Finite Group Databasebeta

← Group #11858192

Character table — Group #11858192

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11112222222222444444444444444444666666666666666688888888888888881212121212121212121212121212121212121212161616161818181824242424242424242424363636363636
order124423346612121212234446668812121212121212122222444444446612126661212121212121212122424242422444466688881212121212121261224242244661212121224242424244488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-111-1-11111111111111111111111111-11-1-1-11-1-111-1-11-1-111111111-1-1-1-11-11-1-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111111111111111-11-1111-111-1-111-111-1-1-1-11111-1-1-1-1-11-1111-1-111-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111-1-1111-1-111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1-1-1111-1-1-1-111-1-111111111-1-1-1-1-1-111-1-1-1-1
χ611111111111111111-1-1111-1-111-1-1-1-11111-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11-11-1111-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-11-11-111-1-111-1-11111
χ711111111111111111-1-1111-1-111-1-1-1-111-1-111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11-11-1-1-11111-1-1-111111111-1-1-1-1-1-1-11-11-1-111-1-1-1-11111
χ811111111111111111-1-1111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1111111-1-11111-1-1-1-111111111-1-1-1-1
χ911111111111111-11-111111-1-1111111111111111111111111-1-11-1-11111111-1-1-1-1-1-1-1-111111-1-1-1-11111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-1
χ1011111111111111-11-111111-1-11111111111-1-111-1-111111111-1-11-1-11111111-1-1-1-1-11-11-1-11-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-111
χ1111111111111111-11-111111-1-111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-11-1-11111111-1-1-1-11-11-111-11111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-111-1-111
χ1211111111111111-11-111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-1
χ1311111111111111-11-1-1-11111111-1-1-1-11111111111-1-1-1-11111-1-11-1-11-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111
χ1411111111111111-11-1-1-11111111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-11-1-11-1-1-1-1-1-11111-11-11111-1-111-1-11-1-1-1-1-1-1-1-111-1-1-1-1-11-111111-1-11111-1-1
χ1511111111111111-11-1-1-11111111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-11-1-11-1-1-1-1-1-111111-11-1-1-1-111-1-111-1111111-1-111-1-1-1-11-11-1-1-1-1-1111111-1-1
χ1611111111111111-11-1-1-11111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-1-11-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-111
χ1711-1-1-111111-1-1-1-111-1i−i1-1-1i−i11ii−i−i-1-11-11-11-11-1ii−i−i11-1-111-1-1-11i−iii−i−iii−i−i11-1-1i−i-11-1i−ii−i11-1ii−i−i1-1i−i1-11-111-1-1i−ii−ii−i-11i−ii−i
χ1811-1-1-111111-1-1-1-111-1i−i1-1-1i−i11ii−i−i-1-11-1-111-1-11ii−i−i11-1-111-1-1-11i−iii−i−iii−i−i1-1-11−ii-1-11i−i−ii1-11ii−i−i1-1i−i-11-111-1-11−iii−i−ii1-1−ii−ii
χ1911-1-1-111111-1-1-1-111-1i−i1-1-1i−i11ii−i−i-1-1-111-1-111-1−i−iii-1-11111-1-1-11i−iii−i−iii−i−i-111-1i−i11-1−iii−i-11-1−i−iii1-1i−i-11-11-111-1i−i−iii−i1-1−ii−ii
