Finite Group Databasebeta

← Group #11805196

Character table — Group #11805196

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11111111222222222222222222224444444444444444444466666666888888888888888888881212121212121212121212121212121212121212121212121212121218181818181818181818181824242424242424243636
order1222222233444466666666666666344446666666121212121212121244444444121212121212121212121212121212121212121244444444444412121212121212121212121212121212222244444444121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ511111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111
χ611111111111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1
χ711111111111111111111111111111-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1
χ811111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111
χ91111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-111-1-1
χ101111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111
χ111111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111
χ121111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1
χ131111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1
χ141111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111
χ151111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-11111
χ161111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1
χ1711-1-1-111-111ii−i−i11-1-1-1-111-1-1-111-11i−i1-111-1-1-11-1ii−i−iii−i−i11-1-111-1-1i−i11-1-1i−i11-1-1ii−i−iii−i−ii−ii−ii−i1-11-1i−i11-1-1ii−i−iii−i−i11-1-111-1-111-1-1ii−i−ii−i1-11-1i−ii−i
χ1811-1-1-111-111ii−i−i11-1-1-1-111-1-1-111-11i−i1-111-1-1-11-1ii−i−iii−i−i11-1-1-1-111i−i11-1-1i−i11-1-1ii−i−iii−i−ii−i−iii−i-111-1−ii11-1-1ii−i−i−i−iii-1-111-1-111-1-111−i−iii−ii-111-1i−i−ii
χ1911-1-1-111-111ii−i−i11-1-1-1-111-1-1-111-11i−i1-111-1-1-11-1ii−i−iii−i−i-1-11111-1-1i−i11-1-1i−i11-1-1ii−i−iii−i−i−iii−i−ii1-1-11i−i-1-111−i−iiiii−i−i11-1-1-1-111-1-111−i−iiii−i1-1-11−ii−ii
χ2011-1-1-111-111ii−i−i11-1-1-1-111-1-1-111-11i−i1-111-1-1-11-1ii−i−iii−i−i-1-111-1-111i−i11-1-1i−i11-1-1ii−i−iii−i−i−ii−ii−ii-11-11−ii-1-111−i−iii−i−iii-1-11111-1-111-1-1ii−i−i−ii-11-11−iii−i
χ2111-1-1-111-111ii−i−i11-1-1-1-111-1-1-111-11−ii-1111-1-1-11-1ii−i−iii−i−i11-1-111-1-1−ii-1-111−ii-1-111ii−i−i−i−iiii−i−ii−ii-11-11i−i11-1-1ii−i−iii−i−i11-1-1-1-11111-1-1−i−iii−ii-11-11−iii−i
χ2211-1-1-111-111ii−i−i11-1-1-1-111-1-1-111-11−ii-1111-1-1-11-1ii−i−iii−i−i11-1-1-1-111−ii-1-111−ii-1-111ii−i−i−i−iiii−ii−i−ii1-1-11−ii11-1-1ii−i−i−i−iii-1-11111-1-1-1-111ii−i−ii−i1-1-11−ii−ii
χ2311-1-1-111-111ii−i−i11-1-1-1-111-1-1-111-11−ii-1111-1-1-11-1ii−i−iii−i−i-1-11111-1-1−ii-1-111−ii-1-111ii−i−i−i−iii−ii−iii−i-111-1i−i-1-111−i−iiiii−i−i11-1-111-1-1-1-111ii−i−i−ii-111-1i−i−ii
χ2411-1-1-111-111ii−i−i11-1-1-1-111-1-1-111-11−ii-1111-1-1-11-1ii−i−iii−i−i-1-111-1-111−ii-1-111−ii-1-111ii−i−i−i−iii−iii−ii−i1-11-1−ii-1-111−i−iii−i−iii-1-111-1-11111-1-1−i−iiii−i1-11-1i−ii−i
