Finite Group Databasebeta

← Group #11861158

Character table — Group #11861158

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11112222222222444444444444444444666666666666666688888888888888881212121212121212121212121212121212121212161616161818181824242424242424242424363636363636
order12442334661212121223444666881212121212121212224444446688881212666121212121212121212242424242244688888812121212122424242461224248888661212242424242424248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-11111111111111111111-11-1111-1-1-1-111111-1-1-1-11111-1-1-1-1-11-1111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-11111111111111111-11-11-1-1-11111-1-1-1-1-111111111-1-1-1-11-11-1-1-11111-1-1-1-1-1-1
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
χ511111111111111111-1-1111-1-11-1-1-1-11111111-1-1-1-11111111111111-1-11-1-1-1-1-1-1-1-11-11-11-1-111-1-11-1-1-1-1111111-1-11111-11-11-1-111-1-1-1-111-1-1
χ611111111111111111-1-1111-1-11-1-1-1-11111111-1-1-1-111-1-1-1-11111111-1-11-1-1-1-1-1-1-1-111111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111
χ711111111111111111-1-1111-1-11-1-1-1-1111-1-1-1-11111-1-11111-1-111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111
χ811111111111111111-1-1111-1-11-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-11-1-1-1-1-1-1-1-1-11-11-111-1-111-11111-1-1-1-111-1-111111-11-111-1-111-1-111-1-1
χ911111111111111-11-111111-1-1111111111111111111111111-1-11-1-11111111-1-1-1-1-1-1-1-11-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111
χ1011111111111111-11-111111-1-1111111111111111111-1-1-1-111-1-11-1-11111111-1-1-1-1-11-111-1-111-1-111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-111-1-11111-1-1
χ1111111111111111-11-111111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-11111111-1-1-1-11-11-1-111-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1111-1-1111111-1-1
χ1211111111111111-11-111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111-1-1-1-11111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ1311111111111111-11-1-1-1111111-1-1-1-11111111-1-1-1-111111111-1-11-1-1-1-11-1-1-1-11111-11-11111-1-1-1-11-1-1-1-11111-1-11111111-11-111-1-1-1-111-1-1-1-1
χ1411111111111111-11-1-1-1111111-1-1-1-11111111-1-1-1-111-1-1-1-111-1-11-1-1-1-11-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11111
χ1511111111111111-11-1-1-1111111-1-1-1-1111-1-1-1-11111-1-11111-1-1-1-11-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ1611111111111111-11-1-1-1111111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-111111-11-1-1-1-11111-11111-1-1-1-1-1-1111111-11-11-1-1111111-1-1-1-1
χ1711-1-1-111111-1-1-1-111-1i−i-11-1i−i1ii−i−i-1-111-11-1ii−i−i11ii−i−i-1-111-1-1-1i−i1ii−i−ii−ii−i11-1-1-1i−ii−i1-11ii−i−iii−i−i1-1i−iii−i−i11-1-1i−ii−i1-1-11i−i1-1
χ1811-1-1-111111-1-1-1-111-1i−i-11-1i−i1ii−i−i-1-111-11-1ii−i−i11−i−iii-1-111-1-1-1i−i1ii−i−ii−ii−i1-1-11-1i−i−ii-111ii−i−i−i−iii1-1i−i−i−iii-111-1i−i−ii-111-1−ii-11
