Finite Group Databasebeta

← Group #11861099

Character table — Group #11861099

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111222222222233334444444444444444446666666666888888888888888812121212121212121212121212121212121212121212161616161818181824242424242424242424363636363636
order12442334661212121288882344466688121212121212121288888824242424666121212121212121212242424242244888888882424242424242424242461224242244661212242424242424244488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1111111111111111111111-11-111-1-111-1-111-1-1-1-111111111-1-1-1-11-11-111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1111-1-1-1-1-1-11111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1-1-1
χ4111111111111111111111-1-1111-1-1-1-1-1-1111111-1-1-1-1111111111-1-11-1-1-1-1-1-1-1-1-11-1111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11-1111-1-111-1-11111
χ5111111111111111111-11-111111-1-1111111111111111111-1-11-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1
χ6111111111111111111-11-111111-1-11111111111-1-1-1-11111-1-11-1-11111111-1-1-1-1-11-11-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-111
χ7111111111111111111-11-1-1-111111-1-1-1-111111111111111-1-11-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111
χ8111111111111111111-11-1-1-111111-1-1-1-1111111-1-1-1-11111-1-11-1-1-1-11-1-1-1-111111-11-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-11-1-1-111111111-1-1
χ911111111111111-1-1-1-1111111111111111111-1-11111-1-1-1-11111111111111111-11-11-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-11-11-1-11111-1-1-1-1-1-1
χ1011111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111
χ1111111111111111-1-1-1-1111-1-1111-1-1-1-1-1-11111-1-11111-1-1-1-111111-1-11-1-1-1-1-1-1-1-11-11-1-1-11111-1-1-1-11111111111-1-1-1-1-1-11-11-1-1-111-1-1-1-11111
χ1211111111111111-1-1-1-1111-1-1111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-111111111-1-1-1-11111-1-1-1-1
χ1311111111111111-1-1-1-1-11-111111-1-111111111-1-11111-1-1-1-1-1-11-1-11111111-1-1-1-11-11-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-11111-1-111
χ1411111111111111-1-1-1-1-11-111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1
χ1511111111111111-1-1-1-1-11-1-1-111111-1-1-1-11111-1-11111-1-1-1-1-1-11-1-1-1-11-1-1-1-11111-11-1111-1-111-1-1-1-111111111-1-111-1-1-1-1-11-1111-1-1-1-11111-1-1
χ1611111111111111-1-1-1-1-11-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1111111-1-1-1-1111111-1-1-1-111
χ1711-1-1-111111-1-1-1-1ii−i−i11-1i−i-1-11i−iii−i−i-1-111i−iii−i−iii−i−i11-1-1-1i−i1ii−i−iii−i−i11-1-1i−ii−i1-11-1i−iii−i−i11-1-11-1i−i1-11-111-1-1i−ii−i1-1-11i−ii−i
χ1811-1-1-111111-1-1-1-1ii−i−i11-1i−i-1-11i−iii−i−i-1-111i−i−i−iiiii−i−i11-1-1-1i−i1ii−i−iii−i−i1-1-11i−i−ii1-1-11i−i−i−iii11-1-11-1i−i-11-111-1-11i−i−ii-111-1−ii−ii
χ1911-1-1-111111-1-1-1-1ii−i−i11-1−ii-1-11−ii−i−iii-1-111i−iii−i−iii−i−i11-1-1-1−ii1−i−iii−i−iii-1-111i−ii−i-11-11i−iii−i−i-1-1111-1−ii1-11-1-1-111i−ii−i-11-11−ii−ii
