Finite Group Databasebeta

← Group #11859502

Character table — Group #11859502

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size11111111222222222222222222223333333344444444444444444444444444446666666666666666666688888888888888881212121212121212121212121212121212121212121212121212121218181818181818182424242436363636
order1222444433444466666612121212121212128888888836668888121212121212121212121212242424242424242488888888888824242424242424241212121224242424242424242424242422224444666612121212242424242424242424242424224444446612128888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ71111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ91111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-11-11-11-11-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11-11-111-1-1
χ101111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-11111-1-1-1-11-1-111-1-1111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-11-11-1-111
χ111111111111-1-1-1-111111111111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-11-11-11-11-1-111-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-11-11-1-111
χ121111111111-1-1-1-111111111111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-11111-111-1-111-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111-11-111-1-1
χ131111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-111-1-111-1-1-111-1-11111111111-1-1-1-111-1-1-1-1111-11-1-1-111
χ141111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-11-11-11-11-1-111-1-1111111-1-1-1-11111-1-11111-1-1-11-1111-1-1
χ151111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-111-1-1111-1-111-1-111111111-1-1-1-111-1-1-1-111-11-1111-1-1
χ161111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-11-11-11-111-1-111-1-11111-1-1-1-11111-1-11111-1-11-11-1-1-111
χ171111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1iiii−i−i−i−i1111i−ii−i1111-1-1-1-1-1-1-1-1ii−i−iii−i−iii−i−iii−i−iii−i−iiiii−i−i−i−i11-1-1i−ii−iii−i−iii−i−i1111-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−i-1-111-1-11111-1-1i−ii−i
χ181111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1iiii−i−i−i−i1111i−ii−i1111-1-1-1-1-1-1-1-1ii−i−iii−i−iii−i−i−i−iii−i−iiiiiii−i−i−i−i11-1-1i−ii−iii−i−iii−i−i11-1-1-1-1111111-1-1-1-1ii−i−i−i−iii−i−iii11-1-111-1-1-1-111−ii−ii
χ191111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1iiii−i−i−i−i1111−ii−ii1111-1-1-1-1-1-1-1-1−i−iii−i−iiiii−i−iii−i−iii−i−iiiii−i−i−i−i11-1-1−ii−ii−i−iii−i−iii-1-1-1-11111-1-1-1-11111ii−i−iii−i−iii−i−i-1-111-1-111-1-111−ii−ii
χ201111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1iiii−i−i−i−i1111−ii−ii1111-1-1-1-1-1-1-1-1−i−iii−i−iiiii−i−i−i−iii−i−iiiiiii−i−i−i−i11-1-1−ii−ii−i−iii−i−iii-1-11111-1-1-1-1-1-11111ii−i−i−i−iii−i−iii11-1-111-1-111-1-1i−ii−i
χ211111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1−i−i−i−iiiii1111i−ii−i1111-1-1-1-1-1-1-1-1ii−i−iii−i−i−i−iiiii−i−iii−i−i−i−i−i−iiiii11-1-1i−ii−iii−i−iii−i−i-1-11111-1-1-1-1-1-11111−i−iiiii−i−iii−i−i11-1-111-1-111-1-1−ii−ii
