Finite Group Databasebeta

← Group #11806896

Character table — Group #11806896

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size111111112222222222222222222244444444444444444444444444446666666666666666666666668888888888888888121212121212121212121212121212121212121212121212121212121818181824242424363636363636
order122222223344446666666666666622344666666666661212121212121212121212124444444444444444121212121212121266666612121212121212121212222244446666121212121212121212121212121212124444661212224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
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
χ51111111111111111111111111111-1-11-1-1-1-1-1-111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111
χ61111111111111111111111111111-1-11-1-1-1-1-1-111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1
χ71111111111111111111111111111-1-11-1-1-1-1-1-111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-1
χ81111111111111111111111111111-1-11-1-1-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ91111111111-1-1-1-111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1
χ101111111111-1-1-1-111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111
χ111111111111-1-1-1-111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-111
χ121111111111-1-1-1-111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1
χ131111111111-1-1-1-111111111111111-1-1111-1-1-1-11111111-1-1-1-11111-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1
χ141111111111-1-1-1-111111111111111-1-1111-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111
χ151111111111-1-1-1-111111111111111-1-1111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-111
χ161111111111-1-1-1-111111111111111-1-1111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1
χ171-111-11-1-111ii−i−i1111-1-1-1-1-111-1-1-11-11i−i11-1-1111-1-1-1-1ii−i−iii−i−iii−i−i11-1-111-1-1ii−i−iii−i−iiiii−i−i−i−i1-111-1-1i−iii−i−iii−i−i1-11-1i−ii−i11-1-111-1-111-1-1ii−i−iii−i−iii−i−i1-1i−i1-11-1i−i
χ181-111-11-1-111ii−i−i1111-1-1-1-1-111-1-1-11-11i−i11-1-1111-1-1-1-1ii−i−iii−i−iii−i−i11-1-1-1-111ii−i−iii−i−iiiii−i−i−i−i1-111-1-1i−iii−i−iii−i−i1-1-11−ii−ii11-1-111-1-1-1-111−i−iiiii−i−i−i−iii-11−ii-11-11−ii
χ191-111-11-1-111ii−i−i1111-1-1-1-1-111-1-1-11-11i−i11-1-1111-1-1-1-1ii−i−iii−i−iii−i−i-1-11111-1-1−i−iii−i−iii−i−i−i−iiiii1-111-1-1i−iii−i−iii−i−i-111-1i−ii−i-1-111-1-11111-1-1ii−i−i−i−iii−i−iii1-1i−i-11-11−ii
χ201-111-11-1-111ii−i−i1111-1-1-1-1-111-1-1-11-11i−i11-1-1111-1-1-1-1ii−i−iii−i−iii−i−i-1-111-1-111−i−iii−i−iii−i−i−i−iiiii1-111-1-1i−iii−i−iii−i−i-11-11−ii−ii-1-111-1-111-1-111−i−iii−i−iiiii−i−i-11−ii1-11-1i−i
χ211-111-11-1-111ii−i−i1111-1-1-1-1-111-1-1-1-111−ii-1-111111-1-1-1-1ii−i−i−i−iiiii−i−i11-1-111-1-1ii−i−i−i−iii−i−i−i−iiiii-11-1-111−iiii−i−i−i−iii-11-11−iii−i-1-11111-1-111-1-1ii−i−iii−i−i−i−iii-11−ii-111-1i−i
χ221-111-11-1-111ii−i−i1111-1-1-1-1-111-1-1-1-111−ii-1-111111-1-1-1-1ii−i−i−i−iiiii−i−i11-1-1-1-111ii−i−i−i−iii−i−i−i−iiiii-11-1-111−iiii−i−i−i−iii-111-1i−i−ii-1-11111-1-1-1-111−i−iiiii−i−iii−i−i1-1i−i1-1-11−ii
χ231-111-11-1-111ii−i−i1111-1-1-1-1-111-1-1-1-111−ii-1-111111-1-1-1-1ii−i−i−i−iiiii−i−i-1-11111-1-1−i−iiiii−i−iiiii−i−i−i−i-11-1-111−iiii−i−i−i−iii1-1-11−iii−i11-1-1-1-11111-1-1ii−i−i−i−iiiii−i−i-11−ii1-1-11−ii
χ241-111-11-1-111ii−i−i1111-1-1-1-1-111-1-1-1-111−ii-1-111111-1-1-1-1ii−i−i−i−iiiii−i−i-1-111-1-111−i−iiiii−i−iiiii−i−i−i−i-11-1-111−iiii−i−i−i−iii1-11-1i−i−ii11-1-1-1-111-1-111−i−iii−i−iii−i−iii1-1i−i-111-1i−i
χ251-111-11-1-111−i−iii1111-1-1-1-1-111-1-1-11-11−ii11-1-1111-1-1-1-1−i−iii−i−iii−i−iii11-1-111-1-1−i−iii−i−iii−i−i−i−iiiii1-111-1-1−ii−i−iii−i−iii1-11-1−ii−ii11-1-111-1-111-1-1−i−iii−i−iii−i−iii1-1−ii1-11-1−ii
