Finite Group Databasebeta

← Group #11802497

Character table — Group #11802497

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size11111111222222222222222222223333333344444444444444444444444444446666666666666666666688888888888888881212121212121212121212121212121212121212121212121212121218181818181818182424242436363636
order1222222233444466666666666666444444443444466666661212121212121212121212121212121244444444444412121212121212121212121212121212121212121212121244444444121212121212121212121212121212121212121244444444121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
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
χ71111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1
χ91111111111-1-1-1-11111111111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-111-1-1
χ101111111111-1-1-1-11111111111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111
χ111111111111-1-1-1-111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-111
χ121111111111-1-1-1-111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ131111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-111
χ141111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ151111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ161111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111
χ1711-1-1-111-11111-1-111-1-1-111-1-1-1-1-111iiii−i−i−i−i1i−ii−i11-1-1-11-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−iii−i−iiiii−i−i−i−ii−ii−i11-1-1ii−i−iii−i−i1-11-11-11-1ii−i−iii−i−iii−i−i11-1-111-1-111-1-111-1-11-11-1i−ii−i
χ1811-1-1-111-11111-1-111-1-1-111-1-1-1-1-111iiii−i−i−i−i1i−ii−i11-1-1-11-11111-1-1-1-1ii−i−iii−i−iii−i−i−i−iii−i−iiiiiii−i−i−i−ii−ii−i11-1-1ii−i−iii−i−i1-11-1-11-11ii−i−i−i−iii−i−iii11-1-111-1-1-1-111-1-111-11-11−ii−ii
χ1911-1-1-111-11111-1-111-1-1-111-1-1-1-1-111iiii−i−i−i−i1−ii−ii11-1-1-11-11111-1-1-1-1−i−iii−i−iiiii−i−iii−i−iii−i−iiiii−i−i−i−i−ii−ii11-1-1−i−iii−i−iii-11-11-11-11ii−i−iii−i−iii−i−i-1-111-1-11111-1-111-1-1-11-11−ii−ii
χ2011-1-1-111-11111-1-111-1-1-111-1-1-1-1-111iiii−i−i−i−i1−ii−ii11-1-1-11-11111-1-1-1-1−i−iii−i−iiiii−i−i−i−iii−i−iiiiiii−i−i−i−i−ii−ii11-1-1−i−iii−i−iii-11-111-11-1ii−i−i−i−iii−i−iii-1-111-1-111-1-111-1-1111-11-1i−ii−i
χ2111-1-1-111-11111-1-111-1-1-111-1-1-1-1-111−i−i−i−iiiii1i−ii−i11-1-1-11-11111-1-1-1-1ii−i−iii−i−i−i−iiiii−i−iii−i−i−i−i−i−iiiiii−ii−i11-1-1ii−i−iii−i−i-11-111-11-1−i−iiiii−i−iii−i−i-1-111-1-111-1-111-1-1111-11-1−ii−ii
χ2211-1-1-111-11111-1-111-1-1-111-1-1-1-1-111−i−i−i−iiiii1i−ii−i11-1-1-11-11111-1-1-1-1ii−i−iii−i−i−i−iii−i−iii−i−iii−i−i−i−iiiiii−ii−i11-1-1ii−i−iii−i−i-11-11-11-11−i−iii−i−iii−i−iii-1-111-1-11111-1-111-1-1-11-11i−ii−i
χ2311-1-1-111-11111-1-111-1-1-111-1-1-1-1-111−i−i−i−iiiii1−ii−ii11-1-1-11-11111-1-1-1-1−i−iii−i−iii−i−iiiii−i−iii−i−i−i−i−i−iiiii−ii−ii11-1-1−i−iii−i−iii1-11-1-11-11−i−iiiii−i−iii−i−i11-1-111-1-1-1-111-1-111-11-11i−ii−i
χ2411-1-1-111-11111-1-111-1-1-111-1-1-1-1-111−i−i−i−iiiii1−ii−ii11-1-1-11-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−i−i−iiiii−ii−ii11-1-1−i−iii−i−iii1-11-11-11-1−i−iii−i−iii−i−iii11-1-111-1-111-1-111-1-11-11-1−ii−ii
