Finite Group Databasebeta

← Group #11803377

Character table — Group #11803377

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111111122222222222222222222444444444444444444448888888888888888888812121212121212121212121212121212121212121212121212121212121212121818181818181818242424242424242436363636
order12222222334444666666666666663444466666661212121212121212121212121212121212121212121212121212121222444444444444441212121212121212121212121212121222224444661212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ611111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ711111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ811111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ91111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1
χ101111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111
χ111111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111
χ121111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1
χ131111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1
χ141111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-111-1-1-1-111
χ151111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111
χ161111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1
χ17111-1-1-11-111ii−i−i1-1-11-11-11-11-1-11-111-1i−i11-1-1-11-1ii−i−iii−i−i1-1i−i1-1i−i11-1-1ii−i−iii−i−i1-1i−i1-1i−i1-1i−i1-1i−i11-1-1ii−i−i11-1-1ii−i−i11-1-1ii−i−i1-1i−i1-1i−i1-1i−i
χ18111-1-1-11-111ii−i−i1-1-11-11-11-11-1-11-111-1i−i11-1-1-11-1ii−i−iii−i−i1-1i−i1-1i−i11-1-1ii−i−iii−i−i1-1i−i1-1i−i-11−ii-11−ii11-1-1ii−i−i-1-111−i−iii-1-111−i−iii1-1i−i-11−ii-11−ii
χ19111-1-1-11-111ii−i−i1-1-11-11-11-11-1-11-111-1i−i11-1-1-11-1ii−i−iii−i−i1-1i−i1-1i−i11-1-1ii−i−iii−i−i-11−ii-11−ii1-1i−i1-1i−i-1-111−i−iii11-1-1ii−i−i-1-111−i−iii-11−ii1-1i−i-11−ii
χ20111-1-1-11-111ii−i−i1-1-11-11-11-11-1-11-111-1i−i11-1-1-11-1ii−i−iii−i−i1-1i−i1-1i−i11-1-1ii−i−iii−i−i-11−ii-11−ii-11−ii-11−ii-1-111−i−iii-1-111−i−iii11-1-1ii−i−i-11−ii-11−ii1-1i−i
χ21111-1-1-11-111ii−i−i1-1-11-11-11-11-1-11-11-11−ii11-1-1-11-1ii−i−iii−i−i-11−ii-11−ii-1-111ii−i−i−i−iii1-1i−i-11−ii1-1i−i-11−ii-1-111−i−iii11-1-1ii−i−i-1-111−i−iii1-1i−i-11−ii1-1i−i
χ22111-1-1-11-111ii−i−i1-1-11-11-11-11-1-11-11-11−ii11-1-1-11-1ii−i−iii−i−i-11−ii-11−ii-1-111ii−i−i−i−iii1-1i−i-11−ii-11−ii1-1i−i-1-111−i−iii-1-111−i−iii11-1-1ii−i−i1-1i−i1-1i−i-11−ii
χ23111-1-1-11-111ii−i−i1-1-11-11-11-11-1-11-11-11−ii11-1-1-11-1ii−i−iii−i−i-11−ii-11−ii-1-111ii−i−i−i−iii-11−ii1-1i−i1-1i−i-11−ii11-1-1ii−i−i11-1-1ii−i−i11-1-1ii−i−i-11−ii-11−ii-11−ii
χ24111-1-1-11-111ii−i−i1-1-11-11-11-11-1-11-11-11−ii11-1-1-11-1ii−i−iii−i−i-11−ii-11−ii-1-111ii−i−i−i−iii-11−ii1-1i−i-11−ii1-1i−i11-1-1ii−i−i-1-111−i−iii-1-111−i−iii-11−ii1-1i−i1-1i−i
χ25111-1-1-11-111−i−iii1-1-11-11-11-11-1-11-111-1−ii11-1-1-11-1−i−iii−i−iii1-1−ii1-1−ii11-1-1−i−iii−i−iii1-1−ii1-1−ii1-1−ii1-1−ii11-1-1−i−iii11-1-1−i−iii11-1-1−i−iii1-1−ii1-1−ii1-1−ii
