Finite Group Databasebeta

← Group #11861213

Character table — Group #11861213

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222224444444444444444444466666666666666668888888888888812121212121212121212121212121212121212121212121216161616181818182424242424242424363636363636
order12442334668888121212122234466612121212242424242424242422446688881212242424246666612121212122424242422444468888881212121212242424242424661212888866121224242424448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1111111111111111111-1-11-1-1-1-1111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-11111-1-1111111111111111111-1-1-1-111-11111-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111
χ5111111111111111111-1-11-1-11111111111111111111111111111111-1-1-1-11-1-1-1-111111-1-1-1-1111-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1
χ6111111111111111111-1-11-1-1111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ7111111111111111111-1-11-1-1111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ8111111111111111111-1-11-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1
χ91111111111-1-1-1-111111-111-11111111-1-1-1-1-1-1-1-111111111111111111-11-111-11-11-1-1-1-11-11-1-1-1111-1-1-1-11-1-1-1-111-1-1-1-11-11-111111-11-111-1-1-1-111-1-1
χ101111111111-1-1-1-111111-111-11111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11-11-111-11-11-1-1-1-11-11-1111-1-111-1-111111-1-1-1-1-1-11-11-1-1-1-1-11-11-1-1-11111-1-111
χ111111111111-1-1-1-111111-111-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111-11-111-11-11-1-1-1-1-11-11-1-1-111-1-111-1-1-1-1-11111111-11-1-1-1-1-1-11-1111-1-111-1-111
χ121111111111-1-1-1-111111-111-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-11-11-1-1-1-1-11-1111-1-1-11111-11111-1-111111-11-11111-11-11-1-111-1-111-1-1
χ131111111111-1-1-1-11111-111-111111111-1-1-1-1-1-1-1-11111111111111111-11-111-11-111-1-1-1-1-11-11-1-11-1-111-1-11-1-1-1-111-1-1-1-1-11-111111-11-11-1-111-1-1-1-111
χ141111111111-1-1-1-11111-111-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-11-111-11-111-1-1-1-1-11-1111111-1-1-1-111111-1-1-1-1-1-1-11-11-1-1-1-1-11-1111-1-11111-1-1
χ151111111111-1-1-1-11111-111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-11-111-11-111-1-1-1-11-11-1-1-1-1-1-11111-1-1-1-1-1111111-11-11-1-1-1-11-11-1-1-1111111-1-1
χ161111111111-1-1-1-11111-111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-11-111-1-1-1-11-11-111-111-1-111-11111-1-11111-11-1111111-11-111-1-1-1-1-1-111
χ1711-1-1-11111111-1-1-1-1-1-1111-1-1-1-11-1-11111-1-111-1-11-11-111ii−i−i-1-1ii−i−i1111-1-1-1-1-1111-1-111-1-1i−i-1i−ii−i1-11ii−i−ii−i11-1-111-1-1ii−i−i11-1-1i−ii−ii−ii−ii−i