χ1911-1-1-111111-1-1-1-111-1i−i-11-1i−i1ii−i−i-1-11-11-11−i−iii-1-1ii−i−i1111-1-1-1i−i1ii−i−ii−ii−i-111-11−iii−i1-1-1−i−iiiii−i−i1-1i−i−i−iii1-1-11−iii−i1-11-1−ii-11
χ2011-1-1-111111-1-1-1-111-1i−i-11-1i−i1ii−i−i-1-11-11-11−i−iii-1-1−i−iii1111-1-1-1i−i1ii−i−ii−ii−i-1-1111−ii−ii-11-1−i−iii−i−iii1-1i−iii−i−i-1-111−ii−ii-11-11i−i1-1
χ2111-1-1-111111-1-1-1-111-1−ii-11-1−ii1−i−iii-1-111-11-1−i−iii11ii−i−i-1-111-1-1-1−ii1−i−iii−ii−ii1-1-11-1−iii−i-111−i−iiiii−i−i1-1−iiii−i−i-111-1−iii−i-111-1i−i-11
χ2211-1-1-111111-1-1-1-111-1−ii-11-1−ii1−i−iii-1-111-11-1−i−iii11−i−iii-1-111-1-1-1−ii1−i−iii−ii−ii11-1-1-1−ii−ii1-11−i−iii−i−iii1-1−ii−i−iii11-1-1−ii−ii1-1-11−ii1-1
χ2311-1-1-111111-1-1-1-111-1−ii-11-1−ii1−i−iii-1-11-11-11ii−i−i-1-1ii−i−i1111-1-1-1−ii1−i−iii−ii−ii-1-1111i−ii−i-11-1ii−i−iii−i−i1-1−ii−i−iii-1-111i−ii−i-11-11−ii1-1
χ2411-1-1-111111-1-1-1-111-1−ii-11-1−ii1−i−iii-1-11-11-11ii−i−i-1-1−i−iii1111-1-1-1−ii1−i−iii−ii−ii-111-11i−i−ii1-1-1ii−i−i−i−iii1-1−iiii−i−i1-1-11i−i−ii1-11-1i−i-11
χ2511-1-1-111111-1-1-1-1-111i−i-11-1−ii1ii−i−i-1-111-11-1ii−i−i11ii−i−i-1-1-1-1-111i−i1ii−i−i−ii−ii-1-111-1−ii−ii1-11ii−i−iii−i−i-11−iiii−i−i-1-111−ii−ii1-11-1−ii1-1
χ2611-1-1-111111-1-1-1-1-111i−i-11-1−ii1ii−i−i-1-111-11-1ii−i−i11−i−iii-1-1-1-1-111i−i1ii−i−i−ii−ii-111-1-1−iii−i-111ii−i−i−i−iii-11−ii−i−iii1-1-11−iii−i-11-11i−i-11
χ2711-1-1-111111-1-1-1-1-111i−i-11-1−ii1ii−i−i-1-11-11-11−i−iii-1-1ii−i−i11-1-1-111i−i1ii−i−i−ii−ii1-1-111i−i−ii1-1-1−i−iiiii−i−i-11−ii−i−iii-111-1i−i−ii1-1-11i−i-11
χ2811-1-1-111111-1-1-1-1-111i−i-11-1−ii1ii−i−i-1-11-11-11−i−iii-1-1−i−iii11-1-1-111i−i1ii−i−i−ii−ii11-1-11i−ii−i-11-1−i−iii−i−iii-11−iiii−i−i11-1-1i−ii−i-111-1−ii1-1
χ2911-1-1-111111-1-1-1-1-111−ii-11-1i−i1−i−iii-1-111-11-1−i−iii11ii−i−i-1-1-1-1-111−ii1−i−iiii−ii−i-111-1-1i−i−ii-111−i−iiiii−i−i-11i−iii−i−i1-1-11i−i−ii-11-11−ii-11
χ3011-1-1-111111-1-1-1-1-111−ii-11-1i−i1−i−iii-1-111-11-1−i−iii11−i−iii-1-1-1-1-111−ii1−i−iiii−ii−i-1-111-1i−ii−i1-11−i−iii−i−iii-11i−i−i−iii-1-111i−ii−i1-11-1i−i1-1
χ3111-1-1-111111-1-1-1-1-111−ii-11-1i−i1−i−iii-1-11-11-11ii−i−i-1-1ii−i−i11-1-1-111−ii1−i−iiii−ii−i11-1-11−ii−ii-11-1ii−i−iii−i−i-11i−i−i−iii11-1-1−ii−ii-111-1i−i1-1
χ3211-1-1-111111-1-1-1-1-111−ii-11-1i−i1−i−iii-1-11-11-11ii−i−i-1-1−i−iii11-1-1-111−ii1−i−iiii−ii−i1-1-111−iii−i1-1-1ii−i−i−i−iii-11i−iii−i−i-111-1−iii−i1-1-11−ii-11
χ33222222-122-1-1-1222-12222-1-122-1-1-1-1-1-1-1222222222-1-10000-1-12-1-12-122-1-1-1-1-1-1-1222020-1220000-1-1-1-1-10000-1-1-1-100000-10-1-1-10000000000
χ34222222-122-1-1-1222-12222-1-122-1-1-1-1-1-1-12-2-2-2-2-2-2-2-2110000112-1-12-122-1-1-1-1-1-1-122-20-201-2-20000111110000-1-1-1-100000101110000000000
χ35222222-122-1-1-1222-12-2-22-1-1-2-2-11111-1-122222-2-2-2-2-1-10000-1-12-1-12-1-2-2-1111111-2-22020-1-2-20000-111110000-1-11100000-10-1110000000000
χ36222222-122-1-1-1222-12-2-22-1-1-2-2-11111-1-12-2-2-2-22222110000112-1-12-1-2-2-1111111-2-2-20-2012200001-1-1-1-10000-1-11100000101-1-10000000000
