Finite Group Databasebeta

← Group #11858191

Character table — Group #11858191

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222224444444444444466666666888888888888888888121212121212121212121212121212121212121216161616181818181818181824242424242424242424242436363636
order1244233466121212122344466688121212122222444466612121212121212121212122424242422444444666688881212121261224242244444466121212121212242424242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-111-1-11111111111111111111-11-111-1-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-11-11-111-1-111-1-1-1-1-1-1
χ31111111111111111111111111111-1-111-1-111111111111111111111-11-11-1-111-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111-1-1111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1
χ611111111111111111-1-1111-1-1111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-111111-11-1-1-111-1-111-1-111
χ711111111111111111-1-1111-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-11-1111-1-111-1-1-1-111
χ811111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111111111-1-1
χ911111111111111-11-111111-1-1111111111111-1-11-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ1011111111111111-11-111111-1-1111111-1-111-1-1-1-11-1-1111111111-1-1-1-1-11-1111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-1111111
χ1111111111111111-11-111111-1-11111-1-111-1-111-1-11-1-1111111111-1-1-1-11-11-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-11111-1-11111
χ1211111111111111-11-111111-1-11111-1-1-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1
χ1311111111111111-11-1-1-111111111111111111-1-11-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ1411111111111111-11-1-1-111111111111-1-111-1-1-1-11-1-11-1-1-1-1-1-1-1-11111-11-11-1-11111-1-111-1-111-1-1-1-111-1-1-1-11111-11-11-1-11111-1-111-1-1
χ1511111111111111-11-1-1-1111111111-1-111-1-111-1-11-1-11-1-1-1-1-1-1-1-111111-11-111-1-1-1-111-1-111-1-111-1-111-1-1-1-111111-11-111-1-1-1-11111-1-1
χ1611111111111111-11-1-1-1111111111-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-111
χ1711-1-1-111111-1-1-1-111-1i−i1-1-1i−i11-1-11-11-11-11-111-1-1-11ii−i−iii−i−iii−i−i11-1-1i−ii−i1-11-1i−ii−i1-11-11-1i−i1-11-1ii−i−i11-1-1i−ii−ii−ii−i-11i−i
χ1811-1-1-111111-1-1-1-111-1i−i1-1-1i−i11-1-11-1-111-1-1111-1-1-11ii−i−iii−i−iii−i−i1-1-11i−i−ii1-1-11i−i−ii1-1-111-1i−i-11-11−i−iii1-1-11i−i−iii−i−ii1-1−ii
χ1911-1-1-111111-1-1-1-111-1i−i1-1-1i−i11-1-1-111-1-111-111-1-1-11ii−i−iii−i−iii−i−i-111-1−iii−i-111-1−iii−i-111-11-1i−i-11-11−i−iii-111-1−iii−i−iii−i1-1−ii
χ2011-1-1-111111-1-1-1-111-1i−i1-1-1i−i11-1-1-11-11-11-1111-1-1-11ii−i−iii−i−iii−i−i-1-111−ii−ii-11-11−ii−ii-11-111-1i−i1-11-1ii−i−i-1-111−ii−ii−ii−ii-11i−i
χ2111-1-1-111111-1-1-1-111-1−ii1-1-1−ii11-1-11-11-11-11-111-1-1-11−i−iii−i−iii−i−iii11-1-1−ii−ii1-11-1−ii−ii1-11-11-1−ii1-11-1−i−iii11-1-1−ii−ii−ii−ii-11−ii
