Finite Group Databasebeta

← Group #11861368

Character table — Group #11861368

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size11111111222222222222222222223333333344444444444444444444444444446666666666666666666688888888888888881212121212121212121212121212121212121212121212121212121218181818181818182424242436363636
order12224444336666668888121212121212121288888888344666881212121212121212242424242424242424242424224444448888242424242424242412121212121224242424242424242424444466888812121212121212121212242424242424242444448888121224244488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111-1-1111-1-1-1-1-1-1111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111-1-1111-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
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
χ71111111111111111111111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1
χ91111111111111111-1-1-1-11111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ101111111111111111-1-1-1-11111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1
χ111111111111111111-1-1-1-111111111111111111-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1
χ121111111111111111-1-1-1-111111111111111111-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ131111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1
χ141111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111
χ151111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-111
χ161111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-111-1-1
χ171111-1-1-1-111111111ii−i−i-1-1-1-1-1-1-1-1iiii−i−i−i−i11-1111i−i11-1-1-1-1-1-1ii−i−iii−i−iii−i−i11-1-111-1-1ii−i−iiiii−i−i−i−i1-111-1-1i−iii−i−iii−i−i1-11-111i−ii−i-1-111-1-111-1-1ii−i−iii−i−i11-1-1ii−i−i1-1i−i1-1i−i
χ181111-1-1-1-111111111ii−i−i-1-1-1-1-1-1-1-1iiii−i−i−i−i11-1111i−i11-1-1-1-1-1-1ii−i−iii−i−iii−i−i11-1-1-1-111−i−iiiiiii−i−i−i−i1-111-1-1i−iii−i−iii−i−i1-1-1111i−i−ii-1-111-1-1-1-111ii−i−i−i−iii-1-111−i−iii-11−ii-11−ii
χ191111-1-1-1-111111111ii−i−i-1-1-1-1-1-1-1-1iiii−i−i−i−i1-11111−ii-1-111-1-1-1-1ii−i−iii−i−i−i−iii11-1-111-1-1ii−i−iiiii−i−i−i−i-11-1-111−iiii−i−i−i−iii-11-1111−ii−ii-1-1-1-11111-1-1−i−iiiii−i−i11-1-1ii−i−i-11−ii-11−ii
χ201111-1-1-1-111111111ii−i−i-1-1-1-1-1-1-1-1iiii−i−i−i−i1-11111−ii-1-111-1-1-1-1ii−i−iii−i−i−i−iii11-1-1-1-111−i−iiiiiii−i−i−i−i-11-1-111−iiii−i−i−i−iii-111-111−iii−i-1-1-1-111-1-111−i−iii−i−iii-1-111−i−iii1-1i−i1-1i−i
