Finite Group Databasebeta

← Group #11807570

Character table — Group #11807570

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11111111222222222222222244444444444444444444446666666666666666888888888888888888881212121212121212121212121212121212121212121212121818181818181818242424242424242436363636
order1222222233666666666666662234444666666666661212121244444444444444446666661212121212121212121212121212224444441212121212121212121212121212121244444444661212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-11111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1
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
χ5111111111111111111111111111-1-1-1-111111111111-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-111-1-1-1-1-1-111
χ6111111111111111111111111111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1
χ7111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-111-1-1
χ8111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-111
χ9111111111111111111111111-1-1111-1-1-1-1-1-11111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-1
χ10111111111111111111111111-1-1111-1-1-1-1-1-1111111111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111
χ11111111111111111111111111-1-1111-1-1-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ12111111111111111111111111-1-1111-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1
χ13111111111111111111111111-1-11-1-111-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ14111111111111111111111111-1-11-1-111-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111
χ15111111111111111111111111-1-11-1-111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ16111111111111111111111111-1-11-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ17111-11-1-1-1111-1-1-1-1-11111-1-1-111-111-11-111-1-11-1-1-1-11111-1-1ii−i−i11-1-111-1-1ii−i−i1-111-1-11-111-1-111-1-111-1-11-1i−i1-1i−iii−i−iii−i−i11-1-111-1-1ii−i−iii−i−i1-1i−ii−i1-1i−ii−i
χ18111-11-1-1-1111-1-1-1-1-11111-1-1-111-111-11-111-1-11-1-1-1-11111-1-1ii−i−i-1-111-1-111ii−i−i1-111-1-11-111-1-111-1-111-1-1-11i−i-11i−iii−i−iii−i−i-1-111-1-111−i−iii−i−iii-11i−ii−i-11−ii−ii
χ19111-11-1-1-1111-1-1-1-1-11111-1-1-111-111-11-111-1-11-1-1-1-11111-1-1−i−iii11-1-111-1-1−i−iii1-111-1-11-111-1-111-1-111-1-11-1−ii1-1−ii−i−iii−i−iii11-1-111-1-1−i−iii−i−iii1-1−ii−ii1-1−ii−ii
χ20111-11-1-1-1111-1-1-1-1-11111-1-1-111-111-11-111-1-11-1-1-1-11111-1-1−i−iii-1-111-1-111−i−iii1-111-1-11-111-1-111-1-111-1-1-11−ii-11−ii−i−iii−i−iii-1-111-1-111ii−i−iii−i−i-11−ii−ii-11i−ii−i
χ21111-11-1-1-1111-1-1-1-1-11111-1-1-111-11-11-1111-1-11-1-1-1-111-1-111ii−i−i11-1-111-1-1−i−iii1-111-1-1-11-1-111-1-111-1-111-11−ii-11i−i−i−iiiii−i−i11-1-111-1-1ii−i−i−i−iii-11i−i−ii-11−iii−i
