Finite Group Databasebeta

← Group #11860609

Character table — Group #11860609

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size11112222222222222222222222222244444444444444444444444444444444444444444444444444444444441212121212121212121212121212121218181818181818182424242424242424242424242424242436363636
order12223344444466666688881212121212121212366688121212121212121212121212121212121212121224242424242424242424242424242424242424242424242424242424242424242244444444444444224444446612121212121212121212121212128888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-1111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ6111111111111111111-1-1-1-1111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ7111111111111111111-1-1-1-1111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ8111111111111111111-1-1-1-1111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ9111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1
χ10111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-11111-1-111-1-1-1-111-1-111-1-111
χ11111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-111-1-111-1-11111-1-111-1-1-1-111
χ12111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-111-1-1-1-111-1-111-1-111-1-11111-1-1
χ13111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-111-1-111
χ14111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-111-1-1
χ15111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-111-1-1-1-111-1-111-1-111-1-11111-1-111-1-1-1-11111-1-1
χ16111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ171-11-111i−ii−i1-1-11-1-11-1ii−i−iii−i−iii−i−i11-1-11-1i−ii−iiiii−i−i−i−i1-11-111-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-11-1i−ii−i1-11-1i−ii−i1-11-1i−i1-1i−i1-1i−ii−i1-11-1i−ii−i1-1i−i1-1
χ181-11-111i−ii−i1-1-11-1-11-1ii−i−iii−i−iii−i−i11-1-11-1i−ii−iiiii−i−i−i−i1-11-111-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-11-1i−ii−i1-1-11−ii−ii-11-11−ii-11−ii1-1i−ii−i1-1-11−ii−ii-11−ii-11
χ191-11-111i−ii−i1-1-11-1-11-1ii−i−iii−i−iii−i−i11-1-11-1i−ii−iiiii−i−i−i−i1-11-111-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-1-11−ii−ii-111-1i−ii−i1-1-11−ii-11−ii-11−ii−ii-111-1i−ii−i1-1−ii-11
χ201-11-111i−ii−i1-1-11-1-11-1ii−i−iii−i−iii−i−i11-1-11-1i−ii−iiiii−i−i−i−i1-11-111-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-1-11−ii−ii-11-11−ii−ii-111-1i−i1-1i−i-11−ii−ii-11-11−ii−ii-11i−i1-1
χ211-11-111i−ii−i1-1-11-1-11-1−i−iiiii−i−iii−i−i11-1-1-11i−ii−iiiii−i−i−i−i1-11-111-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-1111111111-1−iii−i-111-1i−i−ii-111-1i−i1-1i−i1-1i−i−ii-111-1i−i−ii-11−ii-11
χ221-11-111i−ii−i1-1-11-1-11-1−i−iiiii−i−iii−i−i11-1-1-11i−ii−iiiii−i−i−i−i1-11-111-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-1111111111-1−iii−i-11-11−iii−i1-1-11−ii-11−ii1-1i−i−ii-11-11−iii−i1-1i−i1-1
χ231-11-111i−ii−i1-1-11-1-11-1−i−iiiii−i−iii−i−i11-1-1-11i−ii−iiiii−i−i−i−i1-11-111-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-111111111-11i−i−ii1-11-1i−i−ii-11-11−ii-11−ii-11−iii−i1-11-1i−i−ii-11i−i1-1
χ241-11-111i−ii−i1-1-11-1-11-1−i−iiiii−i−iii−i−i11-1-1-11i−ii−iiiii−i−i−i−i1-11-111-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-111111111-11i−i−ii1-1-11−iii−i1-11-1i−i1-1i−i-11−iii−i1-1-11−iii−i1-1−ii-11
χ251-11-111−ii−ii1-1-11-1-11-1ii−i−i−i−iii−i−iii11-1-1-11−ii−ii−i−i−i−iiiii1-11-111-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1111111111-1i−i−ii-111-1−iii−i-111-1−ii1-1−ii1-1−iii−i-111-1−iii−i-11i−i-11
χ261-11-111−ii−ii1-1-11-1-11-1ii−i−i−i−iii−i−iii11-1-1-11−ii−ii−i−i−i−iiiii1-11-111-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1111111111-1i−i−ii-11-11i−i−ii1-1-11i−i-11i−i1-1−iii−i-11-11i−i−ii1-1−ii1-1
