Finite Group Databasebeta

← Group #10762163

Character table — Group #10762163

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11111111222222222222222222222222444444444444444444444444444444444466666666888888881212121212121212121212121212121212121212161616161616161624242424
order122244443444444446668888888812121212246688881212121212121212121224242424242424242424242424242424222244442244888822444444888888888888661212242424244488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ611111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-1111111-1-1
χ911111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-11-11-111-1-11111-1-11111111111-1-1-1-11-11-111-1-1-1-1-1-1
χ1011111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-1-11-11-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-1-1111111
χ1111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1111-11-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111-11-111-1-11111
χ1211111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-11-11-1-11111-1-111111111-1-1-1-11111-11-11-1-111-1-1-1-1
χ1311111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-11-11-1-1-1111111-1-111-1-1-1-1-1-1-1-111111-11-1-1-111-1-111
χ1411111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-1-11-1111-1-1-1-111-1-1-1-11111-1-1-1-11111-11-1111-1-111-1-1
χ1511111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1111-11-1-1-111-1-1-1-111-1-111111111-1-1-1-11-11-1-1-11111-1-1
χ1611111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-111-11-1111-1-111-1-11111-1-1-1-11111-1-1-1-1-11-1111-1-1-1-111
χ171111-1-1-1-111111-1-1-1-1111iiii−i−i−i−i-1-1-1-11-111ii−i−i1111-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1-1-1111-1-11i−ii−i111-11-1-1-1ii−i−iii−i−iii−i−i1-1-11i−ii−i1-1i−i
χ181111-1-1-1-111111-1-1-1-1111iiii−i−i−i−i-1-1-1-11-111ii−i−i1111-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1-1-111-111-1−ii−ii-1-11-11-111−i−iiiii−i−iii−i−i-111-1−ii−ii-11−ii
χ191111-1-1-1-111111-1-1-1-1111iiii−i−i−i−i-1-1-1-11-111ii−i−i1111-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-11111-1-11-1-11i−ii−i-1-1-11-1111−i−iii−i−iii−i−iii1-1-11i−ii−i-11−ii
χ201111-1-1-1-111111-1-1-1-1111iiii−i−i−i−i-1-1-1-11-111ii−i−i1111-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-11111-1-1-111-1−ii−ii11-11-11-1-1ii−i−i−i−iii−i−iii-111-1−ii−ii1-1i−i
χ211111-1-1-1-111111-1-1-1-1111−i−i−i−iiiii-1-1-1-11-111−i−iii1111-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-1111-1-11−ii−ii111-11-1-1-1−i−iii−i−iii−i−iii1-1-11−ii−ii1-1−ii
χ221111-1-1-1-111111-1-1-1-1111−i−i−i−iiiii-1-1-1-11-111−i−iii1111-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-111-111-1i−ii−i-1-11-11-111ii−i−i−i−iii−i−iii-111-1i−ii−i-11i−i
χ231111-1-1-1-111111-1-1-1-1111−i−i−i−iiiii-1-1-1-11-111−i−iii1111-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-11111-1-11-1-11−ii−ii-1-1-11-1111ii−i−iii−i−iii−i−i1-1-11−ii−ii-11i−i
χ241111-1-1-1-111111-1-1-1-1111−i−i−i−iiiii-1-1-1-11-111−i−iii1111-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-11111-1-1-111-1i−ii−i11-11-11-1-1−i−iiiii−i−iii−i−i-111-1i−ii−i1-1−ii
χ251111-1-1-1-1111-1-111-1-1111iiii−i−i−i−i-1-1-1-1-11-1-1−i−iii11-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-111-1-1i−i−ii111-1-11-1-1ii−i−iii−i−i−i−iii11-1-1i−i−ii-11−ii
χ261111-1-1-1-1111-1-111-1-1111iiii−i−i−i−i-1-1-1-1-11-1-1−i−iii11-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-111−iii−i-1-11-1-1111−i−iiiii−i−i−i−iii-1-111−iii−i1-1i−i
