Finite Group Databasebeta

← Group #17961932

Character table — Group #17961932

Order 4352.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size112444444444444488888888888888816161616161616161616161616161616161616161616161616161616161616161617173232323232323232323232323468686868686868686868686868136136136136136136136272272272272272
order12222444171717173434343422434343434686868686868686883434343434343434343434343434343468686868686868686868686868686868223434343413613613613613613613613622244444444444224444444448
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11
χ31111111111111111111111111111111111111111111111111111111111111111-1-1111111111111-1-1-1-1-1-1iiii−i−i−i−i-1-1-1ii−i−iii−i−i-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1111111111111-1-1-1-1-1-1−i−i−i−iiiii-1-1-1−i−iii−i−iii-1
χ511111111111111111-1-1111111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111111111111-1-11111-1-1-1-1-1
χ611111111111111111-1-1111111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1
χ711111111111111111-1-1111111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-111ii−i−i−i−iii1
χ811111111111111111-1-1111111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-111−i−iiiii−i−i1
χ911111-1-1111111111-111111111111111-1111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1111-11-11-11-1-1
χ1011111-1-1111111111-111111111111111-1111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-111-11-11-11-11-1
χ1111111-1-1111111111-111111111111111-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii1-1-1i−i−iii−i−ii1
χ1211111-1-1111111111-111111111111111-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i1-1-1−iii−i−iii−i1
χ1311111-1-1111111111-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-111-1-111-1-1-1-1-11-11-1-11-111
χ1411111-1-1111111111-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-11-111-11-11
χ1511111-1-1111111111-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111ii−i−i−i−iii111i−i−ii−iii−i-1
χ1611111-1-1111111111-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111−i−iiiii−i−i111−iii−ii−i−ii-1
χ172222-200-2222222220002222-2-2-2-2-2-2-2-202222-2-2-2-20000000000000000000000002200000000000022-2-200002200220000-20-200000
χ182222-200-2222222220002222-2-2-2-2-2-2-2-202222-2-2-2-20000000000000000000000002200000000000022-2-20000-2-200-2-2000020200000
χ192222-200-2222222220002222-2-2-2-2-2-2-2-202222-2-2-2-2000000000000000000000000-2-2000000000000-2-22200002i2i00−2i−2i0000−2i02i00000
χ202222-200-2222222220002222-2-2-2-2-2-2-2-202222-2-2-2-2000000000000000000000000-2-2000000000000-2-2220000−2i−2i002i2i00002i0−2i00000
χ21222-2200-2222222220002222-2-2-2-2-2-2-2-20-2-2-2-22222000000000000000000000000220000000000002-22-20022002200000-20-2000000
χ22222-2200-2222222220002222-2-2-2-2-2-2-2-20-2-2-2-22222000000000000000000000000220000000000002-22-200-2-200-2-200000202000000
χ23222-2200-2222222220002222-2-2-2-2-2-2-2-20-2-2-2-22222000000000000000000000000-2-2000000000000-22-22002i2i00−2i−2i00000−2i02i000000