χ2211-1-1-111111-1-1-1-111-1−ii1-1-1−ii11-1-11-1-111-1-1111-1-1-11−i−iii−i−iii−i−iii1-1-11−iii−i1-1-11−iii−i1-1-111-1−ii-11-11ii−i−i1-1-11−iii−i−iii−i1-1i−i
χ2311-1-1-111111-1-1-1-111-1−ii1-1-1−ii11-1-1-111-1-111-111-1-1-11−i−iii−i−iii−i−iii-111-1i−i−ii-111-1i−i−ii-111-11-1−ii-11-11ii−i−i-111-1i−i−iii−i−ii1-1i−i
χ2411-1-1-111111-1-1-1-111-1−ii1-1-1−ii11-1-1-11-11-11-1111-1-1-11−i−iii−i−iii−i−iii-1-111i−ii−i-11-11i−ii−i-11-111-1−ii1-11-1−i−iii-1-111i−ii−ii−ii−i-11−ii
χ2511-1-1-111111-1-1-1-1-111i−i1-1-1−ii11-1-11-11-11-11-1-1-1-1111ii−i−iii−i−i−i−iii-1-111i−ii−i1-11-1−ii−ii1-11-1-11−ii1-11-1ii−i−i-1-111i−ii−i−ii−ii1-1−ii
χ2611-1-1-111111-1-1-1-1-111i−i1-1-1−ii11-1-11-1-111-1-11-1-1-1111ii−i−iii−i−i−i−iii-111-1i−i−ii1-1-11−iii−i1-1-11-11−ii-11-11−i−iii-111-1i−i−ii−iii−i-11i−i
χ2711-1-1-111111-1-1-1-1-111i−i1-1-1−ii11-1-1-111-1-111-1-1-1-1111ii−i−iii−i−i−i−iii1-1-11−iii−i-111-1i−i−ii-111-1-11−ii-11-11−i−iii1-1-11−iii−ii−i−ii-11i−i
χ2811-1-1-111111-1-1-1-1-111i−i1-1-1−ii11-1-1-11-11-11-11-1-1-1111ii−i−iii−i−i−i−iii11-1-1−ii−ii-11-11i−ii−i-11-11-11−ii1-11-1ii−i−i11-1-1−ii−iii−ii−i1-1−ii
χ2911-1-1-111111-1-1-1-1-111−ii1-1-1i−i11-1-11-11-11-11-1-1-1-1111−i−iii−i−iiiii−i−i-1-111−ii−ii1-11-1i−ii−i1-11-1-11i−i1-11-1−i−iii-1-111−ii−iii−ii−i1-1i−i
χ3011-1-1-111111-1-1-1-1-111−ii1-1-1i−i11-1-11-1-111-1-11-1-1-1111−i−iii−i−iiiii−i−i-111-1−iii−i1-1-11i−i−ii1-1-11-11i−i-11-11ii−i−i-111-1−iii−ii−i−ii-11−ii
χ3111-1-1-111111-1-1-1-1-111−ii1-1-1i−i11-1-1-111-1-111-1-1-1-1111−i−iii−i−iiiii−i−i1-1-11i−i−ii-111-1−iii−i-111-1-11i−i-11-11ii−i−i1-1-11i−i−ii−iii−i-11−ii
χ3211-1-1-111111-1-1-1-1-111−ii1-1-1i−i11-1-1-11-11-11-11-1-1-1111−i−iii−i−iiiii−i−i11-1-1i−ii−i-11-11−ii−ii-11-11-11i−i1-11-1−i−iii11-1-1i−ii−i−ii−ii1-1i−i
χ33222222-122-122-1-12-1222-12-1222-1-1-1002200222-1-12-1-12-12-1-1-1-1-12-12-10202002200-1-1002200-1-1-1-1-1-1000000000-10-100-1-100-1-10000
χ34222222-122-122-1-12-1222-12-1222-1-1-100-2-200-2-22-1-12-1-12-12-1-1-1-1-12-12-10-20-200-2-2001100-2-20011-1-1-1-1000000000101001100110000
χ35222222-122-122-1-12-12-2-2-12-1-2-22-1-1-1002200222-1-12-1-1-21-211111-21-21020200-2-200-1-100-2-200-1-1-1-111000000000-10-1001100110000
χ36222222-122-122-1-12-12-2-2-12-1-2-22-1-1-100-2-200-2-22-1-12-1-1-21-211111-21-210-20-20022001100220011-1-11100000000010100-1-100-1-10000
χ37222222-122-122-1-1-2-1-222-12-1-2-22-1-1-100220022-21-1-21-12-12-1-1-1-1-1-21-210-20-2002200-1-100-2-200-1-1111100000000010100-1-100110000
χ38222222-122-122-1-1-2-1-222-12-1-2-22-1-1-100-2-200-2-2-21-1-21-12-12-1-1-1-1-1-21-21020200-2-20011002200111111000000000-10-1001100-1-10000
χ39222222-122-122-1-1-2-1-2-2-2-12-1222-1-1-100220022-21-1-21-1-21-2111112-12-10-20-200-2-200-1-1002200-1-111-1-1000000000101001100-1-10000
χ40222222-122-122-1-1-2-1-2-2-2-12-1222-1-1-100-2-200-2-2-21-1-21-1-21-2111112-12-102020022001100-2-2001111-1-1000000000-10-100-1-100110000