χ2511-1-1-111-111−i−iii11-1-1-1-111-1-1-111-11i−i-1111-1-1-11-1−i−iii−i−iii11-1-111-1-1i−i-1-111i−i-1-111−i−iiiii−i−i−iii−ii−i-11-11−ii11-1-1−i−iii−i−iii11-1-1-1-11111-1-1ii−i−ii−i-11-11i−i−ii
χ2611-1-1-111-111−i−iii11-1-1-1-111-1-1-111-11i−i-1111-1-1-11-1−i−iii−i−iii11-1-1-1-111i−i-1-111i−i-1-111−i−iiiii−i−i−ii−iii−i1-1-11i−i11-1-1−i−iiiii−i−i-1-11111-1-1-1-111−i−iii−ii1-1-11i−ii−i
χ2711-1-1-111-111−i−iii11-1-1-1-111-1-1-111-11i−i-1111-1-1-11-1−i−iii−i−iii-1-11111-1-1i−i-1-111i−i-1-111−i−iiiii−i−ii−ii−i−ii-111-1−ii-1-111ii−i−i−i−iii11-1-111-1-1-1-111−i−iiii−i-111-1−iii−i
χ2811-1-1-111-111−i−iii11-1-1-1-111-1-1-111-11i−i-1111-1-1-11-1−i−iii−i−iii-1-111-1-111i−i-1-111i−i-1-111−i−iiiii−i−ii−i−ii−ii1-11-1i−i-1-111ii−i−iii−i−i-1-111-1-11111-1-1ii−i−i−ii1-11-1−ii−ii
χ2911-1-1-111-111−i−iii11-1-1-1-111-1-1-111-11−ii1-111-1-1-11-1−i−iii−i−iii11-1-111-1-1−ii11-1-1−ii11-1-1−i−iii−i−iii−ii−ii−ii1-11-1−ii11-1-1−i−iii−i−iii11-1-111-1-111-1-1−i−iii−ii1-11-1−ii−ii
χ3011-1-1-111-111−i−iii11-1-1-1-111-1-1-111-11−ii1-111-1-1-11-1−i−iii−i−iii11-1-1-1-111−ii11-1-1−ii11-1-1−i−iii−i−iii−iii−i−ii-111-1i−i11-1-1−i−iiiii−i−i-1-111-1-111-1-111ii−i−ii−i-111-1−iii−i
χ3111-1-1-111-111−i−iii11-1-1-1-111-1-1-111-11−ii1-111-1-1-11-1−i−iii−i−iii-1-11111-1-1−ii11-1-1−ii11-1-1−i−iii−i−iiii−i−iii−i1-1-11−ii-1-111ii−i−i−i−iii11-1-1-1-111-1-111ii−i−i−ii1-1-11i−ii−i
χ3211-1-1-111-111−i−iii11-1-1-1-111-1-1-111-11−ii1-111-1-1-11-1−i−iii−i−iii-1-111-1-111−ii11-1-1−ii11-1-1−i−iii−i−iiii−ii−ii−i-11-11i−i-1-111ii−i−iii−i−i-1-11111-1-111-1-1−i−iiii−i-11-11i−i−ii
χ33222222222-122222-122-1-12-12-1-12-12-12222-1-1-1-1-1-1-1-1-1-1-1222200002222-1-12-12-122-1-1-1-1-1-1-1-1-1-1-1-100220022002200000000-1-1-1-1-1-1-1-1000000000000-1-1-1-1000000
χ34222222222-122222-122-1-12-12-1-12-12-12222-1-1-1-1-1-1-1-1-1-1-122220000-2-2-2-2-1-12-12-122-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-200-2-200000000111111110000000000001111000000
χ35222222222-122222-122-1-12-12-1-12-12-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-122220000222211-21-21-2-21111-1-1-1-1111100-2-200-2-2002200000000-1-1-1-1-1-1-1-10000000000001111000000
χ36222222222-122222-122-1-12-12-1-12-12-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-122220000-2-2-2-211-21-21-2-21111-1-1-1-111110022002200-2-20000000011111111000000000000-1-1-1-1000000
χ37222222222-1-2-2-2-22-122-1-12-12-1-12-12-122-2-2-1-1-1-1-1-1-11111-2-2-2-200002222-1-1-21-212211111111-1-1-1-1002200-2-200-2-2000000001111-1-1-1-1000000000000-1-111000000
χ38222222222-1-2-2-2-22-122-1-12-12-1-12-12-122-2-2-1-1-1-1-1-1-11111-2-2-2-20000-2-2-2-2-1-1-21-212211111111-1-1-1-100-2-20022002200000000-1-1-1-1111100000000000011-1-1000000
χ39222222222-1-2-2-2-22-122-1-12-12-1-12-12-1-2-222-1-1-1-1-1-1-11111-2-2-2-200002222112-12-1-2-2-1-1-1-11111111100-2-2002200-2-2000000001111-1-1-1-100000000000011-1-1000000
χ40222222222-1-2-2-2-22-122-1-12-12-1-12-12-1-2-222-1-1-1-1-1-1-11111-2-2-2-20000-2-2-2-2112-12-1-2-2-1-1-1-111111111002200-2-2002200000000-1-1-1-11111000000000000-1-111000000
