Finite Group Databasebeta

← Group #11861221

Character table — Group #11861221

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size11112222222222222222222222222244444444444444444444444444444444444444444444444444444444441212121212121212121212121212121218181818181818182424242424242424242424242424242436363636
order12442334668888888812121212242424242424242434466666121212121212121212121212121212121212121212122424242424242424242424242424242424242424242424242424242422224444888888882244888866661212121224242424242424244488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-11111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-111-1-111-1-1111111111-11-11-11-111-1-111-1-1-1-1-1-1
χ611111111111111-1-1-1-11111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1111-1-1-1-111-1-1-1-1-1-1-1-11-1-111-1-1111-1-1-1-1111111
χ711111111111111-1-1-1-11111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-11111-1-11111
χ811111111111111-1-1-1-11111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-1-111-1-11111111111-11-11-11-11-1-111-1-111-1-1-1-1
χ91111111111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111
χ101111111111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-1111111-1-1
χ111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-111-1-1
χ121111111111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111
χ131111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-1-1-111-1-1111111-1-1-1-11-11-11-11-1-1-111-1-11111-1-1
χ141111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-11-1-11111-1-1-1-1-1-111111-1-111-1-11-1-11111-1-1-1-111
χ151111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-111-1-1-1-111-1-1-1-11111-111-1-111-111-1-1-1-111-1-111
χ161111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1111-1-111-1-11111-1-1-1-1-11-11-11-1111-1-111-1-111-1-1
χ1711-1-1-111111ii−i−i11-1-1-1-1-1-1iiii−i−i−i−i1i−i-1-11-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1ii−i−iiiii−i−i−i−i11111111-1-1-1-1-1-1-1-11111-1-1-1-1i−ii−ii−ii−i1-11-1ii−i−i1111-1-1-1-1i−ii−ii−ii−ii−i1-1
χ1811-1-1-111111ii−i−i11-1-1-1-1-1-1iiii−i−i−i−i1i−i-1-11-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1ii−i−iiiii−i−i−i−i11111111-1-1-1-1-1-1-1-111-1-1-1-111i−ii−i−ii−ii-11-11−i−iii11-1-1-1-111i−ii−i−ii−ii−ii-11
χ1911-1-1-111111ii−i−i11-1-1-1-1-1-1iiii−i−i−i−i1i−i-1-11-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1ii−i−iiiii−i−i−i−i11111111-1-1-1-1-1-1-1-1-1-11111-1-1−ii−iii−ii−i-11-11−i−iii-1-11111-1-1−ii−iii−ii−i−ii-11
χ2011-1-1-111111ii−i−i11-1-1-1-1-1-1iiii−i−i−i−i1i−i-1-11-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1ii−i−iiiii−i−i−i−i11111111-1-1-1-1-1-1-1-1-1-1-1-11111−ii−ii−ii−ii1-11-1ii−i−i-1-1-1-11111−ii−ii−ii−iii−i1-1
χ2111-1-1-111111ii−i−i-1-111-1-1-1-1iiii−i−i−i−i1−ii-1-11-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1ii−i−iiiii−i−i−i−i-1-1-1-1-1-1-1-1111111111-11-1-11-11i−i−iii−i−ii1-11-1ii−i−i1-11-1-11-11i−i−iii−i−ii−ii-11
χ2211-1-1-111111ii−i−i-1-111-1-1-1-1iiii−i−i−i−i1−ii-1-11-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1ii−i−iiiii−i−i−i−i-1-1-1-1-1-1-1-1111111111-1-11-111-1i−i−ii−iii−i-11-11−i−iii1-1-11-111-1i−i−ii−iii−ii−i1-1
χ2311-1-1-111111ii−i−i-1-111-1-1-1-1iiii−i−i−i−i1−ii-1-11-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1ii−i−iiiii−i−i−i−i-1-1-1-1-1-1-1-111111111-111-11-1-11−iii−ii−i−ii-11-11−i−iii-111-11-1-11−iii−ii−i−iii−i1-1
χ2411-1-1-111111ii−i−i-1-111-1-1-1-1iiii−i−i−i−i1−ii-1-11-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1ii−i−iiiii−i−i−i−i-1-1-1-1-1-1-1-111111111-11-111-11-1−iii−i−iii−i1-11-1ii−i−i-11-111-11-1−iii−i−iii−i−ii-11
