ502ζ14−2ζ22−2ζ46+2ζ54−2ζ14+2ζ22+2ζ46−2ζ54000000000000000000000000000000000000000000000000000000000000000000000
χ1198-8-88-88−2ζ14−2ζ22−2ζ46−2ζ54−2ζ18−2ζ30−2ζ38−2ζ50−2ζ2−2ζ26−2ζ42−2ζ66−2ζ6−2ζ10−2ζ58−2ζ622ζ14+2ζ22+2ζ46+2ζ54−2ζ14−2ζ22−2ζ46−2ζ54−2ζ14−2ζ22−2ζ46−2ζ542ζ18+2ζ30+2ζ38+2ζ50−2ζ18−2ζ30−2ζ38−2ζ50−2ζ18−2ζ30−2ζ38−2ζ502ζ2+2ζ26+2ζ42+2ζ66−2ζ2−2ζ26−2ζ42−2ζ66−2ζ2−2ζ26−2ζ42−2ζ662ζ6+2ζ10+2ζ58+2ζ62−2ζ6−2ζ10−2ζ58−2ζ62−2ζ6−2ζ10−2ζ58−2ζ62−2ζ14−2ζ22−2ζ46−2ζ542ζ14+2ζ22+2ζ46+2ζ542ζ14+2ζ22+2ζ46+2ζ54−2ζ18−2ζ30−2ζ38−2ζ502ζ18+2ζ30+2ζ38+2ζ502ζ18+2ζ30+2ζ38+2ζ50−2ζ2−2ζ26−2ζ42−2ζ662ζ2+2ζ26+2ζ42+2ζ662ζ2+2ζ26+2ζ42+2ζ66−2ζ6−2ζ10−2ζ58−2ζ622ζ6+2ζ10+2ζ58+2ζ622ζ6+2ζ10+2ζ58+2ζ622ζ14+2ζ22+2ζ46+2ζ542ζ18+2ζ30+2ζ38+2ζ502ζ2+2ζ26+2ζ42+2ζ662ζ6+2ζ10+2ζ58+2ζ6200000002ζ14−2ζ22−2ζ46+2ζ54−2ζ14+2ζ22+2ζ46−2ζ542ζ18−2ζ30−2ζ38+2ζ50−2ζ18+2ζ30+2ζ38−2ζ50−2ζ2+2ζ26+2ζ42−2ζ662ζ2−2ζ26−2ζ42+2ζ662ζ6−2ζ10−2ζ58+2ζ62−2ζ6+2ζ10+2ζ58−2ζ62000000000000000000000000000000000000000000000000000000000000000000000
χ1208-8-88-88−2ζ14−2ζ22−2ζ46−2ζ54−2ζ18−2ζ30−2ζ38−2ζ50−2ζ2−2ζ26−2ζ42−2ζ66−2ζ6−2ζ10−2ζ58−2ζ622ζ14+2ζ22+2ζ46+2ζ54−2ζ14−2ζ22−2ζ46−2ζ54−2ζ14−2ζ22−2ζ46−2ζ542ζ18+2ζ30+2ζ38+2ζ50−2ζ18−2ζ30−2ζ38−2ζ50−2ζ18−2ζ30−2ζ38−2ζ502ζ2+2ζ26+2ζ42+2ζ66−2ζ2−2ζ26−2ζ42−2ζ66−2ζ2−2ζ26−2ζ42−2ζ662ζ6+2ζ10+2ζ58+2ζ62−2ζ6−2ζ10−2ζ58−2ζ62−2ζ6−2ζ10−2ζ58−2ζ62−2ζ14−2ζ22−2ζ46−2ζ542ζ14+2ζ22+2ζ46+2ζ542ζ14+2ζ22+2ζ46+2ζ54−2ζ18−2ζ30−2ζ38−2ζ502ζ18+2ζ30+2ζ38+2ζ502ζ18+2ζ30+2ζ38+2ζ50−2ζ2−2ζ26−2ζ42−2ζ662ζ2+2ζ26+2ζ42+2ζ662ζ2+2ζ26+2ζ42+2ζ66−2ζ6−2ζ10−2ζ58−2ζ622ζ6+2ζ10+2ζ58+2ζ622ζ6+2ζ10+2ζ58+2ζ622ζ14+2ζ22+2ζ46+2ζ542ζ18+2ζ30+2ζ38+2ζ502ζ2+2ζ26+2ζ42+2ζ662ζ6+2ζ10+2ζ58+2ζ620000000−2ζ14+2ζ22+2ζ46−2ζ542ζ14−2ζ22−2ζ46+2ζ54−2ζ18+2ζ30+2ζ38−2ζ502ζ18−2ζ30−2ζ38+2ζ502ζ2−2ζ26−2ζ42+2ζ66−2ζ2+2ζ26+2ζ42−2ζ66−2ζ6+2ζ10+2ζ58−2ζ622ζ6−2ζ10−2ζ58+2ζ62000000000000000000000000000000000000000000000000000000000000000000000