χ2011-1-1-111111-1-1-1-111-1i−i1-1-1i−i11ii−i−i-1-1-11-11-11-11−i−iii-1-11111-1-1-11i−iii−i−iii−i−i-1-111−ii1-11−ii−ii-1-11−i−iii1-1i−i1-11-1-1-111−ii−ii−ii-11i−ii−i
χ2111-1-1-111111-1-1-1-111-1−ii1-1-1−ii11−i−iii-1-11-11-11-11-1−i−iii11-1-111-1-1-11−ii−i−iii−i−iii11-1-1−ii-11-1−ii−ii11-1−i−iii1-1−ii1-11-111-1-1−ii−ii−ii-11−ii−ii
χ2211-1-1-111111-1-1-1-111-1−ii1-1-1−ii11−i−iii-1-11-1-111-1-11−i−iii11-1-111-1-1-11−ii−i−iii−i−iii1-1-11i−i-1-11−iii−i1-11−i−iii1-1−ii-11-111-1-11i−i−iii−i1-1i−ii−i
χ2311-1-1-111111-1-1-1-111-1−ii1-1-1−ii11−i−iii-1-1-111-1-111-1ii−i−i-1-11111-1-1-11−ii−i−iii−i−iii-111-1−ii11-1i−i−ii-11-1ii−i−i1-1−ii-11-11-111-1−iii−i−ii1-1i−ii−i
χ2411-1-1-111111-1-1-1-111-1−ii1-1-1−ii11−i−iii-1-1-11-11-11-11ii−i−i-1-11111-1-1-11−ii−i−iii−i−iii-1-111i−i1-11i−ii−i-1-11ii−i−i1-1−ii1-11-1-1-111i−ii−ii−i-11−ii−ii
χ2511-1-1-111111-1-1-1-1-111i−i1-1-1−ii11ii−i−i-1-11-11-11-11-1ii−i−i11-1-1-1-1-1111i−iii−i−i−i−iii-1-111i−i-11-1−ii−ii11-1ii−i−i-11−ii1-11-1-1-111i−i−ii−ii1-1i−i−ii
χ2611-1-1-111111-1-1-1-1-111i−i1-1-1−ii11ii−i−i-1-11-1-111-1-11ii−i−i11-1-1-1-1-1111i−iii−i−i−i−iii-111-1−ii-1-11−iii−i1-11ii−i−i-11−ii-11-11-111-1−ii−iii−i-11−iii−i
χ2711-1-1-111111-1-1-1-1-111i−i1-1-1−ii11ii−i−i-1-1-111-1-111-1−i−iii-1-111-1-1-1111i−iii−i−i−i−iii1-1-11i−i11-1i−i−ii-11-1−i−iii-11−ii-11-111-1-11i−ii−i−ii-11−iii−i
χ2811-1-1-111111-1-1-1-1-111i−i1-1-1−ii11ii−i−i-1-1-11-11-11-11−i−iii-1-111-1-1-1111i−iii−i−i−i−iii11-1-1−ii1-11i−ii−i-1-11−i−iii-11−ii1-11-111-1-1−iii−ii−i1-1i−i−ii
χ2911-1-1-111111-1-1-1-1-111−ii1-1-1i−i11−i−iii-1-11-11-11-11-1−i−iii11-1-1-1-1-1111−ii−i−iiiii−i−i-1-111−ii-11-1i−ii−i11-1−i−iii-11i−i1-11-1-1-111−iii−ii−i1-1−iii−i
χ3011-1-1-111111-1-1-1-1-111−ii1-1-1i−i11−i−iii-1-11-1-111-1-11−i−iii11-1-1-1-1-1111−ii−i−iiiii−i−i-111-1i−i-1-11i−i−ii1-11−i−iii-11i−i-11-11-111-1i−ii−i−ii-11i−i−ii
χ3111-1-1-111111-1-1-1-1-111−ii1-1-1i−i11−i−iii-1-1-111-1-111-1ii−i−i-1-111-1-1-1111−ii−i−iiiii−i−i1-1-11−ii11-1−iii−i-11-1ii−i−i-11i−i-11-111-1-11−ii−iii−i-11i−i−ii
χ3211-1-1-111111-1-1-1-1-111−ii1-1-1i−i11−i−iii-1-1-11-11-11-11ii−i−i-1-111-1-1-1111−ii−i−iiiii−i−i11-1-1i−i1-11−ii−ii-1-11ii−i−i-11i−i1-11-111-1-1i−i−ii−ii1-1−iii−i
χ33222222-122-122-1-12-1222-12-1222-12222-1-100220022000000002-1-12-1-1-1-1-1-1-1-12-12-10202220-1-100220-1-10000-1-1-1-100000-10-1-1-100-1-1000000
χ34222222-122-122-1-12-1222-12-1222-12222-1-100-2-200-2-2000000002-1-12-1-1-1-1-1-1-1-12-12-10-20-2-2-201100-2-20110000-1-1-1-100000101110011000000
χ35222222-122-122-1-12-12-2-2-12-1-2-22-1-2-2-2-2-1-100220022000000002-1-12-1-1111111-21-210202-2-20-1-100-2-20-1-10000-1-11100000-10-1110011000000
χ36222222-122-122-1-12-12-2-2-12-1-2-22-1-2-2-2-2-1-100-2-200-2-2000000002-1-12-1-1111111-21-210-20-22201100220110000-1-11100000101-1-100-1-1000000
χ37222222-122-122-1-1-2-1-222-12-1-2-22-12222-1-10022002200000000-21-1-21-1-1-1-1-1-1-1-21-210-20-2220-1-100-2-20-1-10000111100000101-1-10011000000