χ211111-1-1-1-111111111ii−i−i-1-1-1-1-1-1-1-1−i−i−i−iiiii11-1111i−i11-1-1-1-1-1-1ii−i−iii−i−iii−i−i-1-11111-1-1ii−i−i−i−i−i−iiiii1-111-1-1i−iii−i−iii−i−i-111-1-1-1−iii−i11-1-11111-1-1−i−iiiii−i−i-1-111−i−iii1-1i−i-11−ii
χ221111-1-1-1-111111111ii−i−i-1-1-1-1-1-1-1-1−i−i−i−iiiii11-1111i−i11-1-1-1-1-1-1ii−i−iii−i−iii−i−i-1-111-1-111−i−iii−i−i−i−iiiii1-111-1-1i−iii−i−iii−i−i-11-11-1-1−ii−ii11-1-111-1-111−i−iii−i−iii11-1-1ii−i−i-11−ii1-1i−i
χ231111-1-1-1-111111111ii−i−i-1-1-1-1-1-1-1-1−i−i−i−iiiii1-11111−ii-1-111-1-1-1-1ii−i−iii−i−i−i−iii-1-11111-1-1ii−i−i−i−i−i−iiiii-11-1-111−iiii−i−i−i−iii1-1-11-1-1i−i−ii1111-1-111-1-1ii−i−iii−i−i-1-111−i−iii-11−ii1-1i−i
χ241111-1-1-1-111111111ii−i−i-1-1-1-1-1-1-1-1−i−i−i−iiiii1-11111−ii-1-111-1-1-1-1ii−i−iii−i−i−i−iii-1-111-1-111−i−iii−i−i−i−iiiii-11-1-111−iiii−i−i−i−iii1-11-1-1-1i−ii−i1111-1-1-1-111ii−i−i−i−iii11-1-1ii−i−i1-1i−i-11−ii
χ251111-1-1-1-111111111−i−iii-1-1-1-1-1-1-1-1iiii−i−i−i−i11-1111−ii11-1-1-1-1-1-1−i−iii−i−iii−i−iii-1-11111-1-1−i−iiiiiii−i−i−i−i1-111-1-1−ii−i−iii−i−iii-111-1-1-1i−i−ii11-1-11111-1-1ii−i−i−i−iii-1-111ii−i−i1-1−ii-11i−i
χ261111-1-1-1-111111111−i−iii-1-1-1-1-1-1-1-1iiii−i−i−i−i11-1111−ii11-1-1-1-1-1-1−i−iii−i−iii−i−iii-1-111-1-111ii−i−iiiii−i−i−i−i1-111-1-1−ii−i−iii−i−iii-11-11-1-1i−ii−i11-1-111-1-111ii−i−iii−i−i11-1-1−i−iii-11i−i1-1−ii
χ271111-1-1-1-111111111−i−iii-1-1-1-1-1-1-1-1iiii−i−i−i−i1-11111i−i-1-111-1-1-1-1−i−iii−i−iiiii−i−i-1-11111-1-1−i−iiiiiii−i−i−i−i-11-1-111i−i−i−iiiii−i−i1-1-11-1-1−iii−i1111-1-111-1-1−i−iii−i−iii-1-111ii−i−i-11i−i1-1−ii
χ281111-1-1-1-111111111−i−iii-1-1-1-1-1-1-1-1iiii−i−i−i−i1-11111i−i-1-111-1-1-1-1−i−iii−i−iiiii−i−i-1-111-1-111ii−i−iiiii−i−i−i−i-11-1-111i−i−i−iiiii−i−i1-11-1-1-1−ii−ii1111-1-1-1-111−i−iiiii−i−i11-1-1−i−iii1-1−ii-11i−i
χ291111-1-1-1-111111111−i−iii-1-1-1-1-1-1-1-1−i−i−i−iiiii11-1111−ii11-1-1-1-1-1-1−i−iii−i−iii−i−iii11-1-111-1-1−i−iii−i−i−i−iiiii1-111-1-1−ii−i−iii−i−iii1-11-111−ii−ii-1-111-1-111-1-1−i−iii−i−iii11-1-1−i−iii1-1−ii1-1−ii
χ301111-1-1-1-111111111−i−iii-1-1-1-1-1-1-1-1−i−i−i−iiiii11-1111−ii11-1-1-1-1-1-1−i−iii−i−iii−i−iii11-1-1-1-111ii−i−i−i−i−i−iiiii1-111-1-1−ii−i−iii−i−iii1-1-1111−iii−i-1-111-1-1-1-111−i−iiiii−i−i-1-111ii−i−i-11i−i-11i−i
χ311111-1-1-1-111111111−i−iii-1-1-1-1-1-1-1-1−i−i−i−iiiii1-11111i−i-1-111-1-1-1-1−i−iii−i−iiiii−i−i11-1-111-1-1−i−iii−i−i−i−iiiii-11-1-111i−i−i−iiiii−i−i-11-1111i−ii−i-1-1-1-11111-1-1ii−i−i−i−iii11-1-1−i−iii-11i−i-11i−i
