Finite Group Databasebeta

← Group #17955492

Character table — Group #17955492

Order 4352.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137
size1111224444444444444444444444444444444444444488161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616343434343434686868686868686868686868686868686868686868136136272272272272272
order122222224444171717173434343434343434343434343434343434343434343434343434343444434343434343434346868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868682244442224444444444444444442248888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1ii−i−i
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1−i−iii
χ511111111111111111111111111111111111111111111-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111111111111111111111111111-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i111−i−iii
χ811111111111111111111111111111111111111111111-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii111ii−i−i
χ9111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-11-11-1
χ10111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11-11
χ11111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-11i−i−ii
χ12111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-11−iii−i
χ13111111-1-1-1-11111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11-11-11
χ14111111-1-1-1-11111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-11-1
χ15111111-1-1-1-11111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11-1−iii−i
χ16111111-1-1-1-11111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11-1i−i−ii
χ1722222222-2-2-2-22222222222222222222222222222222200022222222-2-2-2-2-2-2-2-20000000000000000-2-2-2-2-2-2-2-2000000000000000022-2-2-2-2222-2-200000000000000000000000
χ1822222222-2-2-2-22222222222222222222222222222222200022222222-2-2-2-2-2-2-2-20000000000000000-2-2-2-2-2-2-2-20000000000000000-2-22222-2-2-22200000000000000000000000
χ19222222-2-222-2-222222222222222222222222222222222000-2-2-2-2-2-2-2-2222222220000000000000000-2-2-2-2-2-2-2-2000000000000000022-2-2-2-22-2-22200000000000000000000000
χ20222222-2-222-2-222222222222222222222222222222222000-2-2-2-2-2-2-2-2222222220000000000000000-2-2-2-2-2-2-2-20000000000000000-2-22222-222-2-200000000000000000000000
χ212222-2-200002-222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222000000000000000000000000000000000002222-2-2-2-200000000000000002222-2-2-20000000022-2-2000022-2-20000000
χ222222-2-200002-222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222000000000000000000000000000000000002222-2-2-2-200000000000000002222-2-2-200000000-2-2220000-2-2220000000
χ232222-2-200002-222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222000000000000000000000000000000000002222-2-2-2-20000000000000000-2-2-2-2222000000002i2i−2i−2i0000−2i−2i2i2i0000000
χ242222-2-200002-222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222000000000000000000000000000000000002222-2-2-2-20000000000000000-2-2-2-222200000000−2i−2i2i2i00002i2i−2i−2i0000000
χ252222-2-20000-2222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2222200000000000000000000000000000000000-2-2-2-22222000000000000000022-2-222-2000022-2-2000022-2-200000000000
χ262222-2-20000-2222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2222200000000000000000000000000000000000-2-2-2-22222000000000000000022-2-222-20000-2-2220000-2-22200000000000
χ272222-2-20000-2222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2222200000000000000000000000000000000000-2-2-2-222220000000000000000-2-222-2-2200002i2i−2i−2i0000−2i−2i2i2i00000000000
χ282222-2-20000-2222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2222200000000000000000000000000000000000-2-2-2-222220000000000000000-2-222-2-220000−2i−2i2i2i00002i2i−2i−2i00000000000
χ2922-2-22-2002i−2i0022222222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2000000000002i2i2i2i−2i−2i−2i−2i0000000000000000000000000000000000000000002i−2i2i−2i02-2001+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i0000000
χ3022-2-22-2002i−2i0022222222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2000000000002i2i2i2i−2i−2i−2i−2i0000000000000000000000000000000000000000002i−2i2i−2i02-200−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000000
χ3122-2-22-2002i−2i0022222222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2000000000002i2i2i2i−2i−2i−2i−2i000000000000000000000000000000000000000000−2i2i−2i2i0-22001−i−1+i1−i−1+i−1−i1+i−1−i1+i1+i−1−i1+i−1−i−1+i1−i−1+i1−i0000000
