Finite Group Databasebeta

← Group #11807471

Character table — Group #11807471

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size111111112222222222222222222244444444444444444444444444446666666666666666666666668888888888888888121212121212121212121212121212121212121212121212121212121818181824242424363636363636
order12222222334444666666666666663444466666661212121212121212121212121212121244444444444444441212121212121212121212121212121212121212121212122244444412121212121212121212121212121212121212124444661212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
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
χ511111111111111111111111111111-1-1-1-11111111-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111-1-1-1-11111111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111
χ711111111111111111111111111111-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111
χ811111111111111111111111111111-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1
χ91111111111-1-1-1-111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1
χ101111111111-1-1-1-111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-111
χ111111111111-1-1-1-111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111
χ121111111111-1-1-1-111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111111111111111-1-1-1-111-1-1
χ131111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111
χ141111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1
χ151111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-111111111-1-1-1-111111111-1-11111-1-1-1-1
χ161111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111
χ171-1-111-11-111ii−i−i-1-11-111-1-1111-1-1-111-1i−i11-1-1-11-111-1-1iiii−i−i−i−iii−i−iii−i−i11-1-111-1-1ii−i−i1111-1-1-1-11-1i−i11-1-1ii−i−iii−i−i1-1i−i1-1i−iii−i−i11-1-111-1-1ii−i−iii−i−iii−i−i1-1i−i1-1i−i1-1
χ181-1-111-11-111ii−i−i-1-11-111-1-1111-1-1-111-1i−i11-1-1-11-111-1-1iiii−i−i−i−iii−i−iii−i−i-1-111-1-111−i−iii-1-1-1-111111-1i−i11-1-1ii−i−iii−i−i1-1i−i1-1−iiii−i−i11-1-1-1-111−i−iii−i−iii−i−iii1-1i−i-11−ii-11
χ191-1-111-11-111ii−i−i-1-11-111-1-1111-1-1-111-1i−i11-1-1-11-111-1-1iiii−i−i−i−iii−i−i−i−iii11-1-111-1-1ii−i−i1111-1-1-1-11-1i−i11-1-1ii−i−iii−i−i-11−ii-11i−i−i−iii-1-11111-1-1ii−i−iii−i−i−i−iii-11−ii-11−ii-11
χ201-1-111-11-111ii−i−i-1-11-111-1-1111-1-1-111-1i−i11-1-1-11-111-1-1iiii−i−i−i−iii−i−i−i−iii-1-111-1-111−i−iii-1-1-1-111111-1i−i11-1-1ii−i−iii−i−i-11−ii-11−ii−i−iii-1-111-1-111−i−iii−i−iiiii−i−i-11−ii1-1i−i1-1
χ211-1-111-11-111ii−i−i-1-11-111-1-1111-1-1-11-11−ii11-1-1-11-1-1-111iiii−i−i−i−i−i−iiiii−i−i11-1-1-1-111ii−i−i-1-1-1-11111-11−ii-1-111ii−i−i−i−iii-11−ii1-1−iiii−i−i11-1-111-1-1ii−i−i−i−iii−i−iii-11−ii1-1i−i-11