χ37222222-122-1-1-122-2-1-2222-1-1-2-2-1-1-1-1-1-1-1222222222-1-10000-1-1-21-1-2122-1-1-1-1-111-2-2-20-20-1-2-20000-1-1-1-1-10000111100000101110000000000
χ38222222-122-1-1-122-2-1-2222-1-1-2-2-1-1-1-1-1-1-12-2-2-2-2-2-2-2-211000011-21-1-2122-1-1-1-1-111-2-220201220000111110000111100000-10-1-1-10000000000
χ39222222-122-1-1-122-2-1-2-2-22-1-122-11111-1-122222-2-2-2-2-1-10000-1-1-21-1-21-2-2-11111-1-122-20-20-1220000-11111000011-1-100000101-1-10000000000
χ40222222-122-1-1-122-2-1-2-2-22-1-122-11111-1-12-2-2-2-2222211000011-21-1-21-2-2-11111-1-12220201-2-200001-1-1-1-1000011-1-100000-10-1110000000000
χ4122222-122-1222-1-12-1222-1-122222222-1-1-10000000000222200-12-1-12-1-1-1-1-1-1-122-1-10202000222200000-1-1-1-1-1-1-1-10000-10-1000-1-1-1-1000000
χ4222222-122-1222-1-12-1222-1-122222222-1-1-10000000000-2-2-2-200-12-1-12-1-1-1-1-1-1-122-1-10-20-2000-2-2-2-2000001111-1-1-1-100001010001111000000
χ4322222-122-1222-1-12-12-2-2-1-12-2-22-2-2-2-2-1-1-10000000000222200-12-1-1211-11111-2-2110-20-200022-2-200000-1-1-1-1-1-1110000101000-1-111000000
χ4422222-122-1222-1-12-12-2-2-1-12-2-22-2-2-2-2-1-1-10000000000-2-2-2-200-12-1-1211-11111-2-2110202000-2-222000001111-1-1110000-10-100011-1-1000000
χ4522222-122-1222-1-1-2-1-222-1-12-2-222222-1-1-100000000002222001-2-11-2-1-1-1-1-1-1-1-2-2110-20-2000-2-22200000-1-1-1-11111000010100011-1-1000000
χ4622222-122-1222-1-1-2-1-222-1-12-2-222222-1-1-10000000000-2-2-2-2001-2-11-2-1-1-1-1-1-1-1-2-211020200022-2-200000111111110000-10-1000-1-111000000
χ4722222-122-1222-1-1-2-1-2-2-2-1-12222-2-2-2-2-1-1-100000000002222001-2-11-211-1111122-1-10202000-2-2-2-200000-1-1-1-111-1-10000-10-10001111000000
χ4822222-122-1222-1-1-2-1-2-2-2-1-12222-2-2-2-2-1-1-10000000000-2-2-2-2001-2-11-211-1111122-1-10-20-2000222200000111111-1-10000101000-1-1-1-1000000
χ492222-222-222222202000-22-200-2000022-22-2-220000222-22-22200-20000-2000000000000-2000000-200002-22-200002-22-20000000000000000
χ502222-222-222222202000-22-200-2000022-22-2-22000022-22-222200-20000-2000000000000-2000000-20000-22-220000-22-220000000000000000
χ512222-222-222222202000-22-200-2000022-2-222-20000-2-22-22-2-2-200-20000-20000000000002000000200002-22-20000-22-220000000000000000
χ522222-222-222222202000-22-200-2000022-2-222-20000-2-2-22-22-2-200-20000-2000000000000200000020000-22-2200002-22-20000000000000000
χ5322-2-2222-222-2-2-2-20200022200-20000-2-2-222-2-20000222i−2i−2i2i-2-20020000-20000000000002000000-200002i−2i−2i2i00002i−2i−2i2i0000000000000000
χ5422-2-2222-222-2-2-2-20200022200-20000-2-2-222-2-2000022−2i2i2i−2i-2-20020000-20000000000002000000-20000−2i2i2i−2i0000−2i2i2i−2i0000000000000000
χ5522-2-2222-222-2-2-2-20200022200-20000-2-2-2-2-2220000-2-22i−2i−2i2i220020000-2000000000000-2000000200002i−2i−2i2i0000−2i2i2i−2i0000000000000000
χ5622-2-2222-222-2-2-2-20200022200-20000-2-2-2-2-2220000-2-2−2i2i2i−2i220020000-2000000000000-200000020000−2i2i2i−2i00002i−2i−2i2i0000000000000000