χ1811-1-1-11111111-1-1-1-1-1-1111-1-1-1-11-1-11111-1-111-1-11-11-111−i−iii-1-1−i−iii1111-1-1-1-1-1111-1-111-1-1−ii-1−ii−ii1-11−i−iii−ii11-1-111-1-1−i−iii11-1-1−ii−ii−ii−ii−ii
χ1911-1-1-11111111-1-1-1-1-1-1111-1-1-1-11-1-11111-1-111-1-1-11-11-1-1ii−i−i11ii−i−i1111-1-1-1-1-1111-1-1-1-111i−i1i−ii−i-11-1ii−i−ii−i-1-11111-1-1−i−iii-1-111i−ii−i−ii−ii−ii
χ2011-1-1-11111111-1-1-1-1-1-1111-1-1-1-11-1-11111-1-111-1-1-11-11-1-1−i−iii11−i−iii1111-1-1-1-1-1111-1-1-1-111−ii1−ii−ii-11-1−i−iii−ii-1-11111-1-1ii−i−i-1-111−ii−iii−ii−ii−i
χ2111-1-1-11111111-1-1-1-1-1-1-1-1111-1-11-1-11111-1-111-1-11-11-111ii−i−i-1-1ii−i−i-1-1-1-1-11111111-1-1-1-111i−i-1−ii−ii1-11ii−i−ii−i11-1-1-1-111ii−i−i-1-111−ii−iii−i−ii−ii
χ2211-1-1-11111111-1-1-1-1-1-1-1-1111-1-11-1-11111-1-111-1-11-11-111−i−iii-1-1−i−iii-1-1-1-1-11111111-1-1-1-111−ii-1i−ii−i1-11−i−iii−ii11-1-1-1-111−i−iii-1-111i−ii−i−iii−ii−i
χ2311-1-1-11111111-1-1-1-1-1-1-1-1111-1-11-1-11111-1-111-1-1-11-11-1-1ii−i−i11ii−i−i-1-1-1-1-11111111-1-111-1-1i−i1−ii−ii-11-1ii−i−ii−i-1-111-1-111−i−iii11-1-1−ii−ii−iii−ii−i
χ2411-1-1-11111111-1-1-1-1-1-1-1-1111-1-11-1-11111-1-111-1-1-11-11-1-1−i−iii11−i−iii-1-1-1-1-11111111-1-111-1-1−ii1i−ii−i-11-1−i−iii−ii-1-111-1-111ii−i−i11-1-1i−ii−ii−i−ii−ii
χ2511-1-1-111111-1-111-1-1-1-11-11-11-1-11-1-111-1-111-1-1111-11-111ii−i−i-1-1ii−i−i1-11-1-1-11-111-1-1111-1-11−ii-1i−i−ii-111−i−iiii−i-1-1111-1-11ii−i−i1-1-11i−i−ii−iii−i−ii
χ2611-1-1-111111-1-111-1-1-1-11-11-11-1-11-1-111-1-111-1-1111-11-111−i−iii-1-1−i−iii1-11-1-1-11-111-1-1111-1-11i−i-1−iii−i-111ii−i−i−ii-1-1111-1-11−i−iii1-1-11−iii−ii−i−iii−i
χ2711-1-1-111111-1-111-1-1-1-11-11-11-1-11-1-111-1-111-1-111-11-11-1-1ii−i−i11ii−i−i1-11-1-1-11-111-1-111-111-1−ii1i−i−ii1-1-1−i−iiii−i11-1-11-1-11−i−iii-111-1i−i−iii−i−iii−i
χ2811-1-1-111111-1-111-1-1-1-11-11-11-1-11-1-111-1-111-1-111-11-11-1-1−i−iii11−i−iii1-11-1-1-11-111-1-111-111-1i−i1−iii−i1-1-1ii−i−i−ii11-1-11-1-11ii−i−i-111-1−iii−i−iii−i−ii
χ2911-1-1-111111-1-111-1-1-1-1-1111-1-1-11-1-111-1-111-1-1111-11-111ii−i−i-1-1ii−i−i-11-11-11-11-11-1-111-111-1−ii-1−iii−i-111−i−iiii−i-1-111-111-1ii−i−i-111-1−iii−i−ii−iii−i
χ3011-1-1-111111-1-111-1-1-1-1-1111-1-1-11-1-111-1-111-1-1111-11-111−i−iii-1-1−i−iii-11-11-11-11-11-1-111-111-1i−i-1i−i−ii-111ii−i−i−ii-1-111-111-1−i−iii-111-1i−i−iii−ii−i−ii
χ3111-1-1-111111-1-111-1-1-1-1-1111-1-1-11-1-111-1-111-1-111-11-11-1-1ii−i−i11ii−i−i-11-11-11-11-11-1-1111-1-11−ii1−iii−i1-1-1−i−iiii−i11-1-1-111-1−i−iii1-1-11−iii−ii−ii−i−ii
χ3211-1-1-111111-1-111-1-1-1-1-1111-1-1-11-1-111-1-111-1-111-11-11-1-1−i−iii11−i−iii-11-11-11-11-11-1-1111-1-11i−i1i−i−ii1-1-1ii−i−i−ii11-1-1-111-1ii−i−i1-1-11i−i−ii−ii−iii−i