χ2511-1-1-111-111-1-11111-1-1-111-1-1-1-1-111iiii−i−i−i−i1i−i−ii11-1-1-11-1-1-1-1-11111ii−i−i−i−iii−i−iiiii−i−i−i−iiiiiii−i−i−i−ii−i−ii-1-111ii−i−i−i−iii1-1-111-1-11−i−iii−i−iiiii−i−i11-1-1-1-11111-1-1-1-1111-1-11i−i−ii
χ2611-1-1-111-111-1-11111-1-1-111-1-1-1-1-111iiii−i−i−i−i1i−i−ii11-1-1-11-1-1-1-1-11111ii−i−i−i−iii−i−iii−i−iiiii−i−iiiii−i−i−i−ii−i−ii-1-111ii−i−i−i−iii1-1-11-111-1−i−iiiii−i−i−i−iii11-1-1-1-111-1-11111-1-1-111-1−iii−i
χ2711-1-1-111-111-1-11111-1-1-111-1-1-1-1-111iiii−i−i−i−i1−iii−i11-1-1-11-1-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i−i−iiiiiii−i−i−i−i−iii−i-1-111−i−iiiii−i−i-111-1-111-1−i−iii−i−iiiii−i−i-1-11111-1-111-1-1-1-111-111-1−iii−i
χ2811-1-1-111-111-1-11111-1-1-111-1-1-1-1-111iiii−i−i−i−i1−iii−i11-1-1-11-1-1-1-1-11111−i−iiiii−i−i−i−iii−i−iiiii−i−iiiii−i−i−i−i−iii−i-1-111−i−iiiii−i−i-111-11-1-11−i−iiiii−i−i−i−iii-1-11111-1-1-1-11111-1-11-1-11i−i−ii
χ2911-1-1-111-111-1-11111-1-1-111-1-1-1-1-111−i−i−i−iiiii1i−i−ii11-1-1-11-1-1-1-1-11111ii−i−i−i−iiiii−i−iii−i−i−i−iii−i−i−i−iiiiii−i−ii-1-111ii−i−i−i−iii-111-11-1-11ii−i−i−i−iiiii−i−i-1-11111-1-1-1-11111-1-11-1-11−iii−i
χ3011-1-1-111-111-1-11111-1-1-111-1-1-1-1-111−i−i−i−iiiii1i−i−ii11-1-1-11-1-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i−i−iiiiii−i−ii-1-111ii−i−i−i−iii-111-1-111-1ii−i−iii−i−i−i−iii-1-11111-1-111-1-1-1-111-111-1i−i−ii
χ3111-1-1-111-111-1-11111-1-1-111-1-1-1-1-111−i−i−i−iiiii1−iii−i11-1-1-11-1-1-1-1-11111−i−iiiii−i−iii−i−iii−i−i−i−iii−i−i−i−iiiii−iii−i-1-111−i−iiiii−i−i1-1-11-111-1ii−i−i−i−iiiii−i−i11-1-1-1-111-1-11111-1-1-111-1i−i−ii
χ3211-1-1-111-111-1-11111-1-1-111-1-1-1-1-111−i−i−i−iiiii1−iii−i11-1-1-11-1-1-1-1-11111−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−i−i−iiiii−iii−i-1-111−i−iiiii−i−i1-1-111-1-11ii−i−iii−i−i−i−iii11-1-1-1-11111-1-1-1-1111-1-11−iii−i
χ33222222222-122222-122-12-1-12-1-122-122222222-12222-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1222200000000-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-100000000-1-1-1-1-1-1-1-10000000000000000
χ34222222222-122222-122-12-1-12-1-122-122222222-1-2-2-2-2-1-1-1-1-1-1-122-1-122-1-111111111222200000000-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111-2-2-2-20000-1-1-1-100000000111111110000000000000000
χ35222222222-122222-122-12-1-12-1-122-1-2-2-2-2-2-2-2-2-12222-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-200000000111111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000111100000000111111110000000000000000
χ36222222222-122222-122-12-1-12-1-122-1-2-2-2-2-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-122-1-122-1-111111111-2-2-2-20000000011111111-2-2-2-2-1-1-1-11111111122220000111100000000-1-1-1-1-1-1-1-10000000000000000
χ37222222222-1-2-2-2-22-122-12-1-12-1-122-122222222-122-2-2-1-1-1-1-1-1-1-2-211-2-211-1-1-1-11111-2-2-2-200000000-1-1-1-1-1-1-1-122-2-21111-1-1-1-1111122-2-20000111100000000-1-1-1-111110000000000000000
χ38222222222-1-2-2-2-22-122-12-1-12-1-122-122222222-1-2-222-1-1-1-1-1-1-1-2-211-2-2111111-1-1-1-1-2-2-2-200000000-1-1-1-1-1-1-1-1-2-22211111111-1-1-1-1-2-22200001111000000001111-1-1-1-10000000000000000
