Finite Group Databasebeta

← Group #10804062

Character table — Group #10804062

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111111112222222222222222222222222222222222224444444444444444444444444444888888888888888888888888121212121212121212121212121212122424242424242424
order12224444223444444444466688888888121212122424242424242424668888121212121212121212122424242424242424242424244444888812121212121212122424242424242424444444448888888844448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-1
χ911111111111-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-111
χ1011111111111-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-1
χ1111111111111-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1
χ1211111111111-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111
χ1311111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ1411111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ1511111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ1611111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ171111-1-1-1-1-1-11iiii−i−i−i−i11111iiii−i−i−i−i-1-1-1-1iiii−i−i−i−i-1-111-1-11iiii−i−i−i−i1ii−i−i1111-1-1-1-11-11-1i−ii−i11-1-111-1-1ii−i−iii−i−i11-1-1ii−i−iii−i−i11-1-11-11-1i−ii−i
χ181111-1-1-1-1-1-11iiii−i−i−i−i11111iiii−i−i−i−i-1-1-1-1iiii−i−i−i−i-1-111-1-11iiii−i−i−i−i1ii−i−i1111-1-1-1-11-11-1i−ii−i11-1-111-1-1ii−i−iii−i−i-1-111−i−iii−i−iii-1-111-11-11−ii−ii
χ191111-1-1-1-1-1-11iiii−i−i−i−i11111iiii−i−i−i−i-1-1-1-1iiii−i−i−i−i-1-111-1-11iiii−i−i−i−i1ii−i−i1111-1-1-1-1-11-11−ii−ii-1-111-1-111−i−iii−i−iii11-1-1ii−i−iii−i−i11-1-1-11-11−ii−ii
χ201111-1-1-1-1-1-11iiii−i−i−i−i11111iiii−i−i−i−i-1-1-1-1iiii−i−i−i−i-1-111-1-11iiii−i−i−i−i1ii−i−i1111-1-1-1-1-11-11−ii−ii-1-111-1-111−i−iii−i−iii-1-111−i−iii−i−iii-1-1111-11-1i−ii−i
χ211111-1-1-1-1-1-11iiii−i−i−i−i11111−i−i−i−iiiii-1-1-1-1−i−i−i−iiiii-1-1-1-1111iiii−i−i−i−i1−i−iii-1-1-1-111111-1-11i−i−ii11-1-1-1-111ii−i−i−i−iii11-1-1ii−i−i−i−iii-1-1111-1-11i−i−ii
χ221111-1-1-1-1-1-11iiii−i−i−i−i11111−i−i−i−iiiii-1-1-1-1−i−i−i−iiiii-1-1-1-1111iiii−i−i−i−i1−i−iii-1-1-1-111111-1-11i−i−ii11-1-1-1-111ii−i−i−i−iii-1-111−i−iiiii−i−i11-1-1-111-1−iii−i
χ231111-1-1-1-1-1-11iiii−i−i−i−i11111−i−i−i−iiiii-1-1-1-1−i−i−i−iiiii-1-1-1-1111iiii−i−i−i−i1−i−iii-1-1-1-11111-111-1−iii−i-1-11111-1-1−i−iiiii−i−i11-1-1ii−i−i−i−iii-1-111-111-1−iii−i
χ241111-1-1-1-1-1-11iiii−i−i−i−i11111−i−i−i−iiiii-1-1-1-1−i−i−i−iiiii-1-1-1-1111iiii−i−i−i−i1−i−iii-1-1-1-11111-111-1−iii−i-1-11111-1-1−i−iiiii−i−i-1-111−i−iiiii−i−i11-1-11-1-11i−i−ii
χ251111-1-1-1-1-1-11−i−i−i−iiiii11111iiii−i−i−i−i-1-1-1-1iiii−i−i−i−i-1-1-1-1111−i−i−i−iiiii1ii−i−i-1-1-1-111111-1-11−iii−i11-1-1-1-111−i−iiiii−i−i11-1-1−i−iiiii−i−i-1-1111-1-11−iii−i
χ261111-1-1-1-1-1-11−i−i−i−iiiii11111iiii−i−i−i−i-1-1-1-1iiii−i−i−i−i-1-1-1-1111−i−i−i−iiiii1ii−i−i-1-1-1-111111-1-11−iii−i11-1-1-1-111−i−iiiii−i−i-1-111ii−i−i−i−iii11-1-1-111-1i−i−ii
χ271111-1-1-1-1-1-11−i−i−i−iiiii11111iiii−i−i−i−i-1-1-1-1iiii−i−i−i−i-1-1-1-1111−i−i−i−iiiii1ii−i−i-1-1-1-11111-111-1i−i−ii-1-11111-1-1ii−i−i−i−iii11-1-1−i−iiiii−i−i-1-111-111-1i−i−ii
χ281111-1-1-1-1-1-11−i−i−i−iiiii11111iiii−i−i−i−i-1-1-1-1iiii−i−i−i−i-1-1-1-1111−i−i−i−iiiii1ii−i−i-1-1-1-11111-111-1i−i−ii-1-11111-1-1ii−i−i−i−iii-1-111ii−i−i−i−iii11-1-11-1-11−iii−i
