Finite Group Databasebeta

← Group #14544969

Character table — Group #14544969

Order 2176.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100
size1111222222444444444444444488888888888888888888888888161616161616161616161616161616161717171734343434343434343434343434343434343434343434136136136136136136
order122244444417171717343434343434343434343434446868686868686868686868686868686868686868686868686868686868686868686868686868686844442244444444444444444444448888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1ii−i−i
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1−i−iii
χ511111111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1
χ611111111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11−i−iii
χ811111111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11ii−i−i
χ9111111-1-1-1-111111111111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-11-1
χ10111111-1-1-1-111111111111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-11-11
χ11111111-1-1-1-111111111111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-11i−i−ii
χ12111111-1-1-1-111111111111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-11−iii−i
χ13111111-1-1-1-11111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-11
χ14111111-1-1-1-11111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-11-1
χ15111111-1-1-1-11111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii1-1−iii−i
χ16111111-1-1-1-11111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1-1i−i−ii
χ172222-2-222-2-2222222222222222200-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000002222-2-2-2-2220000000000000000000000
χ182222-2-222-2-2222222222222222200-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000-2-2-2-22222-2-20000000000000000000000
χ192222-2-2-2-222222222222222222200-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-200000000000000002222-2-222-2-20000000000000000000000
χ202222-2-2-2-222222222222222222200-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-20000000000000000-2-2-2-222-2-2220000000000000000000000
χ2122-2-22-2000022222222-2-2-2-2-2-2-2-2002222-2-2-2-20000000000000000000000000000000022-2-22-20000000022-2-2000022-2-2000000
χ2222-2-22-2000022222222-2-2-2-2-2-2-2-2002222-2-2-2-20000000000000000000000000000000022-2-22-200000000-2-2220000-2-222000000
χ2322-2-22-2000022222222-2-2-2-2-2-2-2-2002222-2-2-2-200000000000000000000000000000000-2-222-22000000002i2i−2i−2i0000−2i−2i2i2i000000
χ2422-2-22-2000022222222-2-2-2-2-2-2-2-2002222-2-2-2-200000000000000000000000000000000-2-222-2200000000−2i−2i2i2i00002i2i−2i−2i000000
χ2522-2-2-22000022222222-2-2-2-2-2-2-2-200-2-2-2-222220000000000000000000000000000000022-2-2-22000022-2-2000022-2-20000000000
χ2622-2-2-22000022222222-2-2-2-2-2-2-2-200-2-2-2-222220000000000000000000000000000000022-2-2-220000-2-2220000-2-2220000000000
χ2722-2-2-22000022222222-2-2-2-2-2-2-2-200-2-2-2-2222200000000000000000000000000000000-2-2222-200002i2i−2i−2i0000−2i−2i2i2i0000000000
χ2822-2-2-22000022222222-2-2-2-2-2-2-2-200-2-2-2-2222200000000000000000000000000000000-2-2222-20000−2i−2i2i2i00002i2i−2i−2i0000000000
χ292-22-2002-2002222-2-2-2-2-2-2-2-222220000000000000000002222-2-2-2-200000000000000002i−2i2i−2i00002i−2i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i000000
χ302-22-2002-2002222-2-2-2-2-2-2-2-222220000000000000000002222-2-2-2-200000000000000002i−2i2i−2i00002i−2i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i000000
χ312-22-2002-2002222-2-2-2-2-2-2-2-222220000000000000000002222-2-2-2-20000000000000000−2i2i−2i2i0000−2i2i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i000000
χ322-22-2002-2002222-2-2-2-2-2-2-2-222220000000000000000002222-2-2-2-20000000000000000−2i2i−2i2i0000−2i2i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i000000
χ332-22-200-22002222-2-2-2-2-2-2-2-22222000000000000000000-2-2-2-2222200000000000000002i−2i2i−2i0000−2i2i1+i−1−i1+i−1−i−1−i1+i−1−i1+i1−i−1+i1−i−1+i−1+i1−i−1+i1−i000000
χ342-22-200-22002222-2-2-2-2-2-2-2-22222000000000000000000-2-2-2-2222200000000000000002i−2i2i−2i0000−2i2i−1−i1+i−1−i1+i1+i−1−i1+i−1−i−1+i1−i−1+i1−i1−i−1+i1−i−1+i000000