χ24222-2200-2222222220002222-2-2-2-2-2-2-2-20-2-2-2-22222000000000000000000000000-2-2000000000000-22-2200−2i−2i002i2i000002i0−2i000000
χ25222-2-222222222222-2002222222222220-2-2-2-2-2-2-2-200000000000000002222222222-2-2-2-2000000002-2-222200000000-200000000000
χ26222-2-222222222222-2002222222222220-2-2-2-2-2-2-2-2000000000000000022222222-2-2-2-2-2-200000000-222-2-2-200000000200000000000
χ27222-2-2-2-22222222222002222222222220-2-2-2-2-2-2-2-20000000000000000-2-2-2-2-2-2-2-2222222000000002-2-22-2-200000000200000000000
χ28222-2-2-2-22222222222002222222222220-2-2-2-2-2-2-2-20000000000000000-2-2-2-2-2-2-2-2-2-2222200000000-222-22200000000-200000000000
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χ3144444444−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−ζ54444−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−ζ544−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−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−ζ5400−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−ζ5400000000000000000000000000
χ3244444444−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−ζ544-4-4−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−ζ54-4−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−ζ54ζ6+ζ10+ζ58+ζ62ζ6+ζ10+ζ58+ζ62ζ2+ζ26+ζ42+ζ66ζ2+ζ26+ζ42+ζ66ζ18+ζ30+ζ38+ζ50ζ18+ζ30+ζ38+ζ50ζ14+ζ22+ζ46+ζ54ζ14+ζ22+ζ46+ζ54ζ6+ζ10+ζ58+ζ62ζ6+ζ10+ζ58+ζ62ζ2+ζ26+ζ42+ζ66ζ2+ζ26+ζ42+ζ66ζ18+ζ30+ζ38+ζ50ζ18+ζ30+ζ38+ζ50ζ14+ζ22+ζ46+ζ54ζ14+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−ζ5400−ζ6−ζ10−ζ58−ζ62−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ14−ζ22−ζ46−ζ54ζ6+ζ10+ζ58+ζ62ζ6+ζ10+ζ58+ζ62ζ2+ζ26+ζ42+ζ66ζ2+ζ26+ζ42+ζ66ζ18+ζ30+ζ38+ζ50ζ18+ζ30+ζ38+ζ50ζ14+ζ22+ζ46+ζ54ζ14+ζ22+ζ46+ζ5400000000000000000000000000
χ3344444444−ζ14−ζ22−ζ46−ζ54−ζ18−ζ30−ζ38−ζ50−ζ2−ζ26−ζ42−ζ66−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ18−ζ30−ζ38−ζ50−ζ2−ζ26−ζ42−ζ66−ζ6−ζ10−ζ58−ζ62444−ζ14−ζ22−ζ46−ζ54−ζ18−ζ30−ζ38−ζ50−ζ2−ζ26−ζ42−ζ66−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ14−ζ22−ζ46−ζ54−ζ18−ζ30−ζ38−ζ50−ζ18−ζ30−ζ38−ζ50−ζ2−ζ26−ζ42−ζ66−ζ2−ζ26−ζ42−ζ66−ζ6−ζ10−ζ58−ζ62−ζ6−ζ10−ζ58−ζ624−ζ14−ζ22−ζ46−ζ54−ζ18−ζ30−ζ38−ζ50−ζ2−ζ26−ζ42−ζ66−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ18−ζ30−ζ38−ζ50−ζ2−ζ26−ζ42−ζ66−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ14−ζ22−ζ46−ζ54−ζ18−ζ30−ζ38−ζ50−ζ18−ζ30−ζ38−ζ50−ζ2−ζ26−ζ42−ζ66−ζ2−ζ26−ζ42−ζ66−ζ6−ζ10−ζ58−ζ62−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ14−ζ22−ζ46−ζ54−ζ18−ζ30−ζ38−ζ50−ζ18−ζ30−ζ38−ζ50−ζ2−ζ26−ζ42−ζ66−ζ2−ζ26−ζ42−ζ66−ζ6−ζ10−ζ58−ζ62−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ14−ζ22−ζ46−ζ54−ζ18−ζ30−ζ38−ζ50−ζ18−ζ30−ζ38−ζ50−ζ2−ζ26−ζ42−ζ66−ζ2−ζ26−ζ42−ζ66−ζ6−ζ10−ζ58−ζ62−ζ6−ζ10−ζ58−ζ6200−ζ14−ζ22−ζ46−ζ54−ζ18−ζ30−ζ38−ζ50−ζ2−ζ26−ζ42−ζ66−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ14−ζ22−ζ46−ζ54−ζ18−ζ30−ζ38−ζ50−ζ18−ζ30−ζ38−ζ50−ζ2−ζ26−ζ42−ζ66−ζ2−ζ26−ζ42−ζ66−ζ6−ζ10−ζ58−ζ62−ζ6−ζ10−ζ58−ζ6200000000000000000000000000
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Here ζ is a primitive root of unity of order 68 (ζ68 = 1); i = ζ17.