Finite Group Databasebeta

← Group #11807465

Character table — Group #11807465

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size111111112222222222222222222244444444444444444444444444446666666666666666666666668888888888888888121212121212121212121212121212121212121212121212121212121818181824242424363636363636
order1222222233444466666666666666344446666666121212121212121212121212121212124444444444444444121212121212121212121212121212121212121212121212444444441212121212121212121212121212121212121212444412121212224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111
χ511111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111
χ611111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ711111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1
χ811111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ91111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-1
χ101111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-111
χ111111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111
χ121111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1
χ131111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1
χ141111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111
χ151111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-111-1-111
χ161111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1111111111111-1-1-1-11111-1-111-1-111-1-1
χ171-1-111-11-111ii−i−i1-1-11-1-1-1111-1-11-111-1i−i11-1-11-1-1iiii−i−i−i−i11-1-1ii−i−iii−i−i11-1-1ii−i−i11-1-11111-1-1-1-11-1i−iii−i−i11-1-1ii−i−ii−i1-11-1i−iii−i−i11-1-1ii−i−i11-1-1ii−i−iii−i−i1-1i−i1-11-1i−i
χ181-1-111-11-111ii−i−i1-1-11-1-1-1111-1-11-111-1i−i11-1-11-1-1iiii−i−i−i−i11-1-1ii−i−iii−i−i11-1-1−i−iii11-1-11111-1-1-1-11-1i−iii−i−i11-1-1ii−i−ii−i-11-11−iiii−i−i11-1-1ii−i−i-1-111−i−iii−i−iii-11−ii-11-11−ii
χ191-1-111-11-111ii−i−i1-1-11-1-1-1111-1-11-111-1i−i11-1-11-1-1iiii−i−i−i−i11-1-1ii−i−i−i−iii-1-111ii−i−i-1-111-1-1-1-111111-1i−iii−i−i11-1-1ii−i−i−ii1-11-1i−i−i−iii-1-111−i−iii11-1-1ii−i−i−i−iii1-1i−i-11-11−ii
χ201-1-111-11-111ii−i−i1-1-11-1-1-1111-1-11-111-1i−i11-1-11-1-1iiii−i−i−i−i11-1-1ii−i−i−i−iii-1-111−i−iii-1-111-1-1-1-111111-1i−iii−i−i11-1-1ii−i−i−ii-11-11−ii−i−iii-1-111−i−iii-1-111−i−iiiii−i−i-11−ii1-11-1i−i
χ211-1-111-11-111ii−i−i1-1-11-1-1-1111-1-11-11-11−ii11-1-11-1-1iiii−i−i−i−i-1-111−i−iiiii−i−i11-1-1ii−i−i-1-111-1-1-1-11111-11−iiii−i−i-1-111−i−iii−ii-111-1−iiii−i−i11-1-1−i−iii11-1-1ii−i−i−i−iii-11−ii-111-1i−i
χ221-1-111-11-111ii−i−i1-1-11-1-1-1111-1-11-11-11−ii11-1-11-1-1iiii−i−i−i−i-1-111−i−iiiii−i−i11-1-1−i−iii-1-111-1-1-1-11111-11−iiii−i−i-1-111−i−iii−ii1-1-11i−iii−i−i11-1-1−i−iii-1-111−i−iiiii−i−i1-1i−i1-1-11−ii
χ231-1-111-11-111ii−i−i1-1-11-1-1-1111-1-11-11-11−ii11-1-11-1-1iiii−i−i−i−i-1-111−i−iii−i−iii-1-111ii−i−i11-1-11111-1-1-1-1-11−iiii−i−i-1-111−i−iiii−i-111-1−ii−i−iii-1-111ii−i−i11-1-1ii−i−iii−i−i-11−ii1-1-11−ii
χ241-1-111-11-111ii−i−i1-1-11-1-1-1111-1-11-11-11−ii11-1-11-1-1iiii−i−i−i−i-1-111−i−iii−i−iii-1-111−i−iii11-1-11111-1-1-1-1-11−iiii−i−i-1-111−i−iiii−i1-1-11i−i−i−iii-1-111ii−i−i-1-111−i−iii−i−iii1-1i−i-111-1i−i
χ251-1-111-11-111−i−iii1-1-11-1-1-1111-1-11-111-1−ii11-1-11-1-1−i−i−i−iiiii11-1-1−i−iiiii−i−i-1-111ii−i−i-1-111-1-1-1-111111-1−ii−i−iii11-1-1−i−iiii−i-11-11i−iii−i−i-1-111ii−i−i-1-111ii−i−i−i−iii-11i−i1-11-1−ii
χ261-1-111-11-111−i−iii1-1-11-1-1-1111-1-11-111-1−ii11-1-11-1-1−i−i−i−iiiii11-1-1−i−iiiii−i−i-1-111−i−iii-1-111-1-1-1-111111-1−ii−i−iii11-1-1−i−iiii−i1-11-1−iiii−i−i-1-111ii−i−i11-1-1−i−iiiii−i−i1-1−ii-11-11i−i