χ4122222222-122222-12-1-122-12-122-12-1-12222-1-1-1-1-1-1-12222-1-1-1-12222000022-12-12-1-1-1-1-1-1-1-1-1-1-1-1-1-1220022002200-1-1-1-1-1-1-1-1000000000000000000000000-1-1-1-100
χ4222222222-122222-12-1-122-12-122-12-1-12222-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-2000022-12-12-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-200-2-20011111111000000000000000000000000111100
χ4322222222-122222-12-1-122-12-122-12-1-1-2-2-2-2-1-1-1-1-1-1-12222-1-1-1-122220000-2-21-21-2111111-1-1-1-111112200-2-200-2-200-1-1-1-1-1-1-1-1000000000000000000000000111100
χ4422222222-122222-12-1-122-12-122-12-1-1-2-2-2-2-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-20000-2-21-21-2111111-1-1-1-11111-2-2002200220011111111000000000000000000000000-1-1-1-100
χ4522222222-12-2-2-2-2-12-1-122-12-122-12-1-122-2-2-1-1-1-1-1-1-1-2-2-2-2111122220000221-21-2-1-111111111-1-1-1-1-2-2002200-2-200-1-1-1-1111100000000000000000000000011-1-100
χ4622222222-12-2-2-2-2-12-1-122-12-122-12-1-122-2-2-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-20000221-21-2-1-111111111-1-1-1-12200-2-20022001111-1-1-1-1000000000000000000000000-1-11100
χ4722222222-12-2-2-2-2-12-1-122-12-122-12-1-1-2-222-1-1-1-1-1-1-1-2-2-2-2111122220000-2-2-12-1211-1-1-1-111111111-2-200-2-2002200-1-1-1-11111000000000000000000000000-1-11100
χ4822222222-12-2-2-2-2-12-1-122-12-122-12-1-1-2-222-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-20000-2-2-12-1211-1-1-1-11111111122002200-2-2001111-1-1-1-100000000000000000000000011-1-100
χ4922-2-2-222-22-12i2i−2i−2i2-1-2-2112-1-2112-1-2-12i−2i2-2-1-1111-11−i−iii2i2i−2i−2i000022-2-2−ii2-1-212i−2i-1-111−i−iii−i−iii002i−2i002-2002i−2i00000000−i−iii-1-111000000000000−ii-11000000
χ5022-2-2-222-22-12i2i−2i−2i2-1-2-2112-1-2112-1-2-12i−2i2-2-1-1111-11−i−iii2i2i−2i−2i0000-2-222−ii2-1-212i−2i-1-111−i−iii−i−iii00−2i2i00-2200−2i2i00000000ii−i−i11-1-1000000000000i−i1-1000000
χ5122-2-2-222-22-12i2i−2i−2i2-1-2-2112-1-2112-1-2-1−2i2i-22-1-1111-11−i−iii2i2i−2i−2i000022-2-2i−i-212-1−2i2i11-1-1−i−iiiii−i−i00−2i2i00-22002i−2i00000000−i−iii-1-111000000000000i−i1-1000000
χ5222-2-2-222-22-12i2i−2i−2i2-1-2-2112-1-2112-1-2-1−2i2i-22-1-1111-11−i−iii2i2i−2i−2i0000-2-222i−i-212-1−2i2i11-1-1−i−iiiii−i−i002i−2i002-200−2i2i00000000ii−i−i11-1-1000000000000−ii-11000000
χ5322-2-2-222-22-1−2i−2i2i2i2-1-2-2112-1-2112-1-2-12i−2i-22-1-1111-11ii−i−i−2i−2i2i2i000022-2-2−ii-212-12i−2i11-1-1ii−i−i−i−iii002i−2i00-2200−2i2i00000000ii−i−i-1-111000000000000−ii1-1000000
χ5422-2-2-222-22-1−2i−2i2i2i2-1-2-2112-1-2112-1-2-12i−2i-22-1-1111-11ii−i−i−2i−2i2i2i0000-2-222−ii-212-12i−2i11-1-1ii−i−i−i−iii00−2i2i002-2002i−2i00000000−i−iii11-1-1000000000000i−i-11000000
χ5522-2-2-222-22-1−2i−2i2i2i2-1-2-2112-1-2112-1-2-1−2i2i2-2-1-1111-11ii−i−i−2i−2i2i2i000022-2-2i−i2-1-21−2i2i-1-111ii−i−iii−i−i00−2i2i002-200−2i2i00000000ii−i−i-1-111000000000000i−i-11000000
χ5622-2-2-222-22-1−2i−2i2i2i2-1-2-2112-1-2112-1-2-1−2i2i2-2-1-1111-11ii−i−i−2i−2i2i2i0000-2-222i−i2-1-21−2i2i-1-111ii−i−iii−i−i002i−2i00-22002i−2i00000000−i−iii11-1-1000000000000−ii1-1000000
