Finite Group Databasebeta

← Group #11805364

Character table — Group #11805364

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size111111112222222222222222222244444444444444444444444444446666666666666666666666668888888888888888121212121212121212121212121212121212121212121212121212121818181824242424363636363636
order12222222334444666666666666663444466666661212121212121212121212121212121244444444444444441212121212121212121212121212121212121212121212122244444412121212121212121212121212121212121212124444661212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1
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
χ511111111111111111111111111111-1-1-1-111111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111
χ611111111111111111111111111111-1-1-1-111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1
χ711111111111111111111111111111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-111-1-1
χ811111111111111111111111111111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111
χ91111111111-1-1-1-111111111111111111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-11111
χ101111111111-1-1-1-111111111111111111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1111111111111-1-1-1-11111-1-11111-1-1-1-1
χ111111111111-1-1-1-111111111111111111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1
χ121111111111-1-1-1-111111111111111111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ131111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-111
χ141111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1
χ151111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1
χ161111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111
χ171-11-1-111-11111-1-11-11-1-11-11-11-11-1-11i−ii−i11-1-11-1-111-1-1ii−i−i11-1-1ii−i−i11-1-1ii−i−i11-1-1ii−i−iiiii−i−i−i−ii−ii−i11-1-1ii−i−iii−i−i1-1i−i1-1i−i11-1-1ii−i−i11-1-1ii−i−iii−i−i11-1-11-11-1i−i1-1i−i
χ181-11-1-111-11111-1-11-11-1-11-11-11-11-1-11i−ii−i11-1-11-1-111-1-1ii−i−i11-1-1ii−i−i11-1-1−i−iii11-1-1ii−i−iiiii−i−i−i−ii−ii−i11-1-1ii−i−iii−i−i-11i−i-11−ii11-1-1−i−iii11-1-1ii−i−i−i−iii-1-111-11-11−ii-11−ii
χ191-11-1-111-11111-1-11-11-1-11-11-11-11-1-11i−ii−i11-1-11-1-111-1-1ii−i−i11-1-1ii−i−i-1-111ii−i−i-1-111−i−iii−i−i−i−iiiiii−ii−i11-1-1ii−i−iii−i−i1-1−ii1-1i−i-1-111ii−i−i-1-111−i−iiiii−i−i-1-1111-11-1−ii-11−ii
χ201-11-1-111-11111-1-11-11-1-11-11-11-11-1-11i−ii−i11-1-11-1-111-1-1ii−i−i11-1-1ii−i−i-1-111−i−iii-1-111−i−iii−i−i−i−iiiiii−ii−i11-1-1ii−i−iii−i−i-11−ii-11−ii-1-111−i−iii-1-111−i−iii−i−iii11-1-1-11-11i−i1-1i−i
χ211-11-1-111-11111-1-11-11-1-11-11-11-11-1-11−ii−ii11-1-11-1-111-1-1−i−iii11-1-1−i−iii11-1-1ii−i−i11-1-1−i−iii−i−i−i−iiiii−ii−ii11-1-1−i−iii−i−iii-11−ii-11i−i11-1-1ii−i−i11-1-1−i−iiiii−i−i-1-111-11-11i−i-11i−i
χ221-11-1-111-11111-1-11-11-1-11-11-11-11-1-11−ii−ii11-1-11-1-111-1-1−i−iii11-1-1−i−iii11-1-1−i−iii11-1-1−i−iii−i−i−i−iiiii−ii−ii11-1-1−i−iii−i−iii1-1−ii1-1−ii11-1-1−i−iii11-1-1−i−iii−i−iii11-1-11-11-1−ii1-1−ii
χ231-11-1-111-11111-1-11-11-1-11-11-11-11-1-11−ii−ii11-1-11-1-111-1-1−i−iii11-1-1−i−iii-1-111ii−i−i-1-111ii−i−iiiii−i−i−i−i−ii−ii11-1-1−i−iii−i−iii-11i−i-11i−i-1-111ii−i−i-1-111ii−i−iii−i−i11-1-1-11-11−ii1-1−ii
χ241-11-1-111-11111-1-11-11-1-11-11-11-11-1-11−ii−ii11-1-11-1-111-1-1−i−iii11-1-1−i−iii-1-111−i−iii-1-111ii−i−iiiii−i−i−i−i−ii−ii11-1-1−i−iii−i−iii1-1i−i1-1−ii-1-111−i−iii-1-111ii−i−i−i−iii-1-1111-11-1i−i-11i−i
χ251-11-1-111-111-1-1111-11-1-11-11-11-11-1-11i−i−ii11-1-11-1-1-1-111ii−i−i-1-111−i−iii11-1-1ii−i−i-1-111−i−iii−i−i−i−iiiiii−i−ii-1-111ii−i−i−i−iii1-1i−i-11−ii-1-111−i−iii11-1-1ii−i−iii−i−i-1-1111-1-11−ii1-1i−i
χ261-11-1-111-111-1-1111-11-1-11-11-11-11-1-11i−i−ii11-1-11-1-1-1-111ii−i−i-1-111−i−iii11-1-1−i−iii-1-111−i−iii−i−i−i−iiiiii−i−ii-1-111ii−i−i−i−iii-11i−i1-1i−i-1-111ii−i−i11-1-1ii−i−i−i−iii11-1-1-111-1i−i-11−ii