χ39222222222-1-2-2-2-22-122-12-1-12-1-122-1-2-2-2-2-2-2-2-2-122-2-2-1-1-1-1-1-1-1-2-211-2-211-1-1-1-111112222000000001111111122-2-21111-1-1-1-11111-2-2220000-1-1-1-1000000001111-1-1-1-10000000000000000
χ40222222222-1-2-2-2-22-122-12-1-12-1-122-1-2-2-2-2-2-2-2-2-1-2-222-1-1-1-1-1-1-1-2-211-2-2111111-1-1-1-122220000000011111111-2-22211111111-1-1-1-122-2-20000-1-1-1-100000000-1-1-1-111110000000000000000
χ4122222222-122222-12-1-12-122-122-1-1200000000-12222-1-1-1-1-1-1-1-1-122-1-1222222222200002222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022220000-1-1-1-1-1-1-1-10000000000000000-1-1-1-10000
χ4222222222-122222-12-1-12-122-122-1-1200000000-12222-1-1-1-1-1-1-1-1-122-1-122222222220000-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000011111111000000000000000011110000
χ4322222222-122222-12-1-12-122-122-1-1200000000-1-2-2-2-2-1-1-1-1-1-1-1-1-122-1-122-2-2-2-2-2-2-2-2000022222222000000001111-1-1-1-1111111110000-2-2-2-20000-1-1-1-1-1-1-1-1000000000000000011110000
χ4422222222-122222-12-1-12-122-122-1-1200000000-1-2-2-2-2-1-1-1-1-1-1-1-1-122-1-122-2-2-2-2-2-2-2-20000-2-2-2-2-2-2-2-2000000001111-1-1-1-111111111000022220000111111110000000000000000-1-1-1-10000
χ4522222222-12-2-2-2-2-12-1-12-122-122-1-1200000000-122-2-2-1-1-1-1-1-1-111-2-211-2-22222-2-2-2-200002222-2-2-2-200000000-1-1111111-1-1-1-11111000022-2-200001111-1-1-1-10000000000000000-1-1110000
χ4622222222-12-2-2-2-2-12-1-12-122-122-1-1200000000-122-2-2-1-1-1-1-1-1-111-2-211-2-22222-2-2-2-20000-2-2-2-2222200000000-1-1111111-1-1-1-111110000-2-2220000-1-1-1-11111000000000000000011-1-10000
χ4722222222-12-2-2-2-2-12-1-12-122-122-1-1200000000-1-2-222-1-1-1-1-1-1-111-2-211-2-2-2-2-2-2222200002222-2-2-2-20000000011-1-111111111-1-1-1-10000-2-22200001111-1-1-1-1000000000000000011-1-10000
χ4822222222-12-2-2-2-2-12-1-12-122-122-1-1200000000-1-2-222-1-1-1-1-1-1-111-2-211-2-2-2-2-2-222220000-2-2-2-222220000000011-1-111111111-1-1-1-1000022-2-20000-1-1-1-111110000000000000000-1-1110000
χ492222-2-2-2-2222-22-2-2-222-222-2-222-2-2-222-2-222-2-220000-2-222-22-22-22-22-22-2000000002-22-20000000022-2-222-2-200002-22-200000000000000002-22-200000000000000000000000000000000
χ502222-2-2-2-2222-22-2-2-222-222-2-222-2-2-2-2-222-2-22220000-2-222-22-22-22-22-22-200000000-22-2200000000-2-222-2-22200002-22-20000000000000000-22-2200000000000000000000000000000000
χ512222-2-2-2-222-22-22-2-222-222-2-222-2-2-222-2-222-2-220000-2-222-22-2-22-22-22-2200000000-22-220000000022-2-222-2-20000-22-220000000000000000-22-2200000000000000000000000000000000
χ522222-2-2-2-222-22-22-2-222-222-2-222-2-2-2-2-222-2-22220000-2-222-22-2-22-22-22-22000000002-22-200000000-2-222-2-2220000-22-2200000000000000002-22-200000000000000000000000000000000
χ532222-2-2-2-22-12-22-2-212212-11-2-1-1-2-2122-2-222-2-2-1000011-1-11-112-2-112-2-113−33−33−33−32-22-200000000-1-111-1-1110000-11-113−33−33−33−300000000-11-11000000003−33−33−33−30000000000000000
χ542222-2-2-2-22-12-22-2-212212-11-2-1-1-2-2122-2-222-2-2-1000011-1-11-112-2-112-2-11−33−33−33−332-22-200000000-1-111-1-1110000-11-11−33−33−33−3300000000-11-1100000000−33−33−33−330000000000000000