χ271111-1-1-1-1111-1-111-1-1111iiii−i−i−i−i-1-1-1-1-11-1-1−i−iii11-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii-1-1-1-1111111-1-1i−i−ii-1-1-111-111−i−iii−i−iiiii−i−i11-1-1i−i−ii1-1i−i
χ281111-1-1-1-1111-1-111-1-1111iiii−i−i−i−i-1-1-1-1-11-1-1−i−iii11-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111-1-111−iii−i11-111-1-1-1ii−i−i−i−iiiii−i−i-1-111−iii−i-11−ii
χ291111-1-1-1-1111-1-111-1-1111−i−i−i−iiiii-1-1-1-1-11-1-1ii−i−i11-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-111-1-1−iii−i111-1-11-1-1−i−iii−i−iiiii−i−i11-1-1−iii−i-11i−i
χ301111-1-1-1-1111-1-111-1-1111−i−i−i−iiiii-1-1-1-1-11-1-1ii−i−i11-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-111i−i−ii-1-11-1-1111ii−i−i−i−iiiii−i−i-1-111i−i−ii1-1−ii
χ311111-1-1-1-1111-1-111-1-1111−i−i−i−iiiii-1-1-1-1-11-1-1ii−i−i11-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-1111111-1-1−iii−i-1-1-111-111ii−i−iii−i−i−i−iii11-1-1−iii−i1-1−ii
χ321111-1-1-1-1111-1-111-1-1111−i−i−i−iiiii-1-1-1-1-11-1-1ii−i−i11-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111-1-111i−i−ii11-111-1-1-1−i−iiiii−i−i−i−iii-1-111i−i−ii-11i−i
χ33222222222-2-22222-2-2222000000002222-2-2-2-20000-2-22222-2-2-2-20000000000000000222222220000000000-2-2-2-200000000000000000000000000
χ34222222222-2-22222-2-2222000000002222-2-2-2-20000-2-22222-2-2-2-20000000000000000-2-2-2-2-2-2-2-20000000000222200000000000000000000000000
χ35222222222-2-2-2-2-2-2-2-222200000000222222220000-2-2-2-2-2-222-2-2000000000000000022-2-222-2-20000000000-2-22200000000000000000000000000
χ36222222222-2-2-2-2-2-2-2-222200000000222222220000-2-2-2-2-2-222-2-20000000000000000-2-222-2-222000000000022-2-200000000000000000000000000
χ3722222222-122222222-1-1-122222222-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000002222222200000000000000000000-1-1-1-1-1-1-1-10000
χ3822222222-122222222-1-1-122222222-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2-2-2-2-200000000000000000000111111110000
χ3922222222-122222222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-122-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-11111111111111111000000002222-2-2-2-200000000000000000000-1-1-1-111110000
χ4022222222-122222222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-122-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1111111111111111100000000-2-2-2-22222000000000000000000001111-1-1-1-10000
χ4122222222-122-2-2-2-222-1-1-122222222-1-1-1-1-2-211-2-2-2-2-1-1111111-1-1-1-1-1-1-1-1-1-111111111000000002-22-222-2-200000000000000000000-11-11-1-1110000
χ4222222222-122-2-2-2-222-1-1-122222222-1-1-1-1-2-211-2-2-2-2-1-1111111-1-1-1-1-1-1-1-1-1-11111111100000000-22-22-2-222000000000000000000001-11-111-1-10000
χ4322222222-122-2-2-2-222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-2-2112222-1-1111111-1-111111111-1-1-1-1-1-1-1-1000000002-22-2-2-22200000000000000000000-11-1111-1-10000
χ4422222222-122-2-2-2-222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-2-2112222-1-1111111-1-111111111-1-1-1-1-1-1-1-100000000-22-2222-2-2000000000000000000001-11-1-1-1110000
χ452222-2-2-2-22-2-222-2-22222200000000-2-2-2-2-22-2-20000-2-222-2-22222000000000000000022-2-2-2-2220000000000-22-2200000000000000000000000000
χ462222-2-2-2-22-2-222-2-22222200000000-2-2-2-2-22-2-20000-2-222-2-222220000000000000000-2-22222-2-200000000002-22-200000000000000000000000000
χ472222-2-2-2-22-2-2-2-2222222200000000-2-2-2-22-2220000-2-2-2-222-2-22200000000000000002222-2-2-2-20000000000-222-200000000000000000000000000