χ5722-2-2-22-122-111-2-22-1-22i−2i-2-112i−2i-1−i−iii1122-22-22i2i−2i−2i-1-10000112-11-212i−2i-1−i−iii−ii2i−2i20-2012i−2i0000-1−i−iii0000-11−ii00000-101−ii0000000000
χ5822-2-2-22-122-111-2-22-1-22i−2i-2-112i−2i-1−i−iii112-22-22−2i−2i2i2i110000-1-12-11-212i−2i-1−i−iii−ii2i−2i-2020-1−2i2i00001ii−i−i0000-11−ii0000010-1i−i0000000000
χ5922-2-2-22-122-111-2-22-1-2−2i2i-2-11−2i2i-1ii−i−i1122-22-2−2i−2i2i2i-1-10000112-11-21−2i2i-1ii−i−ii−i−2i2i20-201−2i2i0000-1ii−i−i0000-11i−i00000-101i−i0000000000
χ6022-2-2-22-122-111-2-22-1-2−2i2i-2-11−2i2i-1ii−i−i112-22-222i2i−2i−2i110000-1-12-11-21−2i2i-1ii−i−ii−i−2i2i-2020-12i−2i00001−i−iii0000-11i−i0000010-1−ii0000000000
χ6122-2-2-22-122-111-2-2-2-122i−2i-2-11−2i2i-1−i−iii1122-22-22i2i−2i−2i-1-1000011-2112-12i−2i-1−i−iiii−i−2i2i-20201−2i2i0000-1−i−iii00001-1i−i0000010-1i−i0000000000
χ6222-2-2-22-122-111-2-2-2-122i−2i-2-11−2i2i-1−i−iii112-22-22−2i−2i2i2i110000-1-1-2112-12i−2i-1−i−iiii−i−2i2i20-20-12i−2i00001ii−i−i00001-1i−i00000-101−ii0000000000
χ6322-2-2-22-122-111-2-2-2-12−2i2i-2-112i−2i-1ii−i−i1122-22-2−2i−2i2i2i-1-1000011-2112-1−2i2i-1ii−i−i−ii2i−2i-202012i−2i0000-1ii−i−i00001-1−ii0000010-1−ii0000000000
χ6422-2-2-22-122-111-2-2-2-12−2i2i-2-112i−2i-1ii−i−i112-22-222i2i−2i−2i110000-1-1-2112-1−2i2i-1ii−i−i−ii2i−2i20-20-1−2i2i00001−i−iii00001-1−ii00000-101i−i0000000000
χ6522-2-2-2-122-12-2-2112-1-22i−2i1-1-22i−2i22i2i−2i−2i11-100000000002i2i−2i−2i00-1211-2−ii-1−i−iii2i−2i−ii020-20002i−2i2-200000−i−iii-11−ii0000-101000−ii-11000000
χ6622-2-2-2-122-12-2-2112-1-22i−2i1-1-22i−2i22i2i−2i−2i11-10000000000−2i−2i2i2i00-1211-2−ii-1−i−iii2i−2i−ii0-202000−2i2i-2200000ii−i−i-11−ii000010-1000i−i1-1000000
χ6722-2-2-2-122-12-2-2112-1-2−2i2i1-1-2−2i2i2−2i−2i2i2i11-100000000002i2i−2i−2i00-1211-2i−i-1ii−i−i−2i2ii−i0-2020002i−2i-2200000−i−iii-11i−i000010-1000−ii1-1000000
χ6822-2-2-2-122-12-2-2112-1-2−2i2i1-1-2−2i2i2−2i−2i2i2i11-10000000000−2i−2i2i2i00-1211-2i−i-1ii−i−i−2i2ii−i020-2000−2i2i2-200000ii−i−i-11i−i0000-101000i−i-11000000
χ6922-2-2-2-122-12-2-211-2-122i−2i1-1-2−2i2i22i2i−2i−2i11-100000000002i2i−2i−2i001-21-12−ii-1−i−iii−2i2ii−i0-202000−2i2i2-200000−i−iii1-1i−i000010-1000i−i-11000000
χ7022-2-2-2-122-12-2-211-2-122i−2i1-1-2−2i2i22i2i−2i−2i11-10000000000−2i−2i2i2i001-21-12−ii-1−i−iii−2i2ii−i020-20002i−2i-2200000ii−i−i1-1i−i0000-101000−ii1-1000000
χ7122-2-2-2-122-12-2-211-2-12−2i2i1-1-22i−2i2−2i−2i2i2i11-100000000002i2i−2i−2i001-21-12i−i-1ii−i−i2i−2i−ii020-2000−2i2i-2200000−i−iii1-1−ii0000-101000i−i1-1000000
χ7222-2-2-2-122-12-2-211-2-12−2i2i1-1-22i−2i2−2i−2i2i2i11-10000000000−2i−2i2i2i001-21-12i−i-1ii−i−i2i−2i−ii0-2020002i−2i2-200000ii−i−i1-1−ii000010-1000−ii-11000000
χ7344444-2-24-2-2-2-2-2-241444-21-244-2-2-2-2-211-20000000000000000-2-21-2-2-2-211111-2-2-2-200000000000000000000111100000000000000000000
χ7444444-2-24-2-2-2-2-2-2414-4-4-21-2-4-4-2222211-20000000000000000-2-21-2-2221-1-1-1-122220000000000000000000011-1-100000000000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.