χ2011-1-1-111111-1-1-1-1ii−i−i11-1−ii-1-11−ii−i−iii-1-111i−i−i−iiiii−i−i11-1-1-1−ii1−i−iii−i−iii-111-1i−i−ii-111-1i−i−i−iii-1-1111-1−ii-11-11-111-1i−i−ii1-11-1i−ii−i
χ2111-1-1-111111-1-1-1-1ii−i−i-111i−i-1-11−iiii−i−i-1-111i−iii−i−iii−i−i-1-1-111i−i1ii−i−i−i−iii-1-111−ii−ii1-11-1i−iii−i−i11-1-1-11−ii1-11-1-1-111−ii−ii1-11-1i−i−ii
χ2211-1-1-111111-1-1-1-1ii−i−i-111i−i-1-11−iiii−i−i-1-111i−i−i−iiiii−i−i-1-1-111i−i1ii−i−i−i−iii-111-1−iii−i1-1-11i−i−i−iii11-1-1-11−ii-11-11-111-1−iii−i-11-11−iii−i
χ2311-1-1-111111-1-1-1-1ii−i−i-111−ii-1-11i−i−i−iii-1-111i−iii−i−iii−i−i-1-1-111−ii1−i−iiiii−i−i11-1-1−ii−ii-11-11i−iii−i−i-1-111-11i−i1-11-111-1-1−ii−ii-111-1−iii−i
χ2411-1-1-111111-1-1-1-1ii−i−i-111−ii-1-11i−i−i−iii-1-111i−i−i−iiiii−i−i-1-1-111−ii1−i−iiiii−i−i1-1-11−iii−i-111-1i−i−i−iii-1-111-11i−i-11-111-1-11−iii−i1-1-11i−i−ii
χ2511-1-1-111111-1-1-1-1−i−iii11-1i−i-1-11i−iii−i−i-1-111−iiii−i−i−i−iii11-1-1-1i−i1ii−i−iii−i−i-111-1−iii−i-111-1−iiii−i−i-1-1111-1i−i-11-11-111-1−iii−i1-11-1−ii−ii
χ2611-1-1-111111-1-1-1-1−i−iii11-1i−i-1-11i−iii−i−i-1-111−ii−i−iii−i−iii11-1-1-1i−i1ii−i−iii−i−i-1-111−ii−ii-11-11−ii−i−iii-1-1111-1i−i1-11-1-1-111−ii−ii-11-11i−ii−i
χ2711-1-1-111111-1-1-1-1−i−iii11-1−ii-1-11−ii−i−iii-1-111−iiii−i−i−i−iii11-1-1-1−ii1−i−iii−i−iii1-1-11−iii−i1-1-11−iiii−i−i11-1-11-1−ii-11-111-1-11−iii−i-111-1i−ii−i
χ2811-1-1-111111-1-1-1-1−i−iii11-1−ii-1-11−ii−i−iii-1-111−ii−i−iii−i−iii11-1-1-1−ii1−i−iii−i−iii11-1-1−ii−ii1-11-1−ii−i−iii11-1-11-1−ii1-11-111-1-1−ii−ii1-1-11−ii−ii
χ2911-1-1-111111-1-1-1-1−i−iii-111i−i-1-11−iiii−i−i-1-111−iiii−i−i−i−iii-1-1-111i−i1ii−i−i−i−iii1-1-11i−i−ii-111-1−iiii−i−i-1-111-11−ii-11-111-1-11i−i−ii1-1-11−iii−i
χ3011-1-1-111111-1-1-1-1−i−iii-111i−i-1-11−iiii−i−i-1-111−ii−i−iii−i−iii-1-1-111i−i1ii−i−i−i−iii11-1-1i−ii−i-11-11−ii−i−iii-1-111-11−ii1-11-111-1-1i−ii−i-111-1i−i−ii
χ3111-1-1-111111-1-1-1-1−i−iii-111−ii-1-11i−i−i−iii-1-111−iiii−i−i−i−iii-1-1-111−ii1−i−iiiii−i−i-111-1i−i−ii1-1-11−iiii−i−i11-1-1-11i−i-11-11-111-1i−i−ii-11-11i−i−ii
χ3211-1-1-111111-1-1-1-1−i−iii-111−ii-1-11i−i−i−iii-1-111−ii−i−iii−i−iii-1-1-111−ii1−i−iiiii−i−i-1-111i−ii−i1-11-1−ii−i−iii11-1-1-11i−i1-11-1-1-111i−ii−i1-11-1−iii−i
χ33222222-122-122-1-100002-12222-1-1222222-1-12-100222200002-1-12-1-1-1-1-1-1-1-12-12-102020022002200-1-1-1-10000-1-1-1-100000-10-100-1-1-1-1000000
χ34222222-122-122-1-100002-12222-1-1222222-1-12-100-2-2-2-200002-1-12-1-1-1-1-1-1-1-12-12-10-20-200-2-200-2-20011110000-1-1-1-100000101001111000000
χ35222222-122-122-1-100002-12-2-22-1-1-2-2-2-2-2-2-1-12-100222200002-1-12-111-11111-21-210-20-2002200-2-200-1-1-1-10000-1-1110000010100-1-111000000
χ36222222-122-122-1-100002-12-2-22-1-1-2-2-2-2-2-2-1-12-100-2-2-2-200002-1-12-111-11111-21-21020200-2-200220011110000-1-11100000-10-10011-1-1000000
