Finite Group Databasebeta

← Group #10762164

Character table — Group #10762164

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11111111222222222222222222222222222222224444444444444444444444444444444444444466666666888888888888888888881212121212121212121212122424242424242424
order122244443444444446668888888812121212121212121212121222244466888888881212121212122424242424242424242424242424242444444444446688121212121212242424242424242422448888888844448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-11-1-111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111-1-11-1-111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ711111111111111111111-1-1-1-1-1-1-1-11111111111111-1-11-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ811111111111111111111-1-1-1-1-1-1-1-11111111111111-1-11-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1
χ911111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-11111-111-111-1-11111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11-11-11111-1-1-1-111-1-111-1-1
χ1011111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-11111-111-111-1-11111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-1-11-11-1-1-1-11111-1-111-1-111
χ1111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-111111-11-11111-1-1-1-1-1-111-1-111
χ1211111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-11111-11-11-1-1-1-1111111-1-111-1-1
χ1311111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-11-1-1-1-1-1111111-1-1-1-111
χ1411111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111-11-111111-1-1-1-1-1-11111-1-1
χ1511111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11-11-1-1-1-1-11111-1-11111-1-1
χ1611111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-11-111111-1-1-1-111-1-1-1-111
χ171111-1-1-1-111111-1-1-1-1111iiii−i−i−i−i1111-1-1-1-1-1-1-1-1111-1-1-111ii−i−iii−i−i11-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-11-111i−i-1-111-1-1ii−i−iii−i−i1-1-11ii−i−iii−i−i1-11-1i−ii−i
χ181111-1-1-1-111111-1-1-1-1111iiii−i−i−i−i1111-1-1-1-1-1-1-1-1111-1-1-111ii−i−iii−i−i11-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-1111-111i−i-1-111-1-1ii−i−iii−i−i-111-1−i−iii−i−iii-11-11−ii−ii
χ191111-1-1-1-111111-1-1-1-1111iiii−i−i−i−i1111-1-1-1-1-1-1-1-11-1-1-11111−i−iiiii−i−i11-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1-11-1-1−ii11-1-111−i−iii−i−iii1-1-11ii−i−iii−i−i-11-11−ii−ii
χ201111-1-1-1-111111-1-1-1-1111iiii−i−i−i−i1111-1-1-1-1-1-1-1-11-1-1-11111−i−iiiii−i−i11-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-111-11-1-1−ii11-1-111−i−iii−i−iii-111-1−i−iii−i−iii1-11-1i−ii−i
χ211111-1-1-1-111111-1-1-1-1111−i−i−i−iiiii1111-1-1-1-1-1-1-1-1111-1-1-111−i−iii−i−iii11-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-11-111−ii-1-111-1-1−i−iii−i−iii1-1-11−i−iii−i−iii1-11-1−ii−ii
χ221111-1-1-1-111111-1-1-1-1111−i−i−i−iiiii1111-1-1-1-1-1-1-1-1111-1-1-111−i−iii−i−iii11-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-1111-111−ii-1-111-1-1−i−iii−i−iii-111-1ii−i−iii−i−i-11-11i−ii−i
χ231111-1-1-1-111111-1-1-1-1111−i−i−i−iiiii1111-1-1-1-1-1-1-1-11-1-1-11111ii−i−i−i−iii11-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1-11-1-1i−i11-1-111ii−i−iii−i−i1-1-11−i−iii−i−iii-11-11i−ii−i
χ241111-1-1-1-111111-1-1-1-1111−i−i−i−iiiii1111-1-1-1-1-1-1-1-11-1-1-11111ii−i−i−i−iii11-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111-11-1-1i−i11-1-111ii−i−iii−i−i-111-1ii−i−iii−i−i1-11-1−ii−ii
