Finite Group Databasebeta

← Group #10800515

Character table — Group #10800515

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111111112222222222222222222222222222222222224444444444444444444444444444888888888888888888888888121212121212121212121212121212122424242424242424
order122244442234444444444444444446661212121212121212121212124444661212121212121212121212121212121212121212121224446688881212121212122424242424242424224444444444444424448888
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
χ5111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ7111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ91111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-111-111-1-1
χ101111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-11-1-111
χ111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11-1-11-1-111
χ121111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-111-111-1-1
χ131111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-1-1-111
χ141111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-1111-1-1
χ151111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1111-1-1
χ161111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-1-111
χ171111-1-1-1-1-1-11111111-1-1-1-1iiii−i−i−i−i1111111-1-1-1-1-1-1-1-1ii−i−i-1-11111-1-1iiii−i−i−i−iiiii−i−i−i−i1-11-111i−ii−i-1-111-1-1ii−i−iii−i−i1-11-111-1-1ii−i−iii−i−i11-1-1i−ii−i
χ181111-1-1-1-1-1-11111111-1-1-1-1iiii−i−i−i−i1111111-1-1-1-1-1-1-1-1ii−i−i-1-11111-1-1iiii−i−i−i−iiiii−i−i−i−i1-11-111i−ii−i-1-111-1-1ii−i−iii−i−i-11-11-1-111−i−iii−i−iii-1-111−ii−ii
χ191111-1-1-1-1-1-11111111-1-1-1-1iiii−i−i−i−i1111111-1-1-1-1-1-1-1-1ii−i−i-1-11111-1-1iiii−i−i−i−iiiii−i−i−i−i-11-11-1-1−ii−ii11-1-111−i−iii−i−iii1-11-111-1-1ii−i−iii−i−i-1-111−ii−ii
χ201111-1-1-1-1-1-11111111-1-1-1-1iiii−i−i−i−i1111111-1-1-1-1-1-1-1-1ii−i−i-1-11111-1-1iiii−i−i−i−iiiii−i−i−i−i-11-11-1-1−ii−ii11-1-111−i−iii−i−iii-11-11-1-111−i−iii−i−iii11-1-1i−ii−i
χ211111-1-1-1-1-1-11111111-1-1-1-1−i−i−i−iiiii1111111-1-1-1-1-1-1-1-1−i−iii-1-11111-1-1−i−i−i−iiiii−i−i−i−iiiii1-11-111−ii−ii-1-111-1-1−i−iii−i−iii1-11-111-1-1−i−iii−i−iii11-1-1−ii−ii
χ221111-1-1-1-1-1-11111111-1-1-1-1−i−i−i−iiiii1111111-1-1-1-1-1-1-1-1−i−iii-1-11111-1-1−i−i−i−iiiii−i−i−i−iiiii1-11-111−ii−ii-1-111-1-1−i−iii−i−iii-11-11-1-111ii−i−iii−i−i-1-111i−ii−i
χ231111-1-1-1-1-1-11111111-1-1-1-1−i−i−i−iiiii1111111-1-1-1-1-1-1-1-1−i−iii-1-11111-1-1−i−i−i−iiiii−i−i−i−iiiii-11-11-1-1i−ii−i11-1-111ii−i−iii−i−i1-11-111-1-1−i−iii−i−iii-1-111i−ii−i
χ241111-1-1-1-1-1-11111111-1-1-1-1−i−i−i−iiiii1111111-1-1-1-1-1-1-1-1−i−iii-1-11111-1-1−i−i−i−iiiii−i−i−i−iiiii-11-11-1-1i−ii−i11-1-111ii−i−iii−i−i-11-11-1-111ii−i−iii−i−i11-1-1−ii−ii
χ251111-1-1-1-1-1-1111-1-1-1-11111iiii−i−i−i−i111-1-1-1-11111-1-1-1-1−i−iii-1-111-1-111iiii−i−i−i−i−i−i−i−iiiii1-1-1111i−i−ii-1-1-1-111ii−i−i−i−iii1-11-1-1-111ii−i−i−i−iii-11-11i−i−ii
χ261111-1-1-1-1-1-1111-1-1-1-11111iiii−i−i−i−i111-1-1-1-11111-1-1-1-1−i−iii-1-111-1-111iiii−i−i−i−i−i−i−i−iiiii1-1-1111i−i−ii-1-1-1-111ii−i−i−i−iii-11-1111-1-1−i−iiiii−i−i1-11-1−iii−i
χ271111-1-1-1-1-1-1111-1-1-1-11111iiii−i−i−i−i111-1-1-1-11111-1-1-1-1−i−iii-1-111-1-111iiii−i−i−i−i−i−i−i−iiiii-111-1-1-1−iii−i1111-1-1−i−iiiii−i−i1-11-1-1-111ii−i−i−i−iii1-11-1−iii−i