χ321111-1-1-1-111111111−i−iii-1-1-1-1-1-1-1-1−i−i−i−iiiii1-11111i−i-1-111-1-1-1-1−i−iii−i−iiiii−i−i11-1-1-1-111ii−i−i−i−i−i−iiiii-11-1-111i−i−i−iiiii−i−i-111-111i−i−ii-1-1-1-111-1-111ii−i−iii−i−i-1-111ii−i−i1-1−ii1-1−ii
χ33222222222-12-1-1-122222222-1-1-1-12222222222-122-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222200000000-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-12200-1-12200-1-1-1-1-1-10000-1-1-1-100000000000000000000
χ34222222222-12-1-1-122222222-1-1-1-12222222222-1-2-2-1-1-1-2-21111-1-1-1-12222-1-1-1-11111222200000000-1-1-1-1-1-1-1-1-2-21111-2-2-1-1-1-11111-2-200-1-1-2-200-1-111110000111100000000000000000000
χ35222222222-12-1-1-122222222-1-1-1-122-2-2-2-2-2-2-2-2-122-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2000000001111111122-1-1-1-122-1-1-1-1-1-1-1-1-2-20011-2-2001111110000111100000000000000000000
χ36222222222-12-1-1-122222222-1-1-1-122-2-2-2-2-2-2-2-2-1-2-2-1-1-1-2-21111-1-1-1-12222-1-1-1-11111-2-2-2-20000000011111111-2-21111-2-2-1-1-1-11111220011220011-1-1-1-10000-1-1-1-100000000000000000000
χ37222222222-12-1-1-122-2-2-2-222-1-1-1-12222222222-122-1-1-1-2-2-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-200000000-1-1-1-1-1-1-1-122-1-1-1-1-2-211111111-2-2001122001111110000-1-1-1-100000000000000000000
χ38222222222-12-1-1-122-2-2-2-222-1-1-1-12222222222-1-2-2-1-1-1221111-1-1-1-1-2-2-2-21111-1-1-1-1-2-2-2-200000000-1-1-1-1-1-1-1-1-2-21111221111-1-1-1-1220011-2-20011-1-1-1-10000111100000000000000000000
χ39222222222-12-1-1-122-2-2-2-222-1-1-1-122-2-2-2-2-2-2-2-2-122-1-1-1-2-2-1-1-1-1-1-1-1-1-2-2-2-2111111112222000000001111111122-1-1-1-1-2-2111111112200-1-1-2-200-1-1-1-1-1-10000111100000000000000000000
χ40222222222-12-1-1-122-2-2-2-222-1-1-1-122-2-2-2-2-2-2-2-2-1-2-2-1-1-1221111-1-1-1-1-2-2-2-21111-1-1-1-122220000000011111111-2-21111221111-1-1-1-1-2-200-1-12200-1-111110000-1-1-1-100000000000000000000
χ4122222222-12-1222-1-12222-1-12222-1-100000000-122-1-1-1222222-1-1-1-1-1-1-1-12222222200002222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10022000022000000-1-1-1-10000-1-1-1-100000000-1-1-1-10000
χ4222222222-12-1222-1-12222-1-12222-1-100000000-122-1-1-1222222-1-1-1-1-1-1-1-1222222220000-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-20000-2-20000001111000011110000000011110000
χ4322222222-12-1222-1-12222-1-12222-1-100000000-1-2-2-1-1-1-2-2-2-2-2-2-1-1-1-1-1-1-1-12222-2-2-2-20000222222220000000011111111-1-1-1-1111100-2-20000-2-2000000-1-1-1-10000-1-1-1-10000000011110000