χ22111-11-1-1-1111-1-1-1-1-11111-1-1-111-11-11-1111-1-11-1-1-1-111-1-111ii−i−i-1-111-1-111−i−iii1-111-1-1-11-1-111-1-111-1-1111-1−ii1-1i−i−i−iiiii−i−i-1-111-1-111−i−iiiii−i−i1-1i−i−ii1-1i−i−ii
χ23111-11-1-1-1111-1-1-1-1-11111-1-1-111-11-11-1111-1-11-1-1-1-111-1-111−i−iii11-1-111-1-1ii−i−i1-111-1-1-11-1-111-1-111-1-111-11i−i-11−iiii−i−i−i−iii11-1-111-1-1−i−iiiii−i−i-11−iii−i-11i−i−ii
χ24111-11-1-1-1111-1-1-1-1-11111-1-1-111-11-11-1111-1-11-1-1-1-111-1-111−i−iii-1-111-1-111ii−i−i1-111-1-1-11-1-111-1-111-1-1111-1i−i1-1−iiii−i−i−i−iii-1-111-1-111ii−i−i−i−iii1-1−iii−i1-1−iii−i
χ25111-11-1-1-1111-1-1-1-1-11111-1-1-11-1111-1-11-1-1111-1-1-1-11111-1-1ii−i−i11-1-1-1-111ii−i−i-11-1-1111-1-1-11111-1-1-1-1111-1−ii-11−iiii−i−iii−i−i11-1-1-1-111ii−i−i−i−iii1-1−ii−ii-11i−i−ii
χ26111-11-1-1-1111-1-1-1-1-11111-1-1-11-1111-1-11-1-1111-1-1-1-11111-1-1ii−i−i-1-11111-1-1ii−i−i-11-1-1111-1-1-11111-1-1-1-111-11−ii1-1−iiii−i−iii−i−i-1-11111-1-1−i−iiiii−i−i-11−ii−ii1-1−iii−i
χ27111-11-1-1-1111-1-1-1-1-11111-1-1-11-1111-1-11-1-1111-1-1-1-11111-1-1−i−iii11-1-1-1-111−i−iii-11-1-1111-1-1-11111-1-1-1-1111-1i−i-11i−i−i−iii−i−iii11-1-1-1-111−i−iiiii−i−i1-1i−ii−i-11−iii−i
χ28111-11-1-1-1111-1-1-1-1-11111-1-1-11-1111-1-11-1-1111-1-1-1-11111-1-1−i−iii-1-11111-1-1−i−iii-11-1-1111-1-1-11111-1-1-1-111-11i−i1-1i−i−i−iii−i−iii-1-11111-1-1ii−i−i−i−iii-11i−ii−i1-1i−i−ii
χ29111-11-1-1-1111-1-1-1-1-11111-1-1-11-111-111-1-1-1111-1-1-1-111-1-111ii−i−i11-1-1-1-111−i−iii-11-1-111-1111-1-1-1-11111-1-1-11i−i1-1−ii−i−iiiii−i−i11-1-1-1-111ii−i−iii−i−i-11−iii−i1-1−ii−ii
χ30111-11-1-1-1111-1-1-1-1-11111-1-1-11-111-111-1-1-1111-1-1-1-111-1-111ii−i−i-1-11111-1-1−i−iii-11-1-111-1111-1-1-1-11111-1-11-1i−i-11−ii−i−iiiii−i−i-1-11111-1-1−i−iii−i−iii1-1−iii−i-11i−ii−i
χ31111-11-1-1-1111-1-1-1-1-11111-1-1-11-111-111-1-1-1111-1-1-1-111-1-111−i−iii11-1-1-1-111ii−i−i-11-1-111-1111-1-1-1-11111-1-1-11−ii1-1i−iii−i−i−i−iii11-1-1-1-111−i−iii−i−iii-11i−i−ii1-1i−ii−i
χ32111-11-1-1-1111-1-1-1-1-11111-1-1-11-111-111-1-1-1111-1-1-1-111-1-111−i−iii-1-11111-1-1ii−i−i-11-1-111-1111-1-1-1-11111-1-11-1−ii-11i−iii−i−i−i−iii-1-11111-1-1ii−i−iii−i−i1-1i−i−ii-11−ii−ii
χ33222222222-122-1-1-1-122-1-1222-122-12222-1-1-1-1-1-1-1-1-1-1-12222000022222222000022-1-1-1-1-1-12-12-1-1-1-1-1-1-1-1-12200220000000000-1-1-1-1-1-1-1-100000000-1-10000-1-10000
χ34222222222-122-1-1-1-122-1-1222-122-12222-1-1-1-1-1-1-1-1-1-1-122220000-2-2-2-2-2-2-2-2000022-1-1-1-1-1-12-12-1-1-1-1-1-1-1-1-1-2-200-2-200000000001111111100000000110000110000
χ35222222222-122-1-1-1-122-1-1222-122-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000022222222000022-1-1-1-111-21-2111111111-2-200-2-20000000000-1-1-1-1-1-1-1-100000000110000110000