χ221-1-111-11-111ii−i−i-1-11-111-1-1111-1-1-11-11−ii11-1-1-11-1-1-111iiii−i−i−i−i−i−iiiii−i−i-1-11111-1-1−i−iii1111-1-1-1-1-11−ii-1-111ii−i−i−i−iii-11−ii1-1i−iii−i−i11-1-1-1-111−i−iiiii−i−iii−i−i-11−ii-11−ii1-1
χ231-1-111-11-111ii−i−i-1-11-111-1-1111-1-1-11-11−ii11-1-1-11-1-1-111iiii−i−i−i−i−i−iii−i−iii11-1-1-1-111ii−i−i-1-1-1-11111-11−ii-1-111ii−i−i−i−iii1-1i−i-11−ii−i−iii-1-11111-1-1ii−i−i−i−iiiii−i−i1-1i−i-11−ii1-1
χ241-1-111-11-111ii−i−i-1-11-111-1-1111-1-1-11-11−ii11-1-1-11-1-1-111iiii−i−i−i−i−i−iii−i−iii-1-11111-1-1−i−iii1111-1-1-1-1-11−ii-1-111ii−i−i−i−iii1-1i−i-11i−i−i−iii-1-111-1-111−i−iiiii−i−i−i−iii1-1i−i1-1i−i-11
χ251-1-111-11-111−i−iii-1-11-111-1-1111-1-1-111-1−ii11-1-1-11-111-1-1−i−i−i−iiiii−i−iiiii−i−i11-1-111-1-1−i−iii1111-1-1-1-11-1−ii11-1-1−i−iii−i−iii-11i−i-11−iiii−i−i-1-11111-1-1−i−iii−i−iiiii−i−i-11i−i-11i−i-11
χ261-1-111-11-111−i−iii-1-11-111-1-1111-1-1-111-1−ii11-1-1-11-111-1-1−i−i−i−iiiii−i−iiiii−i−i-1-111-1-111ii−i−i-1-1-1-111111-1−ii11-1-1−i−iii−i−iii-11i−i-11i−iii−i−i-1-111-1-111ii−i−iii−i−i−i−iii-11i−i1-1−ii1-1
χ271-1-111-11-111−i−iii-1-11-111-1-1111-1-1-111-1−ii11-1-1-11-111-1-1−i−i−i−iiiii−i−iii−i−iii11-1-111-1-1−i−iii1111-1-1-1-11-1−ii11-1-1−i−iii−i−iii1-1−ii1-1−ii−i−iii11-1-111-1-1−i−iii−i−iii−i−iii1-1−ii1-1−ii1-1
χ281-1-111-11-111−i−iii-1-11-111-1-1111-1-1-111-1−ii11-1-1-11-111-1-1−i−i−i−iiiii−i−iii−i−iii-1-111-1-111ii−i−i-1-1-1-111111-1−ii11-1-1−i−iii−i−iii1-1−ii1-1i−i−i−iii11-1-1-1-111ii−i−iii−i−iii−i−i1-1−ii-11i−i-11
χ291-1-111-11-111−i−iii-1-11-111-1-1111-1-1-11-11i−i11-1-1-11-1-1-111−i−i−i−iiiiiii−i−iii−i−i11-1-1-1-111−i−iii-1-1-1-11111-11i−i-1-111−i−iiiii−i−i1-1−ii-11i−iii−i−i-1-11111-1-1−i−iiiii−i−i−i−iii1-1−ii-11i−i1-1
χ301-1-111-11-111−i−iii-1-11-111-1-1111-1-1-11-11i−i11-1-1-11-1-1-111−i−i−i−iiiiiii−i−iii−i−i-1-11111-1-1ii−i−i1111-1-1-1-1-11i−i-1-111−i−iiiii−i−i1-1−ii-11−iiii−i−i-1-111-1-111ii−i−i−i−iiiii−i−i1-1−ii1-1−ii-11
χ311-1-111-11-111−i−iii-1-11-111-1-1111-1-1-11-11i−i11-1-1-11-1-1-111−i−i−i−iiiiiii−i−i−i−iii11-1-1-1-111−i−iii-1-1-1-11111-11i−i-1-111−i−iiiii−i−i-11i−i1-1i−i−i−iii11-1-111-1-1−i−iiiii−i−iii−i−i-11i−i1-1−ii-11
χ321-1-111-11-111−i−iii-1-11-111-1-1111-1-1-11-11i−i11-1-1-11-1-1-111−i−i−i−iiiiiii−i−i−i−iii-1-11111-1-1ii−i−i1111-1-1-1-1-11i−i-1-111−i−iiiii−i−i-11i−i1-1−ii−i−iii11-1-1-1-111ii−i−i−i−iii−i−iii-11i−i-11i−i1-1
χ33222222222-1222222-1-12-12-122-1-1-12-12222-1-1-1-1-1-1-1222222-1-122-1-12222222200000000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222200-1-1-1-1-1-1-1-10000000000000000-1-1-1-1000000
χ34222222222-1222222-1-12-12-122-1-1-12-12222-1-1-1-1-1-1-1222222-1-122-1-12222-2-2-2-200000000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2001111111100000000000000001111000000
χ35222222222-1222222-1-12-12-122-1-1-12-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-222-1-122-1-1-2-2-2-222220000000000000000000011111111-1-1-1-11111-2-2-2-22200-1-1-1-1-1-1-1-100000000000000001111000000
