Finite Group Databasebeta

← Group #11787574

Character table — Group #11787574

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150
size1111111122222222222222222222222222222222222244444444444444444444444444444444444444444444444444444444888888888888888888888888888888888818181818363636363636363636367272
order12222222333344446666666666666666666666666666444488881212121212121212121212121212121224242424242424242424242424242424242424242424242424242424242424244412121212121212121212121212121212121212121212121212121212121212124444444444888822
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-111111111-1-1
χ9111-1-1-1-1111111-11-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1ii−i−i11-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iii−i−ii−i11-1-1ii−i−i1-1
χ10111-1-1-1-1111111-11-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1ii−i−i11-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−iii−ii-1-111−i−iii-11
χ11111-1-1-1-1111111-11-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1ii−i−i-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−iiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−ii−i11-1-1−i−iii-11
χ12111-1-1-1-1111111-11-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1ii−i−i-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−iiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−iii−ii-1-111ii−i−i1-1
χ13111-1-1-1-1111111-11-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1−i−iii11-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiiiii−i−ii−i-1-111ii−i−i-11
χ14111-1-1-1-1111111-11-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1−i−iii11-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−iii−ii11-1-1−i−iii1-1
χ15111-1-1-1-1111111-11-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1−i−iii-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−iii−i−ii−i-1-111−i−iii1-1
χ16111-1-1-1-1111111-11-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1−i−iii-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−iii−ii11-1-1ii−i−i-11
χ17222222222222-2-2-2-2222222222222222222222222222200000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000000000002222-2-20000000000
χ18222222222222-2-2-2-2222222222222222222222222222200000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000-2-2-2-2220000000000
χ19222222222-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1222222222-1-1-122-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000000000000000
χ20222222222-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-12222-2-2-2-22-1-1-122-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111-2-222-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-21111110000000000000000
χ21222222222-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1-2-2-2-222222-1-1-122-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111-2-2111111-2-2111111-2-21111110000000000000000
χ22222222222-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2-2-22-1-1-122-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-211111111111122-2-2111111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-10000000000000000
χ2322222222-12-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-122222222-12-1-1-1-122-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000000000000000
χ2422222222-12-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-12222-2-2-2-2-12-1-1-1-122-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-211111111-2-2-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-211110000000000000000
χ2522222222-12-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-2-2-2-22222-12-1-1-1-122-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-211-2-2111111-2-2111111-2-2111111-2-211110000000000000000
χ2622222222-12-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-2-2-2-2-2-2-2-2-12-1-1-1-122-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-2111111112211-2-2111111-2-21111-1-122-1-1-1-1-1-122-1-1-1-10000000000000000
χ2722222222-1-12-12222-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-122222222-1-12-1-1-1-1-122-1-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-10000000000000000
χ2822222222-1-12-12222-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-12222-2-2-2-2-1-12-1-1-1-1-122-1-1-1-12-111111111-2-2-2-2111111111111-2-2-2-21111-2-2-1-1-1-122-1-1-1-1-1-122-1-11111-2-2111111-2-2110000000000000000
χ2922222222-1-12-12222-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-2-2-2-22222-1-12-1-1-1-1-122-1-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-21111-2-2111111-2-2111111-2-2111111-2-2110000000000000000
χ3022222222-1-12-12222-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-2-2-2-2-2-2-2-2-1-12-1-1-1-1-122-1-1-1-12-111111111-2-2-2-2111111111111-2-2-2-21111221111-2-2111111-2-211-1-1-1-122-1-1-1-1-1-122-1-10000000000000000