χ271-1-111-11-111−i−iii1-1-11-1-1-1111-1-11-111-1−ii11-1-11-1-1−i−i−i−iiiii11-1-1−i−iii−i−iii11-1-1ii−i−i11-1-11111-1-1-1-11-1−ii−i−iii11-1-1−i−iii−ii-11-11i−i−i−iii11-1-1−i−iii-1-111ii−i−iii−i−i-11i−i-11-11i−i
χ281-1-111-11-111−i−iii1-1-11-1-1-1111-1-11-111-1−ii11-1-11-1-1−i−i−i−iiiii11-1-1−i−iii−i−iii11-1-1−i−iii11-1-11111-1-1-1-11-1−ii−i−iii11-1-1−i−iii−ii1-11-1−ii−i−iii11-1-1−i−iii11-1-1−i−iii−i−iii1-1−ii1-11-1−ii
χ291-1-111-11-111−i−iii1-1-11-1-1-1111-1-11-11-11i−i11-1-11-1-1−i−i−i−iiiii-1-111ii−i−iii−i−i-1-111ii−i−i11-1-11111-1-1-1-1-11i−i−i−iii-1-111ii−i−i−ii1-1-11−iiii−i−i-1-111−i−iii-1-111ii−i−iii−i−i1-1−ii-111-1−ii
χ301-1-111-11-111−i−iii1-1-11-1-1-1111-1-11-11-11i−i11-1-11-1-1−i−i−i−iiiii-1-111ii−i−iii−i−i-1-111−i−iii11-1-11111-1-1-1-1-11i−i−i−iii-1-111ii−i−i−ii-111-1i−iii−i−i-1-111−i−iii11-1-1−i−iii−i−iii-11i−i1-1-11i−i
χ311-1-111-11-111−i−iii1-1-11-1-1-1111-1-11-11-11i−i11-1-11-1-1−i−i−i−iiiii-1-111ii−i−i−i−iii11-1-1ii−i−i-1-111-1-1-1-11111-11i−i−i−iii-1-111ii−i−ii−i1-1-11−ii−i−iii11-1-1ii−i−i-1-111ii−i−i−i−iii1-1−ii1-1-11i−i
χ321-1-111-11-111−i−iii1-1-11-1-1-1111-1-11-11-11i−i11-1-11-1-1−i−i−i−iiiii-1-111ii−i−i−i−iii11-1-1−i−iii-1-111-1-1-1-11111-11i−i−i−iii-1-111ii−i−ii−i-111-1i−i−i−iii11-1-1ii−i−i11-1-1−i−iiiii−i−i-11i−i-111-1−ii
χ33222222222-12222222-12-1-12-1-1-1-122-12222-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-12222222200002222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122000000-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000
χ34222222222-12222222-12-1-12-1-1-1-122-12222-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-20000-2-2-2-2111111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-20000001111111111110000000000000000000000
χ35222222222-12222222-12-1-12-1-1-1-122-1-2-2-2-2-1-1-1-1-1-1-122-1-122-1-111111111222222220000-2-2-2-211111111-2-2-2-2-1-1-1-111111111-2-2000000-1-1-1-1-1-1-1-111110000000000000000000000
χ36222222222-12222222-12-1-12-1-1-1-122-1-2-2-2-2-1-1-1-1-1-1-122-1-122-1-111111111-2-2-2-2-2-2-2-200002222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1111111112200000011111111-1-1-1-10000000000000000000000
χ37222222222-1-2-2-2-2222-12-1-12-1-1-1-122-122-2-2-1-1-1-1-1-1-1-2-211-2-211-1-1-1-111112222-2-2-2-20000-2-2-2-21111111122-2-21111-1-1-1-1111122000000-1-1-1-11111-1-1-1-10000000000000000000000
χ38222222222-1-2-2-2-2222-12-1-12-1-1-1-122-122-2-2-1-1-1-1-1-1-1-2-211-2-211-1-1-1-11111-2-2-2-2222200002222-1-1-1-1-1-1-1-122-2-21111-1-1-1-11111-2-20000001111-1-1-1-111110000000000000000000000
χ39222222222-1-2-2-2-2222-12-1-12-1-1-1-122-1-2-222-1-1-1-1-1-1-1-2-211-2-2111111-1-1-1-12222-2-2-2-200002222-1-1-1-1-1-1-1-1-2-22211111111-1-1-1-1-2-2000000-1-1-1-1111111110000000000000000000000
χ40222222222-1-2-2-2-2222-12-1-12-1-1-1-122-1-2-222-1-1-1-1-1-1-1-2-211-2-2111111-1-1-1-1-2-2-2-222220000-2-2-2-211111111-2-22211111111-1-1-1-1220000001111-1-1-1-1-1-1-1-10000000000000000000000
χ4122222222-122222-1-1-12-122-12222-1-1-12222-1-1-1-1-1-1-1-1-122-1-12222222222000000002222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100222222000000000000-1-1-1-1-1-1-1-10000-1-1-1-1000000
χ4222222222-122222-1-1-12-122-12222-1-1-12222-1-1-1-1-1-1-1-1-122-1-1222222222200000000-2-2-2-2000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-2-2-20000000000001111111100001111000000
χ4322222222-122222-1-1-12-122-12222-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-122-1-122-2-2-2-2-2-2-2-20000000022220000000000001111-1-1-1-11111111100-2-222-2-2000000000000-1-1-1-1-1-1-1-100001111000000
