Finite Group Databasebeta

← Group #72260344

Character table — Group #72260344

Order 2304.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size1111222222222222224444444444444444444444444444888888888888888888888888888888999912121212121212121212121212121212161616161616161616161616181818181818242424242424242424242424242424242424242424242424363636363636363648484848484848487272
order12222222223366666634444444466666666666666666664466661212121212121212121212121212121212121212121212124444222244444444444412121212121212121212121244444444444444666612121212121212121212121222222244121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111
χ31111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-111-1-111-1-111-1-1111111111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-111-1-111-1-111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ511111111111111111111111-1-1-1-11111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111-1-1-1-11111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1
χ711111111111111111111111-1-1-1-11111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1111111
χ811111111111111111111111-1-1-1-11111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111-1-11111-1-11111-1-1-1-111
χ91111111111111111111-1-1-1-111111111111111111111111-1-11111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111-1-1-1-111-1-111-1-11111-1-111-1-111-1-1-1-1
χ101111111111111111111-1-1-1-111111111111111111111111-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111-1-11111-1-111-1-1-1-11111-1-1-1-111-1-111-1-1
χ111111111111111111111-1-1-1-111111111111111111111111-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111
χ121111111111111111111-1-1-1-111111111111111111111111-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-11111-1-111
χ131111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-111111111-1-1111111-1-111-1-11111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-11111
χ141111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-111111111-1-111111111-1-111-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-111
χ151111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1
χ161111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1
χ171-11-1111-1-1-11111-1-1-1-11i−ii−iii−i−i11-1-1-1-11-1-11111-111-1-1-11-111-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−iii−i−i1-11-1i−ii−i1-11-1i−ii−ii−i1111-1-1-1-1i−iiii−i−i−ii−i1-11-1i−i1-11-11-11-1i−ii−ii−ii−i1-111-1-11-1i−i1-11-1i−ii−i
χ181-11-1111-1-1-11111-1-1-1-11i−ii−iii−i−i11-1-1-1-11-1-11111-111-1-1-11-111-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−iii−i−i-11-11−ii−ii-11-11−ii−iii−i1111-1-1-1-1i−iiii−i−i−i−ii-11-11−ii-11-11-11-11−ii−ii−ii−ii1-111-1-11-1−ii-11-11−iii−i