χ36222222222-122-1-1-1-122-1-1222-122-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2-2-2-2-2-2-2000022-1-1-1-111-21-211111111122002200000000001111111100000000-1-10000-1-10000
χ37222222222-122-1-1-1-122-1-1222-1-2-2-122-2-21111-1-1-1-1-1-1-1222200002222-2-2-2-20000-2-21111-1-1-21-21-1-1-1-111112200-2-20000000000-1-1-1-1111100000000-1-10000110000
χ38222222222-122-1-1-1-122-1-1222-1-2-2-122-2-21111-1-1-1-1-1-1-122220000-2-2-2-222220000-2-21111-1-1-21-21-1-1-1-11111-2-2002200000000001111-1-1-1-100000000110000-1-10000
χ39222222222-122-1-1-1-122-1-1222-1-2-2-1-2-2221111-1-1-1-1-1-1-1-2-2-2-200002222-2-2-2-20000-2-21111112-12-11111-1-1-1-1-2-200220000000000-1-1-1-1111100000000110000-1-10000
χ40222222222-122-1-1-1-122-1-1222-1-2-2-1-2-2221111-1-1-1-1-1-1-1-2-2-2-20000-2-2-2-222220000-2-21111112-12-11111-1-1-1-12200-2-200000000001111-1-1-1-100000000-1-10000110000
χ4122222222-12-1-12222-1-122-1-1-1222-122222222-1-1-1-1-1-1-1-1-1-1-12222000000002222-1-1-1-1-1-122-12-12-1-1-1-1-1-1-1-100220022-1-1-1-1-1-1-1-1000000000000000000-1-1-1-1000000
χ4222222222-12-1-12222-1-122-1-1-1222-122222222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200000000-2-2-2-2-1-1-1-1-1-122-12-12-1-1-1-1-1-1-1-100-2-200-2-2111111110000000000000000001111000000
χ4322222222-12-1-12222-1-122-1-1-1222-1-2-2-2-22222-1-1-1-1-1-1-11111222200000000-2-2-2-2-1-1-1-1-1-1-2-21-21-21111111100-2-200221111-1-1-1-1000000000000000000-1-111000000
χ4422222222-12-1-12222-1-122-1-1-1222-1-2-2-2-22222-1-1-1-1-1-1-11111-2-2-2-2000000002222-1-1-1-1-1-1-2-21-21-211111111002200-2-2-1-1-1-1111100000000000000000011-1-1000000
χ4522222222-12-1-12222-1-122-1-1-12-2-2-122-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-12222000000002222111111221-21-2-1-1-1-1111100-2-200-2-2-1-1-1-1-1-1-1-10000000000000000001111000000
χ4622222222-12-1-12222-1-122-1-1-12-2-2-122-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200000000-2-2-2-2111111221-21-2-1-1-1-111110022002211111111000000000000000000-1-1-1-1000000
χ4722222222-12-1-12222-1-122-1-1-12-2-2-1-2-222-2-2-2-2-1-1-1-1-1-1-11111222200000000-2-2-2-2111111-2-2-12-121111-1-1-1-1002200-2-21111-1-1-1-100000000000000000011-1-1000000
χ4822222222-12-1-12222-1-122-1-1-12-2-2-1-2-222-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-2000000002222111111-2-2-12-121111-1-1-1-100-2-20022-1-1-1-11111000000000000000000-1-111000000
χ49222-22-2-2-22-12-2111122-1-1-2-2-2-12-2-12-22-2-1-111-11111-1-122-2-2000022-2-222-2-200002-2-1-111-112-1-21-1-111-1-1112-2002-20000000000-1-111-1-11100000000-110000-110000
χ50222-22-2-2-22-12-2111122-1-1-2-2-2-12-2-12-22-2-1-111-11111-1-122-2-20000-2-222-2-22200002-2-1-111-112-1-21-1-111-1-111-2200-22000000000011-1-111-1-1000000001-100001-10000
