Finite Group Databasebeta

← Group #11807553

Character table — Group #11807553

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11111111222222222222222244444444444444444444446666666666666666888888888888888888881212121212121212121212121212121212121212121212121818181818181818242424242424242436363636
order12222222336666666666666634444446666666121212121212121244444444444444441212121212121212121212121212121212121212224444441212121212121212121212121212121244444444661212121212122244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111-1-1-1-111111111111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1
χ6111111111111111111111111111-1-1-1-111111111111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-111
χ7111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ8111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-1
χ91111111111111111111111111-1-111-1-11111111-1-1-1-111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-111
χ101111111111111111111111111-1-111-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1111111-1-1
χ111111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-1
χ121111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-111
χ131111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-111111111-1-1-1-111111111-1-111-1-111-1-1-1-1
χ141111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11111
χ151111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ161111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-1
χ17111-1-1-11-1111-11-11-11-1-11-1-1-1111-1i−ii−i11-1-11-1-111-1-1ii−i−iii−i−iii−i−iii−i−i11-1-11-1i−ii−ii−i11-1-1ii−i−iii−i−i1-11-1i−i1-1ii−i−iii−i−iii−i−i11-1-111-1-1ii−i−i1-11-1i−i1-11-1i−i
χ18111-1-1-11-1111-11-11-11-1-11-1-1-1111-1i−ii−i11-1-11-1-111-1-1ii−i−iii−i−iii−i−i−i−iii-1-1111-1i−ii−ii−i11-1-1ii−i−iii−i−i1-11-1−ii-11ii−i−i−i−iiiii−i−i-1-111-1-111−i−iii1-11-1−ii-11-11−ii
χ19111-1-1-11-1111-11-11-11-1-11-1-1-1111-1i−ii−i11-1-11-1-111-1-1ii−i−i−i−iii−i−iiiii−i−i11-1-11-1i−ii−ii−i11-1-1ii−i−iii−i−i-11-11i−i1-1−i−iiiii−i−i−i−iii11-1-1-1-111−i−iii-11-11i−i1-1-11−ii
χ20111-1-1-11-1111-11-11-11-1-11-1-1-1111-1i−ii−i11-1-11-1-111-1-1ii−i−i−i−iii−i−iii−i−iii-1-1111-1i−ii−ii−i11-1-1ii−i−iii−i−i-11-11−ii-11−i−iii−i−iii−i−iii-1-11111-1-1ii−i−i-11-11−ii-111-1i−i
χ21111-1-1-11-1111-11-11-11-1-11-1-1-1111-1−ii−ii11-1-11-1-111-1-1−i−iiiii−i−iii−i−iii−i−i-1-1111-1−ii−ii−ii11-1-1−i−iii−i−iii-11-11i−i-11ii−i−iii−i−iii−i−i-1-11111-1-1−i−iii-11-11i−i-111-1−ii
χ22111-1-1-11-1111-11-11-11-1-11-1-1-1111-1−ii−ii11-1-11-1-111-1-1−i−iiiii−i−iii−i−i−i−iii11-1-11-1−ii−ii−ii11-1-1−i−iii−i−iii-11-11−ii1-1ii−i−i−i−iiiii−i−i11-1-1-1-111ii−i−i-11-11−ii1-1-11i−i