χ4122222-122-12-1-1222-1222-1-1222-12-1-122002200-12-1-12-1-12-12-1-1-1-1-12-1220202200-1-1002200-1-100-1-1-1-100000000-10-10-1-100-1-1000000
χ4222222-122-12-1-1222-1222-1-1222-12-1-1-2-200-2-200-12-1-12-1-12-12-1-1-1-1-12-12-20-20-2-2001100-2-2001100-1-1-1-1000000001010110011000000
χ4322222-122-12-1-1222-12-2-2-1-12-2-2-12-1-122002200-12-1-12-11-21-211111-21-22020-2-200-1-100-2-200-1-100-1-11100000000-10-10110011000000
χ4422222-122-12-1-1222-12-2-2-1-12-2-2-12-1-1-2-200-2-200-12-1-12-11-21-211111-21-2-20-202200110022001100-1-111000000001010-1-100-1-1000000
χ4522222-122-12-1-122-2-1-222-1-12-2-2-12-1-1220022001-2-11-2-1-12-12-1-1-1-11-21-2-20-202200-1-100-2-200-1-1001111000000001010-1-10011000000
χ4622222-122-12-1-122-2-1-222-1-12-2-2-12-1-1-2-200-2-2001-2-11-2-1-12-12-1-1-1-11-21-22020-2-200110022001100111100000000-10-101100-1-1000000
χ4722222-122-12-1-122-2-1-2-2-2-1-1222-12-1-1220022001-2-11-2-11-21-21111-12-12-20-20-2-200-1-1002200-1-10011-1-10000000010101100-1-1000000
χ4822222-122-12-1-122-2-1-2-2-2-1-1222-12-1-1-2-200-2-2001-2-11-2-11-21-21111-12-12202022001100-2-200110011-1-100000000-10-10-1-10011000000
χ492222-222-2222222020002-2-200-2-2222-22-2-22-2200-200-2000000000000000000002-22-20000-22-220000-222-200000000000000000000
χ502222-222-2222222020002-2-200-2-2222-2-22-222-200-200-2000000000000000000002-2-220000-222-200002-2-2200000000000000000000
χ512222-222-2222222020002-2-200-2-222-222-22-2-2200-200-200000000000000000000-222-200002-2-2200002-2-2200000000000000000000
χ522222-222-2222222020002-2-200-2-222-22-222-22-200-200-200000000000000000000-22-2200002-22-20000-222-200000000000000000000
χ5322-2-2222-222-2-2-2-20200022200-2-2-2-22222-2-2-2-200200-20000000000000000000022220000-2-2-2-20000-2-22200000000000000000000
χ5422-2-2222-222-2-2-2-20200022200-2-2-2-222-2-2-2-22200200-20000000000000000000022-2-20000-2-222000022-2-200000000000000000000
χ5522-2-2222-222-2-2-2-20200022200-2-2-2-2-2-22222-2-200200-200000000000000000000-2-222000022-2-2000022-2-200000000000000000000
χ5622-2-2222-222-2-2-2-20200022200-2-2-2-2-2-2-2-2222200200-200000000000000000000-2-2-2-2000022220000-2-22200000000000000000000
χ5722-2-2-22-122-1-2-2112-1-22i−2i-1-212i−2i2-111002-2002-22-11-21-12i−i−2ii−i−iii2i−i−2ii020-2002i−2i00-11002i−2i00-11-11−ii000000000-10100−ii00−ii0000
χ5822-2-2-22-122-1-2-2112-1-22i−2i-1-212i−2i2-11100-2200-222-11-21-12i−i−2ii−i−iii2i−i−2ii0-20200−2i2i001-100−2i2i001-1-11−ii00000000010-100i−i00i−i0000
χ5922-2-2-22-122-1-2-2112-1-2−2i2i-1-21−2i2i2-111002-2002-22-11-21-1−2ii2i−iii−i−i−2ii2i−i020-200−2i2i00-1100−2i2i00-11-11i−i000000000-10100i−i00i−i0000
χ6022-2-2-22-122-1-2-2112-1-2−2i2i-1-21−2i2i2-11100-2200-222-11-21-1−2ii2i−iii−i−i−2ii2i−i0-202002i−2i001-1002i−2i001-1-11i−i00000000010-100−ii00−ii0000