χ5722-2-2-222-2-122i2i−2i−2i-1211-2-2-121-2-2-121-12i−2i2-2-1-1111-112i2i−2i−2i−i−iii22-2-200002i−2i-121-2−ii-1-111−i−iii−i−iii2i−2i002i−2i002-200-1-111−i−iii000000000000000000000000-11−ii00
χ5822-2-2-222-2-122i2i−2i−2i-1211-2-2-121-2-2-121-12i−2i2-2-1-1111-112i2i−2i−2i−i−iii-2-22200002i−2i-121-2−ii-1-111−i−iii−i−iii−2i2i00−2i2i00-220011-1-1ii−i−i0000000000000000000000001-1i−i00
χ5922-2-2-222-2-122i2i−2i−2i-1211-2-2-121-2-2-121-1−2i2i-22-1-1111-112i2i−2i−2i−i−iii22-2-20000−2i2i1-2-12i−i11-1-1−i−iiiii−i−i2i−2i00−2i2i00-2200-1-111−i−iii0000000000000000000000001-1i−i00
χ6022-2-2-222-2-122i2i−2i−2i-1211-2-2-121-2-2-121-1−2i2i-22-1-1111-112i2i−2i−2i−i−iii-2-2220000−2i2i1-2-12i−i11-1-1−i−iiiii−i−i−2i2i002i−2i002-20011-1-1ii−i−i000000000000000000000000-11−ii00
χ6122-2-2-222-2-12−2i−2i2i2i-1211-2-2-121-2-2-121-12i−2i-22-1-1111-11−2i−2i2i2iii−i−i22-2-200002i−2i1-2-12−ii11-1-1ii−i−i−i−iii−2i2i002i−2i00-2200-1-111ii−i−i0000000000000000000000001-1−ii00
χ6222-2-2-222-2-12−2i−2i2i2i-1211-2-2-121-2-2-121-12i−2i-22-1-1111-11−2i−2i2i2iii−i−i-2-22200002i−2i1-2-12−ii11-1-1ii−i−i−i−iii2i−2i00−2i2i002-20011-1-1−i−iii000000000000000000000000-11i−i00
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χ672-222-2-22-222−2i2i−2i2i-2-22-22-2-2-222-222-220000-2-222-22-2−2i2i−2i2i−2i2i−2i2i00000000000000000000−2i2i−2i2i000000000000000000000000000000002-22-20000−2i2i−2i2i0000000000
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χ772-2-2-22-222222-2-22-2-2-22-22-2-2-2-2222220000-2-2-2-22222-2-222-2-22000000000000000000002-2-22000000000000000000000000000000002-2-2200002-2-220000000000
χ782-2-2-22-222222-2-22-2-2-22-22-2-2-2-2222220000-2-2-2-22222-2-222-2-22000000000000000000002-2-2200000000000000000000000000000000-222-20000-222-20000000000
χ792-2-2-22-22222-222-2-2-2-22-22-2-2-2-2222220000-2-2-2-2222-222-2-222-200000000000000000000-222-2000000000000000000000000000000002-2-220000-222-20000000000
χ802-2-2-22-22222-222-2-2-2-22-22-2-2-2-2222220000-2-2-2-2222-222-2-222-200000000000000000000-222-200000000000000000000000000000000-222-200002-2-220000000000
χ8144444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-2144441111111-2-2-2-2-2-2-2-200000000-2-2-2-2-2-2-2-211111111111100000000000000000000000000000000000000000000000000
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χ994-444-4-44-44-24i−4i4i−4i-424-4-22-424-224-2-4-2000022-2-22-22−2i2i−2i2i4i−4i4i−4i00000000000000000000−2i2i−2i2i000000000000000000000000000000000000000000000000000000
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χ1214-4-4-44-444-2-2-444-4222-22-22222-2-2-2-210000-1-1-1-11112-2-222-2-2200000000000000003-3-33-111-1-333-300000000000000000000000000000000000000000000000000
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χ1268-8-88-88-88-4-4000044-4-444-4-44-4-4444200002-2-222-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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