χ23111-1-1-11-1111-11-11-11-1-11-1-1-1111-1−ii−ii11-1-11-1-111-1-1−i−iii−i−iii−i−iiiii−i−i-1-1111-1−ii−ii−ii11-1-1−i−iii−i−iii1-11-1i−i-11−i−iiiii−i−i−i−iii-1-111-1-111ii−i−i1-11-1i−i-11-11i−i
χ24111-1-1-11-1111-11-11-11-1-11-1-1-1111-1−ii−ii11-1-11-1-111-1-1−i−iii−i−iii−i−iii−i−iii11-1-11-1−ii−ii−ii11-1-1−i−iii−i−iii1-11-1−ii1-1−i−iii−i−iii−i−iii11-1-111-1-1−i−iii1-11-1−ii1-11-1−ii
χ25111-1-1-11-1111-11-11-11-1-11-1-1-111-11i−i−ii11-1-11-1-1-1-111ii−i−iii−i−i−i−iiiii−i−i11-1-1-11i−i−ii−ii-1-111ii−i−i−i−iii1-1-11−ii-11−i−iiiii−i−iii−i−i11-1-111-1-1−i−iii1-1-11−ii-11-11i−i
χ26111-1-1-11-1111-11-11-11-1-11-1-1-111-11i−i−ii11-1-11-1-1-1-111ii−i−iii−i−i−i−iii−i−iii-1-111-11i−i−ii−ii-1-111ii−i−i−i−iii1-1-11i−i1-1−i−iii−i−iiiii−i−i-1-111-1-111ii−i−i1-1-11i−i1-11-1−ii
χ27111-1-1-11-1111-11-11-11-1-11-1-1-111-11i−i−ii11-1-11-1-1-1-111ii−i−i−i−iiiii−i−iii−i−i11-1-1-11i−i−ii−ii-1-111ii−i−i−i−iii-111-1−ii-11ii−i−iii−i−i−i−iii11-1-1-1-111ii−i−i-111-1−ii-111-1−ii
χ28111-1-1-11-1111-11-11-11-1-11-1-1-111-11i−i−ii11-1-11-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii-1-111-11i−i−ii−ii-1-111ii−i−i−i−iii-111-1i−i1-1ii−i−i−i−iii−i−iii-1-11111-1-1−i−iii-111-1i−i1-1-11i−i
χ29111-1-1-11-1111-11-11-11-1-11-1-1-111-11−iii−i11-1-11-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i-1-111-11−iii−ii−i-1-111−i−iiiii−i−i-111-1−ii1-1−i−iiiii−i−iii−i−i-1-11111-1-1ii−i−i-111-1−ii1-1-11−ii
χ30111-1-1-11-1111-11-11-11-1-11-1-1-111-11−iii−i11-1-11-1-1-1-111−i−iiiii−i−i−i−iii−i−iii11-1-1-11−iii−ii−i-1-111−i−iiiii−i−i-111-1i−i-11−i−iii−i−iiiii−i−i11-1-1-1-111−i−iii-111-1i−i-111-1i−i
χ31111-1-1-11-1111-11-11-11-1-11-1-1-111-11−iii−i11-1-11-1-1-1-111−i−iii−i−iiiii−i−iii−i−i-1-111-11−iii−ii−i-1-111−i−iiiii−i−i1-1-11−ii1-1ii−i−iii−i−i−i−iii-1-111-1-111−i−iii1-1-11−ii1-11-1i−i
χ32111-1-1-11-1111-11-11-11-1-11-1-1-111-11−iii−i11-1-11-1-1-1-111−i−iii−i−iiiii−i−i−i−iii11-1-1-11−iii−ii−i-1-111−i−iiiii−i−i1-1-11i−i-11ii−i−i−i−iii−i−iii11-1-111-1-1ii−i−i1-1-11i−i-11-11−ii
χ33222222222-122-1-122-1-12-1-12-12-1222222-1-1-1-1-1-1-1-1-1-1-12222222222220000000022-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-10000-1-1-1-1000000000000-1-1-1-100000000
χ34222222222-122-1-122-1-12-1-12-12-1222222-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-20000000022-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000111100001111000000000000111100000000
χ35222222222-122-1-122-1-12-1-12-12-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222222222000000002211-2-211-1-1-1-111111111-2-2-2-20000-1-1-1-10000-1-1-1-1000000000000111100000000
χ36222222222-122-1-122-1-12-1-12-12-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2000000002211-2-211-1-1-1-11111111122220000111100001111000000000000-1-1-1-100000000