χ191-11-1111-1-1-11111-1-1-1-11i−ii−iii−i−i11-1-1-1-11-1-11111-111-1-1-11-111-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i−i−iii1-1-11i−i−ii1-1-11i−i−iii−i1111-1-1-1-1i−i−i−i−iiiii−i1-1-11−ii1-1-111-1-11i−i−iii−i−ii-11-1-111-11i−i1-1-11−ii−ii
χ201-11-1111-1-1-11111-1-1-1-11i−ii−iii−i−i11-1-1-1-11-1-11111-111-1-1-11-111-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i−i−iii-111-1−iii−i-111-1−iii−ii−i1111-1-1-1-1i−i−i−i−iiii−ii-111-1i−i-111-1-111-1−iii−i−iii−i-11-1-111-11−ii-111-1i−i−ii
χ211-11-1111-1-1-11111-1-1-1-11i−ii−i−i−iii11-1-1-1-11-1-11111-111-1-1-1-1111-1-1ii−i−iii−i−i−i−i−i−iiiii−i−i−i−iiiiiii−i−i1-11-1i−ii−i1-11-1i−ii−ii−i-1-1-1-11111i−iiii−i−i−i−ii-11-11−ii1-11-11-11-1i−ii−ii−ii−i1-1-1-1111-1−ii-11-11−ii−ii
χ221-11-1111-1-1-11111-1-1-1-11i−ii−i−i−iii11-1-1-1-11-1-11111-111-1-1-1-1111-1-1ii−i−iii−i−i−i−i−i−iiiii−i−i−i−iiiiiii−i−i-11-11−ii−ii-11-11−ii−iii−i-1-1-1-11111i−iiii−i−i−ii−i1-11-1i−i-11-11-11-11−ii−ii−ii−ii1-1-1-1111-1i−i1-11-1i−i−ii
χ231-11-1111-1-1-11111-1-1-1-11i−ii−i−i−iii11-1-1-1-11-1-11111-111-1-1-1-1111-1-1ii−i−iii−i−i−i−i−i−iiiii−i−i−i−iiiii−i−iii1-1-11i−i−ii1-1-11i−i−iii−i-1-1-1-11111i−i−i−i−iiii−ii-111-1i−i1-1-111-1-11i−i−iii−i−ii-1111-1-1-11−ii-111-1i−ii−i
χ241-11-1111-1-1-11111-1-1-1-11i−ii−i−i−iii11-1-1-1-11-1-11111-111-1-1-1-1111-1-1ii−i−iii−i−i−i−i−i−iiiii−i−i−i−iiiii−i−iii-111-1−iii−i-111-1−iii−ii−i-1-1-1-11111i−i−i−i−iiiii−i1-1-11−ii-111-1-111-1−iii−i−iii−i-1111-1-1-11i−i1-1-11−iii−i
χ251-11-1111-1-1-11111-1-1-1-11−ii−iiii−i−i11-1-1-1-11-1-11111-111-1-1-1-1111-1-1−i−iii−i−iiiiiii−i−i−i−iiiii−i−i−i−iii−i−i1-1-11−iii−i1-1-11−iii−i−ii-1-1-1-11111−iiiii−i−i−ii−i-111-1−ii1-1-111-1-11−iii−i−iii−i-1111-1-1-11i−i-111-1−ii−ii
χ261-11-1111-1-1-11111-1-1-1-11−ii−iiii−i−i11-1-1-1-11-1-11111-111-1-1-1-1111-1-1−i−iii−i−iiiiiii−i−i−i−iiiii−i−i−i−iii−i−i-111-1i−i−ii-111-1i−i−ii−ii-1-1-1-11111−iiiii−i−i−i−ii1-1-11i−i-111-1-111-1i−i−iii−i−ii-1111-1-1-11−ii1-1-11i−i−ii
χ271-11-1111-1-1-11111-1-1-1-11−ii−iiii−i−i11-1-1-1-11-1-11111-111-1-1-1-1111-1-1−i−iii−i−iiiiiii−i−i−i−iiiii−i−i−i−i−i−iii1-11-1−ii−ii1-11-1−ii−ii−ii-1-1-1-11111−ii−i−i−iiiii−i-11-11i−i1-11-11-11-1−ii−ii−ii−ii1-1-1-1111-1i−i-11-11i−ii−i
χ281-11-1111-1-1-11111-1-1-1-11−ii−iiii−i−i11-1-1-1-11-1-11111-111-1-1-1-1111-1-1−i−iii−i−iiiiiii−i−i−i−iiiii−i−i−i−i−i−iii-11-11i−ii−i-11-11i−ii−i−ii-1-1-1-11111−ii−i−i−iiii−ii1-11-1−ii-11-11-11-11i−ii−ii−ii−i1-1-1-1111-1−ii1-11-1−iii−i