χ3222-2-22-2002i−2i0022222222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2000000000002i2i2i2i−2i−2i−2i−2i000000000000000000000000000000000000000000−2i2i−2i2i0-2200−1+i1−i−1+i1−i1+i−1−i1+i−1−i−1−i1+i−1−i1+i1−i−1+i1−i−1+i0000000
χ3322-2-22-200−2i2i0022222222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-200000000000−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000000000000000002i−2i2i−2i0-22001+i−1−i1+i−1−i−1+i1−i−1+i1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i0000000
χ3422-2-22-200−2i2i0022222222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-200000000000−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000000000000000002i−2i2i−2i0-2200−1−i1+i−1−i1+i1−i−1+i1−i−1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i0000000
χ3522-2-22-200−2i2i0022222222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-200000000000−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000000000000000−2i2i−2i2i02-2001−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i0000000
χ3622-2-22-200−2i2i0022222222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-200000000000−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000000000000000−2i2i−2i2i02-200−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000000
χ3722-2-2-222-200002222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20002222-2-2-2-2000000000000000000000000000000000000000000000000002i−2i−2i2i0002i−2i1−i−1+i−1+i1−i1−i−1+i−1+i1−i1+i−1−i−1−i1+i1+i−1−i−1−i1+i0000000
χ3822-2-2-222-200002222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20002222-2-2-2-2000000000000000000000000000000000000000000000000002i−2i−2i2i0002i−2i−1+i1−i1−i−1+i−1+i1−i1−i−1+i−1−i1+i1+i−1−i−1−i1+i1+i−1−i0000000
χ3922-2-2-222-200002222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20002222-2-2-2-200000000000000000000000000000000000000000000000000−2i2i2i−2i000−2i2i1+i−1−i−1−i1+i1+i−1−i−1−i1+i1−i−1+i−1+i1−i1−i−1+i−1+i1−i0000000
χ4022-2-2-222-200002222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20002222-2-2-2-200000000000000000000000000000000000000000000000000−2i2i2i−2i000−2i2i−1−i1+i1+i−1−i−1−i1+i1+i−1−i−1+i1−i1−i−1+i−1+i1−i1−i−1+i0000000
χ4122-2-2-22-2200002222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000-2-2-2-22222000000000000000000000000000000000000000000000000002i−2i−2i2i000−2i2i1−i−1+i−1+i1−i−1+i1−i1−i−1+i1+i−1−i−1−i1+i−1−i1+i1+i−1−i0000000
χ4222-2-2-22-2200002222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000-2-2-2-22222000000000000000000000000000000000000000000000000002i−2i−2i2i000−2i2i−1+i1−i1−i−1+i1−i−1+i−1+i1−i−1−i1+i1+i−1−i1+i−1−i−1−i1+i0000000
χ4322-2-2-22-2200002222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000-2-2-2-2222200000000000000000000000000000000000000000000000000−2i2i2i−2i0002i−2i1+i−1−i−1−i1+i−1−i1+i1+i−1−i1−i−1+i−1+i1−i−1+i1−i1−i−1+i0000000
χ4422-2-2-22-2200002222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000-2-2-2-2222200000000000000000000000000000000000000000000000000−2i2i2i−2i0002i−2i−1−i1+i1+i−1−i1+i−1−i−1−i1+i−1+i1−i1−i−1+i1−i−1+i−1+i1−i0000000
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χ1368-8-8800000000−2ζ2−2ζ26−2ζ42−2ζ66−2ζ14−2ζ22−2ζ46−2ζ54−2ζ6−2ζ10−2ζ58−2ζ62−2ζ18−2ζ30−2ζ38−2ζ502ζ2+2ζ26+2ζ42+2ζ662ζ14+2ζ22+2ζ46+2ζ542ζ6+2ζ10+2ζ58+2ζ622ζ18+2ζ30+2ζ38+2ζ50−2ζ2+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+2ζ38−2ζ502ζ2+2ζ26+2ζ42+2ζ662ζ14+2ζ22+2ζ46+2ζ542ζ6+2ζ10+2ζ58+2ζ622ζ18+2ζ30+2ζ38+2ζ502ζ2−2ζ26−2ζ42+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+2ζ50−2ζ2−2ζ26−2ζ42−2ζ66−2ζ14−2ζ22−2ζ46−2ζ54−2ζ6−2ζ10−2ζ58−2ζ62−2ζ18−2ζ30−2ζ38−2ζ504-400000000000000000000000000000000000000000−2ζ2−2ζ662ζ2+2ζ66−2ζ26−2ζ422ζ26+2ζ42−2ζ22−2ζ462ζ22+2ζ46−2ζ14−2ζ542ζ14+2ζ54−2ζ6−2ζ622ζ6+2ζ62−2ζ10−2ζ582ζ10+2ζ58−2ζ30−2ζ382ζ30+2ζ38−2ζ18−2ζ502ζ18+2ζ500000000000000000000000000000000000
χ1378-8-8800000000−2ζ2−2ζ26−2ζ42−2ζ66−2ζ14−2ζ22−2ζ46−2ζ54−2ζ6−2ζ10−2ζ58−2ζ62−2ζ18−2ζ30−2ζ38−2ζ502ζ2+2ζ26+2ζ42+2ζ662ζ14+2ζ22+2ζ46+2ζ542ζ6+2ζ10+2ζ58+2ζ622ζ18+2ζ30+2ζ38+2ζ50−2ζ2+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+2ζ38−2ζ502ζ2+2ζ26+2ζ42+2ζ662ζ14+2ζ22+2ζ46+2ζ542ζ6+2ζ10+2ζ58+2ζ622ζ18+2ζ30+2ζ38+2ζ502ζ2−2ζ26−2ζ42+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+2ζ50−2ζ2−2ζ26−2ζ42−2ζ66−2ζ14−2ζ22−2ζ46−2ζ54−2ζ6−2ζ10−2ζ58−2ζ62−2ζ18−2ζ30−2ζ38−2ζ50-44000000000000000000000000000000000000000002ζ2+2ζ66−2ζ2−2ζ662ζ26+2ζ42−2ζ26−2ζ422ζ22+2ζ46−2ζ22−2ζ462ζ14+2ζ54−2ζ14−2ζ542ζ6+2ζ62−2ζ6−2ζ622ζ10+2ζ58−2ζ10−2ζ582ζ30+2ζ38−2ζ30−2ζ382ζ18+2ζ50−2ζ18−2ζ500000000000000000000000000000000000

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