χ271-11-1-111-111-1-1111-11-1-11-11-11-11-1-11i−i−ii11-1-11-1-1-1-111ii−i−i-1-111−i−iii-1-111ii−i−i11-1-1ii−i−iiiii−i−i−i−ii−i−ii-1-111ii−i−i−i−iii1-1−ii-11−ii11-1-1−i−iii-1-111−i−iiiii−i−i11-1-11-1-11i−i-11−ii
χ281-11-1-111-111-1-1111-11-1-11-11-11-11-1-11i−i−ii11-1-11-1-1-1-111ii−i−i-1-111−i−iii-1-111−i−iii11-1-1ii−i−iiiii−i−i−i−ii−i−ii-1-111ii−i−i−i−iii-11−ii1-1i−i11-1-1ii−i−i-1-111−i−iii−i−iii-1-111-111-1−ii1-1i−i
χ291-11-1-111-111-1-1111-11-1-11-11-11-11-1-11−iii−i11-1-11-1-1-1-111−i−iii-1-111ii−i−i11-1-1ii−i−i-1-111ii−i−iiiii−i−i−i−i−iii−i-1-111−i−iiiii−i−i-11−ii1-1−ii-1-111−i−iii11-1-1−i−iiiii−i−i11-1-1-111-1−ii-11i−i
χ301-11-1-111-111-1-1111-11-1-11-11-11-11-1-11−iii−i11-1-11-1-1-1-111−i−iii-1-111ii−i−i11-1-1−i−iii-1-111ii−i−iiiii−i−i−i−i−iii−i-1-111−i−iiiii−i−i1-1−ii-11i−i-1-111ii−i−i11-1-1−i−iii−i−iii-1-1111-1-11i−i1-1−ii
χ311-11-1-111-111-1-1111-11-1-11-11-11-11-1-11−iii−i11-1-11-1-1-1-111−i−iii-1-111ii−i−i-1-111ii−i−i11-1-1−i−iii−i−i−i−iiiii−iii−i-1-111−i−iiiii−i−i-11i−i1-1−ii11-1-1−i−iii-1-111ii−i−iii−i−i-1-111-111-1i−i1-1−ii
χ321-11-1-111-111-1-1111-11-1-11-11-11-11-1-11−iii−i11-1-11-1-1-1-111−i−iii-1-111ii−i−i-1-111−i−iii11-1-1−i−iii−i−i−i−iiiii−iii−i-1-111−i−iiiii−i−i1-1i−i-11i−i11-1-1ii−i−i-1-111ii−i−i−i−iii11-1-11-1-11−ii-11i−i
χ33222222222-1222222-1-12-1-122-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1222222222222000022220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1220022220000-1-1-1-100000000-1-1-1-10000-1-1-1-1000000
χ34222222222-1222222-1-12-1-122-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-12222222222220000-2-2-2-20000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-2-2-20000111100000000111100001111000000
χ35222222222-1222222-1-12-1-122-1-122-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-20000222200000000000000001111-1-1-1-111111111-2-200-2-2220000-1-1-1-100000000-1-1-1-100001111000000
χ36222222222-1222222-1-12-1-122-1-122-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-20000-2-2-2-200000000000000001111-1-1-1-111111111220022-2-2000011110000000011110000-1-1-1-1000000
χ37222222222-1-2-2-2-222-1-12-1-122-1-122-1-122-2-2-1-1-1-1-1-1-111112222-2-2-2-2-2-2-2-2000022220000000000000000-1-1111111-1-1-1-111112200-2-2-2-20000111100000000-1-1-1-10000-1-111000000
χ38222222222-1-2-2-2-222-1-12-1-122-1-122-1-122-2-2-1-1-1-1-1-1-111112222-2-2-2-2-2-2-2-20000-2-2-2-20000000000000000-1-1111111-1-1-1-11111-2-20022220000-1-1-1-1000000001111000011-1-1000000
χ39222222222-1-2-2-2-222-1-12-1-122-1-122-1-1-2-222-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-2222200002222000000000000000011-1-111111111-1-1-1-1-2-20022-2-20000111100000000-1-1-1-1000011-1-1000000
χ40222222222-1-2-2-2-222-1-12-1-122-1-122-1-1-2-222-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-222220000-2-2-2-2000000000000000011-1-111111111-1-1-1-12200-2-2220000-1-1-1-10000000011110000-1-111000000
χ4122222222-122222-1-122-122-1-122-1-12-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222000022222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100220000-1-1-1-10000-1-1-1-1-1-1-1-1000000000000000000
χ4222222222-122222-1-122-122-1-122-1-12-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2-2-2-2-2-2-2111111112222-1-1-1-1-1-1-1-1-1-1-1-100-2-200001111000011111111000000000000000000
χ4322222222-122222-1-122-122-1-122-1-12-1-2-2-2-2-1-1-1-1-1-1-122221111-1-1-1-11111222200002222-2-2-2-211111111-2-2-2-2-1-1-1-11111111100-2-20000-1-1-1-10000-1-1-1-11111000000000000000000
χ4422222222-122222-1-122-122-1-122-1-12-1-2-2-2-2-1-1-1-1-1-1-122221111-1-1-1-11111-2-2-2-20000-2-2-2-22222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111100220000111100001111-1-1-1-1000000000000000000