χ552222-2-2-2-22-12-22-2-212212-11-2-1-1-2-21-2-222-2-222-1000011-1-11-112-2-112-2-113−33−33−33−3-22-220000000011-1-111-1-10000-11-113−33−33−33−3000000001-11-100000000−33−33−33−330000000000000000
χ562222-2-2-2-22-12-22-2-212212-11-2-1-1-2-21-2-222-2-222-1000011-1-11-112-2-112-2-11−33−33−33−33-22-220000000011-1-111-1-10000-11-11−33−33−33−33000000001-11-1000000003−33−33−33−30000000000000000
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χ1294-44-4-4-4444-20000-4-24-4-2-4224-22-4424-4-444-4-44-200002-2-22-2220000000000000000000000000000-222-2-222-2000000000000000000000000000000000000000000000000000000000000
χ1304-44-4-4-4444-20000-4-24-4-2-4224-22-442-444-4-444-4-200002-2-22-22200000000000000000000000000002-2-222-2-22000000000000000000000000000000000000000000000000000000000000
χ1314-44-4-4-444-24000024-2242-4-4-24-42-2-400000000-200002-2-22-222000000000000000000004i−4i4i−4i00000000000000000000000000000000000000000000−2i2i−2i2i000000000000000000000000
χ1324-44-4-4-444-24000024-2242-4-4-24-42-2-400000000-200002-2-22-22200000000000000000000−4i4i−4i4i000000000000000000000000000000000000000000002i−2i2i−2i000000000000000000000000
χ1334-4-444-44-44-20000-4-2-442-42-2-42-24424i−4i−4i4i−4i4i4i−4i-200002-22-222-20000000000000000000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000000000000000000000000000000000
χ1344-4-444-44-44-20000-4-2-442-42-2-42-2442−4i4i4i−4i4i−4i−4i4i-200002-22-222-200000000000000000000000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000000000000000000000000000000000000000
χ1354-4-444-44-4-240000242-2-42-442-44-2-2-400000000-200002-22-222-2000000000000000000004-4-4400000000000000000000000000000000000000000000-222-2000000000000000000000000
χ1364-4-444-44-4-240000242-2-42-442-44-2-2-400000000-200002-22-222-200000000000000000000-444-4000000000000000000000000000000000000000000002-2-22000000000000000000000000
χ1374-4-44-44-444-2000042-44-2-42242-2-4-4-24i−4i4i−4i−4i4i−4i4i-20000-222-2-2220000000000000000000000000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000000000000000000000000000000000
χ1384-4-44-44-444-2000042-44-2-42242-2-4-4-2−4i4i−4i4i4i−4i4i−4i-20000-222-2-22200000000000000000000000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000000000000000000000000000000000000000
χ1394-4-44-44-44-240000-2-42-242-4-4-2-4422400000000-20000-222-2-2220000000000000000000000004-4-44000000000000000000000000000000000000-222-20000000000000000000000000000
χ1404-4-44-44-44-240000-2-42-242-4-4-2-4422400000000-20000-222-2-222000000000000000000000000-444-40000000000000000000000000000000000002-2-220000000000000000000000000000
χ1418-88-888-8-8-4-40000-44-44444-44-44-44-400000000200002-22-2-2-22000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1428-88-8-8-888-4-400004-4-44-4444-4-444-440000000020000-222-22-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1438-8-888-88-8-4-400004-44-4444-444-4-4-440000000020000-22-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1448-8-88-88-88-4-40000-444-4-4444-44-444-400000000200002-2-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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