χ37222222222-122-1-122-1-12-1-12-12-1-2-222-2-2-1-1-1-1-1-1-1111122222222-2-2-2-200000000-2-2-1-1-2-2111111-1-1-1-1111122-2-2000011110000-1-1-1-1000000000000-1-11100000000
χ38222222222-122-1-122-1-12-1-12-12-1-2-222-2-2-1-1-1-1-1-1-111112222-2-2-2-2222200000000-2-2-1-1-2-2111111-1-1-1-11111-2-2220000-1-1-1-10000111100000000000011-1-100000000
χ39222222222-122-1-122-1-12-1-12-12-1-2-2-2-222-1-1-1-1-1-1-11111-2-2-2-22222-2-2-2-200000000-2-21122-1-111111111-1-1-1-1-2-222000011110000-1-1-1-100000000000011-1-100000000
χ40222222222-122-1-122-1-12-1-12-12-1-2-2-2-222-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-2222200000000-2-21122-1-111111111-1-1-1-122-2-20000-1-1-1-100001111000000000000-1-11100000000
χ4122222222-12-1-122-1-122-122-12-1-1222222-1-1-1-1-1-1-12222-1-1-1-10000000022222222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1000022220000-1-1-1-10000-1-1-1-1000000000000-1-1-1-10000
χ4222222222-12-1-122-1-122-122-12-1-1222222-1-1-1-1-1-1-12222-1-1-1-100000000-2-2-2-2-2-2-2-2-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000011110000111100000000000011110000
χ4322222222-12-1-122-1-122-122-12-1-122-2-2-2-2-1-1-1-1-1-1-122221111000000002222-2-2-2-2-1-1-2-211-2-2-1-1-1-111111111000022-2-20000-1-1-1-100001111000000000000-1-1110000
χ4422222222-12-1-122-1-122-122-12-1-122-2-2-2-2-1-1-1-1-1-1-12222111100000000-2-2-2-22222-1-1-2-211-2-2-1-1-1-1111111110000-2-222000011110000-1-1-1-100000000000011-1-10000
χ4522222222-12-1-122-1-122-122-12-1-1-2-222-2-2-1-1-1-1-1-1-1-2-2-2-2-1-1-1-10000000022222222112211-2-21111-1-1-1-111110000-2-2-2-20000-1-1-1-10000-1-1-1-100000000000011110000
χ4622222222-12-1-122-1-122-122-12-1-1-2-222-2-2-1-1-1-1-1-1-1-2-2-2-2-1-1-1-100000000-2-2-2-2-2-2-2-2112211-2-21111-1-1-1-11111000022220000111100001111000000000000-1-1-1-10000
χ4722222222-12-1-122-1-122-122-12-1-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-21111000000002222-2-2-2-211-2-2-1-12211111111-1-1-1-10000-2-2220000-1-1-1-10000111100000000000011-1-10000
χ4822222222-12-1-122-1-122-122-12-1-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2111100000000-2-2-2-2222211-2-2-1-12211111111-1-1-1-1000022-2-2000011110000-1-1-1-1000000000000-1-1110000
χ49222-2-2-22-22-12-2-112-2-11-2-11-212-12-22i−2i2i−2i-1-111-111-1-1112i2i−2i−2i2i2i−2i−2i2i2i−2i−2i000000002-2−ii2i−2i−ii-1-111−i−iii−i−iii2-22-20000−i−iii0000−i−iii000000000000-11-1100000000
χ50222-2-2-22-22-12-2-112-2-11-2-11-212-12-22i−2i2i−2i-1-111-111-1-1112i2i−2i−2i−2i−2i2i2i−2i−2i2i2i000000002-2−ii2i−2i−ii-1-111−i−iii−i−iii-22-220000ii−i−i0000ii−i−i0000000000001-11-100000000