χ291-11-1111-1-1-11111-1-1-1-11−ii−ii−i−iii11-1-1-1-11-1-11111-111-1-1-11-111-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiiiii−i−i1-1-11−iii−i1-1-11−iii−i−ii1111-1-1-1-1−iiiii−i−i−i−ii1-1-11i−i1-1-111-1-11−iii−i−iii−i-11-1-111-11−ii1-1-11i−ii−i
χ301-11-1111-1-1-11111-1-1-1-11−ii−ii−i−iii11-1-1-1-11-1-11111-111-1-1-11-111-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiiiii−i−i-111-1i−i−ii-111-1i−i−ii−ii1111-1-1-1-1−iiiii−i−i−ii−i-111-1−ii-111-1-111-1i−i−iii−i−ii-11-1-111-11i−i-111-1−iii−i
χ311-11-1111-1-1-11111-1-1-1-11−ii−ii−i−iii11-1-1-1-11-1-11111-111-1-1-11-111-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii−i−iii1-11-1−ii−ii1-11-1−ii−ii−ii1111-1-1-1-1−ii−i−i−iiii−ii1-11-1−ii1-11-11-11-1−ii−ii−ii−ii1-111-1-11-1−ii1-11-1−ii−ii
χ321-11-1111-1-1-11111-1-1-1-11−ii−ii−i−iii11-1-1-1-11-1-11111-111-1-1-11-111-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii−i−iii-11-11i−ii−i-11-11i−ii−i−ii1111-1-1-1-1−ii−i−i−iiiii−i-11-11i−i-11-11-11-11i−ii−ii−ii−i1-111-1-11-1i−i-11-11i−i−ii
χ3322222222222-12-12-12-1-1222222222-122-1-1-1-1-12-1-1-1-12-12-1-122-1-1-1-12-12-12-12-122-1-122-1-1-1-1-1-1-1-1-1-100000022002200220022-1-12-1-1-12-1-1-1-1-10000000000222200-1-100-1-100-1-100-1-1000000000000-1-1-1-100
χ3422222222222-12-12-12-1-1222222222-122-1-1-1-1-12-1-1-1-12-12-1-122-1-1-1-12-12-12-12-122-1-122-1-1-1-1-1-1-1-1-1-1000000-2-200-2-200-2-200-2-2-1-12-1-1-12-1-1-1-1-10000000000-2-2-2-20011001100110011000000000000111100
χ3522222222222-12-12-12-1-12222-2-2-2-22-122-1-1-1-1-12-1-1-1-12-12-1-1-2-2-1-1-1-12-12-12-12-1-2-211-2-2111111111100000022002200220022-1-1-2111-2111-1-10000000000-2-2-2-200-1-100-1-100-1-100-1-1000000000000111100
χ3622222222222-12-12-12-1-12222-2-2-2-22-122-1-1-1-1-12-1-1-1-12-12-1-1-2-2-1-1-1-12-12-12-12-1-2-211-2-21111111111000000-2-200-2-200-2-200-2-2-1-1-2111-2111-1-1000000000022220011001100110011000000000000-1-1-1-100
χ3722222222222-12-12-12-1-1-2-2-2-222222-122-1-1-1-1-12-1-1-1-12-12-1-1-2-2-1-1-1-1-21-21-21-2122-1-122-1-1-1-1-1-1-1-1-1-10000002200-2-2002200-2-211-2111-2111110000000000-2-22200-1-100-1-10011001100000000000011-1-100
χ3822222222222-12-12-12-1-1-2-2-2-222222-122-1-1-1-1-12-1-1-1-12-12-1-1-2-2-1-1-1-1-21-21-21-2122-1-122-1-1-1-1-1-1-1-1-1-1000000-2-2002200-2-2002211-2111-211111000000000022-2-20011001100-1-100-1-1000000000000-1-11100
χ3922222222222-12-12-12-1-1-2-2-2-2-2-2-2-22-122-1-1-1-1-12-1-1-1-12-12-1-122-1-1-1-1-21-21-21-21-2-211-2-211111111110000002200-2-2002200-2-2112-1-1-12-1-1-111000000000022-2-200-1-100-1-100110011000000000000-1-11100
χ4022222222222-12-12-12-1-1-2-2-2-2-2-2-2-22-122-1-1-1-1-12-1-1-1-12-12-1-122-1-1-1-1-21-21-21-21-2-211-2-21111111111000000-2-2002200-2-20022112-1-1-12-1-1-1110000000000-2-2220011001100-1-100-1-100000000000011-1-100