χ281111-1-1-1-1-1-1111-1-1-1-11111iiii−i−i−i−i111-1-1-1-11111-1-1-1-1−i−iii-1-111-1-111iiii−i−i−i−i−i−i−i−iiiii-111-1-1-1−iii−i1111-1-1−i−iiiii−i−i-11-1111-1-1−i−iiiii−i−i-11-11i−i−ii
χ291111-1-1-1-1-1-1111-1-1-1-11111−i−i−i−iiiii111-1-1-1-11111-1-1-1-1ii−i−i-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i1-1-1111−iii−i-1-1-1-111−i−iiiii−i−i1-11-1-1-111−i−iiiii−i−i-11-11−iii−i
χ301111-1-1-1-1-1-1111-1-1-1-11111−i−i−i−iiiii111-1-1-1-11111-1-1-1-1ii−i−i-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i1-1-1111−iii−i-1-1-1-111−i−iiiii−i−i-11-1111-1-1ii−i−i−i−iii1-11-1i−i−ii
χ311111-1-1-1-1-1-1111-1-1-1-11111−i−i−i−iiiii111-1-1-1-11111-1-1-1-1ii−i−i-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i-111-1-1-1i−i−ii1111-1-1ii−i−i−i−iii1-11-1-1-111−i−iiiii−i−i1-11-1i−i−ii
χ321111-1-1-1-1-1-1111-1-1-1-11111−i−i−i−iiiii111-1-1-1-11111-1-1-1-1ii−i−i-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i-111-1-1-1i−i−ii1111-1-1ii−i−i−i−iii-11-1111-1-1ii−i−i−i−iii-11-11−iii−i
χ332222222222-1222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ342222222222-1222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211-2-2-2-211111111111111000000000000000000000000
χ352222222222-12222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-111111111111111112222-1-1-2-2-2-2-1-1-1-1-1-111111111000000000000000000000000
χ362222222222-12222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2112222111111-1-1-1-1-1-1-1-1000000000000000000000000
χ372222222222-122-2-2-2-2-2-2-2-222222222-1-1-111111111-1-1-1-1-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-11111111122-2-2-1-122-2-2-1-11111-1-1-1-11111000000000000000000000000
χ382222222222-122-2-2-2-2-2-2-2-222222222-1-1-111111111-1-1-1-1-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-111111111-2-22211-2-22211-1-1-1-11111-1-1-1-1000000000000000000000000
χ392222222222-122-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-111111111-1-1-1-12222-1-1-1-1111111111111-1-1-1-1-1-1-1-122-2-2-1-1-2-222-1-111111111-1-1-1-1000000000000000000000000
χ402222222222-122-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-111111111-1-1-1-12222-1-1-1-1111111111111-1-1-1-1-1-1-1-1-2-2221122-2-211-1-1-1-1-1-1-1-11111000000000000000000000000
χ4122222222-2-22-2-222-2-222-2-2000000002222222222222220000-2-2-2-2-2-2-2-200000000000000000000000000000000000000002-2-222-22-20000000000000000
χ4222222222-2-22-2-222-2-222-2-2000000002222222222222220000-2-2-2-2-2-2-2-20000000000000000000000000000000000000000-222-2-22-220000000000000000
χ4322222222-2-22-2-2-2-222-2-22200000000222-2-2-2-2-2-2-2-222220000-2-2-2-2222200000000000000000000000000000000000000002-2-22-22-220000000000000000
χ4422222222-2-22-2-2-2-222-2-22200000000222-2-2-2-2-2-2-2-222220000-2-2-2-222220000000000000000000000000000000000000000-222-22-22-20000000000000000
χ452222-2-2-2-2222-2-222-2-2-2-222000000002222222-2-2-2-2-2-2-2-2000022-2-2-2-222000000000000000000000000000000000000000022-2-22-2-220000000000000000
χ462222-2-2-2-2222-2-222-2-2-2-222000000002222222-2-2-2-2-2-2-2-2000022-2-2-2-2220000000000000000000000000000000000000000-2-222-222-20000000000000000
χ472222-2-2-2-2222-2-2-2-22222-2-200000000222-2-2-2-22222-2-2-2-2000022-2-222-2-2000000000000000000000000000000000000000022-2-2-222-20000000000000000