χ4422222222-122222-1-1-12-122-12222-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-122-1-122-2-2-2-2-2-2-2-200000000-2-2-2-20000000000001111-1-1-1-1111111110022-2-222000000000000111111110000-1-1-1-1000000
χ4522222222-12-2-2-2-2-1-1-12-122-12222-1-1-122-2-2-1-1-1-1-1-1-111-2-211-2-22222-2-2-2-2000000002222000000000000-1-1111111-1-1-1-1111100-2-2-2-2220000000000001111-1-1-1-1000011-1-1000000
χ4622222222-12-2-2-2-2-1-1-12-122-12222-1-1-122-2-2-1-1-1-1-1-1-111-2-211-2-22222-2-2-2-200000000-2-2-2-2000000000000-1-1111111-1-1-1-11111002222-2-2000000000000-1-1-1-111110000-1-111000000
χ4722222222-12-2-2-2-2-1-1-12-122-12222-1-1-1-2-222-1-1-1-1-1-1-111-2-211-2-2-2-2-2-2222200000000222200000000000011-1-111111111-1-1-1-10022-2-2-2-20000000000001111-1-1-1-10000-1-111000000
χ4822222222-12-2-2-2-2-1-1-12-122-12222-1-1-1-2-222-1-1-1-1-1-1-111-2-211-2-2-2-2-2-2222200000000-2-2-2-200000000000011-1-111111111-1-1-1-100-2-22222000000000000-1-1-1-11111000011-1-1000000
χ4922-22-22-2-2220000-22-22-22-2-2-2-22-22220000-2-22-222-20000000000000000000000002-22-22i−2i2i−2i2i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000000000002-22-22i−2i2i−2i0000000000
χ5022-22-22-2-2220000-22-22-22-2-2-2-22-22220000-2-22-222-20000000000000000000000002-22-2−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000000000002-22-2−2i2i−2i2i0000000000
χ5122-22-22-2-2220000-22-22-22-2-2-2-22-22220000-2-22-222-2000000000000000000000000-22-222i−2i2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000-22-22−2i2i−2i2i0000000000
χ5222-22-22-2-2220000-22-22-22-2-2-2-22-22220000-2-22-222-2000000000000000000000000-22-22−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000-22-222i−2i2i−2i0000000000
χ5322-2-2-2-222222-22-222-2-22-22-22-22-2-2-2200002-22-2-2-222-22-22-22-2000000002i−2i2i−2i2i−2i2i−2i000000000000000000002-22-200000000000000002i−2i2i−2i2i−2i2i−2i00000000000000000000000000
χ5422-2-2-2-222222-22-222-2-22-22-22-22-2-2-2200002-22-2-2-222-22-22-22-200000000−2i2i−2i2i−2i2i−2i2i000000000000000000002-22-20000000000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000000000
χ5522-2-2-2-22222-22-2222-2-22-22-22-22-2-2-2200002-22-2-2-22-22-22-22-22000000002i−2i2i−2i−2i2i−2i2i00000000000000000000-22-2200000000000000002i−2i2i−2i−2i2i−2i2i00000000000000000000000000
χ5622-2-2-2-22222-22-2222-2-22-22-22-22-2-2-2200002-22-2-2-22-22-22-22-2200000000−2i2i−2i2i2i−2i2i−2i00000000000000000000-22-220000000000000000−2i2i−2i2i2i−2i2i−2i00000000000000000000000000
χ5722-2-2-2-2222-12-22-222-2121-1-2-11-11-2-2-10000-11-1111-12-2-112-2-113−33−33−33−32i−2i2i−2i2i−2i2i−2i00000000−i3i3−i3i3−i3i3−i3i30000-11-113−33−33−33−300000000−ii−ii−ii−ii−i3i3−i3i30000000000000000000000
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χ1344-4-4-444-44-240000222-4-244-2-44-4-42-2-200002-2222-2-200000000000000000000000000000000000000000000000000000000000000000000000000002i3−2i3−2i32i3000000000000000000
χ135888-88-8-8-8-4-400004-4-44444-44-4-4-44420000-2222-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13688-88-88-8-8-4-400004-44-44-44444-44-4-420000-2-22-222-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1378-888-8-8-88-4-4000044-4-4-44-44444-4-4420000-2-2-222-2200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1388-8-8-888-88-4-400004444-4-4-4-44-4444-420000-22-2-2-22200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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