χ33222222-122-12222-1-12222-122-12-1-1-12-12222-1-1-1-12222-1-10000-1-1000022-1-1-122-1-1-1-1-1-1-1222200-1000022-1000000-1-1-1-1-1-1-1-10000-1-1-1-10000000000
χ34222222-122-12222-1-12222-122-12-1-1-12-12222-1-1-1-1-2-2-2-211000011000022-1-1-122-1-1-1-1-1-1-1-2-2-2-20010000-2-210000001111-1-1-1-1000011110000000000
χ35222222-122-12222-1-122-2-2-1-2-2-12-1-1-12-12222-1-1-1-12222-1-10000-1-10000-2-211-1-2-211-1-1-1-1-1-2-2-2-200-1000022-1000000-1-1-1-11111000011110000000000
χ36222222-122-12222-1-122-2-2-1-2-2-12-1-1-12-12222-1-1-1-1-2-2-2-2110000110000-2-211-1-2-211-1-1-1-1-122220010000-2-21000000111111110000-1-1-1-10000000000
χ37222222-122-1-2-2-2-2-1-1222-2-12-2-12-1-1-12-1-2-2-2-211112222-1-10000-1-100002-2-11-12-2-11-111112-22-200-10000-2-2-10000001111-11-110000-11-110000000000
χ38222222-122-1-2-2-2-2-1-1222-2-12-2-12-1-1-12-1-2-2-2-21111-2-2-2-21100001100002-2-11-12-2-11-11111-22-220010000221000000-1-1-1-1-11-1100001-11-10000000000
χ39222222-122-1-2-2-2-2-1-122-22-1-22-12-1-1-12-1-2-2-2-211112222-1-10000-1-10000-221-1-1-221-1-11111-22-2200-10000-2-2-100000011111-11-100001-11-10000000000
χ40222222-122-1-2-2-2-2-1-122-22-1-22-12-1-1-12-1-2-2-2-21111-2-2-2-2110000110000-221-1-1-221-1-111112-22-20010000221000000-1-1-1-11-11-10000-11-110000000000
χ4122222-122-12222222-1-122-1222-1-1-1-1-12-1-1-1-12222000000222200-1-1-1-1-1-122-1-1-122-1-1-1-1-100002202222000-1-1-1-1-1-10000-1-1-1-100000000-1-1-1-1000000
χ4222222-122-12222222-1-122-1222-1-1-1-1-12-1-1-1-12222000000-2-2-2-2001111-1-122-1-1-122-1-1-1-1-10000-2-20-2-2-2-20001111110000-1-1-1-1000000001111000000
χ4322222-122-12222222-1-1-2-2-1-2-22-1-1-1-1-12-1-1-1-12222000000222200-1-1-1-111-2-2-111-2-2-1-1-1-1-10000220-2-2-2-2000-1-1-1-1-1-100001111000000001111000000
χ4422222-122-12222222-1-1-2-2-1-2-22-1-1-1-1-12-1-1-1-12222000000-2-2-2-200111111-2-2-111-2-2-1-1-1-1-10000-2-2022220001111110000111100000000-1-1-1-1000000
χ4522222-122-12-2-2-2-222-1-12-2-12-22-1-1-1-1-121111-2-2-2-2000000222200-1-1-1-1-112-2-1-112-2-111110000-2-2022-2-20001111-1-10000-11-1100000000-1-111000000
χ4622222-122-12-2-2-2-222-1-12-2-12-22-1-1-1-1-121111-2-2-2-2000000-2-2-2-2001111-112-2-1-112-2-111110000220-2-222000-1-1-1-1110000-11-110000000011-1-1000000
χ4722222-122-12-2-2-2-222-1-1-22-1-222-1-1-1-1-121111-2-2-2-2000000222200-1-1-1-11-1-22-11-1-22-111110000-2-20-2-2220001111-1-100001-11-10000000011-1-1000000
χ4822222-122-12-2-2-2-222-1-1-22-1-222-1-1-1-1-121111-2-2-2-2000000-2-2-2-20011111-1-22-11-1-22-11111000022022-2-2000-1-1-1-11100001-11-100000000-1-111000000
χ492222-222-2220000222200200-2-2222-2-2000000002-2-22222-22-22222220000-20000-20000000000-2000000-20000-2-2000000002-22-200000000000000