χ221111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1−i−i−i−iiiii1111i−ii−i1111-1-1-1-1-1-1-1-1ii−i−iii−i−i−i−iii−i−iii−i−iii−i−i−i−iiiii11-1-1i−ii−iii−i−iii−i−i-1-1-1-11111-1-1-1-11111−i−iii−i−iii−i−iii-1-111-1-111-1-111i−ii−i
χ231111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1−i−i−i−iiiii1111−ii−ii1111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−iiiii−i−iii−i−i−i−i−i−iiiii11-1-1−ii−ii−i−iii−i−iii11-1-1-1-1111111-1-1-1-1−i−iiiii−i−iii−i−i11-1-111-1-1-1-111i−ii−i
χ241111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1−i−i−i−iiiii1111−ii−ii1111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−i−i−iiiii11-1-1−ii−ii−i−iii−i−iii1111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii-1-111-1-11111-1-1−ii−ii
χ251111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i1111i−i−ii-1-1-1-11111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i−i−iiiiiii−i−i−i−i-1-111i−i−iiii−i−i−i−iii1-11-1-11-1111-1-1-1-111−i−iiiii−i−i−i−iii1111-1-1-1-11-1-11i−i−ii
χ261111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i1111i−i−ii-1-1-1-11111-1-1-1-1ii−i−i−i−iii−i−iii−i−iiiii−i−iiiii−i−i−i−i-1-111i−i−iiii−i−i−i−iii1-1-11-111-111-1-1-1-111−i−iii−i−iiiii−i−i-1-1-1-11111-111-1−iii−i
χ271111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i1111−iii−i-1-1-1-11111-1-1-1-1−i−iiiii−i−i−i−iiiii−i−i−i−iiiiiii−i−i−i−i-1-111−iii−i−i−iiiii−i−i-11-111-11-1-1-11111-1-1−i−iiiii−i−i−i−iii1111-1-1-1-1-111-1−iii−i
χ281111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i1111−iii−i-1-1-1-11111-1-1-1-1−i−iiiii−i−i−i−iii−i−iiiii−i−iiiii−i−i−i−i-1-111−iii−i−i−iiiii−i−i-111-11-1-11-1-11111-1-1−i−iii−i−iiiii−i−i-1-1-1-111111-1-11i−i−ii
χ291111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii1111i−i−ii-1-1-1-11111-1-1-1-1ii−i−i−i−iiiii−i−iii−i−i−i−iii−i−i−i−iiiii-1-111i−i−iiii−i−i−i−iii-111-11-1-11-1-11111-1-1ii−i−iii−i−i−i−iii-1-1-1-111111-1-11−iii−i
χ301111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii1111i−i−ii-1-1-1-11111-1-1-1-1ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i−i−iiiii-1-111i−i−iiii−i−i−i−iii-11-111-11-1-1-11111-1-1ii−i−i−i−iiiii−i−i1111-1-1-1-1-111-1i−i−ii
χ311111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii1111−iii−i-1-1-1-11111-1-1-1-1−i−iiiii−i−iii−i−iii−i−i−i−iii−i−i−i−iiiii-1-111−iii−i−i−iiiii−i−i1-1-11-111-111-1-1-1-111ii−i−iii−i−i−i−iii-1-1-1-11111-111-1i−i−ii
χ321111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii1111−iii−i-1-1-1-11111-1-1-1-1−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−i−i−iiiii-1-111−iii−i−i−iiiii−i−i1-11-1-11-1111-1-1-1-111ii−i−i−i−iiiii−i−i1111-1-1-1-11-1-11−iii−i
χ33222222222-1222222-1-12-122-1-122-1-100000000-1-1-1-1222222-1-122-1-1-1-1-1-12222222200002222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100220022000000000000-1-1-1-1-1-1-1-100000000-1-1-1-10000
χ34222222222-1222222-1-12-122-1-122-1-100000000-1-1-1-1222222-1-122-1-1-1-1-1-1222222220000-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-2000000000000111111110000000011110000
χ35222222222-1222222-1-12-122-1-122-1-100000000-1-1-1-1-2-2-2-222-1-122-1-1-1-1-1-1-2-2-2-2-2-2-2-200002222222200000000-1-1-1-111111111111100-2-200-2-2000000000000-1-1-1-1-1-1-1-10000000011110000
