Finite Group Databasebeta

← Group #11859297

Character table — Group #11859297

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111111122222222222222222222444444444444444444446666666666666666888888888888888888889999999912121212121212121212121212121212121212121212121218181818242424242424242436363636
order122244443344446666661212121212121212366688881212121212121212121212128888888888888888121212122424242424242424242424242424242422224444222244442424242424242424242424242424242444446666121212128888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111
χ711111111111111111111111111111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111
χ811111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ91111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111111-11-11-11-111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-111-1-1
χ101111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111111-1-1-1-1-1-1-1-1111111111-1-111-1-11-1-111
χ111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-111111111-1-1-1-11111-111-1-111-1-1-111
χ121111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-11-11-11-11-1-1-1-1-1-1-1-111111111-1-1-1-1-11-11-11-1111-1-1
χ131111111111-1-1-1-1111111111111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-11-11-11-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-1-111
χ141111111111-1-1-1-1111111111111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-111-11111-1-1-1-1-1-1-1-111111111-111-1-111-111-1-1
χ151111111111-1-1-1-1111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-1-111-1-11-1-1-1-111111111-1-1-1-111111-1-111-1-1111-1-1
χ161111111111-1-1-1-1111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111-11-11-11-1-1-1-1-1-1-1-1-111111111-1-1-1-11-11-11-11-1-1-111
χ171111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111i−ii−i1111-1-1-1-1-1-1-1-1ii−i−iii−i−iii−i−iii−i−i11-1-1ii−i−iii−i−iii−i−iii−i−i1111-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i11-1-11111-1-1-1-1i−ii−i
χ181111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111i−ii−i1111-1-1-1-1-1-1-1-1ii−i−i−i−iiiii−i−i−i−iii11-1-1ii−i−iii−i−iii−i−iii−i−i-1-1-1-1111111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii-1-11111-1-1-1-111−ii−ii
χ191111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111i−ii−i1111-1-1-1-1-1-1-1-1−i−iiiii−i−i−i−iiiii−i−i11-1-1ii−i−iii−i−iii−i−iii−i−i-1-1-1-11111-1-11111-1-1−i−iiiii−i−i−i−iiiii−i−i-1-111-1-11111-1-1−ii−ii
χ201111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111i−ii−i1111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−iii−i−iii11-1-1ii−i−iii−i−iii−i−iii−i−i1111-1-1-1-1-1-1-1-11111−i−iii−i−iii−i−iii−i−iii11-1-1-1-1-1-11111i−ii−i
χ211111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111−ii−ii1111-1-1-1-1-1-1-1-1ii−i−iii−i−iii−i−iii−i−i11-1-1−i−iii−i−iii−i−iii−i−iii1111-1-1-1-1-1-1-1-11111ii−i−iii−i−iii−i−iii−i−i11-1-1-1-1-1-11111−ii−ii
χ221111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111−ii−ii1111-1-1-1-1-1-1-1-1ii−i−i−i−iiiii−i−i−i−iii11-1-1−i−iii−i−iii−i−iii−i−iii-1-1-1-11111-1-11111-1-1ii−i−i−i−iiiii−i−i−i−iii-1-111-1-11111-1-1i−ii−i
χ231111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111−ii−ii1111-1-1-1-1-1-1-1-1−i−iiiii−i−i−i−iiiii−i−i11-1-1−i−iii−i−iii−i−iii−i−iii-1-1-1-1111111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-1-1-111i−ii−i
χ241111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111−ii−ii1111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−iii−i−iii11-1-1−i−iii−i−iii−i−iii−i−iii1111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii11-1-11111-1-1-1-1−ii−ii