χ6122-2-2-22-122-1-2-211-2-122i−2i-1-21−2i2i2-111002-2002-2-2112-1-12i−i−2ii−i−iii−2ii2i−i0-202002i−2i00-1100−2i2i00-111-1i−i00000000010-100−ii00i−i0000
χ6222-2-2-22-122-1-2-211-2-122i−2i-1-21−2i2i2-11100-2200-22-2112-1-12i−i−2ii−i−iii−2ii2i−i020-200−2i2i001-1002i−2i001-11-1i−i000000000-10100i−i00−ii0000
χ6322-2-2-22-122-1-2-211-2-12−2i2i-1-212i−2i2-111002-2002-2-2112-1-1−2ii2i−iii−i−i2i−i−2ii0-20200−2i2i00-11002i−2i00-111-1−ii00000000010-100i−i00−ii0000
χ6422-2-2-22-122-1-2-211-2-12−2i2i-1-212i−2i2-11100-2200-22-2112-1-1−2ii2i−iii−i−i2i−i−2ii020-2002i−2i001-100−2i2i001-11-1−ii000000000-10100−ii00i−i0000
χ6522-2-2-2-122-1211-2-22-1-22i−2i-11-22i−2i-12112-2002-200-1211-2-1−i2ii−2i−i−iii−i2ii−2i20-202i−2i00-11002i−2i00-1100-11−ii00000000-1010−ii00−ii000000
χ6622-2-2-2-122-1211-2-22-1-22i−2i-11-22i−2i-1211-2200-2200-1211-2-1−i2ii−2i−i−iii−i2ii−2i-2020−2i2i001-100−2i2i001-100-11−ii0000000010-10i−i00i−i000000
χ6722-2-2-2-122-1211-2-22-1-2−2i2i-11-2−2i2i-12112-2002-200-1211-2-1i−2i−i2iii−i−ii−2i−i2i20-20−2i2i00-1100−2i2i00-1100-11i−i00000000-1010i−i00i−i000000
χ6822-2-2-2-122-1211-2-22-1-2−2i2i-11-2−2i2i-1211-2200-2200-1211-2-1i−2i−i2iii−i−ii−2i−i2i-20202i−2i001-1002i−2i001-100-11i−i0000000010-10−ii00−ii000000
χ6922-2-2-2-122-1211-2-2-2-122i−2i-11-2−2i2i-12112-2002-2001-21-12-1−i2ii−2i−i−iiii−2i−i2i-20202i−2i00-1100−2i2i00-11001-1i−i0000000010-10−ii00i−i000000
χ7022-2-2-2-122-1211-2-2-2-122i−2i-11-2−2i2i-1211-2200-22001-21-12-1−i2ii−2i−i−iiii−2i−i2i20-20−2i2i001-1002i−2i001-1001-1i−i00000000-1010i−i00−ii000000
χ7122-2-2-2-122-1211-2-2-2-12−2i2i-11-22i−2i-12112-2002-2001-21-12-1i−2i−i2iii−i−i−i2ii−2i-2020−2i2i00-11002i−2i00-11001-1−ii0000000010-10i−i00−ii000000
χ7222-2-2-2-122-1211-2-2-2-12−2i2i-11-22i−2i-1211-2200-22001-21-12-1i−2i−i2iii−i−i−i2ii−2i20-202i−2i001-100−2i2i001-1001-1−ii00000000-1010−ii00i−i000000
χ7344444-2-24-2-2-2-2-2-2414441-2-244-2-21100000000-2-21-2-21-2-2-2-21111-2-2-2-2000000000000000000001111000000000000000000000000
χ7444444-2-24-2-2-2-2-2-2414-4-41-2-2-4-4-2-21100000000-2-21-2-212222-1-1-1-122220000000000000000000011-1-1000000000000000000000000
χ7544444-2-24-2-2-2-2-2-2-41-4441-2-2-4-4-2-21100000000221221-2-2-2-21111222200000000000000000000-1-1-1-1000000000000000000000000
χ7644444-2-24-2-2-2-2-2-2-41-4-4-41-2-244-2-211000000002212212222-1-1-1-1-2-2-2-200000000000000000000-1-111000000000000000000000000
χ774444-44-2-44-244-2-20-2000-2-4200-42-2-2004-400-440020020000000000000000000000-220000002-20000000000000000000000000000
χ784444-44-2-44-244-2-20-2000-2-4200-42-2-200-44004-400200200000000000000000000002-2000000-220000000000000000000000000000
χ794444-4-24-4-24-2-2440-2000-22-4002-4-2-24-400-440000200200000000000000000000-220000002-2000000000000000000000000000000
χ804444-4-24-4-24-2-2440-2000-22-4002-4-2-2-44004-400002002000000000000000000002-2000000-22000000000000000000000000000000
χ8144-4-444-2-44-2-4-4220-2000-24-200-4222004400-4-400-20020000000000000000000000-2-2000000220000000000000000000000000000