χ251111-1-1-1-1111-1-111-1-1111iiii−i−i−i−i-1-1-1-11111-1-1-1-1-1111-1-1-1-1ii−i−i−i−iii1111-1-1iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111-1111−ii-1-1-1-111ii−i−i−i−iii11-1-1ii−i−i−i−iii1-1-11i−i−ii
χ261111-1-1-1-1111-1-111-1-1111iiii−i−i−i−i-1-1-1-11111-1-1-1-1-1111-1-1-1-1ii−i−i−i−iii1111-1-1iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1-1111−ii-1-1-1-111ii−i−i−i−iii-1-111−i−iiiii−i−i-111-1−iii−i
χ271111-1-1-1-1111-1-111-1-1111iiii−i−i−i−i-1-1-1-11111-1-1-1-1-1-1-1111-1-1−i−iii−i−iii1111-1-1iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-1111-1-1-1i−i1111-1-1−i−iiiii−i−i11-1-1ii−i−i−i−iii-111-1−iii−i
χ281111-1-1-1-1111-1-111-1-1111iiii−i−i−i−i-1-1-1-11111-1-1-1-1-1-1-1111-1-1−i−iii−i−iii1111-1-1iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-11-1-1-1i−i1111-1-1−i−iiiii−i−i-1-111−i−iiiii−i−i1-1-11i−i−ii
χ291111-1-1-1-1111-1-111-1-1111−i−i−i−iiiii-1-1-1-11111-1-1-1-1-1111-1-1-1-1−i−iiiii−i−i1111-1-1−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111-1111i−i-1-1-1-111−i−iiiii−i−i11-1-1−i−iiiii−i−i1-1-11−iii−i
χ301111-1-1-1-1111-1-111-1-1111−i−i−i−iiiii-1-1-1-11111-1-1-1-1-1111-1-1-1-1−i−iiiii−i−i1111-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1-1111i−i-1-1-1-111−i−iiiii−i−i-1-111ii−i−i−i−iii-111-1i−i−ii
χ311111-1-1-1-1111-1-111-1-1111−i−i−i−iiiii-1-1-1-11111-1-1-1-1-1-1-1111-1-1ii−i−iii−i−i1111-1-1−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-1111-1-1-1−ii1111-1-1ii−i−i−i−iii11-1-1−i−iiiii−i−i-111-1i−i−ii
χ321111-1-1-1-1111-1-111-1-1111−i−i−i−iiiii-1-1-1-11111-1-1-1-1-1-1-1111-1-1ii−i−iii−i−i1111-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-11-1-1-1−ii1111-1-1ii−i−i−i−iii-1-111ii−i−i−i−iii1-1-11−iii−i
χ33222222222-2-22222-2-222200000000222222222222-200-200-2-200000000-2-2-2-2-2-200000000000000002222222200000000000000000000-2-2-2-20000000000000000
χ34222222222-2-22222-2-222200000000222222222222-200-200-2-200000000-2-2-2-2-2-20000000000000000-2-2-2-2-2-2-2-20000000000000000000022220000000000000000
χ35222222222-2-2-2-2-2-2-2-222200000000-2-2-2-2-2-2-2-222222002002200000000-2-222-2-200000000000000002222-2-2-2-200000000000000000000-22-220000000000000000
χ36222222222-2-2-2-2-2-2-2-222200000000-2-2-2-2-2-2-2-222222002002200000000-2-222-2-20000000000000000-2-2-2-22222000000000000000000002-22-20000000000000000
χ3722222222-122222222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000022-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ3822222222-122222222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-12-2-22-2-2-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-211-2-21111111111111100000000000000000000
χ3922222222-122222222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-111111111111111110000000022-1-1-2-2-1-1-1-1-1-11111111100000000000000000000
χ4022222222-122222222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-12-2-22-2-2-1-12222-2-2-2-2-1-1-1-1-1-1111111111111111100000000-2-21122111111-1-1-1-1-1-1-1-100000000000000000000
χ4122222222-122-2-2-2-222-1-1-12222222211111111-1-1-1-1-222-222112222-2-2-2-2-1-111-1-1-1-1-1-1-1-1-1-11111111100000000-2-2-1-1-2-2-1-11111-1-1-1-1111100000000000000000000
χ4222222222-122-2-2-2-222-1-1-12222222211111111-1-1-1-1-2-2-2-2-2-211-2-2-2-2-2-2-2-2-1-111-1-1-1-1-1-1-1-1-1-1111111110000000022112211-1-1-1-11111-1-1-1-100000000000000000000