χ2511-1-1-111111−i−iii11-1-1-1-1-1-1−i−i−i−iiiii1−ii-1-11-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1−i−iii−i−i−i−iiiii11111111-1-1-1-1-1-1-1-11111-1-1-1-1−ii−ii−ii−ii1-11-1−i−iii1111-1-1-1-1−ii−ii−ii−ii−ii1-1
χ2611-1-1-111111−i−iii11-1-1-1-1-1-1−i−i−i−iiiii1−ii-1-11-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1−i−iii−i−i−i−iiiii11111111-1-1-1-1-1-1-1-111-1-1-1-111−ii−iii−ii−i-11-11ii−i−i11-1-1-1-111−ii−iii−ii−ii−i-11
χ2711-1-1-111111−i−iii11-1-1-1-1-1-1−i−i−i−iiiii1−ii-1-11-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1−i−iii−i−i−i−iiiii11111111-1-1-1-1-1-1-1-1-1-11111-1-1i−ii−i−ii−ii-11-11ii−i−i-1-11111-1-1i−ii−i−ii−iii−i-11
χ2811-1-1-111111−i−iii11-1-1-1-1-1-1−i−i−i−iiiii1−ii-1-11-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1−i−iii−i−i−i−iiiii11111111-1-1-1-1-1-1-1-1-1-1-1-11111i−ii−ii−ii−i1-11-1−i−iii-1-1-1-11111i−ii−ii−ii−i−ii1-1
χ2911-1-1-111111−i−iii-1-111-1-1-1-1−i−i−i−iiiii1i−i-1-11-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1−i−iii−i−i−i−iiiii-1-1-1-1-1-1-1-1111111111-11-1-11-11−iii−i−iii−i1-11-1−i−iii1-11-1-11-11−iii−i−iii−ii−i-11
χ3011-1-1-111111−i−iii-1-111-1-1-1-1−i−i−i−iiiii1i−i-1-11-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1−i−iii−i−i−i−iiiii-1-1-1-1-1-1-1-1111111111-1-11-111-1−iii−ii−i−ii-11-11ii−i−i1-1-11-111-1−iii−ii−i−ii−ii1-1
χ3111-1-1-111111−i−iii-1-111-1-1-1-1−i−i−i−iiiii1i−i-1-11-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1−i−iii−i−i−i−iiiii-1-1-1-1-1-1-1-111111111-111-11-1-11i−i−ii−iii−i-11-11ii−i−i-111-11-1-11i−i−ii−iii−i−ii1-1
χ3211-1-1-111111−i−iii-1-111-1-1-1-1−i−i−i−iiiii1i−i-1-11-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1−i−iii−i−i−i−iiiii-1-1-1-1-1-1-1-111111111-11-111-11-1i−i−iii−i−ii1-11-1−i−iii-11-111-11-1i−i−iii−i−iii−i-11
χ33222222-122-12222222222-1-122-1-122-1-1-1222-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-1-1-12-12-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100220022000022220000000000-1-100-1-10000-1-1-1-10000
χ34222222-122-12222222222-1-122-1-122-1-1-1222-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-1-1-12-12-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100-2-200-2-20000-2-2-2-20000000000110011000011110000
χ35222222-122-12222-2-2-2-222-1-122-1-122-1-1-1-2-22-1-1-1-1-2-2111111-2-21111112-1-1-1-1-12-12-1-1-1-1-1-1-1-1-1-2-2111111-2-2111111002-2002-2000022-2-20000000000-1100-110000-1-1110000
χ36222222-122-12222-2-2-2-222-1-122-1-122-1-1-1-2-22-1-1-1-1-2-2111111-2-21111112-1-1-1-1-12-12-1-1-1-1-1-1-1-1-1-2-2111111-2-211111100-2200-220000-2-22200000000001-1001-1000011-1-10000
χ37222222-122-1-2-2-2-2222222-1-1-2-211-2-211-1-2-22-1-1-1-1-2-2111111-2-21111112-1-1-1-1-1-21-211111111122-1-1-1-1-1-122-1-1-1-1-1-1002200220000-2-2-2-20000000000-1-100-1-1000011110000
χ38222222-122-1-2-2-2-2222222-1-1-2-211-2-211-1-2-22-1-1-1-1-2-2111111-2-21111112-1-1-1-1-1-21-211111111122-1-1-1-1-1-122-1-1-1-1-1-100-2-200-2-20000222200000000001100110000-1-1-1-10000
χ39222222-122-1-2-2-2-2-2-2-2-222-1-1-2-211-2-211-1222-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-1-1-1-21-2111111111-2-2111111-2-2111111002-2002-20000-2-2220000000000-1100-11000011-1-10000
χ40222222-122-1-2-2-2-2-2-2-2-222-1-1-2-211-2-211-1222-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-1-1-1-21-2111111111-2-2111111-2-211111100-2200-22000022-2-200000000001-1001-10000-1-1110000
χ4122222-122-1222222222-1-122-1-122-1-122-122-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-1-1-12-12-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1220022002222000000000000-1-100-1-100-1-1-1-100000000
χ4222222-122-1222222222-1-122-1-122-1-122-122-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-1-1-12-12-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-200-2-200-2-2-2-200000000000011001100111100000000