χ38222222-122-122-1-1-2-1-222-12-1-2-22-12222-1-100-2-200-2-200000000-21-1-21-1-1-1-1-1-1-1-21-210202-2-201100220110000111100000-10-11100-1-1000000
χ39222222-122-122-1-1-2-1-2-2-2-12-1222-1-2-2-2-2-1-10022002200000000-21-1-21-11111112-12-10-20-2-2-20-1-100220-1-1000011-1-1000001011100-1-1000000
χ40222222-122-122-1-1-2-1-2-2-2-12-1222-1-2-2-2-2-1-100-2-200-2-200000000-21-1-21-11111112-12-102022201100-2-2011000011-1-100000-10-1-1-10011000000
χ4122222-122-12-1-1222-1222-1-1222-12-1-1-1-1-1-1220022002222-1-1-1-1-12-1-12-122-1-1-1-1-12-12202000-1002200-100-1-1-1-1-1-1-1-10000-10-1000-1-100000000
χ4222222-122-12-1-1222-1222-1-1222-12-1-1-1-1-1-1-2-200-2-200-2-2-2-21111-12-1-12-122-1-1-1-1-12-12-20-2000100-2-2001001111-1-1-1-100001010001100000000
χ4322222-122-12-1-1222-12-2-2-1-12-2-2-121111-1-122002200-2-2-2-2-1-1-1-1-12-1-12-1-2-211111-21-2202000-100-2-200-1001111-1-1110000-10-10001100000000
χ4422222-122-12-1-1222-12-2-2-1-12-2-2-121111-1-1-2-200-2-20022221111-12-1-12-1-2-211111-21-2-20-20001002200100-1-1-1-1-1-1110000101000-1-100000000
χ4522222-122-12-1-122-2-1-222-1-12-2-2-12-1-1-1-1-1-1220022002222-1-1-1-11-2-11-2-122-1-1-1-11-21-2-20-2000-100-2-200-100-1-1-1-1111100001010001100000000
χ4622222-122-12-1-122-2-1-222-1-12-2-2-12-1-1-1-1-1-1-2-200-2-200-2-2-2-211111-2-11-2-122-1-1-1-11-21-22020001002200100111111110000-10-1000-1-100000000
χ4722222-122-12-1-122-2-1-2-2-2-1-1222-121111-1-122002200-2-2-2-2-1-1-1-11-2-11-2-1-2-21111-12-12-20-2000-1002200-100111111-1-10000101000-1-100000000
χ4822222-122-12-1-122-2-1-2-2-2-1-1222-121111-1-1-2-200-2-200222211111-2-11-2-1-2-21111-12-12202000100-2-200100-1-1-1-111-1-10000-10-10001100000000
χ492222-222-2222222020002-2-200-2-20000222-22-2-22-220000222200-200-20000000000000000-22-20000-2-2200000000-222-20000000000000000
χ502222-222-2222222020002-2-200-2-20000222-2-22-222-20000222200-200-20000000000000000-2-220000-22-2000000002-2-220000000000000000
χ512222-222-2222222020002-2-200-2-2000022-222-22-2-220000-2-2-2-200-200-2000000000000000022-200002-22000000002-2-220000000000000000
χ522222-222-2222222020002-2-200-2-2000022-22-222-22-20000-2-2-2-200-200-200000000000000002-22000022-200000000-222-20000000000000000
χ5322-2-2222-222-2-2-2-20200022200-2-20000-2-22222-2-2-2-2000022-2-200200-200000000000000002220000-2-2-200000000-2-2220000000000000000
χ5422-2-2222-222-2-2-2-20200022200-2-20000-2-222-2-2-2-222000022-2-200200-200000000000000002-2-20000-2220000000022-2-20000000000000000
χ5522-2-2222-222-2-2-2-20200022200-2-20000-2-2-2-22222-2-20000-2-22200200-20000000000000000-22200002-2-20000000022-2-20000000000000000
χ5622-2-2222-222-2-2-2-20200022200-2-20000-2-2-2-2-2-222220000-2-22200200-20000000000000000-2-2-2000022200000000-2-2220000000000000000
χ5722-2-2-22-122-1-2-2112-1-22i−2i-1-212i−2i2-12i2i−2i−2i11002-2002-2000000002-11-21-1−ii−i−iii2i−i−2ii020-22i−2i0-11002i−2i0-110000-11−ii00000-101−ii00−ii000000
χ5822-2-2-22-122-1-2-2112-1-22i−2i-1-212i−2i2-12i2i−2i−2i1100-2200-22000000002-11-21-1−ii−i−iii2i−i−2ii0-202−2i2i01-100−2i2i01-10000-11−ii0000010-1i−i00i−i000000