χ36222222222-1222222-1-12-122-1-122-1-100000000-1-1-1-1-2-2-2-222-1-122-1-1-1-1-1-1-2-2-2-2-2-2-2-20000-2-2-2-2-2-2-2-200000000-1-1-1-1111111111111002200220000000000001111111100000000-1-1-1-10000
χ37222222222-1-2-2-2-222-1-12-122-1-122-1-100000000-1-1-1-122-2-2-2-211-2-211-1-1-1-12222-2-2-2-200002222-2-2-2-2000000001111-1-111-1-1-1-11111002-2002-2000000000000-1-1-1-1111100000000-11-110000
χ38222222222-1-2-2-2-222-1-12-122-1-122-1-100000000-1-1-1-122-2-2-2-211-2-211-1-1-1-12222-2-2-2-20000-2-2-2-22222000000001111-1-111-1-1-1-1111100-2200-220000000000001111-1-1-1-1000000001-11-10000
χ39222222222-1-2-2-2-222-1-12-122-1-122-1-100000000-1-1-1-1-2-222-2-211-2-211-1-1-1-1-2-2-2-2222200002222-2-2-2-200000000111111-1-11111-1-1-1-100-2200-22000000000000-1-1-1-11111000000001-11-10000
χ40222222222-1-2-2-2-222-1-12-122-1-122-1-100000000-1-1-1-1-2-222-2-211-2-211-1-1-1-1-2-2-2-222220000-2-2-2-2222200000000111111-1-11111-1-1-1-1002-2002-20000000000001111-1-1-1-100000000-11-110000
χ4122222222-122222-1-122-12-1-122-1-12222222222-1-1-1-12222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1222200000000-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122002200-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ4222222222-122222-1-122-12-1-122-1-12222222222-1-1-1-1-2-2-2-2-1-122-1-122-1-1-1-111111111222200000000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-2-200-2-20011111111-1-1-1-1000000000000000000000000
χ4322222222-122222-1-122-12-1-122-1-122-2-2-2-2-2-2-2-2-1-1-1-12222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000000011111111-1-1-1-12222-1-1-1-1-1-1-1-1-2-200-2-200111111111111000000000000000000000000
χ4422222222-122222-1-122-12-1-122-1-122-2-2-2-2-2-2-2-2-1-1-1-1-2-2-2-2-1-122-1-122-1-1-1-111111111-2-2-2-20000000011111111-1-1-1-1-2-2-2-21111111122002200-1-1-1-1-1-1-1-11111000000000000000000000000
χ4522222222-12-2-2-2-2-1-122-12-1-122-1-12222222222-1-1-1-122-2-211-2-211-2-2-1-1-1-1-1-1-1-11111-2-2-2-200000000-1-1-1-1-1-1-1-1111122-2-2-1-1-1-111112-2002-200-1-111-1-1111111000000000000000000000000
χ4622222222-12-2-2-2-2-1-122-12-1-122-1-12222222222-1-1-1-1-2-22211-2-211-2-2-1-1-1-11111-1-1-1-1-2-2-2-200000000-1-1-1-1-1-1-1-11111-2-2221111-1-1-1-1-2200-220011-1-111-1-11111000000000000000000000000
χ4722222222-12-2-2-2-2-1-122-12-1-122-1-122-2-2-2-2-2-2-2-2-1-1-1-122-2-211-2-211-2-2-1-1-1-1-1-1-1-1111122220000000011111111111122-2-2-1-1-1-11111-2200-220011-1-111-1-1-1-1-1-1000000000000000000000000
χ4822222222-12-2-2-2-2-1-122-12-1-122-1-122-2-2-2-2-2-2-2-2-1-1-1-1-2-22211-2-211-2-2-1-1-1-11111-1-1-1-1222200000000111111111111-2-2221111-1-1-1-12-2002-200-1-111-1-111-1-1-1-1000000000000000000000000
χ492222-2-2-2-22-122-2-222-1-12-1-2-211-2-21100000000-1-1-1-12i−2i2i−2i22-1-1-2-21111112i2i−2i−2i2i2i−2i−2i00002i2i−2i−2i2i2i−2i−2i00000000-1-111−ii−ii−i−iii−i−iii002200-2-2000000000000−i−iii−i−iii00000000-1-1110000
χ502222-2-2-2-22-122-2-222-1-12-1-2-211-2-21100000000-1-1-1-12i−2i2i−2i22-1-1-2-21111112i2i−2i−2i2i2i−2i−2i0000−2i−2i2i2i−2i−2i2i2i00000000-1-111−ii−ii−i−iii−i−iii00-2-20022000000000000ii−i−iii−i−i0000000011-1-10000