χ26111-1-1-11-111−i−iii1-1-11-11-11-11-1-11-111-1−ii11-1-1-11-1−i−iii−i−iii1-1−ii1-1−ii11-1-1−i−iii−i−iii1-1−ii1-1−ii-11i−i-11i−i11-1-1−i−iii-1-111ii−i−i-1-111ii−i−i1-1−ii-11i−i-11i−i
χ27111-1-1-11-111−i−iii1-1-11-11-11-11-1-11-111-1−ii11-1-1-11-1−i−iii−i−iii1-1−ii1-1−ii11-1-1−i−iii−i−iii-11i−i-11i−i1-1−ii1-1−ii-1-111ii−i−i11-1-1−i−iii-1-111ii−i−i-11i−i1-1−ii-11i−i
χ28111-1-1-11-111−i−iii1-1-11-11-11-11-1-11-111-1−ii11-1-1-11-1−i−iii−i−iii1-1−ii1-1−ii11-1-1−i−iii−i−iii-11i−i-11i−i-11i−i-11i−i-1-111ii−i−i-1-111ii−i−i11-1-1−i−iii-11i−i-11i−i1-1−ii
χ29111-1-1-11-111−i−iii1-1-11-11-11-11-1-11-11-11i−i11-1-1-11-1−i−iii−i−iii-11i−i-11i−i-1-111−i−iiiii−i−i1-1−ii-11i−i1-1−ii-11i−i-1-111ii−i−i11-1-1−i−iii-1-111ii−i−i1-1−ii-11i−i1-1−ii
χ30111-1-1-11-111−i−iii1-1-11-11-11-11-1-11-11-11i−i11-1-1-11-1−i−iii−i−iii-11i−i-11i−i-1-111−i−iiiii−i−i1-1−ii-11i−i-11i−i1-1−ii-1-111ii−i−i-1-111ii−i−i11-1-1−i−iii1-1−ii1-1−ii-11i−i
χ31111-1-1-11-111−i−iii1-1-11-11-11-11-1-11-11-11i−i11-1-1-11-1−i−iii−i−iii-11i−i-11i−i-1-111−i−iiiii−i−i-11i−i1-1−ii1-1−ii-11i−i11-1-1−i−iii11-1-1−i−iii11-1-1−i−iii-11i−i-11i−i-11i−i
χ32111-1-1-11-111−i−iii1-1-11-11-11-11-1-11-11-11i−i11-1-1-11-1−i−iii−i−iii-11i−i-11i−i-1-111−i−iiiii−i−i-11i−i1-1−ii-11i−i1-1−ii11-1-1−i−iii-1-111ii−i−i-1-111ii−i−i-11i−i1-1−ii1-1−ii
χ33222222222-12222222-1-1-1-122-1-1-122-12222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222222200000000-1-1-1-1-1-1-1-10000000000000000-1-1-1-100000000
χ34222222222-12222222-1-1-1-122-1-1-122-12222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-200000000111111110000000000000000111100000000
χ35222222222-12222222-1-1-1-122-1-1-122-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-122221111-2-2-2-21111-1-1-1-111112222-2-2-2-200000000111111110000000000000000-1-1-1-100000000
χ36222222222-12222222-1-1-1-122-1-1-122-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-122221111-2-2-2-21111-1-1-1-11111-2-2-2-2222200000000-1-1-1-1-1-1-1-10000000000000000111100000000
χ37222222222-1-2-2-2-2222-1-1-1-122-1-1-122-122-2-2-1-1-1-1-1-1-11111-2-2-2-2-1-11122-2-2-1-1-1-11111111122-2-222-2-200000000-1-1-1-111110000000000000000-1-11100000000
χ38222222222-1-2-2-2-2222-1-1-1-122-1-1-122-122-2-2-1-1-1-1-1-1-11111-2-2-2-2-1-11122-2-2-1-1-1-111111111-2-222-2-222000000001111-1-1-1-1000000000000000011-1-100000000
χ39222222222-1-2-2-2-2222-1-1-1-122-1-1-122-1-2-222-1-1-1-1-1-1-11111-2-2-2-211-1-1-2-22211111111-1-1-1-122-2-2-2-222000000001111-1-1-1-10000000000000000-1-11100000000
χ40222222222-1-2-2-2-2222-1-1-1-122-1-1-122-1-2-222-1-1-1-1-1-1-11111-2-2-2-211-1-1-2-22211111111-1-1-1-1-2-22222-2-200000000-1-1-1-11111000000000000000011-1-100000000
χ4122222222-122222-1-1-12222-1-1222-1-1-12222-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000002222222200000000-1-1-1-1-1-1-1-1000000000000-1-1-1-10000
χ4222222222-122222-1-1-12222-1-1222-1-1-12222-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2-2-2-2-2000000001111111100000000000011110000