χ352-22-200-22002222-2-2-2-2-2-2-2-22222000000000000000000-2-2-2-222220000000000000000−2i2i−2i2i00002i−2i1−i−1+i1−i−1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i−1−i1+i−1−i1+i000000
χ362-22-200-22002222-2-2-2-2-2-2-2-22222000000000000000000-2-2-2-222220000000000000000−2i2i−2i2i00002i−2i−1+i1−i−1+i1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i1+i−1−i1+i−1−i000000
χ372-2-2200002-22222-2-2-2-22222-2-2-2-200000000002222-2-2-2-20000000000000000000000002i−2i−2i2i002i−2i001+i−1−i−1−i1+i1+i−1−i−1−i1+i1−i−1+i−1+i1−i1−i−1+i−1+i1−i000000
χ382-2-2200002-22222-2-2-2-22222-2-2-2-200000000002222-2-2-2-20000000000000000000000002i−2i−2i2i002i−2i00−1−i1+i1+i−1−i−1−i1+i1+i−1−i−1+i1−i1−i−1+i−1+i1−i1−i−1+i000000
χ392-2-2200002-22222-2-2-2-22222-2-2-2-200000000002222-2-2-2-2000000000000000000000000−2i2i2i−2i00−2i2i001−i−1+i−1+i1−i1−i−1+i−1+i1−i1+i−1−i−1−i1+i1+i−1−i−1−i1+i000000
χ402-2-2200002-22222-2-2-2-22222-2-2-2-200000000002222-2-2-2-2000000000000000000000000−2i2i2i−2i00−2i2i00−1+i1−i1−i−1+i−1+i1−i1−i−1+i−1−i1+i1+i−1−i−1−i1+i1+i−1−i000000
χ412-2-220000-222222-2-2-2-22222-2-2-2-20000000000-2-2-2-222220000000000000000000000002i−2i−2i2i00−2i2i001+i−1−i−1−i1+i−1−i1+i1+i−1−i1−i−1+i−1+i1−i−1+i1−i1−i−1+i000000
χ422-2-220000-222222-2-2-2-22222-2-2-2-20000000000-2-2-2-222220000000000000000000000002i−2i−2i2i00−2i2i00−1−i1+i1+i−1−i1+i−1−i−1−i1+i−1+i1−i1−i−1+i1−i−1+i−1+i1−i000000
χ432-2-220000-222222-2-2-2-22222-2-2-2-20000000000-2-2-2-22222000000000000000000000000−2i2i2i−2i002i−2i001−i−1+i−1+i1−i−1+i1−i1−i−1+i1+i−1−i−1−i1+i−1−i1+i1+i−1−i000000
χ442-2-220000-222222-2-2-2-22222-2-2-2-20000000000-2-2-2-22222000000000000000000000000−2i2i2i−2i002i−2i00−1+i1−i1−i−1+i1−i−1+i−1+i1−i−1−i1+i1+i−1−i1+i−1−i−1−i1+i000000
χ454444444444−ζ18−ζ30−ζ38−ζ50−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ2−ζ26−ζ42−ζ6644−ζ18−ζ30−ζ38−ζ50−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ18−ζ30−ζ38−ζ50−ζ6−ζ10−ζ58−ζ62−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ14−ζ22−ζ46−ζ54−ζ2−ζ26−ζ42−ζ66−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ18−ζ30−ζ38−ζ50−ζ6−ζ10−ζ58−ζ62−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ14−ζ22−ζ46−ζ54−ζ2−ζ26−ζ42−ζ66−ζ2−ζ26−ζ42−ζ6600000000000000000000000000000000
χ464444444444−ζ18−ζ30−ζ38−ζ50−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ2−ζ26−ζ42−ζ66-4-4−ζ18−ζ30−ζ38−ζ50−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ2−ζ26−ζ42−ζ66ζ18+ζ30+ζ38+ζ50ζ18+ζ30+ζ38+ζ50ζ6+ζ10+ζ58+ζ62ζ6+ζ10+ζ58+ζ62ζ14+ζ22+ζ46+ζ54ζ14+ζ22+ζ46+ζ54ζ2+ζ26+ζ42+ζ66ζ2+ζ26+ζ42+ζ66ζ18+ζ30+ζ38+ζ50ζ18+ζ30+ζ38+ζ50ζ6+ζ10+ζ58+ζ62ζ6+ζ10+ζ58+ζ62ζ14+ζ22+ζ46+ζ54ζ14+ζ22+ζ46+ζ54ζ2+ζ26+ζ42+ζ66ζ2+ζ26+ζ42+ζ6600000000000000000000000000000000
χ474444444444−ζ6−ζ10−ζ58−ζ62−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ14−ζ22−ζ46−ζ54−ζ6−ζ10−ζ58−ζ62−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ14−ζ22−ζ46−ζ54−ζ6−ζ10−ζ58−ζ62−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ14−ζ22−ζ46−ζ54−ζ6−ζ10−ζ58−ζ62−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ14−ζ22−ζ46−ζ5444−ζ6−ζ10−ζ58−ζ62−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ14−ζ22−ζ46−ζ54−ζ6−ζ10−ζ58−ζ62−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ14−ζ22−ζ46−ζ54−ζ6−ζ10−ζ58−ζ62−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ14−ζ22−ζ46−ζ54−ζ6−ζ10−ζ58−ζ62−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ14−ζ22−ζ46−ζ54−ζ6−ζ10−ζ58−ζ62−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ14−ζ22−ζ46−ζ54−ζ6−ζ10−ζ58−ζ62−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ14−ζ22−ζ46−ζ54−ζ6−ζ10−ζ58−ζ62−ζ6−ζ10−ζ58−ζ62−ζ2−ζ26−ζ42−ζ66−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ18−ζ30−ζ38−ζ50−ζ14−ζ22−ζ46−ζ54−ζ14−ζ22−ζ46−ζ54−ζ6−ζ10−ζ58−ζ62−ζ6−ζ10−ζ58−ζ62−ζ2−ζ26−ζ42−ζ66−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ18−ζ30−ζ38−ζ50−ζ14−ζ22−ζ46−ζ54−ζ14−ζ22−ζ46−ζ5400000000000000000000000000000000
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Here ζ is a primitive root of unity of order 68 (ζ68 = 1); i = ζ17.