χ291111-1-1-1-1-1-11−i−i−i−iiiii11111−i−i−i−iiiii-1-1-1-1−i−i−i−iiiii-1-111-1-11−i−i−i−iiiii1−i−iii1111-1-1-1-11-11-1−ii−ii11-1-111-1-1−i−iii−i−iii11-1-1−i−iii−i−iii11-1-11-11-1−ii−ii
χ301111-1-1-1-1-1-11−i−i−i−iiiii11111−i−i−i−iiiii-1-1-1-1−i−i−i−iiiii-1-111-1-11−i−i−i−iiiii1−i−iii1111-1-1-1-11-11-1−ii−ii11-1-111-1-1−i−iii−i−iii-1-111ii−i−iii−i−i-1-111-11-11i−ii−i
χ311111-1-1-1-1-1-11−i−i−i−iiiii11111−i−i−i−iiiii-1-1-1-1−i−i−i−iiiii-1-111-1-11−i−i−i−iiiii1−i−iii1111-1-1-1-1-11-11i−ii−i-1-111-1-111ii−i−iii−i−i11-1-1−i−iii−i−iii11-1-1-11-11i−ii−i
χ321111-1-1-1-1-1-11−i−i−i−iiiii11111−i−i−i−iiiii-1-1-1-1−i−i−i−iiiii-1-111-1-11−i−i−i−iiiii1−i−iii1111-1-1-1-1-11-11i−ii−i-1-111-1-111ii−i−iii−i−i-1-111ii−i−iii−i−i-1-1111-11-1−ii−ii
χ332222222222-12222222222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ342222222222-12222222222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000000000000000
χ352222222222-12222222222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-111111111-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-111111111111122-2-222-2-2-1-1-1-11111-1-1-1-11111000000000000000000000000
χ362222222222-12222222222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-111111111-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1111111111111-2-222-2-2221111-1-1-1-11111-1-1-1-1000000000000000000000000
χ372222222222-1-2-2-2-2-2-2-2-222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-111111111-1-1-1-1-11111111122-2-2-2-222-1-1-1-111111111-1-1-1-1000000000000000000000000
χ382222222222-1-2-2-2-2-2-2-2-222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-111111111-1-1-1-1-111111111-2-22222-2-21111-1-1-1-1-1-1-1-11111000000000000000000000000
χ392222222222-1-2-2-2-2-2-2-2-222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-111111111-1-12222-111111111-11111-1-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000000000000000
χ402222222222-1-2-2-2-2-2-2-2-222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-111111111-1-12222-111111111-11111-1-1-1-1-1-1-1-1-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000000000000000
χ4122222222-2-2200000000-2-222222-2-222-2-2222222222222-2-20000-200000000-2-2-2-2-2000000000000000000000000000000002-22-200002-22-2000000000000
χ4222222222-2-2200000000-2-222222-2-222-2-2222222222222-2-20000-200000000-2-2-2-2-200000000000000000000000000000000-22-220000-22-22000000000000
χ4322222222-2-2200000000-2-2222-2-222-2-2222222-2-2-2-2-2-2-2-2-2-20000-200000000-22222000000000000000000000000000000002-22-20000-22-22000000000000
χ4422222222-2-2200000000-2-2222-2-222-2-2222222-2-2-2-2-2-2-2-2-2-20000-200000000-2222200000000000000000000000000000000-22-2200002-22-2000000000000
χ452222-2-2-2-222200000000-2-22222i2i−2i−2i−2i−2i2i2i-2-2-2-22i2i2i2i−2i−2i−2i−2i220000-200000000-2−2i−2i2i2i000000000000000000000000000000002-2-2200002i−2i−2i2i000000000000
χ462222-2-2-2-222200000000-2-22222i2i−2i−2i−2i−2i2i2i-2-2-2-22i2i2i2i−2i−2i−2i−2i220000-200000000-2−2i−2i2i2i00000000000000000000000000000000-222-20000−2i2i2i−2i000000000000
χ472222-2-2-2-222200000000-2-2222−2i−2i2i2i2i2i−2i−2i-2-2-2-2−2i−2i−2i−2i2i2i2i2i220000-200000000-22i2i−2i−2i000000000000000000000000000000002-2-220000−2i2i2i−2i000000000000