χ4322222222-122222-1-1-12222-1-1222-1-1-1-2-2-2-2-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-211111111-1-1-1-11111000000002222-2-2-2-200000000-1-1-1-1-1-1-1-100000000000011110000
χ4422222222-122222-1-1-12222-1-1222-1-1-1-2-2-2-2-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-211111111-1-1-1-1111100000000-2-2-2-222220000000011111111000000000000-1-1-1-10000
χ4522222222-12-2-2-2-2-1-1-12222-1-1222-1-1-122-2-2-1-1-1-1-1-1-1-2-2-2-2111122-2-2-1-111-1-1-1-1111111110000000022-2-222-2-200000000-1-1-1-11111000000000000-1-1110000
χ4622222222-12-2-2-2-2-1-1-12222-1-1222-1-1-122-2-2-1-1-1-1-1-1-1-2-2-2-2111122-2-2-1-111-1-1-1-11111111100000000-2-222-2-222000000001111-1-1-1-100000000000011-1-10000
χ4722222222-12-2-2-2-2-1-1-12222-1-1222-1-1-1-2-222-1-1-1-1-1-1-1-2-2-2-21111-2-22211-1-111111111-1-1-1-10000000022-2-2-2-22200000000-1-1-1-1111100000000000011-1-10000
χ4822222222-12-2-2-2-2-1-1-12222-1-1222-1-1-1-2-222-1-1-1-1-1-1-1-2-2-2-21111-2-22211-1-111111111-1-1-1-100000000-2-22222-2-2000000001111-1-1-1-1000000000000-1-1110000
χ49222-2-2-22-22-12i2i−2i−2i2-2-2-11-112-2-1112-2-12-22i−2i-1-1111-11−i−iii2i2i−2i−2i-11−ii2-22i−2i-1-111−i−iii−i−iii2-22i−2i2-22i−2i00000000-1-111−i−iii0000000000000000-11−ii00000000
χ50222-2-2-22-22-12i2i−2i−2i2-2-2-11-112-2-1112-2-12-22i−2i-1-1111-11−i−iii2i2i−2i−2i-11−ii2-22i−2i-1-111−i−iii−i−iii-22−2i2i-22−2i2i0000000011-1-1ii−i−i00000000000000001-1i−i00000000
χ51222-2-2-22-22-12i2i−2i−2i2-2-2-11-112-2-1112-2-1-22−2i2i-1-1111-11−i−iii2i2i−2i−2i1-1i−i-22−2i2i11-1-1−i−iiiii−i−i2-22i−2i-22−2i2i0000000011-1-1ii−i−i0000000000000000-11−ii00000000
χ52222-2-2-22-22-12i2i−2i−2i2-2-2-11-112-2-1112-2-1-22−2i2i-1-1111-11−i−iii2i2i−2i−2i1-1i−i-22−2i2i11-1-1−i−iiiii−i−i-22−2i2i2-22i−2i00000000-1-111−i−iii00000000000000001-1i−i00000000
χ53222-2-2-22-22-1−2i−2i2i2i2-2-2-11-112-2-1112-2-12-2−2i2i-1-1111-11ii−i−i−2i−2i2i2i-11i−i2-2−2i2i-1-111ii−i−iii−i−i2-2−2i2i2-2−2i2i00000000-1-111ii−i−i0000000000000000-11i−i00000000
χ54222-2-2-22-22-1−2i−2i2i2i2-2-2-11-112-2-1112-2-12-2−2i2i-1-1111-11ii−i−i−2i−2i2i2i-11i−i2-2−2i2i-1-111ii−i−iii−i−i-222i−2i-222i−2i0000000011-1-1−i−iii00000000000000001-1−ii00000000
χ55222-2-2-22-22-1−2i−2i2i2i2-2-2-11-112-2-1112-2-1-222i−2i-1-1111-11ii−i−i−2i−2i2i2i1-1−ii-222i−2i11-1-1ii−i−i−i−iii2-2−2i2i-222i−2i0000000011-1-1−i−iii0000000000000000-11i−i00000000
χ56222-2-2-22-22-1−2i−2i2i2i2-2-2-11-112-2-1112-2-1-222i−2i-1-1111-11ii−i−i−2i−2i2i2i1-1−ii-222i−2i11-1-1ii−i−i−i−iii-222i−2i2-2−2i2i00000000-1-111ii−i−i00000000000000001-1−ii00000000
χ57222-2-2-22-2-122i2i−2i−2i-1112-22-2-112-2-2-11-12-22i−2i-1-1111-112i2i−2i−2i−i−iii2-22i−2i-11−ii-1-111−i−iii−i−iii000000002-22i−2i2-22i−2i00000000-1-111−i−iii000000000000-11−ii0000
χ58222-2-2-22-2-122i2i−2i−2i-1112-22-2-112-2-2-11-12-22i−2i-1-1111-112i2i−2i−2i−i−iii2-22i−2i-11−ii-1-111−i−iii−i−iii00000000-22−2i2i-22−2i2i0000000011-1-1ii−i−i0000000000001-1i−i0000
χ59222-2-2-22-2-122i2i−2i−2i-1112-22-2-112-2-2-11-1-22−2i2i-1-1111-112i2i−2i−2i−i−iii-22−2i2i1-1i−i11-1-1−i−iiiii−i−i000000002-22i−2i-22−2i2i00000000-1-111−i−iii0000000000001-1i−i0000