χ36222222222-1222222-1-12-12-122-1-1-12-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-222-1-122-1-1-2-2-2-2-2-2-2-20000000000000000000011111111-1-1-1-111112222-2-200111111110000000000000000-1-1-1-1000000
χ37222222222-1-2-2-2-222-1-12-12-122-1-1-12-122-2-2-1-1-1-1-1-1-12222-2-211-2-211-2-2-2-2222200000000000000000000-1-111-1-1-1-111111111-2-222-2-200-1-1-1-11111000000000000000011-1-1000000
χ38222222222-1-2-2-2-222-1-12-12-122-1-1-12-122-2-2-1-1-1-1-1-1-12222-2-211-2-211-2-2-2-2-2-2-2-200000000000000000000-1-111-1-1-1-11111111122-2-222001111-1-1-1-10000000000000000-1-111000000
χ39222222222-1-2-2-2-222-1-12-12-122-1-1-12-1-2-222-1-1-1-1-1-1-1-2-2-2-2-2-211-2-211222222220000000000000000000011-1-111111111-1-1-1-122-2-2-2-200-1-1-1-111110000000000000000-1-111000000
χ40222222222-1-2-2-2-222-1-12-12-122-1-1-12-1-2-222-1-1-1-1-1-1-1-2-2-2-2-2-211-2-2112222-2-2-2-20000000000000000000011-1-111111111-1-1-1-1-2-22222001111-1-1-1-1000000000000000011-1-1000000
χ4122222222-122222-1-122-12-12-1-1222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-10000222222222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000002200000000-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ4222222222-122222-1-122-12-12-1-1222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-10000-2-2-2-2-2-2-2-2-2-2-2-2111111112222-1-1-1-1-1-1-1-1-1-1-1-1000000-2-20000000011111111111100000000000000
χ4322222222-122222-1-122-12-12-1-1222-1-1-2-2-2-2-1-1-1-1-1-1-11111-1-122-1-122111100002222-2-2-2-2222211111111-2-2-2-21111-1-1-1-11111000000-2-200000000-1-1-1-1-1-1-1-1111100000000000000
χ4422222222-122222-1-122-12-12-1-1222-1-1-2-2-2-2-1-1-1-1-1-1-11111-1-122-1-12211110000-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-1-2-2-2-21111-1-1-1-11111000000220000000011111111-1-1-1-100000000000000
χ4522222222-12-2-2-2-2-1-122-12-12-1-1222-1-122-2-2-1-1-1-1-1-1-1-1-1-1-111-2-211-2-21111000022222222-2-2-2-2-1-1-1-1-1-1-1-122-2-2-1-1-1-111111111000000-2-200000000-1-1-1-11111111100000000000000
χ4622222222-12-2-2-2-2-1-122-12-12-1-1222-1-122-2-2-1-1-1-1-1-1-1-1-1-1-111-2-211-2-211110000-2-2-2-2-2-2-2-222221111111122-2-2-1-1-1-11111111100000022000000001111-1-1-1-1-1-1-1-100000000000000
χ4722222222-12-2-2-2-2-1-122-12-12-1-1222-1-1-2-222-1-1-1-1-1-1-1111111-2-211-2-2-1-1-1-100002222-2-2-2-2-2-2-2-211111111-2-22211111111-1-1-1-10000002200000000-1-1-1-11111-1-1-1-100000000000000
χ4822222222-12-2-2-2-2-1-122-12-12-1-1222-1-1-2-222-1-1-1-1-1-1-1111111-2-211-2-2-1-1-1-10000-2-2-2-222222222-1-1-1-1-1-1-1-1-2-22211111111-1-1-1-1000000-2-2000000001111-1-1-1-1111100000000000000