χ3122222222-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-1-1-1-12222222222-1-1-12-1-1-1-1-1-122-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1220000000000000000
χ3222222222-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-1-1-1-1222222-2-2-2-2-1-1-12-1-1-1-1-1-122-1-1-12111111111111-2-2-2-2111111111111-2-2-2-2-2-2-1-1-1-1-1-122-1-1-1-1-1-122111111-2-2111111-2-20000000000000000
χ3322222222-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122-2-2-2-22222-1-1-12-1-1-1-1-1-122-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-2-2111111-2-2111111-2-2111111-2-2111111-2-20000000000000000
χ3422222222-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-12-1-1-1-1-1-122-1-1-12111111111111-2-2-2-2111111111111-2-2-2-222111111-2-2111111-2-2-1-1-1-1-1-122-1-1-1-1-1-1220000000000000000
χ35222-2-2-2-222222-22-2222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-200000000-2-2-2-222222222-2-2-2-20000000000000000000000000000000000000000000000000000000000000000002i2i−2i−2i−2i2i0000000000
χ36222-2-2-2-222222-22-2222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-200000000-2-2-2-222222222-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000−2i−2i2i2i2i−2i0000000000
χ37222-2-2-2-222-1-1-12-22-222-1-1-1-1-1-1-2-21111112-1-1-1-2-21111112i2i−2i−2i22-2-22-1-1-1-2-21111112-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111112i−2i2i2i−i−i−i−i−i−i−2i−2iiiiiii2i2i−i−i−i−i−i−i−2i−2iiiiiii0000000000000000
χ38222-2-2-2-222-1-1-12-22-222-1-1-1-1-1-1-2-21111112-1-1-1-2-21111112i2i−2i−2i-2-2222-1-1-1-2-21111112-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-1−2i2i2i2i−i−i−i−i−i−i−2i−2iiiiiii−2i−2iiiiiii2i2i−i−i−i−i−i−i0000000000000000
χ39222-2-2-2-222-1-1-12-22-222-1-1-1-1-1-1-2-21111112-1-1-1-2-2111111−2i−2i2i2i22-2-22-1-1-1-2-21111112-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111−2i2i−2i−2iiiiiii2i2i−i−i−i−i−i−i−2i−2iiiiiii2i2i−i−i−i−i−i−i0000000000000000
χ40222-2-2-2-222-1-1-12-22-222-1-1-1-1-1-1-2-21111112-1-1-1-2-2111111−2i−2i2i2i-2-2222-1-1-1-2-21111112-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-12i−2i−2i−2iiiiiii2i2i−i−i−i−i−i−i2i2i−i−i−i−i−i−i−2i−2iiiiiii0000000000000000
χ41222-2-2-2-22-12-1-12-22-2-1-122-1-1-1-111-2-21111-12-1-111-2-211112i2i−2i−2i22-2-2-12-1-111-2-21111-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111112i−2i−i−i2i2i−i−i−i−iii−2i−2iiiii−i−i2i2i−i−i−i−iii−2i−2iiiii0000000000000000
χ42222-2-2-2-22-12-1-12-22-2-1-122-1-1-1-111-2-21111-12-1-111-2-211112i2i−2i−2i-2-222-12-1-111-2-21111-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1−2i2i−i−i2i2i−i−i−i−iii−2i−2iiiiiii−2i−2iiiii−i−i2i2i−i−i−i−i0000000000000000
χ43222-2-2-2-22-12-1-12-22-2-1-122-1-1-1-111-2-21111-12-1-111-2-21111−2i−2i2i2i22-2-2-12-1-111-2-21111-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111−2i2iii−2i−2iiiii−i−i2i2i−i−i−i−iii−2i−2iiiii−i−i2i2i−i−i−i−i0000000000000000
χ44222-2-2-2-22-12-1-12-22-2-1-122-1-1-1-111-2-21111-12-1-111-2-21111−2i−2i2i2i-2-222-12-1-111-2-21111-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-12i−2iii−2i−2iiiii−i−i2i2i−i−i−i−i−i−i2i2i−i−i−i−iii−2i−2iiiii0000000000000000
χ45222-2-2-2-22-1-12-12-22-2-1-1-1-122-1-11111-2-211-1-12-11111-2-2112i2i−2i−2i22-2-2-1-12-11111-2-211-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-111111111-2-2-2-211112i−2i−i−i−i−i2i2i−i−iiiii−2i−2iii−i−i−i−i2i2i−i−iiiii−2i−2iii0000000000000000
χ46222-2-2-2-22-1-12-12-22-2-1-1-1-122-1-11111-2-211-1-12-11111-2-2112i2i−2i−2i-2-222-1-12-11111-2-211-1-12-111111111-2-2-2-21111-1-1-1-1-1-1-1-12222-1-1-1-1−2i2i−i−i−i−i2i2i−i−iiiii−2i−2iiiiiii−2i−2iii−i−i−i−i2i2i−i−i0000000000000000
χ47222-2-2-2-22-1-12-12-22-2-1-1-1-122-1-11111-2-211-1-12-11111-2-211−2i−2i2i2i22-2-2-1-12-11111-2-211-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-111111111-2-2-2-21111−2i2iiiii−2i−2iii−i−i−i−i2i2i−i−iiiii−2i−2iii−i−i−i−i2i2i−i−i0000000000000000
χ48222-2-2-2-22-1-12-12-22-2-1-1-1-122-1-11111-2-211-1-12-11111-2-211−2i−2i2i2i-2-222-1-12-11111-2-211-1-12-111111111-2-2-2-21111-1-1-1-1-1-1-1-12222-1-1-1-12i−2iiiii−2i−2iii−i−i−i−i2i2i−i−i−i−i−i−i2i2i−i−iiiii−2i−2iii0000000000000000
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χ1344-44-44-44-444440000-44-44-44-44-4-4-4-4-4-4-4-4-4-4-4-4444444440000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1464-4-444-4-44-2-2-24-4-444222222-4-4-22-22-224-4-2-2-242-22-22-2-4400000000222-42-22-22-2-44-2-2-240000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1484-4-4-4-4444-24-2-2-444-422-4-422222-2-442-22-2-24-2-2-224-4-22-22000000002-422-224-4-22-22-24-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1494-4-4-4-4444-2-24-2-444-42222-4-4222-22-2-442-2-2-24-2-22-224-4-220000000022-42-22-224-4-22-2-24-20000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1504-4-4-4-4444-2-2-24-444-4222222-4-42-22-22-2-44-2-2-24-22-22-224-400000000222-4-22-22-224-4-2-2-240000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).