χ271-11-111−ii−ii1-1-11-1-11-1ii−i−i−i−iii−i−iii11-1-1-11−ii−ii−i−i−i−iiiii1-11-111-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-111111111-11−iii−i1-11-1−iii−i-11-11i−i-11i−i-11i−i−ii1-11-1−iii−i-11−ii1-1
χ281-11-111−ii−ii1-1-11-1-11-1ii−i−i−i−iii−i−iii11-1-1-11−ii−ii−i−i−i−iiiii1-11-111-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-111111111-11−iii−i1-1-11i−i−ii1-11-1−ii1-1−ii-11i−i−ii1-1-11i−i−ii1-1i−i-11
χ291-11-111−ii−ii1-1-11-1-11-1−i−iii−i−iii−i−iii11-1-11-1−ii−ii−i−i−i−iiiii1-11-111-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1-1-11-1−ii−ii1-11-1−ii−ii1-11-1−ii1-1−ii1-1−ii−ii1-11-1−ii−ii1-1−ii1-1
χ301-11-111−ii−ii1-1-11-1-11-1−i−iii−i−iii−i−iii11-1-11-1−ii−ii−i−i−i−iiiii1-11-111-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1-1-11-1−ii−ii1-1-11i−ii−i-11-11i−i-11i−i1-1−ii−ii1-1-11i−ii−i-11i−i-11
χ311-11-111−ii−ii1-1-11-1-11-1−i−iii−i−iii−i−iii11-1-11-1−ii−ii−i−i−i−iiiii1-11-111-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1-1-1-11i−ii−i-111-1−ii−ii1-1-11i−i-11i−i-11i−ii−i-111-1−ii−ii1-1i−i-11
χ321-11-111−ii−ii1-1-11-1-11-1−i−iii−i−iii−i−iii11-1-11-1−ii−ii−i−i−i−iiiii1-11-111-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1-1-1-11i−ii−i-11-11i−ii−i-111-1−ii1-1−ii-11i−ii−i-11-11i−ii−i-11−ii1-1
χ3322222222-2-2-2-222222200002222-2-2-2-222220022-2-222-2-222-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000022-2-2-2-22200000000000000000000
χ3422222222-2-2-2-222222200002222-2-2-2-222220022-2-222-2-222-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000-2-22222-2-200000000000000000000
χ35222222-2-222-2-22222220000-2-2-2-22222222200-2-222-2-222-2-222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000002222-2-2-2-200000000000000000000
χ36222222-2-222-2-22222220000-2-2-2-22222222200-2-222-2-222-2-222-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000-2-2-2-2222200000000000000000000
χ3722222-12222222-1-1-12222222222-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222222220000000000000000-1-1-1-1-1-1-1-1000000000000
χ3822222-12222222-1-1-12222222222-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2-2-2000000000000000011111111000000000000
χ3922222-12222222-1-1-122-2-2-2-22222-1-1-1-1-1-1-1-1-2-2-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2111111-2-2111111-2-2111111-2-211111122-2-222-2-20000000000000000-1-1-1-11111000000000000
χ4022222-12222222-1-1-122-2-2-2-22222-1-1-1-1-1-1-1-1-2-2-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2111111-2-2111111-2-2111111-2-2111111-2-222-2-22200000000000000001111-1-1-1-1000000000000
χ4122222-1-2-2-2-2222-1-1-1222222-2-2-2-21111-1-1-1-1-2-211-2-211111111-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-21111112222-2-2-2-20000000000000000-1-111-1-111000000000000
χ4222222-1-2-2-2-2222-1-1-1222222-2-2-2-21111-1-1-1-1-2-211-2-211111111-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-2111111-2-2-2-22222000000000000000011-1-111-1-1000000000000
χ4322222-1-2-2-2-2222-1-1-122-2-2-2-2-2-2-2-21111-1-1-1-12211-2-211111111-1-122-1-1-1-1-2-2111111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-122-2-2-2-2220000000000000000-1-11111-1-1000000000000
χ4422222-1-2-2-2-2222-1-1-122-2-2-2-2-2-2-2-21111-1-1-1-12211-2-211111111-1-122-1-1-1-1-2-2111111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-1-2-22222-2-2000000000000000011-1-1-1-111000000000000
χ452222-12222222-1222-1-12222-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100000000222222220000000000000000-1-1-1-1-1-1-1-10000
χ462222-12222222-1222-1-12222-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100000000-2-2-2-2-2-2-2-20000000000000000111111110000
χ472222-12222222-1222-1-1-2-2-2-2-1-1-1-12222-1-1-1-1-2-222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-111-2-2111111-2-2111111-2-2111111-2-21111000000002222-2-2-2-20000000000000000-1-1-1-111110000