χ4522222222-12-2-2-2-2-1-122-122-1-122-1-12-122-2-2-1-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111122220000-2-2-2-2-2-2-2-21111111122-2-21111-1-1-1-111110022000011110000-1-1-1-1-1-1-1-1000000000000000000
χ4622222222-12-2-2-2-2-1-122-122-1-122-1-12-122-2-2-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111-2-2-2-2000022222222-1-1-1-1-1-1-1-122-2-21111-1-1-1-1111100-2-20000-1-1-1-1000011111111000000000000000000
χ4722222222-12-2-2-2-2-1-122-122-1-122-1-12-1-2-222-1-1-1-1-1-1-1-2-2-2-211111111-1-1-1-122220000-2-2-2-22222-1-1-1-1-1-1-1-1-2-22211111111-1-1-1-100-2-2000011110000-1-1-1-11111000000000000000000
χ4822222222-12-2-2-2-2-1-122-122-1-122-1-12-1-2-222-1-1-1-1-1-1-1-2-2-2-211111111-1-1-1-1-2-2-2-200002222-2-2-2-211111111-2-22211111111-1-1-1-100220000-1-1-1-100001111-1-1-1-1000000000000000000
χ4922-22-22-2-22200002-2-2-22-22-2-22-2-222200002-2-2-2-222000000000000000000002-22-200002i−2i2i−2i2i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000000000002-22-22i−2i2i−2i0000000000
χ5022-22-22-2-22200002-2-2-22-22-2-22-2-222200002-2-2-2-222000000000000000000002-22-20000−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000000000002-22-2−2i2i−2i2i0000000000
χ5122-22-22-2-22200002-2-2-22-22-2-22-2-222200002-2-2-2-22200000000000000000000-22-2200002i−2i2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000-22-22−2i2i−2i2i0000000000
χ5222-22-22-2-22200002-2-2-22-22-2-22-2-222200002-2-2-2-22200000000000000000000-22-220000−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000-22-222i−2i2i−2i0000000000
χ5322-2-2-2-222222i−2i2i−2i-2-22-22-2222-22-2-2-220000-222-2-22-22i−2i2i−2i00002i−2i2i−2i00002i−2i2i−2i00002-22-200000000000000002i−2i2i−2i00000000000000002-22-200002i−2i2i−2i0000000000000000000000
χ5422-2-2-2-222222i−2i2i−2i-2-22-22-2222-22-2-2-220000-222-2-22-22i−2i2i−2i00002i−2i2i−2i0000−2i2i−2i2i0000-22-2200000000000000002i−2i2i−2i0000000000000000-22-220000−2i2i−2i2i0000000000000000000000
χ5522-2-2-2-22222−2i2i−2i2i-2-22-22-2222-22-2-2-220000-222-2-22-2−2i2i−2i2i0000−2i2i−2i2i00002i−2i2i−2i0000-22-220000000000000000−2i2i−2i2i0000000000000000-22-2200002i−2i2i−2i0000000000000000000000
χ5622-2-2-2-22222−2i2i−2i2i-2-22-22-2222-22-2-2-220000-222-2-22-2−2i2i−2i2i0000−2i2i−2i2i0000−2i2i−2i2i00002-22-20000000000000000−2i2i−2i2i00000000000000002-22-20000−2i2i−2i2i0000000000000000000000
χ5722-2-2-2-222-122i−2i2i−2i112-2-1-22-1-1-2211-2-100001-1-111-112i−2i2i−2i−i3i3−i3i3−ii−ii3−33−32i−2i2i−2i00002-22-20000−i3i3−i3i3−i3i3−i3i30000−ii−ii−i3i3−i3i33−33−300000000-11-110000−ii−ii3−33−3000000000000000000
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χ1324-4-4-444-444-20000442-2-422-44-2-2-4-42-20000-22-2-222200000000000000000000−4i4i4i−4i000000000000000000000000000000000000000000000000000000002i−2i−2i2i00000000000000
χ1334-4-4-444-44-240000-2-2-442-4-42-24422-4-20000-22-2-222200000000000000000000000000004-4-44-2-22222-2-20000000000000000000000000000000000000000000000000000000000
χ1344-4-4-444-44-240000-2-2-442-4-42-24422-4-20000-22-2-22220000000000000000000000000000-444-422-2-2-2-2220000000000000000000000000000000000000000000000000000000000
χ135888-88-8-8-8-4-400004-44-4-4-4-44444-44420000-2-2-2222-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13688-88-88-8-8-4-40000-4444-44-444-444-4-4200002-2-2-2-22200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1378-888-8-8-88-4-4000044444-444-44-4-4-4-420000-2-22-22-2200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1388-8-8-888-88-4-40000-4-44-44444-4-4-4444200002-222-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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