χ261-111-11-1-111−i−iii1111-1-1-1-1-111-1-1-11-11−ii11-1-1111-1-1-1-1−i−iii−i−iii−i−iii11-1-1-1-111−i−iii−i−iii−i−i−i−iiiii1-111-1-1−ii−i−iii−i−iii1-1-11i−ii−i11-1-111-1-1-1-111ii−i−i−i−iiiii−i−i-11i−i-11-11i−i
χ271-111-11-1-111−i−iii1111-1-1-1-1-111-1-1-11-11−ii11-1-1111-1-1-1-1−i−iii−i−iii−i−iii-1-11111-1-1ii−i−iii−i−iiiii−i−i−i−i1-111-1-1−ii−i−iii−i−iii-111-1−ii−ii-1-111-1-11111-1-1−i−iiiii−i−iii−i−i1-1−ii-11-11i−i
χ281-111-11-1-111−i−iii1111-1-1-1-1-111-1-1-11-11−ii11-1-1111-1-1-1-1−i−iii−i−iii−i−iii-1-111-1-111ii−i−iii−i−iiiii−i−i−i−i1-111-1-1−ii−i−iii−i−iii-11-11i−ii−i-1-111-1-111-1-111ii−i−iii−i−i−i−iii-11i−i1-11-1−ii
χ291-111-11-1-111−i−iii1111-1-1-1-1-111-1-1-1-111i−i-1-111111-1-1-1-1−i−iiiii−i−i−i−iii11-1-111-1-1−i−iiiii−i−iiiii−i−i−i−i-11-1-111i−i−i−iiiii−i−i-11-11i−i−ii-1-11111-1-111-1-1−i−iii−i−iiiii−i−i-11i−i-111-1−ii
χ301-111-11-1-111−i−iii1111-1-1-1-1-111-1-1-1-111i−i-1-111111-1-1-1-1−i−iiiii−i−i−i−iii11-1-1-1-111−i−iiiii−i−iiiii−i−i−i−i-11-1-111i−i−i−iiiii−i−i-111-1−iii−i-1-11111-1-1-1-111ii−i−i−i−iii−i−iii1-1−ii1-1-11i−i
χ311-111-11-1-111−i−iii1111-1-1-1-1-111-1-1-1-111i−i-1-111111-1-1-1-1−i−iiiii−i−i−i−iii-1-11111-1-1ii−i−i−i−iii−i−i−i−iiiii-11-1-111i−i−i−iiiii−i−i1-1-11i−i−ii11-1-1-1-11111-1-1−i−iiiii−i−i−i−iii-11i−i1-1-11i−i
χ321-111-11-1-111−i−iii1111-1-1-1-1-111-1-1-1-111i−i-1-111111-1-1-1-1−i−iiiii−i−i−i−iii-1-111-1-111ii−i−i−i−iii−i−i−i−iiiii-11-1-111i−i−i−iiiii−i−i1-11-1−iii−i11-1-1-1-111-1-111ii−i−iii−i−iii−i−i1-1−ii-111-1−ii
χ33222222222-1222222-1-122-12-12-1-1-1222-1222222-1-1-1-1-1-1-1-1-1-1-122222222000022220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10022222200000000-1-1-1-1-1-1-1-100000000-1-1-1-1000000
χ34222222222-1222222-1-122-12-12-1-1-1222-1222222-1-1-1-1-1-1-1-1-1-1-1222222220000-2-2-2-20000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-2-2-20000000011111111000000001111000000
χ35222222222-1222222-1-122-12-12-1-1-12-2-2-1-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222200002222000000000000000011111111-1-1-1-1111100-2-2-2-22200000000-1-1-1-1-1-1-1-1000000001111000000
χ36222222222-1222222-1-122-12-12-1-1-12-2-2-1-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222220000-2-2-2-2000000000000000011111111-1-1-1-11111002222-2-2000000001111111100000000-1-1-1-1000000
χ37222222222-1-2-2-2-222-1-122-12-12-1-1-1222-1-2-22222-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-2000022220000000000000000-1-1-1-1-1-111111111110022-2-2-2-200000000-1-1-1-1111100000000-1-111000000
χ38222222222-1-2-2-2-222-1-122-12-12-1-1-1222-1-2-22222-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-20000-2-2-2-20000000000000000-1-1-1-1-1-1111111111100-2-22222000000001111-1-1-1-10000000011-1-1000000
χ39222222222-1-2-2-2-222-1-122-12-12-1-1-12-2-2-122-2-2-2-2-1-1-1-1-1-1-111112222-2-2-2-2000022220000000000000000111111-1-11111-1-1-1-100-2-222-2-200000000-1-1-1-111110000000011-1-1000000
χ40222222222-1-2-2-2-222-1-122-12-12-1-1-12-2-2-122-2-2-2-2-1-1-1-1-1-1-111112222-2-2-2-20000-2-2-2-20000000000000000111111-1-11111-1-1-1-10022-2-222000000001111-1-1-1-100000000-1-111000000
χ4122222222-122222-1-122-1-12-12-1222-122-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222000022222222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-122000000-1-1-1-1-1-1-1-100000000-1-1-1-100000000000000
χ4222222222-122222-1-122-1-12-12-1222-122-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-20000-2-2-2-2-2-2-2-21111111122-1-1-1-122-1-1-1-1-1-1-1-1-2-20000001111111100000000111100000000000000