χ482222-2-2-2-222200000000-2-2222−2i−2i2i2i2i2i−2i−2i-2-2-2-2−2i−2i−2i−2i2i2i2i2i220000-200000000-22i2i−2i−2i00000000000000000000000000000000-222-200002i−2i−2i2i000000000000
χ492222-2-2-2-2-2-2-12i2i2i2i−2i−2i−2i−2i22-1-1-12i2i2i2i−2i−2i−2i−2i1111−i−i−i−iiiii1122-2-2-1−i−i−i−iiiii-1−i−iii-1-1-1-111112-22-22i−2i2i−2i-1-111-1-111−i−iii−i−iii000000000000000000000000
χ502222-2-2-2-2-2-2-12i2i2i2i−2i−2i−2i−2i22-1-1-12i2i2i2i−2i−2i−2i−2i1111−i−i−i−iiiii1122-2-2-1−i−i−i−iiiii-1−i−iii-1-1-1-11111-22-22−2i2i−2i2i11-1-111-1-1ii−i−iii−i−i000000000000000000000000
χ512222-2-2-2-2-2-2-12i2i2i2i−2i−2i−2i−2i22-1-1-1−2i−2i−2i−2i2i2i2i2i1111iiii−i−i−i−i11-2-222-1−i−i−i−iiiii-1ii−i−i1111-1-1-1-12-2-222i−2i−2i2i-1-11111-1-1−i−iiiii−i−i000000000000000000000000
χ522222-2-2-2-2-2-2-12i2i2i2i−2i−2i−2i−2i22-1-1-1−2i−2i−2i−2i2i2i2i2i1111iiii−i−i−i−i11-2-222-1−i−i−i−iiiii-1ii−i−i1111-1-1-1-1-222-2−2i2i2i−2i11-1-1-1-111ii−i−i−i−iii000000000000000000000000
χ532222-2-2-2-2-2-2-1−2i−2i−2i−2i2i2i2i2i22-1-1-12i2i2i2i−2i−2i−2i−2i1111−i−i−i−iiiii11-2-222-1iiii−i−i−i−i-1−i−iii1111-1-1-1-12-2-22−2i2i2i−2i-1-11111-1-1ii−i−i−i−iii000000000000000000000000
χ542222-2-2-2-2-2-2-1−2i−2i−2i−2i2i2i2i2i22-1-1-12i2i2i2i−2i−2i−2i−2i1111−i−i−i−iiiii11-2-222-1iiii−i−i−i−i-1−i−iii1111-1-1-1-1-222-22i−2i−2i2i11-1-1-1-111−i−iiiii−i−i000000000000000000000000
χ552222-2-2-2-2-2-2-1−2i−2i−2i−2i2i2i2i2i22-1-1-1−2i−2i−2i−2i2i2i2i2i1111iiii−i−i−i−i1122-2-2-1iiii−i−i−i−i-1ii−i−i-1-1-1-111112-22-2−2i2i−2i2i-1-111-1-111ii−i−iii−i−i000000000000000000000000
χ562222-2-2-2-2-2-2-1−2i−2i−2i−2i2i2i2i2i22-1-1-1−2i−2i−2i−2i2i2i2i2i1111iiii−i−i−i−i1122-2-2-1iiii−i−i−i−i-1ii−i−i-1-1-1-11111-22-222i−2i2i−2i11-1-111-1-1−i−iii−i−iii000000000000000000000000
χ5722-2-222-2-22-2222-2-222-2-22-22-2-22-22-22-22-222-2-222-2-222-2-2-222-22-2-222-2-222-2-222-22-222-2-222-2-2000000000000000000000000000000000000000000000000
χ5822-2-222-2-22-2222-2-222-2-22-22-2-2-22-22-22-2222-2-2-2-222-2-222-22-22-22-222-2-222-2-22-22-22-2-222-2-222000000000000000000000000000000000000000000000000
χ5922-2-222-2-22-22-2-222-2-2222-22-2-22-22-22-22-222-2-222-2-222-2-2-22-22-22-2-2-222-2-22222-22-2-2-222-2-222000000000000000000000000000000000000000000000000
χ6022-2-222-2-22-22-2-222-2-2222-22-2-2-22-22-22-2222-2-2-2-222-2-222-222-22-2-2-2-222-2-2222-22-2222-2-222-2-2000000000000000000000000000000000000000000000000
χ6122-2-222-2-22-2-122-2-222-2-22-2-1112-22-22-22-2-1-111-1-111-1-1111-12-22-21-1-111-1-111-1-11-11-1-111-1-111000000003−33−33−33−33−33−33−33−3000000000000000000000000
χ6222-2-222-2-22-2-122-2-222-2-22-2-1112-22-22-22-2-1-111-1-111-1-1111-12-22-21-1-111-1-111-1-11-11-1-111-1-11100000000−33−33−33−33−33−33−33−33000000000000000000000000
χ6322-2-222-2-22-2-122-2-222-2-22-2-111-22-22-22-22-1-11111-1-111-1-11-1-22-221-1-111-1-111-11-11-111-1-111-1-1000000003−33−3−33−333−33−3−33−33000000000000000000000000
χ6422-2-222-2-22-2-122-2-222-2-22-2-111-22-22-22-22-1-11111-1-111-1-11-1-22-221-1-111-1-111-11-11-111-1-111-1-100000000−33−333−33−3−33−333−33−3000000000000000000000000
χ6522-2-222-2-22-2-1-2-222-2-2222-2-1112-22-22-22-2-1-111-1-111-1-1111-1-22-22111-1-111-1-1-1-11-1111-1-111-1-1000000003−33−3−33−33−33−333−33−3000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.