χ502222-222-2220000222200200-2-2222-2-2000000002-2-2222-22-2222-2-2-2-20000-20000-20000000000-2000000-200002200000000-22-2200000000000000
χ512222-222-2220000222200200-2-2222-2-200000000-222-2-2-22-22-2-2-222220000-20000-20000000000200000020000-2-200000000-22-2200000000000000
χ522222-222-2220000222200200-2-2222-2-200000000-222-2-2-2-22-22-2-2-2-2-2-20000-20000-2000000000020000002000022000000002-22-200000000000000
χ5322-2-2222-2220000-2-2-2-200200222-2-2-2-20000000022-2-2222i−2i−2i2i-2-22i2i−2i−2i000020000-200000000002000000-20000−2i2i000000002i−2i−2i2i00000000000000
χ5422-2-2222-2220000-2-2-2-200200222-2-2-2-20000000022-2-222−2i2i2i−2i-2-2−2i−2i2i2i000020000-200000000002000000-200002i−2i00000000−2i2i2i−2i00000000000000
χ5522-2-2222-2220000-2-2-2-200200222-2-2-2-200000000-2-222-2-22i−2i−2i2i222i2i−2i−2i000020000-20000000000-200000020000−2i2i00000000−2i2i2i−2i00000000000000
χ5622-2-2222-2220000-2-2-2-200200222-2-2-2-200000000-2-222-2-2−2i2i2i−2i22−2i−2i2i2i000020000-20000000000-2000000200002i−2i000000002i−2i−2i2i00000000000000
χ5722-2-2-22-122-122-2-211-2-222-1-2-21-2-1112-122-2-2-1-1112-22-2-1-1000011000022-1-11-2-211-1-1-11122-2-200100002-2-1000000-1-111-1-1110000-1-1110000000000
χ5822-2-2-22-122-122-2-211-2-222-1-2-21-2-1112-122-2-2-1-111-22-22110000-1-1000022-1-11-2-211-1-1-111-2-22200-10000-22100000011-1-1-1-111000011-1-10000000000
χ5922-2-2-22-122-122-2-211-2-2-2-2-1221-2-1112-122-2-2-1-1112-22-2-1-10000110000-2-211122-1-1-1-1-111-2-22200100002-2-1000000-1-11111-1-1000011-1-10000000000
χ6022-2-2-22-122-122-2-211-2-2-2-2-1221-2-1112-122-2-2-1-111-22-22110000-1-10000-2-211122-1-1-1-1-11122-2-200-10000-22100000011-1-111-1-10000-1-1110000000000
χ6122-2-2-22-122-1-2-22211-2-22-2-1-221-2-1112-1-2-22211-1-12-22-2-1-100001100002-2-111-221-1-111-1-12-2-220010000-22-100000011-1-1-111-10000-111-10000000000
χ6222-2-2-22-122-1-2-22211-2-22-2-1-221-2-1112-1-2-22211-1-1-22-22110000-1-100002-2-111-221-1-111-1-1-222-200-100002-21000000-1-111-111-100001-1-110000000000
χ6322-2-2-22-122-1-2-22211-2-2-22-12-21-2-1112-1-2-22211-1-12-22-2-1-10000110000-221-112-2-11-111-1-1-222-20010000-22-100000011-1-11-1-1100001-1-110000000000
χ6422-2-2-22-122-1-2-22211-2-2-22-12-21-2-1112-1-2-22211-1-1-22-22110000-1-10000-221-112-2-11-111-1-12-2-2200-100002-21000000-1-1111-1-110000-111-10000000000
χ6522-2-2-2-122-1222-2-2-2-21122-1-2-2-21-111-12-1-11122-2-20000002i2i−2i−2i00−i−iii-1-122111-2-2-1-1-11100002i−2i02i−2i2i−2i000−i−iii−ii0000-1-11100000000−ii−ii000000
χ6622-2-2-2-122-1222-2-2-2-21122-1-2-2-21-111-12-1-11122-2-2000000−2i−2i2i2i00ii−i−i-1-122111-2-2-1-1-1110000−2i2i0−2i2i−2i2i000ii−i−ii−i0000-1-11100000000i−ii−i000000