χ5922-2-2-22-122-1-2-2112-1-2−2i2i-1-21−2i2i2-1−2i−2i2i2i11002-2002-2000000002-11-21-1i−iii−i−i−2ii2i−i020-2−2i2i0-1100−2i2i0-110000-11i−i00000-101i−i00i−i000000
χ6022-2-2-22-122-1-2-2112-1-2−2i2i-1-21−2i2i2-1−2i−2i2i2i1100-2200-22000000002-11-21-1i−iii−i−i−2ii2i−i0-2022i−2i01-1002i−2i01-10000-11i−i0000010-1−ii00−ii000000
χ6122-2-2-22-122-1-2-211-2-122i−2i-1-21−2i2i2-12i2i−2i−2i11002-2002-200000000-2112-1-1−ii−i−iii−2ii2i−i0-2022i−2i0-1100−2i2i0-1100001-1i−i0000010-1−ii00i−i000000
χ6222-2-2-22-122-1-2-211-2-122i−2i-1-21−2i2i2-12i2i−2i−2i1100-2200-2200000000-2112-1-1−ii−i−iii−2ii2i−i020-2−2i2i01-1002i−2i01-100001-1i−i00000-101i−i00−ii000000
χ6322-2-2-22-122-1-2-211-2-12−2i2i-1-212i−2i2-1−2i−2i2i2i11002-2002-200000000-2112-1-1i−iii−i−i2i−i−2ii0-202−2i2i0-11002i−2i0-1100001-1−ii0000010-1i−i00−ii000000
χ6422-2-2-22-122-1-2-211-2-12−2i2i-1-212i−2i2-1−2i−2i2i2i1100-2200-2200000000-2112-1-1i−iii−i−i2i−i−2ii020-22i−2i01-100−2i2i01-100001-1−ii00000-101−ii00i−i000000
χ6522-2-2-2-122-1211-2-22-1-22i−2i-11-22i−2i-12−i−iii112-2002-2002i2i−2i−2i-1-111-1211-2-12i−2i−i−iii−i2ii−2i20-20001002i−2i00-100−i−iii-11−ii0000-101000−ii00000000
χ6622-2-2-2-122-1211-2-22-1-22i−2i-11-22i−2i-12−i−iii11-2200-2200−2i−2i2i2i11-1-1-1211-2-12i−2i−i−iii−i2ii−2i-202000-100−2i2i00100ii−i−i-11−ii000010-1000i−i00000000
χ6722-2-2-2-122-1211-2-22-1-2−2i2i-11-2−2i2i-12ii−i−i112-2002-200−2i−2i2i2i-1-111-1211-2-1−2i2iii−i−ii−2i−i2i20-2000100−2i2i00-100ii−i−i-11i−i0000-101000i−i00000000
χ6822-2-2-2-122-1211-2-22-1-2−2i2i-11-2−2i2i-12ii−i−i11-2200-22002i2i−2i−2i11-1-1-1211-2-1−2i2iii−i−ii−2i−i2i-202000-1002i−2i00100−i−iii-11i−i000010-1000−ii00000000
χ6922-2-2-2-122-1211-2-2-2-122i−2i-11-2−2i2i-12−i−iii112-2002-2002i2i−2i−2i-1-1111-21-12-12i−2i−i−iiii−2i−i2i-202000100−2i2i00-100−i−iii1-1i−i000010-1000i−i00000000
χ7022-2-2-2-122-1211-2-2-2-122i−2i-11-2−2i2i-12−i−iii11-2200-2200−2i−2i2i2i11-1-11-21-12-12i−2i−i−iiii−2i−i2i20-2000-1002i−2i00100ii−i−i1-1i−i0000-101000−ii00000000
χ7122-2-2-2-122-1211-2-2-2-12−2i2i-11-22i−2i-12ii−i−i112-2002-200−2i−2i2i2i-1-1111-21-12-1−2i2iii−i−i−i2ii−2i-2020001002i−2i00-100ii−i−i1-1−ii000010-1000−ii00000000
χ7222-2-2-2-122-1211-2-2-2-12−2i2i-11-22i−2i-12ii−i−i11-2200-22002i2i−2i−2i11-1-11-21-12-1−2i2iii−i−i−i2ii−2i20-2000-100−2i2i00100−i−iii1-1−ii0000-101000i−i00000000
χ7344444-2-24-2-2-2-2-2-2414441-2-244-2-2-2-2-2-2110000000000000000-2-21-2-21-2-21111-2-2-2-200000000000000000000111100000000000000000000
χ7444444-2-24-2-2-2-2-2-2414-4-41-2-2-4-4-2-22222110000000000000000-2-21-2-2122-1-1-1-122220000000000000000000011-1-100000000000000000000
χ7544444-2-24-2-2-2-2-2-2-41-4441-2-2-4-4-2-2-2-2-2-2110000000000000000221221-2-21111222200000000000000000000-1-1-1-100000000000000000000
χ7644444-2-24-2-2-2-2-2-2-41-4-4-41-2-244-2-2222211000000000000000022122122-1-1-1-1-2-2-2-200000000000000000000-1-11100000000000000000000
χ774444-44-2-44-244-2-20-2000-2-4200-420000-2-2004-400-440000000000200200000000000000000-22000002-20000000000000000000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.