χ482222-2-2-2-2222-2-2-2-22222-2-200000000222-2-2-2-22222-2-2-2-2000022-2-222-2-20000000000000000000000000000000000000000-2-2222-2-220000000000000000
χ492222-2-2-2-2-2-2-1222222-2-2-2-22i2i2i2i−2i−2i−2i−2i-1-1-1-1-1-1-1111111112i2i−2i−2i11-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii2-22-2-1-12i−2i2i−2i11-1-111−i−iii−i−iii000000000000000000000000
χ502222-2-2-2-2-2-2-1222222-2-2-2-22i2i2i2i−2i−2i−2i−2i-1-1-1-1-1-1-1111111112i2i−2i−2i11-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii-22-2211−2i2i−2i2i-1-111-1-1ii−i−iii−i−i000000000000000000000000
χ512222-2-2-2-2-2-2-1222222-2-2-2-2−2i−2i−2i−2i2i2i2i2i-1-1-1-1-1-1-111111111−2i−2i2i2i11-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i2-22-2-1-1−2i2i−2i2i11-1-111ii−i−iii−i−i000000000000000000000000
χ522222-2-2-2-2-2-2-1222222-2-2-2-2−2i−2i−2i−2i2i2i2i2i-1-1-1-1-1-1-111111111−2i−2i2i2i11-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i-22-22112i−2i2i−2i-1-111-1-1−i−iii−i−iii000000000000000000000000
χ532222-2-2-2-2-2-2-122-2-2-2-222222i2i2i2i−2i−2i−2i−2i-1-1-11111-1-1-1-11111−2i−2i2i2i11-1-111-1-1−i−i−i−iiiiiiiii−i−i−i−i2-2-22-1-12i−2i−2i2i1111-1-1−i−iiiii−i−i000000000000000000000000
χ542222-2-2-2-2-2-2-122-2-2-2-222222i2i2i2i−2i−2i−2i−2i-1-1-11111-1-1-1-11111−2i−2i2i2i11-1-111-1-1−i−i−i−iiiiiiiii−i−i−i−i-222-211−2i2i2i−2i-1-1-1-111ii−i−i−i−iii000000000000000000000000
χ552222-2-2-2-2-2-2-122-2-2-2-22222−2i−2i−2i−2i2i2i2i2i-1-1-11111-1-1-1-111112i2i−2i−2i11-1-111-1-1iiii−i−i−i−i−i−i−i−iiiii2-2-22-1-1−2i2i2i−2i1111-1-1ii−i−i−i−iii000000000000000000000000
χ562222-2-2-2-2-2-2-122-2-2-2-22222−2i−2i−2i−2i2i2i2i2i-1-1-11111-1-1-1-111112i2i−2i−2i11-1-111-1-1iiii−i−i−i−i−i−i−i−iiiii-222-2112i−2i−2i2i-1-1-1-111−i−iiiii−i−i000000000000000000000000
χ5722-2-222-2-22-222-22i−2i2i−2i2i−2i2i−2i000000002-2-22i2i−2i−2i2i2i−2i−2i22-2-200002-22-22i−2i2i−2i0000000000000000000000000000000000000000000000002-22-22i−2i2i−2i00000000
χ5822-2-222-2-22-222-22i−2i2i−2i2i−2i2i−2i000000002-2-22i2i−2i−2i2i2i−2i−2i22-2-200002-22-22i−2i2i−2i000000000000000000000000000000000000000000000000-22-22−2i2i−2i2i00000000
χ5922-2-222-2-22-222-2−2i2i−2i2i−2i2i−2i2i000000002-2-2−2i−2i2i2i−2i−2i2i2i22-2-200002-22-2−2i2i−2i2i0000000000000000000000000000000000000000000000002-22-2−2i2i−2i2i00000000
χ6022-2-222-2-22-222-2−2i2i−2i2i−2i2i−2i2i000000002-2-2−2i−2i2i2i−2i−2i2i2i22-2-200002-22-2−2i2i−2i2i000000000000000000000000000000000000000000000000-22-222i−2i2i−2i00000000
χ6122-2-222-2-2-222-222i−2i−2i2i2i−2i−2i2i2i2i−2i−2i2i2i−2i−2i2-2-22i2i−2i−2i2i2i−2i−2i22-2-22-22-2-22-22−2i2i−2i2i2i2i−2i−2i2i2i−2i−2i22-2-222-2-2000000000000000000000000000000000000000000000000
χ6222-2-222-2-2-222-222i−2i−2i2i2i−2i−2i2i−2i−2i2i2i−2i−2i2i2i2-2-22i2i−2i−2i2i2i−2i−2i22-2-2-22-22-22-22−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i-2-222-2-222000000000000000000000000000000000000000000000000
χ6322-2-222-2-2-222-22−2i2i2i−2i−2i2i2i−2i2i2i−2i−2i2i2i−2i−2i2-2-2−2i−2i2i2i−2i−2i2i2i22-2-2-22-22-22-222i−2i2i−2i2i2i−2i−2i2i2i−2i−2i-2-222-2-222000000000000000000000000000000000000000000000000
χ6422-2-222-2-2-222-22−2i2i2i−2i−2i2i2i−2i−2i−2i2i2i−2i−2i2i2i2-2-2−2i−2i2i2i−2i−2i2i2i22-2-22-22-2-22-222i−2i2i−2i−2i−2i2i2i−2i−2i2i2i22-2-222-2-2000000000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.