Finite Group Databasebeta

← Group #11807477

Character table — Group #11807477

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11111111222222222222222244444444444444444444446666666666666666888888888888888888881212121212121212121212121212121212121212121212121818181818181818242424242424242436363636
order12222222336666666666666634444446666666121212121212121244444444444444441212121212121212121212121212121212121212224444441212121212121212121212121212121244444444661212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-11111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1
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
χ5111111111111111111111111111-1-1-1-111111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111-1-1
χ6111111111111111111111111111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111
χ7111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-11111-1-1-1-111-1-1-1-111
χ8111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1111111-1-1
χ91111111111111111111111111-1-111-1-11111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111
χ101111111111111111111111111-1-111-1-11111111-1-1-1-111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-1
χ111111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1
χ121111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-111
χ131111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ141111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111
χ151111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ161111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1
χ1711-1-111-1-1111-1-1-1-1-1111-1-11-1111-11-11-11-1-1-1-11111-1-111-1-1ii−i−i11-1-111-1-1ii−i−i1-11-11-11-111-1-111-1-111-1-11-1i−i1-1i−iii−i−i11-1-1ii−i−i11-1-1ii−i−iii−i−i1-1i−ii−i1-1i−ii−i
χ1811-1-111-1-1111-1-1-1-1-1111-1-11-1111-11-11-11-1-1-1-11111-1-111-1-1ii−i−i-1-111-1-111ii−i−i1-11-11-11-111-1-111-1-111-1-1-11i−i-11i−iii−i−i-1-111ii−i−i-1-111−i−iii−i−iii-11i−ii−i-11−ii−ii
χ1911-1-111-1-1111-1-1-1-1-1111-1-11-1111-11-11-11-1-1-1-11111-1-111-1-1−i−iii11-1-111-1-1−i−iii1-11-11-11-111-1-111-1-111-1-11-1−ii1-1−ii−i−iii11-1-1−i−iii11-1-1−i−iii−i−iii1-1−ii−ii1-1−ii−ii
χ2011-1-111-1-1111-1-1-1-1-1111-1-11-1111-11-11-11-1-1-1-11111-1-111-1-1−i−iii-1-111-1-111−i−iii1-11-11-11-111-1-111-1-111-1-1-11−ii-11−ii−i−iii-1-111−i−iii-1-111ii−i−iii−i−i-11−ii−ii-11i−ii−i
χ2111-1-111-1-1111-1-1-1-1-1111-1-11-1111-1-11-111-1-1-1-11111-1-1-1-111ii−i−i11-1-111-1-1−i−iii-111-1-11-11-1-11111-1-1-1-111-11i−i-11−iiii−i−i11-1-1−i−iii11-1-1ii−i−i−i−iii-11i−i−ii-11i−i−ii
χ2211-1-111-1-1111-1-1-1-1-1111-1-11-1111-1-11-111-1-1-1-11111-1-1-1-111ii−i−i-1-111-1-111−i−iii-111-1-11-11-1-11111-1-1-1-1111-1i−i1-1−iiii−i−i-1-111−i−iii-1-111−i−iiiii−i−i1-1i−i−ii1-1−iii−i
χ2311-1-111-1-1111-1-1-1-1-1111-1-11-1111-1-11-111-1-1-1-11111-1-1-1-111−i−iii11-1-111-1-1ii−i−i-111-1-11-11-1-11111-1-1-1-111-11−ii-11i−i−i−iii11-1-1ii−i−i11-1-1−i−iiiii−i−i-11−iii−i-11−iii−i
χ2411-1-111-1-1111-1-1-1-1-1111-1-11-1111-1-11-111-1-1-1-11111-1-1-1-111−i−iii-1-111-1-111ii−i−i-111-1-11-11-1-11111-1-1-1-1111-1−ii1-1i−i−i−iii-1-111ii−i−i-1-111ii−i−i−i−iii1-1−iii−i1-1i−i−ii
χ2511-1-111-1-1111-1-1-1-1-1111-1-11-111-111-1-111-1-1-1-111-1-11111-1-1ii−i−i11-1-1-1-111ii−i−i-11-111-1-11-1-111-1-11111-1-11-1−ii-11−iiii−i−i11-1-1ii−i−i-1-111ii−i−i−i−iii1-1−ii−ii-11−iii−i
χ2611-1-111-1-1111-1-1-1-1-1111-1-11-111-111-1-111-1-1-1-111-1-11111-1-1ii−i−i-1-11111-1-1ii−i−i-11-111-1-11-1-111-1-11111-1-1-11−ii1-1−iiii−i−i-1-111ii−i−i11-1-1−i−iiiii−i−i-11−ii−ii1-1i−i−ii
