Finite Group Databasebeta

← Group #11777208

Character table — Group #11777208

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size11111111222222222222222222222222222244444444444444444444444444444444444444444444444444444444999999991212121212121212121212121212121218181818181818181818181824242424242424242424242424242424
order12224444334444666666888888881212121212121212366612121212121212121212121212121212121212122424242424242424242424242424242424242424242424242424242424242424888888882244444488888888888888888888661212121212122424242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ811111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ91111-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i11-1-111-1-1ii−i−iii−i−iii−i−iiiii−i−i−i−i11-1-111-1-1ii−i−iii−i−i
χ101111-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-111-1-111−i−iii−i−iiiii−i−iiiii−i−i−i−i-1-111-1-111−i−iii−i−iii
χ111111-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii11-1-111-1-1−i−iii−i−iii−i−iii−i−i−i−iiiii11-1-111-1-1−i−iii−i−iii
χ121111-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-111-1-111ii−i−iii−i−i−i−iii−i−i−i−iiiii-1-111-1-111ii−i−iii−i−i
χ131111-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111iiii−i−i−i−i11-1-1-1-111ii−i−i−i−iiiii−i−i−i−i−i−iiiii11-1-1-1-111ii−i−i−i−iii
χ141111-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111iiii−i−i−i−i-1-11111-1-1−i−iiiii−i−iii−i−i−i−i−i−iiiii-1-11111-1-1−i−iiiii−i−i
χ151111-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−i−i−iiiii11-1-1-1-111−i−iiiii−i−i−i−iiiiiii−i−i−i−i11-1-1-1-111−i−iiiii−i−i
χ161111-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−i−i−iiiii-1-11111-1-1ii−i−i−i−iii−i−iiiiiii−i−i−i−i-1-11111-1-1ii−i−i−i−iii
χ1711-1-1ii−i−i111-1i−i1-1-11-1-111-1-1ii−i−iii−i−iii−i−i11-1-1i−ii−iiiii−i−i−i−i1-11-111-1-111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iζζ−ζ−ζζ3ζ3−ζ3−ζ31-1i−i1-1i−iζ−ζζ3−ζ3ζ−ζζ3−ζ3ζ−ζζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ31-1i−i1-1i−iζ−ζζ3−ζ3ζ−ζζ3−ζ3
χ1811-1-1ii−i−i111-1i−i1-1-11-1-111-1-1ii−i−iii−i−iii−i−i11-1-1i−ii−iiiii−i−i−i−i1-11-111-1-111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iζζ−ζ−ζζ3ζ3−ζ3−ζ3-11−ii-11−ii−ζζ−ζ3ζ3−ζζ−ζ3ζ3ζ−ζζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3-11−ii-11−ii−ζζ−ζ3ζ3−ζζ−ζ3ζ3
χ1911-1-1ii−i−i111-1i−i1-1-11-1-111-1-1ii−i−iii−i−iii−i−i11-1-1i−ii−iiiii−i−i−i−i1-11-111-1-111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−ζ−ζζζ−ζ3−ζ3ζ3ζ31-1i−i1-1i−i−ζζ−ζ3ζ3−ζζ−ζ3ζ3−ζζ−ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ31-1i−i1-1i−i−ζζ−ζ3ζ3−ζζ−ζ3ζ3
χ2011-1-1ii−i−i111-1i−i1-1-11-1-111-1-1ii−i−iii−i−iii−i−i11-1-1i−ii−iiiii−i−i−i−i1-11-111-1-111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−ζ−ζζζ−ζ3−ζ3ζ3ζ3-11−ii-11−iiζ−ζζ3−ζ3ζ−ζζ3−ζ3−ζζ−ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3-11−ii-11−iiζ−ζζ3−ζ3ζ−ζζ3−ζ3
χ2111-1-1ii−i−i111-1i−i1-1-11-1-1-1-111−i−iiiii−i−iii−i−i11-1-1i−ii−iiiii−i−i−i−i1-11-111-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiζζ−ζ−ζζ3ζ3−ζ3−ζ31-1i−i-11−iiζ−ζζ3−ζ3−ζζ−ζ3ζ3ζ−ζζ3−ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ31-1i−i-11−iiζ−ζζ3−ζ3−ζζ−ζ3ζ3
