Finite Group Databasebeta

← Group #11861530

Character table — Group #11861530

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11111111222222222222222244444444444444444444446666666666666666888888888888888888881212121212121212121212121212121212121212121212121818181818181818242424242424242436363636
order1222444433666666121212121212121234466688881212121224242424242424244444444488888888121212121212121224242424242424242424242444448888121212121212121224242424242424242244444412121212242424248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111111111111111111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111
χ7111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ8111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1
χ91111111111111111111111111-1-111111-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1
χ101111111111111111111111111-1-111111-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-111
χ111111111111111111111111111-1-111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-111
χ121111111111111111111111111-1-111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-111-1-1
χ131111111111111111111111111-1-1111-1-1111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111
χ141111111111111111111111111-1-1111-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1
χ151111111111111111111111111-1-1111-1-1111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-111-1-1
χ161111111111111111111111111-1-1111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-111
χ171111-1-1-1-111111111-1-1-1-1-1-1-1-111-1111i−ii−i-1-1-1-1ii−i−iii−i−i11-1-111-1-1ii−i−iii−i−i11-1-111-1-1i−ii−iii−i−iii−i−i1-11-1i−ii−i11-1-111-1-1ii−i−iii−i−i11-1-111-1-11-11-1i−ii−ii−ii−i
χ181111-1-1-1-111111111-1-1-1-1-1-1-1-111-1111i−ii−i-1-1-1-1ii−i−iii−i−i11-1-1-1-111ii−i−i−i−iii11-1-111-1-1i−ii−iii−i−iii−i−i1-1-11i−i−ii11-1-1-1-111ii−i−i−i−iii-1-111-1-1111-1-11i−i−ii−ii−ii
χ191111-1-1-1-111111111-1-1-1-1-1-1-1-111-1111i−ii−i-1-1-1-1ii−i−iii−i−i-1-11111-1-1−i−iiiii−i−i11-1-111-1-1i−ii−iii−i−iii−i−i-111-1−iii−i-1-11111-1-1−i−iiiii−i−i-1-111-1-111-111-1−iii−i−ii−ii
χ201111-1-1-1-111111111-1-1-1-1-1-1-1-111-1111i−ii−i-1-1-1-1ii−i−iii−i−i-1-111-1-111−i−iii−i−iii11-1-111-1-1i−ii−iii−i−iii−i−i-11-11−ii−ii-1-111-1-111−i−iii−i−iii11-1-111-1-1-11-11−ii−iii−ii−i
χ211111-1-1-1-111111111-1-1-1-1-1-1-1-111-1111−ii−ii-1-1-1-1−i−iii−i−iii11-1-111-1-1−i−iii−i−iii11-1-111-1-1−ii−ii−i−iii−i−iii1-11-1−ii−ii11-1-111-1-1−i−iii−i−iii11-1-111-1-11-11-1−ii−ii−ii−ii