χ2711-1-111-1-1111-1-1-1-1-1111-1-11-111-111-1-111-1-1-1-111-1-11111-1-1−i−iii11-1-1-1-111−i−iii-11-111-1-11-1-111-1-11111-1-11-1i−i-11i−i−i−iii11-1-1−i−iii-1-111−i−iiiii−i−i1-1i−ii−i-11i−i−ii
χ2811-1-111-1-1111-1-1-1-1-1111-1-11-111-111-1-111-1-1-1-111-1-11111-1-1−i−iii-1-11111-1-1−i−iii-11-111-1-11-1-111-1-11111-1-1-11i−i1-1i−i−i−iii-1-111−i−iii11-1-1ii−i−i−i−iii-11i−ii−i1-1−iii−i
χ2911-1-111-1-1111-1-1-1-1-1111-1-11-111-11-111-11-1-1-1-111-1-111-1-111ii−i−i11-1-1-1-111−i−iii1-1-11-111-111-1-1-1-111-1-111-11−ii1-1i−iii−i−i11-1-1−i−iii-1-111ii−i−iii−i−i-11−iii−i1-1−ii−ii
χ3011-1-111-1-1111-1-1-1-1-1111-1-11-111-11-111-11-1-1-1-111-1-111-1-111ii−i−i-1-11111-1-1−i−iii1-1-11-111-111-1-1-1-111-1-1111-1−ii-11i−iii−i−i-1-111−i−iii11-1-1−i−iii−i−iii1-1−iii−i-11i−ii−i
χ3111-1-111-1-1111-1-1-1-1-1111-1-11-111-11-111-11-1-1-1-111-1-111-1-111−i−iii11-1-1-1-111ii−i−i1-1-11-111-111-1-1-1-111-1-111-11i−i1-1−ii−i−iii11-1-1ii−i−i-1-111−i−iii−i−iii-11i−i−ii1-1i−ii−i
χ3211-1-111-1-1111-1-1-1-1-1111-1-11-111-11-111-11-1-1-1-111-1-111-1-111−i−iii-1-11111-1-1ii−i−i1-1-11-111-111-1-1-1-111-1-1111-1i−i-11−ii−i−iii-1-111ii−i−i11-1-1ii−i−iii−i−i1-1i−i−ii-11−ii−ii
χ33222222222-122-1-1-1-122-122-12-1-1222222-1-1-1-1-1-1-1-1-1-1-1222200002222222200002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1220022000000-1-1-1-10000-1-1-1-100000000-1-10000-1-10000
χ34222222222-122-1-1-1-122-122-12-1-1222222-1-1-1-1-1-1-1-1-1-1-122220000-2-2-2-2-2-2-2-200002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-200000011110000111100000000110000110000
χ35222222222-122-1-1-1-122-122-12-1-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000222222220000-2-22211111111-1-1-1-11111-2-200-2-2000000-1-1-1-10000-1-1-1-100000000110000110000
χ36222222222-122-1-1-1-122-122-12-1-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2-2-2-2-2-2-20000-2-22211111111-1-1-1-1111122002200000011110000111100000000-1-10000-1-10000
χ37222222222-122-1-1-1-122-122-12-1-1-2-222-2-2-1-1-1-1-1-1-11111222200002222-2-2-2-20000-2-2-2-2-1-11111111111-1-1-1-12200-2-2000000-1-1-1-10000111100000000-1-10000110000
χ38222222222-122-1-1-1-122-122-12-1-1-2-222-2-2-1-1-1-1-1-1-1111122220000-2-2-2-222220000-2-2-2-2-1-11111111111-1-1-1-1-2-2002200000011110000-1-1-1-100000000110000-1-10000
χ39222222222-122-1-1-1-122-122-12-1-1-2-2-2-222-1-1-1-1-1-1-11111-2-2-2-200002222-2-2-2-2000022-2-211-1-1-1-1-1-111111111-2-20022000000-1-1-1-10000111100000000110000-1-10000
χ40222222222-122-1-1-1-122-122-12-1-1-2-2-2-222-1-1-1-1-1-1-11111-2-2-2-20000-2-2-2-22222000022-2-211-1-1-1-1-1-1111111112200-2-200000011110000-1-1-1-100000000-1-10000110000
χ4122222222-12-1-12222-1-12-1-12-12-1222222-1-1-1-1-1-1-12222-1-1-1-12222000000002222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100220022-1-1-1-10000-1-1-1-100000000000000-1-1-1-1000000
χ4222222222-12-1-12222-1-12-1-12-12-1222222-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-200000000-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-2111100001111000000000000001111000000
χ4322222222-12-1-12222-1-12-1-12-12-122-2-2-2-2-1-1-1-1-1-1-122221111222200000000-2-2-2-211-1-1-2-2-2-21111-1-1-1-11111002200-2-2-1-1-1-10000111100000000000000-1-111000000
χ4422222222-12-1-12222-1-12-1-12-12-122-2-2-2-2-1-1-1-1-1-1-122221111-2-2-2-200000000222211-1-1-2-2-2-21111-1-1-1-1111100-2-2002211110000-1-1-1-10000000000000011-1-1000000
χ4522222222-12-1-12222-1-12-1-12-12-1-2-222-2-2-1-1-1-1-1-1-1-2-2-2-2-1-1-1-12222000000002222111122-2-211111111-1-1-1-100-2-200-2-2-1-1-1-10000-1-1-1-1000000000000001111000000