χ251111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111i−i−ii-1-1-1-11111-1-1-1-1ii−i−iii−i−i−i−iii−i−iii-1-111ii−i−i−i−iiiii−i−i−i−iii1111-1-1-1-11-11-1-11-11ii−i−iii−i−i−i−iii−i−iii-1-1111-11-1-11-11i−i−ii
χ261111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111i−i−ii-1-1-1-11111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i-1-111ii−i−i−i−iiiii−i−i−i−iii-1-1-1-111111-1-11-111-1ii−i−i−i−iii−i−iiiii−i−i11-1-11-1-11-111-1−iii−i
χ271111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111i−i−ii-1-1-1-11111-1-1-1-1−i−iiiii−i−iii−i−i−i−iii-1-111ii−i−i−i−iiiii−i−i−i−iii-1-1-1-11111-111-11-1-11−i−iiiii−i−iii−i−i−i−iii11-1-1-111-11-1-11−iii−i
χ281111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111i−i−ii-1-1-1-11111-1-1-1-1−i−iii−i−iiiii−i−iii−i−i-1-111ii−i−i−i−iiiii−i−i−i−iii1111-1-1-1-1-11-111-11-1−i−iii−i−iiiii−i−iii−i−i-1-111-11-111-11-1i−i−ii
χ291111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111−iii−i-1-1-1-11111-1-1-1-1ii−i−iii−i−i−i−iii−i−iii-1-111−i−iiiii−i−i−i−iiiii−i−i1111-1-1-1-1-11-111-11-1ii−i−iii−i−i−i−iii−i−iii-1-111-11-111-11-1−iii−i
χ301111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111−iii−i-1-1-1-11111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i-1-111−i−iiiii−i−i−i−iiiii−i−i-1-1-1-11111-111-11-1-11ii−i−i−i−iii−i−iiiii−i−i11-1-1-111-11-1-11i−i−ii
χ311111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111−iii−i-1-1-1-11111-1-1-1-1−i−iiiii−i−iii−i−i−i−iii-1-111−i−iiiii−i−i−i−iiiii−i−i-1-1-1-111111-1-11-111-1−i−iiiii−i−iii−i−i−i−iii11-1-11-1-11-111-1i−i−ii
χ321111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111−iii−i-1-1-1-11111-1-1-1-1−i−iii−i−iiiii−i−iii−i−i-1-111−i−iiiii−i−i−i−iiiii−i−i1111-1-1-1-11-11-1-11-11−i−iii−i−iiiii−i−iii−i−i-1-1111-11-1-11-11−iii−i
χ33222222222-1222222-1-12-122-1-122-1-1-1-1-1-1222222-1-122-1-1-1-1-1-10000222200002222-1-1-1-12-12-12-12-1-1-1-1-1-1-1-1-100000000002200220000-1-1-1-10000-1-1-1-1000000-1-100-1-10000
χ34222222222-1222222-1-12-122-1-122-1-1-1-1-1-1222222-1-122-1-1-1-1-1-10000-2-2-2-20000-2-2-2-2-1-1-1-12-12-12-12-1-1-1-1-1-1-1-1-10000000000-2-200-2-200001111000011110000001100110000
χ35222222222-1222222-1-12-122-1-122-1-1-1-1-1-1-2-2-2-222-1-122-1-1-1-1-1-10000222200002222-1-1-1-1-21-21-21-21111111110000000000-2-200-2-20000-1-1-1-10000-1-1-1-10000001100110000
χ36222222222-1222222-1-12-122-1-122-1-1-1-1-1-1-2-2-2-222-1-122-1-1-1-1-1-10000-2-2-2-20000-2-2-2-2-1-1-1-1-21-21-21-211111111100000000002200220000111100001111000000-1-100-1-10000
χ37222222222-1-2-2-2-222-1-12-122-1-122-1-1-1-1-1-122-2-2-2-211-2-211-1-1-1-1000022220000-2-2-2-211112-12-1-21-21-1-1-1-1111100000000002-2002-20000-1-1-1-100001111000000-1100-110000
χ38222222222-1-2-2-2-222-1-12-122-1-122-1-1-1-1-1-122-2-2-2-211-2-211-1-1-1-10000-2-2-2-20000222211112-12-1-21-21-1-1-1-111110000000000-2200-22000011110000-1-1-1-10000001-1001-10000
χ39222222222-1-2-2-2-222-1-12-122-1-122-1-1-1-1-1-1-2-222-2-211-2-211-1-1-1-1000022220000-2-2-2-21111-21-212-12-11111-1-1-1-10000000000-2200-220000-1-1-1-1000011110000001-1001-10000
χ40222222222-1-2-2-2-222-1-12-122-1-122-1-1-1-1-1-1-2-222-2-211-2-211-1-1-1-10000-2-2-2-2000022221111-21-212-12-11111-1-1-1-100000000002-2002-2000011110000-1-1-1-1000000-1100-110000
χ4122222222-122222-1-122-12-1-122-1-122-1-1-1-12222-1-122-1-122-1-1-1-12222000022220000-1-1-1-1-12-12-12-12-1-1-1-1-1-1-1-10000000022002200-1-1-1-10000-1-1-1-100000000-1-100-1-1000000
χ4222222222-122222-1-122-12-1-122-1-122-1-1-1-12222-1-122-1-122-1-1-1-1-2-2-2-20000-2-2-2-20000-1-1-1-1-12-12-12-12-1-1-1-1-1-1-1-100000000-2-200-2-20011110000111100000000110011000000