χ221111-1-1-1-111111111-1-1-1-1-1-1-1-111-1111−ii−ii-1-1-1-1−i−iii−i−iii11-1-1-1-111−i−iiiii−i−i11-1-111-1-1−ii−ii−i−iii−i−iii1-1-11−iii−i11-1-1-1-111−i−iiiii−i−i-1-111-1-1111-1-11−iii−ii−ii−i
χ231111-1-1-1-111111111-1-1-1-1-1-1-1-111-1111−ii−ii-1-1-1-1−i−iii−i−iii-1-11111-1-1ii−i−i−i−iii11-1-111-1-1−ii−ii−i−iii−i−iii-111-1i−i−ii-1-11111-1-1ii−i−i−i−iii-1-111-1-111-111-1i−i−iii−ii−i
χ241111-1-1-1-111111111-1-1-1-1-1-1-1-111-1111−ii−ii-1-1-1-1−i−iii−i−iii-1-111-1-111ii−i−iii−i−i11-1-111-1-1−ii−ii−i−iii−i−iii-11-11i−ii−i-1-111-1-111ii−i−iii−i−i11-1-111-1-1-11-11i−ii−i−ii−ii
χ251111-1-1-1-111111111-1-1-1-1-1-1-1-11-11111i−i−ii-1-1-1-1ii−i−i−i−iii11-1-111-1-1ii−i−i−i−iii-1-111-1-111i−i−iiii−i−i−i−iii-11-11−iii−i11-1-111-1-1ii−i−i−i−iii-1-11111-1-1-11-11−iii−ii−i−ii
χ261111-1-1-1-111111111-1-1-1-1-1-1-1-11-11111i−i−ii-1-1-1-1ii−i−i−i−iii11-1-1-1-111ii−i−iii−i−i-1-111-1-111i−i−iiii−i−i−i−iii-111-1−ii−ii11-1-1-1-111ii−i−iii−i−i11-1-1-1-111-111-1−ii−ii−iii−i
χ271111-1-1-1-111111111-1-1-1-1-1-1-1-11-11111i−i−ii-1-1-1-1ii−i−i−i−iii-1-11111-1-1−i−iii−i−iii-1-111-1-111i−i−iiii−i−i−i−iii1-1-11i−ii−i-1-11111-1-1−i−iii−i−iii11-1-1-1-1111-1-11i−ii−i−iii−i
χ281111-1-1-1-111111111-1-1-1-1-1-1-1-11-11111i−i−ii-1-1-1-1ii−i−i−i−iii-1-111-1-111−i−iiiii−i−i-1-111-1-111i−i−iiii−i−i−i−iii1-11-1i−i−ii-1-111-1-111−i−iiiii−i−i-1-11111-1-11-11-1i−i−iii−i−ii
χ291111-1-1-1-111111111-1-1-1-1-1-1-1-11-11111−iii−i-1-1-1-1−i−iiiii−i−i11-1-111-1-1−i−iiiii−i−i-1-111-1-111−iii−i−i−iiiii−i−i-11-11i−i−ii11-1-111-1-1−i−iiiii−i−i-1-11111-1-1-11-11i−i−ii−iii−i
χ301111-1-1-1-111111111-1-1-1-1-1-1-1-11-11111−iii−i-1-1-1-1−i−iiiii−i−i11-1-1-1-111−i−iii−i−iii-1-111-1-111−iii−i−i−iiiii−i−i-111-1i−ii−i11-1-1-1-111−i−iii−i−iii11-1-1-1-111-111-1i−ii−ii−i−ii
χ311111-1-1-1-111111111-1-1-1-1-1-1-1-11-11111−iii−i-1-1-1-1−i−iiiii−i−i-1-11111-1-1ii−i−iii−i−i-1-111-1-111−iii−i−i−iiiii−i−i1-1-11−ii−ii-1-11111-1-1ii−i−iii−i−i11-1-1-1-1111-1-11−ii−iii−i−ii
χ321111-1-1-1-111111111-1-1-1-1-1-1-1-11-11111−iii−i-1-1-1-1−i−iiiii−i−i-1-111-1-111ii−i−i−i−iii-1-111-1-111−iii−i−i−iiiii−i−i1-11-1−iii−i-1-111-1-111ii−i−i−i−iii-1-11111-1-11-11-1−iii−i−iii−i
χ33222222222-12-122-1-122-1-122-1-1-122-1-1-12222-1-1-1-12222-1-1-1-100002222000022222-12-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1002200220000-1-1-1-10000-1-1-1-10000000000-1-100-1-10000
χ34222222222-12-122-1-122-1-122-1-1-122-1-1-12222-1-1-1-12222-1-1-1-10000-2-2-2-20000-2-2-2-22-12-1-1-1-1-1-1-122-1-1-1-1-1-1-1-100-2-200-2-2000011110000111100000000001100110000
χ35222222222-12-122-1-122-1-122-1-1-122-1-1-1-2-2-2-2-1-1-1-1-2-2-2-21111000022220000-2-2-2-22-12-1-1-1-1-111-2-211111111002200-2-20000-1-1-1-1000011110000000000-1-100110000