χ512222-2-2-2-22-122-2-222-1-12-1-2-211-2-21100000000-1-1-1-1−2i2i−2i2i22-1-1-2-2111111−2i−2i2i2i−2i−2i2i2i00002i2i−2i−2i2i2i−2i−2i00000000-1-111i−ii−iii−i−iii−i−i00-2-20022000000000000−i−iii−i−iii0000000011-1-10000
χ522222-2-2-2-22-122-2-222-1-12-1-2-211-2-21100000000-1-1-1-1−2i2i−2i2i22-1-1-2-2111111−2i−2i2i2i−2i−2i2i2i0000−2i−2i2i2i−2i−2i2i2i00000000-1-111i−ii−iii−i−iii−i−i002200-2-2000000000000ii−i−iii−i−i00000000-1-1110000
χ532222-2-2-2-22-1-2-22222-1-12-1-2-211-2-21100000000-1-1-1-12i−2i−2i2i-2-21122-1-111112i2i−2i−2i−2i−2i2i2i00002i2i−2i−2i−2i−2i2i2i0000000011-1-1−iii−i−i−iiiii−i−i002-200-22000000000000−i−iiiii−i−i00000000-111-10000
χ542222-2-2-2-22-1-2-22222-1-12-1-2-211-2-21100000000-1-1-1-12i−2i−2i2i-2-21122-1-111112i2i−2i−2i−2i−2i2i2i0000−2i−2i2i2i2i2i−2i−2i0000000011-1-1−iii−i−i−iiiii−i−i00-22002-2000000000000ii−i−i−i−iii000000001-1-110000
χ552222-2-2-2-22-1-2-22222-1-12-1-2-211-2-21100000000-1-1-1-1−2i2i2i−2i-2-21122-1-11111−2i−2i2i2i2i2i−2i−2i00002i2i−2i−2i−2i−2i2i2i0000000011-1-1i−i−iiii−i−i−i−iii00-22002-2000000000000−i−iiiii−i−i000000001-1-110000
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χ1334-4-4444-4-44-20000-4-4224-244-2-2-4-42200000000-222-2000000000000-2-22200000000000000004i−4i4i−4i000000000000000000000000000000000000000000000000−2i2i−2i2i0000000000000000
χ1344-4-4444-4-44-20000-4-4224-244-2-2-4-42200000000-222-2000000000000-2-2220000000000000000−4i4i−4i4i0000000000000000000000000000000000000000000000002i−2i2i−2i0000000000000000
χ1354-4-4444-4-4-24000022-4-4-24-2-24422-4-44i−4i−4i4i−4i4i4i−4i-222-2000000000000-2-22200000000000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000000000000000000000000000000000
χ1364-4-4444-4-4-24000022-4-4-24-2-24422-4-4−4i4i4i−4i4i−4i−4i4i-222-2000000000000-2-222000000000000000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000000000000000000000000000000000000000
χ1374-4-44-4-4444-20000-4-4224-2-4-42244-2-200000000-222-200000000000022-2-200000000000000004-4-44000000000000000000000000000000000000000000000000-222-20000000000000000
χ1384-4-44-4-4444-20000-4-4224-2-4-42244-2-200000000-222-200000000000022-2-20000000000000000-444-40000000000000000000000000000000000000000000000002-2-220000000000000000
χ1394-4-44-4-444-24000022-4-4-2422-4-4-2-2444-4-444-4-44-222-200000000000022-2-200000000000000000000-222-2-222-2000000000000000000000000000000000000000000000000000000000000
χ1404-4-44-4-444-24000022-4-4-2422-4-4-2-244-444-4-444-4-222-200000000000022-2-2000000000000000000002-2-222-2-22000000000000000000000000000000000000000000000000000000000000
χ14188-8-88i−8i8i−8i-4-40000-44-4444−4i4i−4i4i−4i4i−4i4i0000000022-2-20000000000002i−2i2i−2i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14288-8-8−8i8i−8i8i-4-40000-44-44444i−4i4i−4i4i−4i4i−4i0000000022-2-2000000000000−2i2i−2i2i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1438-8-8888-8-8-4-400004444-4-4-4-4-4-44444000000002-2-2200000000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1448-8-88-8-888-4-400004444-4-44444-4-4-4-4000000002-2-22000000000000-2-2220000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.