χ6722-2-2-2-122-1222-2-2-2-211-2-2-122-21-111-12-1-11122-2-20000002i2i−2i−2i00−i−iii11-2-21-1-122-1-1-11100002i−2i0−2i2i−2i2i000−i−iii−ii000011-1-100000000i−ii−i000000
χ6822-2-2-2-122-1222-2-2-2-211-2-2-122-21-111-12-1-11122-2-2000000−2i−2i2i2i00ii−i−i11-2-21-1-122-1-1-1110000−2i2i02i−2i2i−2i000ii−i−ii−i000011-1-100000000−ii−ii000000
χ6922-2-2-2-122-12-2-222-2-2112-2-1-22-21-111-1211-1-1-2-2220000002i2i−2i−2i00−i−iii-112-211-1-22-111-1-10000−2i2i02i−2i−2i2i000ii−i−i−ii0000-111-100000000−iii−i000000
χ7022-2-2-2-122-12-2-222-2-2112-2-1-22-21-111-1211-1-1-2-222000000−2i−2i2i2i00ii−i−i-112-211-1-22-111-1-100002i−2i0−2i2i2i−2i000−i−iiii−i0000-111-100000000i−i−ii000000
χ7122-2-2-2-122-12-2-222-2-211-22-12-2-21-111-1211-1-1-2-2220000002i2i−2i−2i00−i−iii1-1-221-112-2-111-1-10000−2i2i0−2i2i2i−2i000ii−i−i−ii00001-1-1100000000i−i−ii000000
χ7222-2-2-2-122-12-2-222-2-211-22-12-2-21-111-1211-1-1-2-222000000−2i−2i2i2i00ii−i−i1-1-221-112-2-111-1-100002i−2i02i−2i−2i2i000−i−iiii−i00001-1-1100000000−iii−i000000
χ7344444-2-24-2-24444-2-2-2-244144-2-2111-2-2-2-2-2-2-2-2-2-20000000000000000-2-2-2-21-2-2-2-2111110000000000000000000000001111000000000000000000
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χ7544444-2-24-2-2-4-4-4-4-2-2-2-24-414-4-2-2111-2-2222222220000000000000000-22-221-22-221-1-1-1-10000000000000000000000001-11-1000000000000000000
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χ994-4−4i4i0440-4-422−222i2−2i2−4i4i−4i4i0040000-4−4i4i0022−222i2−2i222−222i2−2i20000000000000000000000000022−222i2−2i20000000000000000000000000000000000000000000000
χ1004-4−4i4i0440-4-4−2222−2i22i2−4i4i−4i4i0040000-4−4i4i00−2222−2i22i2−2222−2i22i200000000000000000000000000−2222−2i22i20000000000000000000000000000000000000000000000
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χ1074-4−4i4i0-2402-4−2222−2i22i2−4i4i2i−2i00-2000022i−2i002−2i2−i2−2222−2i22i20000000000002ζ5−2ζ13−2ζ5+2ζ13−2ζ7+2ζ232ζ7−2ζ2300000000002−2i2−i200000000000000−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ220000000000000000000000000000
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χ1128-88i−8i0-4-4044−42424i2−4i2−4i4i−4i4i0020000-22i−2i0022−22−2i22i222−22−2i22i200000000000000000000000000−22i2−i20000000000000000000000000000000000000000000000
χ1138-8−8i8i0-4-404442−424i2−4i24i−4i4i−4i0020000-2−2i2i00−2222−2i22i2−2222−2i22i2000000000000000000000000002−2i2−i20000000000000000000000000000000000000000000000
χ1148-8−8i8i0-4-4044−4242−4i24i24i−4i4i−4i0020000-2−2i2i0022−222i2−2i222−222i2−2i200000000000000000000000000−22−i2i20000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.