χ51222-2-2-22-22-12-2-112-2-11-2-11-212-12-2−2i2i−2i2i-1-111-111-1-111−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i000000002-2i−i−2i2ii−i-1-111ii−i−iii−i−i-22-220000−i−iii0000−i−iii0000000000001-11-100000000
χ52222-2-2-22-22-12-2-112-2-11-2-11-212-12-2−2i2i−2i2i-1-111-111-1-111−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i000000002-2i−i−2i2ii−i-1-111ii−i−iii−i−i2-22-20000ii−i−i0000ii−i−i000000000000-11-1100000000
χ53222-2-2-22-22-12-2-112-2-11-2-11-212-1-222i−2i−2i2i-1-111-11111-1-12i2i−2i−2i2i2i−2i−2i−2i−2i2i2i00000000-22−ii−2i2ii−i11-1-1−i−iiiii−i−i2-2-220000ii−i−i0000−i−iii000000000000-111-100000000
χ54222-2-2-22-22-12-2-112-2-11-2-11-212-1-222i−2i−2i2i-1-111-11111-1-12i2i−2i−2i−2i−2i2i2i2i2i−2i−2i00000000-22−ii−2i2ii−i11-1-1−i−iiiii−i−i-222-20000−i−iii0000ii−i−i0000000000001-1-1100000000
χ55222-2-2-22-22-12-2-112-2-11-2-11-212-1-22−2i2i2i−2i-1-111-11111-1-1−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i00000000-22i−i2i−2i−ii11-1-1ii−i−i−i−iii-222-20000ii−i−i0000−i−iii0000000000001-1-1100000000
χ56222-2-2-22-22-12-2-112-2-11-2-11-212-1-22−2i2i2i−2i-1-111-11111-1-1−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i00000000-22i−i2i−2i−ii11-1-1ii−i−i−i−iii2-2-220000−i−iii0000ii−i−i000000000000-111-100000000
χ57222-2-2-22-2-12-112-2-112-212-21-2-1-12-22i−2i2i−2i-1-111-11122-2-2−i−iii000000002i2i−2i−2i22-2-2-112i−2i−ii2i−2i-1-111−i−iii−i−iii00002i−2i2-20000−i−iii0000-1-111000000000000−ii-110000
χ58222-2-2-22-2-12-112-2-112-212-21-2-1-12-22i−2i2i−2i-1-111-11122-2-2−i−iii00000000−2i−2i2i2i-2-222-112i−2i−ii2i−2i-1-111−i−iii−i−iii0000−2i2i-220000ii−i−i000011-1-1000000000000i−i1-10000
χ59222-2-2-22-2-12-112-2-112-212-21-2-1-12-2−2i2i−2i2i-1-111-11122-2-2ii−i−i000000002i2i−2i−2i-2-222-11−2i2ii−i−2i2i-1-111ii−i−iii−i−i00002i−2i-220000−i−iii000011-1-1000000000000−ii1-10000
χ60222-2-2-22-2-12-112-2-112-212-21-2-1-12-2−2i2i−2i2i-1-111-11122-2-2ii−i−i00000000−2i−2i2i2i22-2-2-11−2i2ii−i−2i2i-1-111ii−i−iii−i−i0000−2i2i2-20000ii−i−i0000-1-111000000000000i−i-110000
χ61222-2-2-22-2-12-112-2-112-212-21-2-1-1-222i−2i−2i2i-1-111-111-2-222−i−iii000000002i2i−2i−2i22-2-21-12i−2ii−i−2i2i11-1-1−i−iiiii−i−i0000−2i2i-220000−i−iii0000-1-111000000000000i−i1-10000
χ62222-2-2-22-2-12-112-2-112-212-21-2-1-1-222i−2i−2i2i-1-111-111-2-222−i−iii00000000−2i−2i2i2i-2-2221-12i−2ii−i−2i2i11-1-1−i−iiiii−i−i00002i−2i2-20000ii−i−i000011-1-1000000000000−ii-110000
χ63222-2-2-22-2-12-112-2-112-212-21-2-1-1-22−2i2i2i−2i-1-111-111-2-222ii−i−i000000002i2i−2i−2i-2-2221-1−2i2i−ii2i−2i11-1-1ii−i−i−i−iii0000−2i2i2-20000−i−iii000011-1-1000000000000i−i-110000
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Here i is the imaginary unit (i² = −1).