χ4322222222-122222-1-122-12-1-122-1-122-1-1-1-1-2-2-2-2-1-122-1-122-1-1-1-12222000022220000-1-1-1-11-21-21-21-21111111100000000-2-200-2-200-1-1-1-10000-1-1-1-100000000110011000000
χ4422222222-122222-1-122-12-1-122-1-122-1-1-1-1-2-2-2-2-1-122-1-122-1-1-1-1-2-2-2-20000-2-2-2-20000-1-1-1-11-21-21-21-211111111000000002200220011110000111100000000-1-100-1-1000000
χ4522222222-12-2-2-2-2-1-122-12-1-122-1-122-1-1-1-122-2-211-2-211-2-2-1-1-1-122220000-2-2-2-200001111-12-121-21-2-1-1-1-11111000000002-2002-200-1-1-1-10000111100000000-1100-11000000
χ4622222222-12-2-2-2-2-1-122-12-1-122-1-122-1-1-1-122-2-211-2-211-2-2-1-1-1-1-2-2-2-20000222200001111-12-121-21-2-1-1-1-1111100000000-2200-220011110000-1-1-1-1000000001-1001-1000000
χ4722222222-12-2-2-2-2-1-122-12-1-122-1-122-1-1-1-1-2-22211-2-211-2-2-1-1-1-122220000-2-2-2-2000011111-21-2-12-121111-1-1-1-100000000-2200-2200-1-1-1-100001111000000001-1001-1000000
χ4822222222-12-2-2-2-2-1-122-12-1-122-1-122-1-1-1-1-2-22211-2-211-2-2-1-1-1-1-2-2-2-200002222000011111-21-2-12-121111-1-1-1-1000000002-2002-20011110000-1-1-1-100000000-1100-11000000
χ492222-2-2-2-22-122-2-222-1-12-1-2-211-2-211-1-1-1-12i−2i2i−2i22-1-1-2-211111100002i2i−2i−2i00002i2i−2i−2i-1-1112i−i−2ii2i−i−2ii−i−iii−i−iii00000000002200-2-20000−i−iii0000−i−iii000000-1-100110000
χ502222-2-2-2-22-122-2-222-1-12-1-2-211-2-211-1-1-1-12i−2i2i−2i22-1-1-2-21111110000−2i−2i2i2i0000−2i−2i2i2i-1-1112i−i−2ii2i−i−2ii−i−iii−i−iii0000000000-2-200220000ii−i−i0000ii−i−i0000001100-1-10000
χ512222-2-2-2-22-122-2-222-1-12-1-2-211-2-211-1-1-1-1−2i2i−2i2i22-1-1-2-211111100002i2i−2i−2i00002i2i−2i−2i-1-111−2ii2i−i−2ii2i−iii−i−iii−i−i0000000000-2-200220000−i−iii0000−i−iii0000001100-1-10000
χ522222-2-2-2-22-122-2-222-1-12-1-2-211-2-211-1-1-1-1−2i2i−2i2i22-1-1-2-21111110000−2i−2i2i2i0000−2i−2i2i2i-1-111−2ii2i−i−2ii2i−iii−i−iii−i−i00000000002200-2-20000ii−i−i0000ii−i−i000000-1-100110000
χ532222-2-2-2-22-1-2-22222-1-12-1-2-211-2-211-1-1-1-12i−2i−2i2i-2-21122-1-1111100002i2i−2i−2i0000−2i−2i2i2i11-1-12i−i−2ii−2ii2i−i−i−iiiii−i−i00000000002-200-220000−i−iii0000ii−i−i000000-11001-10000
χ542222-2-2-2-22-1-2-22222-1-12-1-2-211-2-211-1-1-1-12i−2i−2i2i-2-21122-1-111110000−2i−2i2i2i00002i2i−2i−2i11-1-12i−i−2ii−2ii2i−i−i−iiiii−i−i0000000000-22002-20000ii−i−i0000−i−iii0000001-100-110000
χ552222-2-2-2-22-1-2-22222-1-12-1-2-211-2-211-1-1-1-1−2i2i2i−2i-2-21122-1-1111100002i2i−2i−2i0000−2i−2i2i2i11-1-1−2ii2i−i2i−i−2iiii−i−i−i−iii0000000000-22002-20000−i−iii0000ii−i−i0000001-100-110000
χ562222-2-2-2-22-1-2-22222-1-12-1-2-211-2-211-1-1-1-1−2i2i2i−2i-2-21122-1-111110000−2i−2i2i2i00002i2i−2i−2i11-1-1−2ii2i−i2i−i−2iiii−i−i−i−iii00000000002-200-220000ii−i−i0000−i−iii000000-11001-10000
χ572222-2-2-2-2-1222-2-2-1-122-1211-2-211-2-2-1-1-1-12i−2i2i−2i-1-12211-2-211112i2i−2i−2i00002i2i−2i−2i0000-1-111−i2ii−2i−i2ii−2i−i−iii−i−iii000000002200-2-200−i−iii0000−i−iii00000000-1-10011000000
χ582222-2-2-2-2-1222-2-2-1-122-1211-2-211-2-2-1-1-1-12i−2i2i−2i-1-12211-2-21111−2i−2i2i2i0000−2i−2i2i2i0000-1-111−i2ii−2i−i2ii−2i−i−iii−i−iii00000000-2-2002200ii−i−i0000ii−i−i000000001100-1-1000000
χ592222-2-2-2-2-1222-2-2-1-122-1211-2-211-2-2-1-1-1-1−2i2i−2i2i-1-12211-2-211112i2i−2i−2i00002i2i−2i−2i0000-1-111i−2i−i2ii−2i−i2iii−i−iii−i−i00000000-2-2002200−i−iii0000−i−iii000000001100-1-1000000
χ602222-2-2-2-2-1222-2-2-1-122-1211-2-211-2-2-1-1-1-1−2i2i−2i2i-1-12211-2-21111−2i−2i2i2i0000−2i−2i2i2i0000-1-111i−2i−i2ii−2i−i2iii−i−iii−i−i000000002200-2-200ii−i−i0000ii−i−i00000000-1-10011000000
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Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.