χ2211-1-1ii−i−i111-1i−i1-1-11-1-1-1-111−i−iiiii−i−iii−i−i11-1-1i−ii−iiiii−i−i−i−i1-11-111-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiζζ−ζ−ζζ3ζ3−ζ3−ζ3-11−ii1-1i−i−ζζ−ζ3ζ3ζ−ζζ3−ζ3ζ−ζζ3−ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3-11−ii1-1i−i−ζζ−ζ3ζ3ζ−ζζ3−ζ3
χ2311-1-1ii−i−i111-1i−i1-1-11-1-1-1-111−i−iiiii−i−iii−i−i11-1-1i−ii−iiiii−i−i−i−i1-11-111-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii−ζ−ζζζ−ζ3−ζ3ζ3ζ31-1i−i-11−ii−ζζ−ζ3ζ3ζ−ζζ3−ζ3−ζζ−ζ3ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ31-1i−i-11−ii−ζζ−ζ3ζ3ζ−ζζ3−ζ3
χ2411-1-1ii−i−i111-1i−i1-1-11-1-1-1-111−i−iiiii−i−iii−i−i11-1-1i−ii−iiiii−i−i−i−i1-11-111-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii−ζ−ζζζ−ζ3−ζ3ζ3ζ3-11−ii1-1i−iζ−ζζ3−ζ3−ζζ−ζ3ζ3−ζζ−ζ3ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3-11−ii1-1i−iζ−ζζ3−ζ3−ζζ−ζ3ζ3
χ2511-1-1−i−iii111-1−ii1-1-11-1-111-1-1−i−iii−i−iii−i−iii11-1-1−ii−ii−i−i−i−iiiii1-11-111-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiζ3ζ3−ζ3−ζ3ζζ−ζ−ζ1-1−ii1-1−iiζ3−ζ3ζ−ζζ3−ζ3ζ−ζζ3−ζ3ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ1-1−ii1-1−iiζ3−ζ3ζ−ζζ3−ζ3ζ−ζ
χ2611-1-1−i−iii111-1−ii1-1-11-1-111-1-1−i−iii−i−iii−i−iii11-1-1−ii−ii−i−i−i−iiiii1-11-111-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiζ3ζ3−ζ3−ζ3ζζ−ζ−ζ-11i−i-11i−i−ζ3ζ3−ζζ−ζ3ζ3−ζζζ3−ζ3ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ-11i−i-11i−i−ζ3ζ3−ζζ−ζ3ζ3−ζζ
χ2711-1-1−i−iii111-1−ii1-1-11-1-111-1-1−i−iii−i−iii−i−iii11-1-1−ii−ii−i−i−i−iiiii1-11-111-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−ζ3−ζ3ζ3ζ3−ζ−ζζζ1-1−ii1-1−ii−ζ3ζ3−ζζ−ζ3ζ3−ζζ−ζ3ζ3−ζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ1-1−ii1-1−ii−ζ3ζ3−ζζ−ζ3ζ3−ζζ
χ2811-1-1−i−iii111-1−ii1-1-11-1-111-1-1−i−iii−i−iii−i−iii11-1-1−ii−ii−i−i−i−iiiii1-11-111-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−ζ3−ζ3ζ3ζ3−ζ−ζζζ-11i−i-11i−iζ3−ζ3ζ−ζζ3−ζ3ζ−ζ−ζ3ζ3−ζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ-11i−i-11i−iζ3−ζ3ζ−ζζ3−ζ3ζ−ζ
χ2911-1-1−i−iii111-1−ii1-1-11-1-1-1-111ii−i−i−i−iii−i−iii11-1-1−ii−ii−i−i−i−iiiii1-11-111-1-1-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−iζ3ζ3−ζ3−ζ3ζζ−ζ−ζ1-1−ii-11i−iζ3−ζ3ζ−ζ−ζ3ζ3−ζζζ3−ζ3ζ−ζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ1-1−ii-11i−iζ3−ζ3ζ−ζ−ζ3ζ3−ζζ
χ3011-1-1−i−iii111-1−ii1-1-11-1-1-1-111ii−i−i−i−iii−i−iii11-1-1−ii−ii−i−i−i−iiiii1-11-111-1-1-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−iζ3ζ3−ζ3−ζ3ζζ−ζ−ζ-11i−i1-1−ii−ζ3ζ3−ζζζ3−ζ3ζ−ζζ3−ζ3ζ−ζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ-11i−i1-1−ii−ζ3ζ3−ζζζ3−ζ3ζ−ζ
χ3111-1-1−i−iii111-1−ii1-1-11-1-1-1-111ii−i−i−i−iii−i−iii11-1-1−ii−ii−i−i−i−iiiii1-11-111-1-1-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−ζ3−ζ3ζ3ζ3−ζ−ζζζ1-1−ii-11i−i−ζ3ζ3−ζζζ3−ζ3ζ−ζ−ζ3ζ3−ζζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ1-1−ii-11i−i−ζ3ζ3−ζζζ3−ζ3ζ−ζ
χ3211-1-1−i−iii111-1−ii1-1-11-1-1-1-111ii−i−i−i−iii−i−iii11-1-1−ii−ii−i−i−i−iiiii1-11-111-1-1-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−ζ3−ζ3ζ3ζ3−ζ−ζζζ-11i−i1-1−iiζ3−ζ3ζ−ζ−ζ3ζ3−ζζ−ζ3ζ3−ζζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ-11i−i1-1−iiζ3−ζ3ζ−ζ−ζ3ζ3−ζζ
χ332222222222-2-2-2-222222200000000222222222222-2-2-2-222-2-222-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000222222220000000000000000-2-2-2-2000000000000000000000000