χ412222222222-12-12-12-12-122222222-12-1-122-1-1-1-12-1-1-1-12-12-122-1-1-1-1-12-12-12-12-1-122-1-122-1-1-1-1-1-1-1-100002200220022002200-1-1-12-1-1-12-1-1-1-100000022220000-1-100-1-100-1-100-1-10000000000-1-1-1-1000000
χ422222222222-12-12-12-12-122222222-12-1-122-1-1-1-12-1-1-1-12-12-122-1-1-1-1-12-12-12-12-1-122-1-122-1-1-1-1-1-1-1-10000-2-200-2-200-2-200-2-200-1-1-12-1-1-12-1-1-1-1000000-2-2-2-200001100110011001100000000001111000000
χ432222222222-12-12-12-12-12222-2-2-2-2-12-1-122-1-1-1-12-1-1-1-12-12-1-2-2-1-1-1-1-12-12-12-1211-2-211-2-21111111100002200220022002200-1-11-2111-211-1-1000000-2-2-2-20000-1-100-1-100-1-100-1-100000000001111000000
χ442222222222-12-12-12-12-12222-2-2-2-2-12-1-122-1-1-1-12-1-1-1-12-12-1-2-2-1-1-1-1-12-12-12-1211-2-211-2-2111111110000-2-200-2-200-2-200-2-200-1-11-2111-211-1-100000022220000110011001100110000000000-1-1-1-1000000
χ452222222222-12-12-12-12-1-2-2-2-22222-12-1-122-1-1-1-12-1-1-1-12-12-1-2-2-1-1-1-11-21-21-21-2-1-122-1-122-1-1-1-1-1-1-1-100002200-2-2002200-2-200111-2111-2111100000022-2-20000-1-100-1-1001100110000000000-1-111000000
χ462222222222-12-12-12-12-1-2-2-2-22222-12-1-122-1-1-1-12-1-1-1-12-12-1-2-2-1-1-1-11-21-21-21-2-1-122-1-122-1-1-1-1-1-1-1-10000-2-2002200-2-2002200111-2111-21111000000-2-222000011001100-1-100-1-1000000000011-1-1000000
χ472222222222-12-12-12-12-1-2-2-2-2-2-2-2-2-12-1-122-1-1-1-12-1-1-1-12-12-122-1-1-1-11-21-21-21-211-2-211-2-21111111100002200-2-2002200-2-20011-12-1-1-12-1-111000000-2-2220000-1-100-1-100110011000000000011-1-1000000
χ482222222222-12-12-12-12-1-2-2-2-2-2-2-2-2-12-1-122-1-1-1-12-1-1-1-12-12-122-1-1-1-11-21-21-21-211-2-211-2-2111111110000-2-2002200-2-200220011-12-1-1-12-1-11100000022-2-2000011001100-1-100-1-10000000000-1-111000000
χ4922222-2-2-2-2222222222222-2-20000-2-22-22-222222222-2-2-2-2200-2-2-2-22222-2-2-2-20000000000000000222200000000000000002200000000-2-22-2-22-2-2000000000000000000000000-2-20000220000000000
χ5022222-2-2-2-2222222222222-2-20000-2-22-22-222222222-2-2-2-2200-2-2-2-22222-2-2-2-20000000000000000-2-2-2-200000000000000002200000000-2-2-222-222000000000000000000000000220000-2-20000000000
χ5122222-2-2-2-22222222222-2-2220000-2-22-22-222222222-2-2-2-2200-2-2-2-2-2-2-2-22222000000000000000022220000000000000000-2-200000000222-2-22-2-2000000000000000000000000220000-2-20000000000
χ5222222-2-2-2-22222222222-2-2220000-2-22-22-222222222-2-2-2-2200-2-2-2-2-2-2-2-222220000000000000000-2-2-2-20000000000000000-2-20000000022-222-222000000000000000000000000-2-20000220000000000
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Here i is the imaginary unit (i² = −1).