χ482222-12222222-1222-1-1-2-2-2-2-1-1-1-12222-1-1-1-1-2-222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-111-2-2111111-2-2111111-2-2111111-2-2111100000000-2-2-2-2222200000000000000001111-1-1-1-10000
χ492222-12-2-2-2-222-1222-1-122221111-2-2-2-2-1-1-1-1-2-2-2-2111111111122-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-211110000000022-2-222-2-20000000000000000-1-111-1-1110000
χ502222-12-2-2-2-222-1222-1-122221111-2-2-2-2-1-1-1-1-2-2-2-2111111111122-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-2111100000000-2-222-2-222000000000000000011-1-111-1-10000
χ512222-12-2-2-2-222-1222-1-1-2-2-2-21111-2-2-2-2-1-1-1-122-2-2111111111122-1-1-1-1-1-111-2-2111111-2-21111-1-122-1-1-1-1-1-122-1-1-1-10000000022-2-2-2-2220000000000000000-1-11111-1-10000
χ522222-12-2-2-2-222-1222-1-1-2-2-2-21111-2-2-2-2-1-1-1-122-2-2111111111122-1-1-1-1-1-111-2-2111111-2-21111-1-122-1-1-1-1-1-122-1-1-1-100000000-2-22222-2-2000000000000000011-1-1-1-1110000
χ532-22-2222i−2i−2i2i-22-22-2-22-200002i2i−2i−2i−2i−2i2i2i22-2-2002i−2i−2i2i2i2i−2i−2i−2i−2i2i2i-22-22-2-2220000000000000000000000000000000000000000000000002-2−2i2i-222i−2i00000000000000000000
χ542-22-2222i−2i−2i2i-22-22-2-22-200002i2i−2i−2i−2i−2i2i2i22-2-2002i−2i−2i2i2i2i−2i−2i−2i−2i2i2i-22-22-2-222000000000000000000000000000000000000000000000000-222i−2i2-2−2i2i00000000000000000000
χ552-22-222−2i2i2i−2i-22-22-2-22-20000−2i−2i2i2i2i2i−2i−2i22-2-200−2i2i2i−2i−2i−2i2i2i2i2i−2i−2i-22-22-2-2220000000000000000000000000000000000000000000000002-22i−2i-22−2i2i00000000000000000000
χ562-22-222−2i2i2i−2i-22-22-2-22-20000−2i−2i2i2i2i2i−2i−2i22-2-200−2i2i2i−2i−2i−2i2i2i2i2i−2i−2i-22-22-2-222000000000000000000000000000000000000000000000000-22−2i2i2-22i−2i00000000000000000000
χ572-22-22-12i−2i2i−2i2-2-2-1112-22i2i−2i−2i2i2i−2i−2i−i−iii-1-1112-2−ii2i−2i−i−i−i−iiiii-112-2-1-1112i2i−i−i−i−i−i−i−2i−2iiiiiii22-1-1-1-1-1-1-2-21111112-22i−2i2i−2i2-20000000000000000-11−ii−ii-11000000000000
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χ1264-4-44-2-2000000222-22-2−2i22i22i2−2i223−23−23232i3−2i3−2i32i31-1-11000000−33−i3i33−3i3−i300003i−3i−3i3ii2−i2i2−i2−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−i2i2−i2i22ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ23−i6i6−66ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23i6−i66−6−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300000000000000000000000000000000000000000000
χ1274-4-44-2-2000000222-22-2−2i22i22i2−2i2−232323−23−2i32i32i3−2i31-1-110000003−3i3−i3−33−i3i300003i−3i−3i3ii2−i2i2−i2−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−i2i2−i2i22ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ23i6−i66−6−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−i6i6−66ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300000000000000000000000000000000000000000000
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χ1314-4-44-2-2000000222-22-22i2−2i2−2i22i2−232323−23−2i32i32i3−2i31-1-110000003−3i3−i3−33−i3i300003i−3i−3i3i−i2i2−i2i22ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ23i2−i2i2−i2−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−i6i6−66ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23i6−i66−6−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300000000000000000000000000000000000000000000
χ1324-4-44-2-2000000222-22-22i2−2i2−2i22i2−232323−232i3−2i3−2i32i31-1-110000003−3−i3i3−33i3−i30000−3i3i3i−3i−i2i2−i2i2−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23i2−i2i2−i2ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23−i6i66−6ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13i6−i6−66−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300000000000000000000000000000000000000000000

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