χ37222222-122-122-1-10000-2-1-2222-1-1-2-22222-1-12-10022220000-21-1-21-1-1-1-1-1-1-1-21-210-20-200-2-2002200-1-1-1-100001111000001010011-1-1000000
χ38222222-122-122-1-10000-2-1-2222-1-1-2-22222-1-12-100-2-2-2-20000-21-1-21-1-1-1-1-1-1-1-21-210202002200-2-20011110000111100000-10-100-1-111000000
χ39222222-122-122-1-10000-2-1-2-2-22-1-122-2-2-2-2-1-12-10022220000-21-1-2111-111112-12-1020200-2-200-2-200-1-1-1-1000011-1-100000-10-1001111000000
χ40222222-122-122-1-10000-2-1-2-2-22-1-122-2-2-2-2-1-12-100-2-2-2-20000-21-1-2111-111112-12-10-20-200220022001111000011-1-10000010100-1-1-1-1000000
χ4122222-122-12-1-12222222-1222-12-122-1-1-1-1-1-1-12220000-1-1-1-1-12-1-1222-1-1-1-1-1-12-12202022002200-1-10000-1-1-1-1-1-1-1-10000-10-10-1-10000000000
χ4222222-122-12-1-12222222-12-2-2-12-1-2-21111-1-1-12220000-1-1-1-1-12-1-12-2-2-111111-21-2-20-202200-2-200-1-100001111-1-11100001010-1-10000000000
χ4322222-122-12-1-1222222-2-1-222-12-1-2-2-1-1-1-1-1-1-12220000-1-1-1-11-2-11-222-1-1-1-1-11-21-2-20-20-2-2002200-1-10000-1-1-1-1111100001010110000000000
χ4422222-122-12-1-1222222-2-1-2-2-2-12-1221111-1-1-12220000-1-1-1-11-2-11-2-2-2-11111-12-122020-2-200-2-200-1-10000111111-1-10000-10-10110000000000
χ4522222-122-12-1-122-2-2-2-22-1222-12-122-1-1-1-1-1-1-12-2-200001111-12-1-1222-1-1-1-1-1-12-12-20-20-2-200-2-2001100001111-1-1-1-100001010110000000000
χ4622222-122-12-1-122-2-2-2-22-12-2-2-12-1-2-21111-1-1-12-2-200001111-12-1-12-2-2-111111-21-22020-2-2002200110000-1-1-1-1-1-1110000-10-10110000000000
χ4722222-122-12-1-122-2-2-2-2-2-1-222-12-1-2-2-1-1-1-1-1-1-12-2-2000011111-2-11-222-1-1-1-1-11-21-220202200-2-200110000111111110000-10-10-1-10000000000
χ4822222-122-12-1-122-2-2-2-2-2-1-2-2-2-12-1221111-1-1-12-2-2000011111-2-11-2-2-2-11111-12-12-20-2022002200110000-1-1-1-111-1-100001010-1-10000000000
χ492222-222-2222222222202000-2-2200000022-2-2-2-22-22-2222200-20000-200000000000000000000-2-22-22-2000000002-2-220000000000000000
χ502222-222-2222222222202000-2-2200000022-2-2-2-2-22-22222200-20000-200000000000000000000-2-2-22-2200000000-222-20000000000000000
χ512222-222-2222222-2-2-2-202000-2-2200000022-2-2222-22-2-2-2-2-200-20000-200000000000000000000222-22-200000000-222-20000000000000000
χ522222-222-2222222-2-2-2-202000-2-2200000022-2-222-22-22-2-2-2-200-20000-20000000000000000000022-22-22000000002-2-220000000000000000
χ5322-2-2222-222-2-2-2-22i2i−2i−2i02000222000000-2-2-2-2−2i2i2i−2i−2i2i2i2i−2i−2i0020000-200000000000000000000−2i2i2i−2i−2i2i0000000022-2-20000000000000000
χ5422-2-2222-222-2-2-2-22i2i−2i−2i02000222000000-2-2-2-2−2i2i−2i2i2i−2i2i2i−2i−2i0020000-200000000000000000000−2i2i−2i2i2i−2i00000000-2-2220000000000000000
χ5522-2-2222-222-2-2-2-2−2i−2i2i2i02000222000000-2-2-2-22i−2i2i−2i−2i2i−2i−2i2i2i0020000-2000000000000000000002i−2i2i−2i−2i2i00000000-2-2220000000000000000
χ5622-2-2222-222-2-2-2-2−2i−2i2i2i02000222000000-2-2-2-22i−2i−2i2i2i−2i−2i−2i2i2i0020000-2000000000000000000002i−2i−2i2i2i−2i0000000022-2-20000000000000000