χ4322222222-122222-1-122-1-12-12-1222-1-2-2-1-2-21111-1-1-1-1-1-1-122221111-1-1-1-1222200002222-2-2-2-211111111-2-21111-2-2-1-1-1-11111-2-20000001111-1-1-1-100000000-1-1-1-100000000000000
χ4422222222-122222-1-122-1-12-12-1222-1-2-2-1-2-21111-1-1-1-1-1-1-122221111-1-1-1-1-2-2-2-20000-2-2-2-22222-1-1-1-1-1-1-1-1-2-21111-2-2-1-1-1-1111122000000-1-1-1-1111100000000111100000000000000
χ4522222222-12-2-2-2-2-1-122-1-12-12-1222-122-1-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111122220000-2-2-2-2-2-2-2-21111111122-1-1-1-1-2-21111111122000000-1-1-1-1-1-1-1-100000000111100000000000000
χ4622222222-12-2-2-2-2-1-122-1-12-12-1222-122-1-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-2000022222222-1-1-1-1-1-1-1-122-1-1-1-1-2-211111111-2-20000001111111100000000-1-1-1-100000000000000
χ4722222222-12-2-2-2-2-1-122-1-12-12-1222-1-2-2-1221111-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1111122220000-2-2-2-22222-1-1-1-1-1-1-1-1-2-21111221111-1-1-1-1-2-20000001111-1-1-1-100000000111100000000000000
χ4822222222-12-2-2-2-2-1-122-1-12-12-1222-1-2-2-1221111-1-1-1-1-1-1-1-2-2-2-2-1-1-1-11111-2-2-2-200002222-2-2-2-211111111-2-21111221111-1-1-1-122000000-1-1-1-1111100000000-1-1-1-100000000000000
χ49222-22-2-2-22200002-2-2-22-222-2-22-22-20020000002-2-22-22-200000000000000002-22-200002i−2i2i−2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000000000002-22-2000000002i−2i2i−2i0000000000
χ50222-22-2-2-22200002-2-2-22-222-2-22-22-20020000002-2-22-22-200000000000000002-22-20000−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000002-22-200000000−2i2i−2i2i0000000000
χ51222-22-2-2-22200002-2-2-22-222-2-22-22-20020000002-2-22-22-20000000000000000-22-2200002i−2i2i−2i2i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000-22-2200000000−2i2i−2i2i0000000000
χ52222-22-2-2-22200002-2-2-22-222-2-22-22-20020000002-2-22-22-20000000000000000-22-220000−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000-22-22000000002i−2i2i−2i0000000000
χ5322-22-2-22-2222i−2i2i−2i-2-22-2222-2-22-22-2-2002000000-22-222-2-22i−2i2i−2i00002i−2i2i−2i2-22-200002i−2i2i−2i000000000000000000002i−2i2i−2i00000000000000002-22-2000000002i−2i2i−2i00000000000000
χ5422-22-2-22-2222i−2i2i−2i-2-22-2222-2-22-22-2-2002000000-22-222-2-22i−2i2i−2i00002i−2i2i−2i-22-220000−2i2i−2i2i000000000000000000002i−2i2i−2i0000000000000000-22-2200000000−2i2i−2i2i00000000000000
χ5522-22-2-22-222−2i2i−2i2i-2-22-2222-2-22-22-2-2002000000-22-222-2-2−2i2i−2i2i0000−2i2i−2i2i2-22-20000−2i2i−2i2i00000000000000000000−2i2i−2i2i00000000000000002-22-200000000−2i2i−2i2i00000000000000
χ5622-22-2-22-222−2i2i−2i2i-2-22-2222-2-22-22-2-2002000000-22-222-2-2−2i2i−2i2i0000−2i2i−2i2i-22-2200002i−2i2i−2i00000000000000000000−2i2i−2i2i0000000000000000-22-22000000002i−2i2i−2i00000000000000
χ5722-22-2-22-2-122i−2i2i−2i112-2-1-121-2-1-22-2100-100−i3i3−i3i31-11-1-1112i−2i2i−2i3−33−3−ii−ii2-22-200002i−2i2i−2i00003−33−33−33−300−i3i3−i3i300−ii−ii3−33−300000000−i3i3−i3i3-11-1100000000−ii−ii00000000000000
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χ135888-88-8-8-8-4-40000-4444-44-4-444-44-440020000002-2-22-22-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13688-8-8-88-88-4-400004-44-4-44-44-44444-4002000000-2-222-2-220000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1378-88-8-8-888-4-40000-44444-444-44-4-44-40020000002-2-2-22-220000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1388-8-8-8888-8-4-400004-44-44-44-4444-4-44002000000-2-22-222-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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