χ4922-22-22-2-22200002-2-2-2-2-2222-222-2-2200002-22-2-2-2200000000000000002-22-200002i−2i2i−2i00002i2i−2i−2i2i2i−2i−2i0000000000000000000000002-22-200000000000000002i−2i2i−2i0000000000
χ5022-22-22-2-22200002-2-2-2-2-2222-222-2-2200002-22-2-2-2200000000000000002-22-20000−2i2i−2i2i0000−2i−2i2i2i−2i−2i2i2i0000000000000000000000002-22-20000000000000000−2i2i−2i2i0000000000
χ5122-22-22-2-22200002-2-2-2-2-2222-222-2-2200002-22-2-2-220000000000000000-22-2200002i−2i2i−2i00002i2i−2i−2i2i2i−2i−2i000000000000000000000000-22-220000000000000000−2i2i−2i2i0000000000
χ5222-22-22-2-22200002-2-2-2-2-2222-222-2-2200002-22-2-2-220000000000000000-22-220000−2i2i−2i2i0000−2i−2i2i2i−2i−2i2i2i000000000000000000000000-22-2200000000000000002i−2i2i−2i0000000000
χ5322-2-22-2-22222i−2i2i−2i2-2-2222-2-2-2-2-22-2220000-2-222-22-200002i−2i2i−2i2i−2i2i−2i000000002i−2i2i−2i00002-22-200000000000000002i−2i2i−2i000000000000000000002i−2i2i−2i2-22-2000000000000000000
χ5422-2-22-2-22222i−2i2i−2i2-2-2222-2-2-2-2-22-2220000-2-222-22-200002i−2i2i−2i2i−2i2i−2i00000000−2i2i−2i2i0000-22-2200000000000000002i−2i2i−2i00000000000000000000−2i2i−2i2i-22-22000000000000000000
χ5522-2-22-2-2222−2i2i−2i2i2-2-2222-2-2-2-2-22-2220000-2-222-22-20000−2i2i−2i2i−2i2i−2i2i000000002i−2i2i−2i0000-22-220000000000000000−2i2i−2i2i000000000000000000002i−2i2i−2i-22-22000000000000000000
χ5622-2-22-2-2222−2i2i−2i2i2-2-2222-2-2-2-2-22-2220000-2-222-22-20000−2i2i−2i2i−2i2i−2i2i00000000−2i2i−2i2i00002-22-20000000000000000−2i2i−2i2i00000000000000000000−2i2i−2i2i2-22-2000000000000000000
χ5722-2-22-2-22-122i−2i2i−2i-11-22-121-211-22-2-1-1000011-1-11-11−i3i3−i3i3−ii2i−2i−ii2i−2i3−33−300002i−2i2i−2i00002-22-23−33−33−33−30000−i3i3−i3i3−ii−ii3−33−30000000000000000−ii−ii-11-11−i3i3−i3i300000000000000
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χ1324-4-4-4-44444-20000-4-4-2-2-424-2-442224-200002-22-222-200000000000000000000000000000000000000000000000000000000000000000000−232323−2300000000000000000000000000
χ1334-4-4-4-4444-24000022442-4-242-2-4-4-4-2-200002-22-222-200000000000000000000000000000000−2i32i32i3−2i32i3−2i3−2i32i30000000000000000000000000000000000000000000000000000000000
χ1344-4-4-4-4444-24000022442-4-242-2-4-4-4-2-200002-22-222-2000000000000000000000000000000002i3−2i3−2i32i3−2i32i32i3−2i30000000000000000000000000000000000000000000000000000000000
χ135888-8-8-88-8-4-40000-4-4-4444444-44-4-4420000-222-22-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13688-88-88-8-8-4-40000-444444-4-4-44-4-444200002-22-2-2-2200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1378-888-8-8-88-4-400004-44-44444-44-44-4-4200002-2-222-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1388-8-8-8-8888-4-4000044-4-444-4-44-4444-420000-22-22-2-2200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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