χ36222222222-12-122-1-122-1-122-1-1-122-1-1-1-2-2-2-2-1-1-1-1-2-2-2-211110000-2-2-2-2000022222-12-1-1-1-1-111-2-21111111100-2-20022000011110000-1-1-1-100000000001100-1-10000
χ37222222222-12-122-1-122-1-122-1-1-1-2-2-1-1-122-2-2-1-1-1-122221111000022220000-2-2-2-2-21-211111-1-1-2-2-1-1-1-1111100-2-200220000-1-1-1-10000111100000000001100-1-10000
χ38222222222-12-122-1-122-1-122-1-1-1-2-2-1-1-122-2-2-1-1-1-1222211110000-2-2-2-200002222-21-211111-1-1-2-2-1-1-1-11111002200-2-2000011110000-1-1-1-10000000000-1-100110000
χ39222222222-12-122-1-122-1-122-1-1-1-2-2-1-1-1-2-222-1-1-1-1-2-2-2-2-1-1-1-10000222200002222-21-21111111221111-1-1-1-100-2-200-2-20000-1-1-1-10000-1-1-1-100000000001100110000
χ40222222222-12-122-1-122-1-122-1-1-1-2-2-1-1-1-2-222-1-1-1-1-2-2-2-2-1-1-1-10000-2-2-2-20000-2-2-2-2-21-21111111221111-1-1-1-10022002200001111000011110000000000-1-100-1-10000
χ4122222222-12-12-1-122-1-122-1-122-122-1-1-12222-1-1-1-1-1-1-1-122222222000022220000-12-12-1-1-1-122-1-1-1-1-1-1-1-1-1-122002200-1-1-1-10000-1-1-1-1000000000000-1-100-1-1000000
χ4222222222-12-12-1-122-1-122-1-122-122-1-1-12222-1-1-1-1-1-1-1-12222-2-2-2-20000-2-2-2-20000-12-12-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-200-2-200111100001111000000000000110011000000
χ4322222222-12-12-1-122-1-122-1-122-122-1-1-1-2-2-2-2-1-1-1-11111-2-2-2-222220000-2-2-2-20000-12-12-1-1-1-1-2-211111111112200-2-200-1-1-1-100001111000000000000-1-10011000000
χ4422222222-12-12-1-122-1-122-1-122-122-1-1-1-2-2-2-2-1-1-1-11111-2-2-2-2-2-2-2-2000022220000-12-12-1-1-1-1-2-21111111111-2-200220011110000-1-1-1-10000000000001100-1-1000000
χ4522222222-12-12-1-122-1-122-1-122-1-2-2-1-1-122-2-2-1-1-1-1-1-1-1-1-2-2-2-222220000222200001-21-211112211-1-1-1-11111-2-200-2-200-1-1-1-10000-1-1-1-1000000000000110011000000
χ4622222222-12-12-1-122-1-122-1-122-1-2-2-1-1-122-2-2-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-20000-2-2-2-200001-21-211112211-1-1-1-1111122002200111100001111000000000000-1-100-1-1000000
χ4722222222-12-12-1-122-1-122-1-122-1-2-2-1-1-1-2-222-1-1-1-11111222222220000-2-2-2-200001-21-21111-2-2-1-11111-1-1-1-1-2-2002200-1-1-1-1000011110000000000001100-1-1000000
χ4822222222-12-12-1-122-1-122-1-122-1-2-2-1-1-1-2-222-1-1-1-111112222-2-2-2-20000222200001-21-21111-2-2-1-11111-1-1-1-12200-2-20011110000-1-1-1-1000000000000-1-10011000000
χ492222-2-2-2-22-12-122-1-1-2-211-2-211-12-2-1-1-12i−2i2i−2i11112i2i−2i−2i−i−iii000022-2-200002i2i−2i−2i2-1-21-1-111−ii2i−2i−i−iii−i−iii002-2002i−2i0000-1-1110000−i−iii0000000000-1100−ii0000