χ51222-22-2-2-22-12-2111122-1-1-2-2-2-12-2-1-22-22-1-111-11111-1-1-2-222000022-2-222-2-200002-2-1-1111-1-212-111-1-111-1-1-2200-220000000000-1-111-1-111000000001-100001-10000
χ52222-22-2-2-22-12-2111122-1-1-2-2-2-12-2-1-22-22-1-111-11111-1-1-2-2220000-2-222-2-22200002-2-1-1111-1-212-111-1-111-1-12-2002-2000000000011-1-111-1-100000000-110000-110000
χ53222-22-2-2-22-12-2111122-1-1-2-2-2-1-22-12-2-2211-1-1-11111-1-122-2-2000022-2-2-2-2220000-2211-1-1-11-212-1-1-11111-1-12-200-220000000000-1-11111-1-100000000-1100001-10000
χ54222-22-2-2-22-12-2111122-1-1-2-2-2-1-22-12-2-2211-1-1-11111-1-122-2-20000-2-22222-2-20000-2211-1-1-11-212-1-1-11111-1-1-22002-2000000000011-1-1-1-111000000001-10000-110000
χ55222-22-2-2-22-12-2111122-1-1-2-2-2-1-22-1-222-211-1-1-11111-1-1-2-222000022-2-2-2-2220000-2211-1-11-12-1-2111-1-1-1-111-22002-20000000000-1-11111-1-1000000001-10000-110000
χ56222-22-2-2-22-12-2111122-1-1-2-2-2-1-22-1-222-211-1-1-11111-1-1-2-2220000-2-22222-2-20000-2211-1-11-12-1-2111-1-1-1-1112-200-22000000000011-1-1-1-11100000000-1100001-10000
χ57222-22-2-2-2-12-11-2-2-2-2-1-12211122-2-12-22-222-2-2-11111-1-1-1-1112i2i−2i−2i000000002i2i−2i−2i-11-1-1112-2-121-2-1-111-1-111002i−2i002i−2i−i−iii−i−iii000000000000000000−ii−ii000000
χ58222-22-2-2-2-12-11-2-2-2-2-1-12211122-2-12-22-222-2-2-11111-1-1-1-111−2i−2i2i2i00000000−2i−2i2i2i-11-1-1112-2-121-2-1-111-1-11100−2i2i00−2i2iii−i−iii−i−i000000000000000000i−ii−i000000
χ59222-22-2-2-2-12-11-2-2-2-2-1-12211122-2-1-22-2222-2-2-11111-1-111-1-12i2i−2i−2i00000000−2i−2i2i2i-11-1-111-221-2-1211-1-111-1-100−2i2i002i−2iii−i−i−i−iii000000000000000000−iii−i000000
χ60222-22-2-2-2-12-11-2-2-2-2-1-12211122-2-1-22-2222-2-2-11111-1-111-1-1−2i−2i2i2i000000002i2i−2i−2i-11-1-111-221-2-1211-1-111-1-1002i−2i00−2i2i−i−iiiii−i−i000000000000000000i−i−ii000000
χ61222-22-2-2-2-12-11-2-2-2-2-1-1221112-22-12-2-22-2-222-11111-1-1-1-1112i2i−2i−2i000000002i2i−2i−2i1-111-1-12-21-2-12-1-11111-1-100−2i2i00−2i2i−i−iii−i−iii000000000000000000i−ii−i000000
χ62222-22-2-2-2-12-11-2-2-2-2-1-1221112-22-12-2-22-2-222-11111-1-1-1-111−2i−2i2i2i00000000−2i−2i2i2i1-111-1-12-21-2-12-1-11111-1-1002i−2i002i−2iii−i−iii−i−i000000000000000000−ii−ii000000
χ63222-22-2-2-2-12-11-2-2-2-2-1-1221112-22-1-222-2-2-222-11111-1-111-1-12i2i−2i−2i00000000−2i−2i2i2i1-111-1-1-22-121-211-1-1-1-111002i−2i00−2i2iii−i−i−i−iii000000000000000000i−i−ii000000
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χ6522-22-22-2-222-2-222-2-22-22-22-22-200200000000-222-2-22-20000000000002i−2i2i−2i2-22-200000000000000000000000000002-22-2000000002i−2i2i−2i00002i−2i2i−2i000000000000
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Here i is the imaginary unit (i² = −1).