χ4322222-122-122222-2-2-2-2-1-122-1-122-1-122-1-2-2-12-1-1-111-2-2111111-2-21111-12-1-1-1-1-12-12-1-1-1-1-1-1-1-111-2-2111111-2-211112-2002-20022-2-2000000000000-1100-1100-1-11100000000
χ4422222-122-122222-2-2-2-2-1-122-1-122-1-122-1-2-2-12-1-1-111-2-2111111-2-21111-12-1-1-1-1-12-12-1-1-1-1-1-1-1-111-2-2111111-2-21111-2200-2200-2-2220000000000001-1001-10011-1-100000000
χ4522222-122-12-2-2-2-22222-1-12211-2-211-2-2-1-2-2-12-1-1-111-2-2111111-2-21111-12-1-1-1-11-21-211111111-1-122-1-1-1-1-1-122-1-1-1-122002200-2-2-2-2000000000000-1-100-1-100111100000000
χ4622222-122-12-2-2-2-22222-1-12211-2-211-2-2-1-2-2-12-1-1-111-2-2111111-2-21111-12-1-1-1-11-21-211111111-1-122-1-1-1-1-1-122-1-1-1-1-2-200-2-200222200000000000011001100-1-1-1-100000000
χ4722222-122-12-2-2-2-2-2-2-2-2-1-12211-2-211-2-2-122-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-1-11-21-21111111111-2-2111111-2-211112-2002-200-2-222000000000000-1100-110011-1-100000000
χ4822222-122-12-2-2-2-2-2-2-2-2-1-12211-2-211-2-2-122-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-1-11-21-21111111111-2-2111111-2-21111-2200-220022-2-20000000000001-1001-100-1-11100000000
χ492222-222-2222-22-20000222222-2-222-2-2200-2-22-2-20000000000000000-2-2-2-222-22-2222-2-222-2-2000000000000000000000000000000002-2-222-22-200000000000000000000
χ502222-222-2222-22-20000222222-2-222-2-2200-2-22-2-20000000000000000-2-2-2-222-22-2222-2-222-2-200000000000000000000000000000000-222-2-22-2200000000000000000000
χ512222-222-222-22-2200002222-2-222-2-222200-2-22-2-20000000000000000-2-2-2-2222-22-2-2-222-2-222000000000000000000000000000000002-2-22-22-2200000000000000000000
χ522222-222-222-22-2200002222-2-222-2-222200-2-22-2-20000000000000000-2-2-2-2222-22-2-2-222-2-22200000000000000000000000000000000-222-22-22-200000000000000000000
χ5322-2-2222-2222i−2i−2i2i0000-2-2-2-22i2i−2i−2i−2i−2i2i2i200222220000000000000000-2-2-2-2-2-2−2i2i2i−2i2i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000022-2-22i−2i−2i2i00000000000000000000
χ5422-2-2222-2222i−2i−2i2i0000-2-2-2-22i2i−2i−2i−2i−2i2i2i200222220000000000000000-2-2-2-2-2-2−2i2i2i−2i2i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000-2-222−2i2i2i−2i00000000000000000000
χ5522-2-2222-222−2i2i2i−2i0000-2-2-2-2−2i−2i2i2i2i2i−2i−2i200222220000000000000000-2-2-2-2-2-22i−2i−2i2i−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000022-2-2−2i2i2i−2i00000000000000000000
χ5622-2-2222-222−2i2i2i−2i0000-2-2-2-2−2i−2i2i2i2i2i−2i−2i200222220000000000000000-2-2-2-2-2-22i−2i−2i2i−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000-2-2222i−2i−2i2i00000000000000000000
χ5722-2-2-22-122-12i2i−2i−2i22-2-2-2-2112i2i−i−i−2i−2iii-12i−2i-21-1112i2i−i−i−i−i−i−i−2i−2iiiiiii2-1-1-1112i−i−2ii−i−i−i−iiiii22-1-1-1-1-1-1-2-2111111002200-2-200002i−2i2i−2i0000000000-1-100110000−ii−ii0000
χ5822-2-2-22-122-12i2i−2i−2i22-2-2-2-2112i2i−i−i−2i−2iii-12i−2i-21-1112i2i−i−i−i−i−i−i−2i−2iiiiiii2-1-1-1112i−i−2ii−i−i−i−iiiii22-1-1-1-1-1-1-2-211111100-2-200220000−2i2i−2i2i00000000001100-1-10000i−ii−i0000
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χ1324-4−4i4i0-2-20220000−2222−2i22i22i−2i2i−2i−2ζ5+2ζ132ζ5−2ζ132ζ7−2ζ23−2ζ7+2ζ232ζ7−2ζ23−2ζ7+2ζ23−2ζ5+2ζ132ζ5−2ζ1310000-13-3ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22−i3i33−3ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22−33−i3i300−3i3i−ii0000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ132−22−22ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ23i2−i2i2−i2ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ2300000000000000000000000000000000000000000000

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