χ4622222222-12-1-12222-1-12-1-12-12-1-2-222-2-2-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-2-2-2-200000000-2-2-2-2111122-2-211111111-1-1-1-10022002211110000111100000000000000-1-1-1-1000000
χ4722222222-12-1-12222-1-12-1-12-12-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-21111222200000000-2-2-2-2-1-111-2-222-1-1-1-11111111100-2-20022-1-1-1-1000011110000000000000011-1-1000000
χ4822222222-12-1-12222-1-12-1-12-12-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-2000000002222-1-111-2-222-1-1-1-111111111002200-2-211110000-1-1-1-100000000000000-1-111000000
χ49222-2-2-22-222-2-222-2-2-2222-2-22-22000000-222-2-2-2200000000000000002i−2i2i−2i2-22-20000000000000000000000000000000000002-22-22i−2i2i−2i00002i−2i2i−2i000000000000
χ50222-2-2-22-222-2-222-2-2-2222-2-22-22000000-222-2-2-2200000000000000002i−2i2i−2i-22-22000000000000000000000000000000000000-22-222i−2i2i−2i0000−2i2i−2i2i000000000000
χ51222-2-2-22-222-2-222-2-2-2222-2-22-22000000-222-2-2-220000000000000000−2i2i−2i2i2-22-20000000000000000000000000000000000002-22-2−2i2i−2i2i0000−2i2i−2i2i000000000000
χ52222-2-2-22-222-2-222-2-2-2222-2-22-22000000-222-2-2-220000000000000000−2i2i−2i2i-22-22000000000000000000000000000000000000-22-22−2i2i−2i2i00002i−2i2i−2i000000000000
χ5322-22-2-2-2222-22-2-222-222-22-2-2-22000000-2-2-222-2200000000000000002i−2i−2i2i2i−2i−2i2i0000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i0000-222-2000000000000
χ5422-22-2-2-2222-22-2-222-222-22-2-2-22000000-2-2-222-2200000000000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i00002-2-22000000000000
χ5522-22-2-2-2222-22-2-222-222-22-2-2-22000000-2-2-222-220000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i00002-2-22000000000000
χ5622-22-2-2-2222-22-2-222-222-22-2-2-22000000-2-2-222-220000000000000000−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i0000-222-2000000000000
χ5722-2-222-2-22-12-2111122-1-2-2-1-2-1-12-22-22-2-11111-1-1-1-11122-2-2000022-2-222-2-200002-22-2-11-11-1-111-1-111-1-1112-2002-2000000-1-1110000-1-11100000000-110000-110000
χ5822-2-222-2-22-12-2111122-1-2-2-1-2-1-12-22-22-2-11111-1-1-1-11122-2-20000-2-222-2-22200002-22-2-11-11-1-111-1-111-1-111-2200-2200000011-1-1000011-1-1000000001-100001-10000
χ5922-2-222-2-22-12-2111122-1-2-2-1-2-1-12-2-22-22-11111-1-1-1-111-2-222000022-2-222-2-20000-222-21-11-111-1-1-1-11111-1-1-2200-22000000-1-1110000-1-111000000001-100001-10000
χ6022-2-222-2-22-12-2111122-1-2-2-1-2-1-12-2-22-22-11111-1-1-1-111-2-2220000-2-222-2-2220000-222-21-11-111-1-1-1-11111-1-12-2002-200000011-1-1000011-1-100000000-110000-110000
χ6122-2-222-2-22-12-2111122-1-2-2-1-2-1-1-222-2-22-11111-1-111-1-122-2-2000022-2-2-2-2220000-22-22-111-111-1-111-1-1-1-1112-200-22000000-1-111000011-1-100000000-1100001-10000
χ6222-2-222-2-22-12-2111122-1-2-2-1-2-1-1-222-2-22-11111-1-111-1-122-2-20000-2-22222-2-20000-22-22-111-111-1-111-1-1-1-111-22002-200000011-1-10000-1-111000000001-10000-110000
χ6322-2-222-2-22-12-2111122-1-2-2-1-2-1-1-22-222-2-11111-1-111-1-1-2-222000022-2-2-2-22200002-2-221-1-11-1-11111-1-111-1-1-22002-2000000-1-111000011-1-1000000001-10000-110000
χ6422-2-222-2-22-12-2111122-1-2-2-1-2-1-1-22-222-2-11111-1-111-1-1-2-2220000-2-22222-2-200002-2-221-1-11-1-11111-1-111-1-12-200-2200000011-1-10000-1-11100000000-1100001-10000
χ6522-2-222-2-2-12-11-2-2-2-2-1-1211212-12-22-22-2-11111-1-122-2-2-1-1112i2i−2i−2i000000002i2i−2i−2i-11-112-22-2-1-111-1-111-1-111002i−2i002i−2i−i−iii0000−i−iii00000000000000−ii−ii000000
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Here i is the imaginary unit (i² = −1).