χ5722-2-2-22-122-1-2-21100002-1-22i−2i-21-12i−2i2i2i−2i−2i112-1002i2i−2i−2i00002-11-21−ii-1−i−iii2i−i−2ii020-2002i−2i002-200−i−iii0000-11−ii00000-10100−ii-11000000
χ5822-2-2-22-122-1-2-21100002-1-22i−2i-21-12i−2i2i2i−2i−2i112-100−2i−2i2i2i00002-11-21−ii-1−i−iii2i−i−2ii0-20200−2i2i00-2200ii−i−i0000-11−ii0000010-100i−i1-1000000
χ5922-2-2-22-122-1-2-21100002-1-2−2i2i-21-1−2i2i−2i−2i2i2i112-1002i2i−2i−2i00002-11-21i−i-1ii−i−i−2ii2i−i0-202002i−2i00-2200−i−iii0000-11i−i0000010-100−ii1-1000000
χ6022-2-2-22-122-1-2-21100002-1-2−2i2i-21-1−2i2i−2i−2i2i2i112-100−2i−2i2i2i00002-11-21i−i-1ii−i−i−2ii2i−i020-200−2i2i002-200ii−i−i0000-11i−i00000-10100i−i-11000000
χ6122-2-2-22-122-1-2-2110000-2-122i−2i-21-1−2i2i2i2i−2i−2i112-1002i2i−2i−2i0000-2112-1−ii-1−i−iii−2ii2i−i0-20200−2i2i002-200−i−iii00001-1i−i0000010-100i−i-11000000
χ6222-2-2-22-122-1-2-2110000-2-122i−2i-21-1−2i2i2i2i−2i−2i112-100−2i−2i2i2i0000-2112-1−ii-1−i−iii−2ii2i−i020-2002i−2i00-2200ii−i−i00001-1i−i00000-10100−ii1-1000000
χ6322-2-2-22-122-1-2-2110000-2-12−2i2i-21-12i−2i−2i−2i2i2i112-1002i2i−2i−2i0000-2112-1i−i-1ii−i−i2i−i−2ii020-200−2i2i00-2200−i−iii00001-1−ii00000-10100i−i1-1000000
χ6422-2-2-22-122-1-2-2110000-2-12−2i2i-21-12i−2i−2i−2i2i2i112-100−2i−2i2i2i0000-2112-1i−i-1ii−i−i2i−i−2ii0-202002i−2i002-200ii−i−i00001-1−ii0000010-100−ii-11000000
χ6522-2-2-2-122-1211-2-22i2i−2i−2i2-1-22i−2i1-2-12i−2i−i−iii11-122i−2i0000−i−iii-1211-22i−2i-1−i−iii−i2ii−2i20-202i−2i002-200−ii0000-1-111-11−ii0000-1010−ii0000000000
χ6622-2-2-2-122-1211-2-22i2i−2i−2i2-1-2−2i2i1-2-1−2i2iii−i−i11-122i−2i0000−i−iii-1211-2−2i2i-1ii−i−ii−2i−i2i-20202i−2i00-2200−ii000011-1-1-11i−i000010-10−ii0000000000
χ6722-2-2-2-122-1211-2-22i2i−2i−2i-2-122i−2i1-2-1−2i2i−i−iii11-122i−2i0000−i−iii1-21-122i−2i-1−i−iiii−2i−i2i-2020−2i2i002-200−ii0000-1-1111-1i−i000010-10i−i0000000000
χ6822-2-2-2-122-1211-2-22i2i−2i−2i-2-12−2i2i1-2-12i−2iii−i−i11-122i−2i0000−i−iii1-21-12−2i2i-1ii−i−i−i2ii−2i20-20−2i2i00-2200−ii000011-1-11-1−ii0000-1010i−i0000000000
χ6922-2-2-2-122-1211-2-2−2i−2i2i2i2-1-22i−2i1-2-12i−2i−i−iii11-12−2i2i0000ii−i−i-1211-22i−2i-1−i−iii−i2ii−2i-2020−2i2i00-2200i−i000011-1-1-11−ii000010-10i−i0000000000
χ7022-2-2-2-122-1211-2-2−2i−2i2i2i2-1-2−2i2i1-2-1−2i2iii−i−i11-12−2i2i0000ii−i−i-1211-2−2i2i-1ii−i−ii−2i−i2i20-20−2i2i002-200i−i0000-1-111-11i−i0000-1010i−i0000000000
χ7122-2-2-2-122-1211-2-2−2i−2i2i2i-2-122i−2i1-2-1−2i2i−i−iii11-12−2i2i0000ii−i−i1-21-122i−2i-1−i−iiii−2i−i2i20-202i−2i00-2200i−i000011-1-11-1i−i0000-1010−ii0000000000
χ7222-2-2-2-122-1211-2-2−2i−2i2i2i-2-12−2i2i1-2-12i−2iii−i−i11-12−2i2i0000ii−i−i1-21-12−2i2i-1ii−i−i−i2ii−2i-20202i−2i002-200i−i0000-1-1111-1−ii000010-10−ii0000000000
χ7344444-2-24-2-2-2-2-2-2000041444-2-2144-2-2-2-211-2-20000000000-2-21-2-2-2-211111-2-2-2-20000000000000000000000111100000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.