χ1218-8-88-88−2ζ2−2ζ26−2ζ42−2ζ66−2ζ14−2ζ22−2ζ46−2ζ54−2ζ6−2ζ10−2ζ58−2ζ62−2ζ18−2ζ30−2ζ38−2ζ502ζ2+2ζ26+2ζ42+2ζ66−2ζ2−2ζ26−2ζ42−2ζ66−2ζ2−2ζ26−2ζ42−2ζ662ζ14+2ζ22+2ζ46+2ζ54−2ζ14−2ζ22−2ζ46−2ζ54−2ζ14−2ζ22−2ζ46−2ζ542ζ6+2ζ10+2ζ58+2ζ62−2ζ6−2ζ10−2ζ58−2ζ62−2ζ6−2ζ10−2ζ58−2ζ622ζ18+2ζ30+2ζ38+2ζ50−2ζ18−2ζ30−2ζ38−2ζ50−2ζ18−2ζ30−2ζ38−2ζ50−2ζ2−2ζ26−2ζ42−2ζ662ζ2+2ζ26+2ζ42+2ζ662ζ2+2ζ26+2ζ42+2ζ66−2ζ14−2ζ22−2ζ46−2ζ542ζ14+2ζ22+2ζ46+2ζ542ζ14+2ζ22+2ζ46+2ζ54−2ζ6−2ζ10−2ζ58−2ζ622ζ6+2ζ10+2ζ58+2ζ622ζ6+2ζ10+2ζ58+2ζ62−2ζ18−2ζ30−2ζ38−2ζ502ζ18+2ζ30+2ζ38+2ζ502ζ18+2ζ30+2ζ38+2ζ502ζ2+2ζ26+2ζ42+2ζ662ζ14+2ζ22+2ζ46+2ζ542ζ6+2ζ10+2ζ58+2ζ622ζ18+2ζ30+2ζ38+2ζ5000000002ζ2−2ζ26−2ζ42+2ζ66−2ζ2+2ζ26+2ζ42−2ζ66−2ζ14+2ζ22+2ζ46−2ζ542ζ14−2ζ22−2ζ46+2ζ542ζ6−2ζ10−2ζ58+2ζ62−2ζ6+2ζ10+2ζ58−2ζ62−2ζ18+2ζ30+2ζ38−2ζ502ζ18−2ζ30−2ζ38+2ζ50000000000000000000000000000000000000000000000000000000000000000000000
χ1228-8-88-88−2ζ2−2ζ26−2ζ42−2ζ66−2ζ14−2ζ22−2ζ46−2ζ54−2ζ6−2ζ10−2ζ58−2ζ62−2ζ18−2ζ30−2ζ38−2ζ502ζ2+2ζ26+2ζ42+2ζ66−2ζ2−2ζ26−2ζ42−2ζ66−2ζ2−2ζ26−2ζ42−2ζ662ζ14+2ζ22+2ζ46+2ζ54−2ζ14−2ζ22−2ζ46−2ζ54−2ζ14−2ζ22−2ζ46−2ζ542ζ6+2ζ10+2ζ58+2ζ62−2ζ6−2ζ10−2ζ58−2ζ62−2ζ6−2ζ10−2ζ58−2ζ622ζ18+2ζ30+2ζ38+2ζ50−2ζ18−2ζ30−2ζ38−2ζ50−2ζ18−2ζ30−2ζ38−2ζ50−2ζ2−2ζ26−2ζ42−2ζ662ζ2+2ζ26+2ζ42+2ζ662ζ2+2ζ26+2ζ42+2ζ66−2ζ14−2ζ22−2ζ46−2ζ542ζ14+2ζ22+2ζ46+2ζ542ζ14+2ζ22+2ζ46+2ζ54−2ζ6−2ζ10−2ζ58−2ζ622ζ6+2ζ10+2ζ58+2ζ622ζ6+2ζ10+2ζ58+2ζ62−2ζ18−2ζ30−2ζ38−2ζ502ζ18+2ζ30+2ζ38+2ζ502ζ18+2ζ30+2ζ38+2ζ502ζ2+2ζ26+2ζ42+2ζ662ζ14+2ζ22+2ζ46+2ζ542ζ6+2ζ10+2ζ58+2ζ622ζ18+2ζ30+2ζ38+2ζ500000000−2ζ2+2ζ26+2ζ42−2ζ662ζ2−2ζ26−2ζ42+2ζ662ζ14−2ζ22−2ζ46+2ζ54−2ζ14+2ζ22+2ζ46−2ζ54−2ζ6+2ζ10+2ζ58−2ζ622ζ6−2ζ10−2ζ58+2ζ622ζ18−2ζ30−2ζ38+2ζ50−2ζ18+2ζ30+2ζ38−2ζ50000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 68 (ζ68 = 1); i = ζ17.