χ8244-4-444-2-44-2-4-4220-2000-24-200-422200-4-4004400-2002000000000000000000000022000000-2-20000000000000000000000000000
χ8344-4-44-24-4-2422-4-40-2000-2-24002-4224400-4-40000-200200000000000000000000-2-200000022000000000000000000000000000000
χ8444-4-44-24-4-2422-4-40-2000-2-24002-422-4-400440000-20020000000000000000000022000000-2-2000000000000000000000000000000
χ8544-4-4-4-2-24-2-2222241-44i−4i1224i−4i-2-2-1-100000000-2-2-1221−2i−2i2i2iii−i−i−2i−2i2i2i000000000000000000001-1i−i000000000000000000000000
χ8644-4-4-4-2-24-2-2222241-4−4i4i122−4i4i-2-2-1-100000000-2-2-12212i2i−2i−2i−i−iii2i2i−2i−2i000000000000000000001-1−ii000000000000000000000000
χ8744-4-4-4-2-24-2-22222-4144i−4i122−4i4i-2-2-1-10000000022-1-2-21−2i−2i2i2iii−i−i2i2i−2i−2i00000000000000000000-11−ii000000000000000000000000
χ8844-4-4-4-2-24-2-22222-414−4i4i1224i−4i-2-2-1-10000000022-1-2-212i2i−2i−2i−i−iii−2i−2i2i2i00000000000000000000-11i−i000000000000000000000000
χ894-44i−4i0440-4-44i−4i4i−4i04000-40000004i−4i0000000000000000000000000000000000000000000000000000002−2i−2+2i2+2i−2−2i0000000000000000
χ904-44i−4i0440-4-44i−4i4i−4i04000-40000004i−4i000000000000000000000000000000000000000000000000000000−2+2i2−2i−2−2i2+2i0000000000000000
χ914-4−4i4i0440-4-4−4i4i−4i4i04000-4000000−4i4i0000000000000000000000000000000000000000000000000000002+2i−2−2i2−2i−2+2i0000000000000000
χ924-4−4i4i0440-4-4−4i4i−4i4i04000-4000000−4i4i000000000000000000000000000000000000000000000000000000−2−2i2+2i−2+2i2−2i0000000000000000
χ938888-8-4-4-8-4-4-4-4-4-4020002440044220000000000-200-2000000000000000000000000000000000000000000000000000000000000
χ9488-8-88-4-4-8-4-44444020002-4-40044-2-20000000000200-2000000000000000000000000000000000000000000000000000000000000
χ958-88i−8i08-40-848i−8i−4i4i0-40004000000−4i4i00000000000000000000000000000000000000000000000000000000000000000000000000
χ968-88i−8i0-4804-8−4i4i8i−8i0-40004000000−4i4i00000000000000000000000000000000000000000000000000000000000000000000000000
χ978-88i−8i0-4-4044−4i4i−4i4i02000-20000002i−2i0000000000000000003+3i−3−3i3−3i−3+3i0000000000000000000000000000000000000000000000000000
χ988-88i−8i0-4-4044−4i4i−4i4i02000-20000002i−2i000000000000000000−3−3i3+3i−3+3i3−3i0000000000000000000000000000000000000000000000000000
χ998-8−8i8i08-40-84−8i8i4i−4i0-400040000004i−4i00000000000000000000000000000000000000000000000000000000000000000000000000
χ1008-8−8i8i0-4804-84i−4i−8i8i0-400040000004i−4i00000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8−8i8i0-4-40444i−4i4i−4i02000-2000000−2i2i0000000000000000003−3i−3+3i3+3i−3−3i0000000000000000000000000000000000000000000000000000
χ1028-8−8i8i0-4-40444i−4i4i−4i02000-2000000−2i2i000000000000000000−3+3i3−3i−3−3i3+3i0000000000000000000000000000000000000000000000000000

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