χ60222-2-2-22-2-122i2i−2i−2i-1112-22-2-112-2-2-11-1-22−2i2i-1-1111-112i2i−2i−2i−i−iii-22−2i2i1-1i−i11-1-1−i−iiiii−i−i00000000-22−2i2i2-22i−2i0000000011-1-1ii−i−i000000000000-11−ii0000
χ61222-2-2-22-2-12−2i−2i2i2i-1112-22-2-112-2-2-11-12-2−2i2i-1-1111-11−2i−2i2i2iii−i−i2-2−2i2i-11i−i-1-111ii−i−iii−i−i000000002-2−2i2i2-2−2i2i00000000-1-111ii−i−i000000000000-11i−i0000
χ62222-2-2-22-2-12−2i−2i2i2i-1112-22-2-112-2-2-11-12-2−2i2i-1-1111-11−2i−2i2i2iii−i−i2-2−2i2i-11i−i-1-111ii−i−iii−i−i00000000-222i−2i-222i−2i0000000011-1-1−i−iii0000000000001-1−ii0000
χ63222-2-2-22-2-12−2i−2i2i2i-1112-22-2-112-2-2-11-1-222i−2i-1-1111-11−2i−2i2i2iii−i−i-222i−2i1-1−ii11-1-1ii−i−i−i−iii000000002-2−2i2i-222i−2i00000000-1-111ii−i−i0000000000001-1−ii0000
χ64222-2-2-22-2-12−2i−2i2i2i-1112-22-2-112-2-2-11-1-222i−2i-1-1111-11−2i−2i2i2iii−i−i-222i−2i1-1−ii11-1-1ii−i−i−i−iii00000000-222i−2i2-2−2i2i0000000011-1-1−i−iii000000000000-11i−i0000
χ652-2-222-22-2222i−2i2i−2i-22-2-222-2-22-22-22-220000-2-222-22-22i−2i2i−2i2i−2i2i−2i0000000000002i−2i2i−2i0000000000000000000000000000000000002-22-22i−2i2i−2i000000000000
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χ682-2-222-22-222−2i2i−2i2i-22-2-222-2-22-22-22-220000-2-222-22-2−2i2i−2i2i−2i2i−2i2i000000000000−2i2i−2i2i000000000000000000000000000000000000-22-222i−2i2i−2i000000000000
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χ702-2-2-2-2222222-2-22-2-22-2-222-2-2-2-222220000-2-2-2-22222-2-222-2-220000000000002-2-22000000000000000000000000000000000000-222-2-222-2000000000000
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χ722-2-2-2-222222-222-2-2-22-2-222-2-2-2-222220000-2-2-2-2222-222-2-222-2000000000000-222-2000000000000000000000000000000000000-222-22-2-22000000000000
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χ1064-4-444-44-4-2-24i−4i4i−4i2-222-2-222-22-22-2210000-1-111-11-1−2i2i−2i2i−2i2i−2i2i00000000-33-33i−ii−i−3i3i−3i3i0000000000000000000000000000000000000000000000000000
χ1074-4-444-44-4-2-2−4i4i−4i4i2-222-2-222-22-22-2210000-1-111-11-12i−2i2i−2i2i−2i2i−2i000000003-33-3−ii−ii−3i3i−3i3i0000000000000000000000000000000000000000000000000000
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χ1144-4-4-4-4444-2-24-4-4422-222-2-22222-2-2-210000-1-1-1-1111-222-2-222-200000000-333-31-1-11-333-30000000000000000000000000000000000000000000000000000
χ1154-4-4-4-4444-2-2-444-422-222-2-22222-2-2-210000-1-1-1-11112-2-222-2-22000000003-3-33-111-1-333-30000000000000000000000000000000000000000000000000000
χ1164-4-4-4-4444-2-2-444-422-222-2-22222-2-2-210000-1-1-1-11112-2-222-2-2200000000-333-3-111-13-3-330000000000000000000000000000000000000000000000000000
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χ1208-88-888-8-8-4-400004-4-4-4444-444-4-44420000-22-222-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000

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