χ502222-2-2-2-22-12-122-1-1-2-211-2-211-12-2-1-1-12i−2i2i−2i11112i2i−2i−2i−i−iii0000-2-2220000−2i−2i2i2i2-1-21-1-111−ii2i−2i−i−iii−i−iii00-2200−2i2i000011-1-10000ii−i−i00000000001-100i−i0000
χ512222-2-2-2-22-12-122-1-1-2-211-2-211-12-2-1-1-1−2i2i−2i2i1111−2i−2i2i2iii−i−i000022-2-20000−2i−2i2i2i2-1-21-1-111i−i−2i2iii−i−iii−i−i002-200−2i2i0000-1-1110000ii−i−i0000000000-1100i−i0000
χ522222-2-2-2-22-12-122-1-1-2-211-2-211-12-2-1-1-1−2i2i−2i2i1111−2i−2i2i2iii−i−i0000-2-22200002i2i−2i−2i2-1-21-1-111i−i−2i2iii−i−iii−i−i00-22002i−2i000011-1-10000−i−iii00000000001-100−ii0000
χ532222-2-2-2-22-12-122-1-1-2-211-2-211-1-22-1-1-12i−2i−2i2i11112i2i−2i−2iii−i−i000022-2-20000−2i−2i2i2i-212-111-1-1−ii−2i2i−i−iiiii−i−i00-22002i−2i0000-1-1110000ii−i−i00000000001-100−ii0000
χ542222-2-2-2-22-12-122-1-1-2-211-2-211-1-22-1-1-12i−2i−2i2i11112i2i−2i−2iii−i−i0000-2-22200002i2i−2i−2i-212-111-1-1−ii−2i2i−i−iiiii−i−i002-200−2i2i000011-1-10000−i−iii0000000000-1100i−i0000
χ552222-2-2-2-22-12-122-1-1-2-211-2-211-1-22-1-1-1−2i2i2i−2i1111−2i−2i2i2i−i−iii000022-2-200002i2i−2i−2i-212-111-1-1i−i2i−2iii−i−i−i−iii00-2200−2i2i0000-1-1110000−i−iii00000000001-100i−i0000
χ562222-2-2-2-22-12-122-1-1-2-211-2-211-1-22-1-1-1−2i2i2i−2i1111−2i−2i2i2i−i−iii0000-2-2220000−2i−2i2i2i-212-111-1-1i−i2i−2iii−i−i−i−iii002-2002i−2i000011-1-10000ii−i−i0000000000-1100−ii0000
χ572222-2-2-2-2-12-12-1-12211-2-211-2-2-12-2-1-1-12i−2i2i−2i1111−i−iii2i2i−2i−2i22-2-200002i2i−2i−2i0000-121-2-1-1112i−2i−ii−i−iii−i−iii2-2002i−2i00-1-1110000−i−iii000000000000-1100−ii000000
χ582222-2-2-2-2-12-12-1-12211-2-211-2-2-12-2-1-1-12i−2i2i−2i1111−i−iii2i2i−2i−2i-2-2220000−2i−2i2i2i0000-121-2-1-1112i−2i−ii−i−iii−i−iii-2200−2i2i0011-1-10000ii−i−i0000000000001-100i−i000000
χ592222-2-2-2-2-12-12-1-12211-2-211-2-2-12-2-1-1-1−2i2i−2i2i1111ii−i−i−2i−2i2i2i22-2-20000−2i−2i2i2i0000-121-2-1-111−2i2ii−iii−i−iii−i−i2-200−2i2i00-1-1110000ii−i−i000000000000-1100i−i000000
χ602222-2-2-2-2-12-12-1-12211-2-211-2-2-12-2-1-1-1−2i2i−2i2i1111ii−i−i−2i−2i2i2i-2-22200002i2i−2i−2i0000-121-2-1-111−2i2ii−iii−i−iii−i−i-22002i−2i0011-1-10000−i−iii0000000000001-100−ii000000
χ612222-2-2-2-2-12-12-1-12211-2-211-2-2-1-22-1-1-12i−2i−2i2i1111−i−iii−2i−2i2i2i22-2-200002i2i−2i−2i00001-2-1211-1-12i−2ii−i−i−iiiii−i−i-2200−2i2i00-1-1110000−i−iii0000000000001-100i−i000000
χ622222-2-2-2-2-12-12-1-12211-2-211-2-2-1-22-1-1-12i−2i−2i2i1111−i−iii−2i−2i2i2i-2-2220000−2i−2i2i2i00001-2-1211-1-12i−2ii−i−i−iiiii−i−i2-2002i−2i0011-1-10000ii−i−i000000000000-1100−ii000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.