χ342222222222-2-2-2-222222200000000222222222222-2-2-2-222-2-222-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000-2-2-2-2-2-2-2-200000000000000002222000000000000000000000000
χ35222222222-12222222-1-1-122222222-1-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000002222222200000000000000000000-1-1-1-1-1-1-1-100000000
χ36222222222-12222222-1-1-122222222-1-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100000000-2-2-2-2-2-2-2-2000000000000000000001111111100000000
χ37222222222-12222222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-2111111-2-2111111-2-2111111000000002222-2-2-2-200000000000000000000-1-1-1-1111100000000
χ38222222222-12222222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-2111111-2-2111111-2-211111100000000-2-2-2-22222000000000000000000001111-1-1-1-100000000
χ3922222222-122222-1-1-1222222222222222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100000000000000002222222200000000000000000000-1-1-1-1-1-1-1-1
χ4022222222-122222-1-1-1222222222222222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000000000000000-2-2-2-2-2-2-2-20000000000000000000011111111
χ4122222222-122222-1-1-1222-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-111-2-2111111-2-2111111-2-2111111-2-2111100000000000000002222-2-2-2-200000000000000000000-1-1-1-11111
χ4222222222-122222-1-1-1222-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-111-2-2111111-2-2111111-2-2111111-2-211110000000000000000-2-2-2-22222000000000000000000001111-1-1-1-1
χ432222-2-2-2-222-2-22222222200000000-2-2-2-2-2-2-2-222222222-2-222-2-222-2-2-2-2-2-2-2-2000000000000000000000000000000002i2i2i2i−2i−2i−2i−2i0000000000000000−2i−2i2i2i000000000000000000000000
χ442222-2-2-2-222-2-22222222200000000-2-2-2-2-2-2-2-222222222-2-222-2-222-2-2-2-2-2-2-2-200000000000000000000000000000000−2i−2i−2i−2i2i2i2i2i00000000000000002i2i−2i−2i000000000000000000000000
χ452222-2-2-2-22-122-2-2222-1-1-12222-2-2-2-21111-2-2-2-2-1-1-1-1-2-2111111111122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-21111110000000022-2-222-2-200000000000000000000-1-111-1-11100000000
χ462222-2-2-2-22-122-2-2222-1-1-12222-2-2-2-21111-2-2-2-2-1-1-1-1-2-2111111111122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-211111100000000-2-222-2-2220000000000000000000011-1-111-1-100000000
χ472222-2-2-2-22-122-2-2222-1-1-1-2-2-2-222221111-2-2-2-2-1-1-1-1-2-2111111111122-1-1-1-1-1-1-2-2111111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-10000000022-2-2-2-22200000000000000000000-1-11111-1-100000000
χ482222-2-2-2-22-122-2-2222-1-1-1-2-2-2-222221111-2-2-2-2-1-1-1-1-2-2111111111122-1-1-1-1-1-1-2-2111111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-100000000-2-22222-2-20000000000000000000011-1-1-1-11100000000
χ492222-2-2-2-2-1222-2-2-1-1-12222222-2-2-2-2-2-2-2-21111-1-1-1-111-2-211111111-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-2111100000000000000002i2i−2i−2i2i2i−2i−2i00000000000000000000−i−iii−i−iii
χ502222-2-2-2-2-1222-2-2-1-1-12222222-2-2-2-2-2-2-2-21111-1-1-1-111-2-211111111-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-211110000000000000000−2i−2i2i2i−2i−2i2i2i00000000000000000000ii−i−iii−i−i
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Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.