χ4422222222-12-1222-1-12222-1-12222-1-100000000-1-2-2-1-1-1-2-2-2-2-2-2-1-1-1-1-1-1-1-12222-2-2-2-20000-2-2-2-2-2-2-2-20000000011111111-1-1-1-11111002200002200000011110000111100000000-1-1-1-10000
χ4522222222-12-1222-1-1-2-2-2-2-1-12222-1-100000000-122-1-1-1-2-22222-1-1-1-11111-2-2-2-2-2-2-2-200002222-2-2-2-200000000-1-1-1-1-1-1111111111100220000-2-2000000-1-1-1-10000111100000000-1-1110000
χ4622222222-12-1222-1-1-2-2-2-2-1-12222-1-100000000-122-1-1-1-2-22222-1-1-1-11111-2-2-2-2-2-2-2-20000-2-2-2-2222200000000-1-1-1-1-1-1111111111100-2-200002200000011110000-1-1-1-10000000011-1-10000
χ4722222222-12-1222-1-1-2-2-2-2-1-12222-1-100000000-1-2-2-1-1-122-2-2-2-2-1-1-1-11111-2-2-2-2222200002222-2-2-2-200000000111111-1-11111-1-1-1-100-2-2000022000000-1-1-1-1000011110000000011-1-10000
χ4822222222-12-1222-1-1-2-2-2-2-1-12222-1-100000000-1-2-2-1-1-122-2-2-2-2-1-1-1-11111-2-2-2-222220000-2-2-2-2222200000000111111-1-11111-1-1-1-100220000-2-200000011110000-1-1-1-100000000-1-1110000
χ492222-2-2-2-22-12-1-1-1222i2i−2i−2i-2-21111-2-22i2i2i2i−2i−2i−2i−2i-12-2-1-1-12i−2i-1-11111112i2i−2i−2i−i−iii−i−iii22-2-200000000−i−i−i−iiiii2-2-1-1112i−2i−i−iii−i−iii2-200-1-12i−2i0011-1-1110000−i−iii00000000000000000000
χ502222-2-2-2-22-12-1-1-1222i2i−2i−2i-2-21111-2-22i2i2i2i−2i−2i−2i−2i-1-22-1-1-1−2i2i11-1-111112i2i−2i−2i−i−iiiii−i−i22-2-200000000−i−i−i−iiiii-2211-1-1−2i2i−i−iiiii−i−i-2200-1-1−2i2i001111-1-10000ii−i−i00000000000000000000
χ512222-2-2-2-22-12-1-1-1222i2i−2i−2i-2-21111-2-2−2i−2i−2i−2i2i2i2i2i-12-2-1-1-12i−2i-1-11111112i2i−2i−2i−i−iii−i−iii-2-22200000000iiii−i−i−i−i2-2-1-1112i−2i−i−iii−i−iii-220011−2i2i00-1-111-1-10000ii−i−i00000000000000000000
χ522222-2-2-2-22-12-1-1-1222i2i−2i−2i-2-21111-2-2−2i−2i−2i−2i2i2i2i2i-1-22-1-1-1−2i2i11-1-111112i2i−2i−2i−i−iiiii−i−i-2-22200000000iiii−i−i−i−i-2211-1-1−2i2i−i−iiiii−i−i2-200112i−2i00-1-1-1-1110000−i−iii00000000000000000000
χ532222-2-2-2-22-12-1-1-122−2i−2i2i2i-2-21111-2-22i2i2i2i−2i−2i−2i−2i-12-2-1-1-1−2i2i-1-1111111−2i−2i2i2iii−i−iii−i−i-2-22200000000−i−i−i−iiiii2-2-1-111−2i2iii−i−iii−i−i-2200112i−2i00-1-111-1-10000−i−iii00000000000000000000
χ542222-2-2-2-22-12-1-1-122−2i−2i2i2i-2-21111-2-22i2i2i2i−2i−2i−2i−2i-1-22-1-1-12i−2i11-1-11111−2i−2i2i2iii−i−i−i−iii-2-22200000000−i−i−i−iiiii-2211-1-12i−2iii−i−i−i−iii2-20011−2i2i00-1-1-1-1110000ii−i−i00000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.