χ482222-2-2-2-22-2-2-2-2222222200000000-2-2-2-22-2220000-2-2-2-222-2-2220000000000000000-2-2-2-2222200000000002-2-2200000000000000000000000000
χ492222-2-2-2-2-12222-2-2-2-2-1-1-12i2i2i2i−2i−2i−2i−2i11112-2-1-12i2i−2i−2i-1-1-1-1111111−i−i−i−iiiii−i−i−i−iiiii000000002-2-222i−2i2i−2i00000000000000000000-111-1−ii−ii0000
χ502222-2-2-2-2-12222-2-2-2-2-1-1-12i2i2i2i−2i−2i−2i−2i11112-2-1-12i2i−2i−2i-1-1-1-1111111−i−i−i−iiiii−i−i−i−iiiii00000000-222-2−2i2i−2i2i000000000000000000001-1-11i−ii−i0000
χ512222-2-2-2-2-12222-2-2-2-2-1-1-1−2i−2i−2i−2i2i2i2i2i11112-2-1-1−2i−2i2i2i-1-1-1-1111111iiii−i−i−i−iiiii−i−i−i−i000000002-2-22−2i2i−2i2i00000000000000000000-111-1i−ii−i0000
χ522222-2-2-2-2-12222-2-2-2-2-1-1-1−2i−2i−2i−2i2i2i2i2i11112-2-1-1−2i−2i2i2i-1-1-1-1111111iiii−i−i−i−iiiii−i−i−i−i00000000-222-22i−2i2i−2i000000000000000000001-1-11−ii−ii0000
χ532222-2-2-2-2-122-2-222-2-2-1-1-12i2i2i2i−2i−2i−2i−2i1111-2211−2i−2i2i2i-1-111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i0000000022-2-22i−2i−2i2i00000000000000000000-1-111−iii−i0000
χ542222-2-2-2-2-122-2-222-2-2-1-1-12i2i2i2i−2i−2i−2i−2i1111-2211−2i−2i2i2i-1-111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i00000000-2-222−2i2i2i−2i0000000000000000000011-1-1i−i−ii0000
χ552222-2-2-2-2-122-2-222-2-2-1-1-1−2i−2i−2i−2i2i2i2i2i1111-22112i2i−2i−2i-1-111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii0000000022-2-2−2i2i2i−2i00000000000000000000-1-111i−i−ii0000
χ562222-2-2-2-2-122-2-222-2-2-1-1-1−2i−2i−2i−2i2i2i2i2i1111-22112i2i−2i−2i-1-111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii00000000-2-2222i−2i−2i2i0000000000000000000011-1-1−iii−i0000
χ5722-2-22i−2i2i−2i2002i−2i2-2002-2-21+i1+i−1−i−1−i1−i1−i−1+i−1+i2i−2i2i−2i00001−i−1+i1+i−1−i002i−2i2-200001+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i2-22-22i−2i2i−2i000000000000000000001+i−1−i1−i−1+i1−i−1+i1+i−1−i000000000000
χ5822-2-22i−2i2i−2i2002i−2i2-2002-2-21+i1+i−1−i−1−i1−i1−i−1+i−1+i2i−2i2i−2i00001−i−1+i1+i−1−i002i−2i2-200001+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i-22-22−2i2i−2i2i00000000000000000000−1−i1+i−1+i1−i−1+i1−i−1−i1+i000000000000
χ5922-2-22i−2i2i−2i2002i−2i2-2002-2-2−1−i−1−i1+i1+i−1+i−1+i1−i1−i2i−2i2i−2i0000−1+i1−i−1−i1+i002i−2i2-20000−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i2-22-22i−2i2i−2i00000000000000000000−1−i1+i−1+i1−i−1+i1−i−1−i1+i000000000000
χ6022-2-22i−2i2i−2i2002i−2i2-2002-2-2−1−i−1−i1+i1+i−1+i−1+i1−i1−i2i−2i2i−2i0000−1+i1−i−1−i1+i002i−2i2-20000−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i-22-22−2i2i−2i2i000000000000000000001+i−1−i1−i−1+i1−i−1+i1+i−1−i000000000000
χ6122-2-22i−2i2i−2i200−2i2i-22002-2-21+i1+i−1−i−1−i1−i1−i−1+i−1+i2i−2i2i−2i0000−1+i1−i−1−i1+i00−2i2i-2200001+i1+i−1−i−1−i1−i1−i−1+i−1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i2-2-222i−2i−2i2i000000000000000000001+i−1−i1−i−1+i−1+i1−i−1−i1+i000000000000
χ6222-2-22i−2i2i−2i200−2i2i-22002-2-21+i1+i−1−i−1−i1−i1−i−1+i−1+i2i−2i2i−2i0000−1+i1−i−1−i1+i00−2i2i-2200001+i1+i−1−i−1−i1−i1−i−1+i−1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i-222-2−2i2i2i−2i00000000000000000000−1−i1+i−1+i1−i1−i−1+i1+i−1−i000000000000
χ6322-2-22i−2i2i−2i200−2i2i-22002-2-2−1−i−1−i1+i1+i−1+i−1+i1−i1−i2i−2i2i−2i00001−i−1+i1+i−1−i00−2i2i-220000−1−i−1−i1+i1+i−1+i−1+i1−i1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i2-2-222i−2i−2i2i00000000000000000000−1−i1+i−1+i1−i1−i−1+i1+i−1−i000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.