χ4322222222-122-2-2-2-222-1-1-1-2-2-2-2-2-2-2-211111111-1-1-1-1-222-22211-2-2-2-22222-1-111-1-111111111-1-1-1-1-1-1-1-100000000-2-2-1-122-1-111111111-1-1-1-100000000000000000000
χ4422222222-122-2-2-2-222-1-1-1-2-2-2-2-2-2-2-211111111-1-1-1-1-2-2-2-2-2-21122222222-1-111-1-111111111-1-1-1-1-1-1-1-1000000002211-2-211-1-1-1-1-1-1-1-1111100000000000000000000
χ452222-2-2-2-22-2-222-2-222222000000002222-2-2-2-2-2-2-2-2-200200-2-200000000-2-22222000000000000000022-2-222-2-200000000000000000000-222-20000000000000000
χ462222-2-2-2-22-2-222-2-222222000000002222-2-2-2-2-2-2-2-2-200200-2-200000000-2-222220000000000000000-2-222-2-222000000000000000000002-2-220000000000000000
χ472222-2-2-2-22-2-2-2-2222222200000000-2-2-2-22222-2-2-2-2200-2002200000000-2-2-2-222000000000000000022-2-2-2-22200000000000000000000-2-2220000000000000000
χ482222-2-2-2-22-2-2-2-2222222200000000-2-2-2-22222-2-2-2-2200-2002200000000-2-2-2-2220000000000000000-2-22222-2-20000000000000000000022-2-20000000000000000
χ492222-2-2-2-2-12222-2-2-2-2-1-1-12i2i2i2i−2i−2i−2i−2i-1-1-1-111111111222-2-2-2-1-12i2i−2i−2i2i2i−2i−2i-1-11111−i−i−i−iiiii−i−i−i−iiiii000000002-2-1-12i−2i11-1-111−i−iii−i−iii00000000000000000000
χ502222-2-2-2-2-12222-2-2-2-2-1-1-12i2i2i2i−2i−2i−2i−2i-1-1-1-1111111112-2-2-222-1-1−2i−2i2i2i2i2i−2i−2i-1-11111−i−i−i−iiiii−i−i−i−iiiii00000000-2211−2i2i-1-111-1-1ii−i−iii−i−i00000000000000000000
χ512222-2-2-2-2-12222-2-2-2-2-1-1-1−2i−2i−2i−2i2i2i2i2i-1-1-1-111111111222-2-2-2-1-1−2i−2i2i2i−2i−2i2i2i-1-11111iiii−i−i−i−iiiii−i−i−i−i000000002-2-1-1−2i2i11-1-111ii−i−iii−i−i00000000000000000000
χ522222-2-2-2-2-12222-2-2-2-2-1-1-1−2i−2i−2i−2i2i2i2i2i-1-1-1-1111111112-2-2-222-1-12i2i−2i−2i−2i−2i2i2i-1-11111iiii−i−i−i−iiiii−i−i−i−i00000000-22112i−2i-1-111-1-1−i−iii−i−iii00000000000000000000
χ532222-2-2-2-2-122-2-222-2-2-1-1-12i2i2i2i−2i−2i−2i−2i1111-1-1-1-11111-2222-2-2112i2i−2i−2i−2i−2i2i2i-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i00000000-22-1-1−2i2i1111-1-1−i−iiiii−i−i00000000000000000000
χ542222-2-2-2-2-122-2-222-2-2-1-1-12i2i2i2i−2i−2i−2i−2i1111-1-1-1-11111-2-2-222211−2i−2i2i2i−2i−2i2i2i-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i000000002-2112i−2i-1-1-1-111ii−i−i−i−iii00000000000000000000
χ552222-2-2-2-2-122-2-222-2-2-1-1-1−2i−2i−2i−2i2i2i2i2i1111-1-1-1-11111-2222-2-211−2i−2i2i2i2i2i−2i−2i-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii00000000-22-1-12i−2i1111-1-1ii−i−i−i−iii00000000000000000000
χ562222-2-2-2-2-122-2-222-2-2-1-1-1−2i−2i−2i−2i2i2i2i2i1111-1-1-1-11111-2-2-2222112i2i−2i−2i2i2i−2i−2i-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii000000002-211−2i2i-1-1-1-111−i−iiiii−i−i00000000000000000000
χ572-22-22i−2i2i−2i2002i−2i2-2002-2-21+i1+i−1−i−1−i1−i1−i−1+i−1+i2i2i−2i−2i22-2-22i2i−2i−2i0000000000001−i−1+i1+i−1−i0000001+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i2i−2i2-22-22i−2i0000000000000000000000001−i−1+i1+i−1−i1+i−1−i1−i−1+i00000000
χ582-22-22i−2i2i−2i2002i−2i2-2002-2-21+i1+i−1−i−1−i1−i1−i−1+i−1+i2i2i−2i−2i22-2-22i2i−2i−2i0000000000001−i−1+i1+i−1−i0000001+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i−2i2i-22-22−2i2i000000000000000000000000−1+i1−i−1−i1+i−1−i1+i−1+i1−i00000000
χ592-22-22i−2i2i−2i2002i−2i2-2002-2-2−1−i−1−i1+i1+i−1+i−1+i1−i1−i2i2i−2i−2i22-2-22i2i−2i−2i000000000000−1+i1−i−1−i1+i000000−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i2i−2i2-22-22i−2i000000000000000000000000−1+i1−i−1−i1+i−1−i1+i−1+i1−i00000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.