Finite Group Databasebeta

← Group #11857807

Character table — Group #11857807

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111122222222222222333333334444444444444444444466666666666666666666888888888888889999121212121212121212121212121212121212121216161616181818181818242424242424242436363636
order12223344666666888844444444344446661212121224242424242424242222888888881212121212121212121212121212121212122424242422222222444466662424242424242424121212124488886666121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-11111111111111111111111-1-11111-1-1-1-11111-1-1-1-111111111111111-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-1
χ41111111111111111111111-1-1-1-11-1-1-1-111111111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ5111111111111111111-1-1-1-1111111111111111111111111-1-111-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1
χ6111111111111111111-1-1-1-111111-1-1-1-1111111111111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111
χ7111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111
χ8111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1
χ911111111111111-1-1-1-111111111111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1
χ1011111111111111-1-1-1-1111111111-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111
χ1111111111111111-1-1-1-11111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-111
χ1211111111111111-1-1-1-11111-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-11111-1-1
χ1311111111111111-1-1-1-1-1-1-1-11111111-1-11111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-111
χ1411111111111111-1-1-1-1-1-1-1-111111-1-1111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-11111-1-111-1-1
χ1511111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-11111-1-1-1-111-1-1
χ1611111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-11111-1-111
χ171-1-11111-1-1-111-1-1ii−i−i11-1-111-1-11i−i1-1-1-1111-1-1iiii−i−i−i−i1-11-1ii−i−iii−i−i11-1-111-1-1ii−i−i11-1-11-1ii−i−i11-1-11-11-1i−ii−i1-11-1ii−i−iii−i−ii−i1-11-1ii−i−i1-11-1i−ii−ii−i1-1
χ181-1-11111-1-1-111-1-1ii−i−i11-1-111-1-11−ii-11-1-1111-1-1iiii−i−i−i−i1-11-1ii−i−iii−i−i11-1-111-1-1−i−iii-1-1111-1ii−i−i11-1-1-11-11−ii−ii1-11-1ii−i−iii−i−i−ii-111-1ii−i−i-11-11−ii−ii−ii-11
χ191-1-11111-1-1-111-1-1ii−i−i11-1-1-1-1111i−i1-1-1-1111-1-1iiii−i−i−i−i1-1-11ii−i−i−i−iii11-1-1-1-111ii−i−i11-1-11-1ii−i−i-1-1111-1-11i−i−ii1-1-11ii−i−i−i−iiii−i1-1-11−i−iii1-1-11i−i−ii−ii-11
χ201-1-11111-1-1-111-1-1ii−i−i11-1-1-1-1111−ii-11-1-1111-1-1iiii−i−i−i−i1-1-11ii−i−i−i−iii11-1-1-1-111−i−iii-1-1111-1ii−i−i-1-111-111-1−iii−i1-1-11ii−i−i−i−iii−ii-11-11−i−iii-111-1−iii−ii−i1-1
χ211-1-11111-1-1-111-1-1ii−i−i-1-11111-1-11i−i1-1-1-1111-1-1iiii−i−i−i−i-111-1−i−iiiii−i−i-1-11111-1-1ii−i−i11-1-11-1ii−i−i-1-111-111-1−iii−i-111-1−i−iiiii−i−ii−i1-1-11−i−iii-111-1−iii−i−ii-11
χ221-1-11111-1-1-111-1-1ii−i−i-1-11111-1-11−ii-11-1-1111-1-1iiii−i−i−i−i-111-1−i−iiiii−i−i-1-11111-1-1−i−iii-1-1111-1ii−i−i-1-1111-1-11i−i−ii-111-1−i−iiiii−i−i−ii-11-11−i−iii1-1-11i−i−iii−i1-1
χ231-1-11111-1-1-111-1-1ii−i−i-1-111-1-1111i−i1-1-1-1111-1-1iiii−i−i−i−i-11-11−i−iii−i−iii-1-111-1-111ii−i−i11-1-11-1ii−i−i11-1-1-11-11−ii−ii-11-11−i−iii−i−iiii−i1-11-1ii−i−i-11-11−ii−iii−i1-1
χ241-1-11111-1-1-111-1-1ii−i−i-1-111-1-1111−ii-11-1-1111-1-1iiii−i−i−i−i-11-11−i−iii−i−iii-1-111-1-111−i−iii-1-1111-1ii−i−i11-1-11-11-1i−ii−i-11-11−i−iii−i−iii−ii-111-1ii−i−i1-11-1i−ii−i−ii-11
χ251-1-11111-1-1-111-1-1−i−iii11-1-111-1-11i−i-11-1-1111-1-1−i−i−i−iiiii1-11-1−i−iii−i−iii11-1-111-1-1ii−i−i-1-1111-1−i−iii11-1-1-11-11i−ii−i1-11-1−i−iii−i−iiii−i-111-1−i−iii-11-11i−ii−ii−i-11
χ261-1-11111-1-1-111-1-1−i−iii11-1-111-1-11−ii1-1-1-1111-1-1−i−i−i−iiiii1-11-1−i−iii−i−iii11-1-111-1-1−i−iii11-1-11-1−i−iii11-1-11-11-1−ii−ii1-11-1−i−iii−i−iii−ii1-11-1−i−iii1-11-1−ii−ii−ii1-1
χ271-1-11111-1-1-111-1-1−i−iii11-1-1-1-1111i−i-11-1-1111-1-1−i−i−i−iiiii1-1-11−i−iiiii−i−i11-1-1-1-111ii−i−i-1-1111-1−i−iii-1-111-111-1i−i−ii1-1-11−i−iiiii−i−ii−i-11-11ii−i−i-111-1i−i−ii−ii1-1
χ281-1-11111-1-1-111-1-1−i−iii11-1-1-1-1111−ii1-1-1-1111-1-1−i−i−i−iiiii1-1-11−i−iiiii−i−i11-1-1-1-111−i−iii11-1-11-1−i−iii-1-1111-1-11−iii−i1-1-11−i−iiiii−i−i−ii1-1-11ii−i−i1-1-11−iii−ii−i-11
χ291-1-11111-1-1-111-1-1−i−iii-1-11111-1-11i−i-11-1-1111-1-1−i−i−i−iiiii-111-1ii−i−i−i−iii-1-11111-1-1ii−i−i-1-1111-1−i−iii-1-1111-1-11−iii−i-111-1ii−i−i−i−iiii−i-11-11ii−i−i1-1-11−iii−i−ii1-1
χ301-1-11111-1-1-111-1-1−i−iii-1-11111-1-11−ii1-1-1-1111-1-1−i−i−i−iiiii-111-1ii−i−i−i−iii-1-11111-1-1−i−iii11-1-11-1−i−iii-1-111-111-1i−i−ii-111-1ii−i−i−i−iii−ii1-1-11ii−i−i-111-1i−i−iii−i-11
χ311-1-11111-1-1-111-1-1−i−iii-1-111-1-1111i−i-11-1-1111-1-1−i−i−i−iiiii-11-11ii−i−iii−i−i-1-111-1-111ii−i−i-1-1111-1−i−iii11-1-11-11-1−ii−ii-11-11ii−i−iii−i−ii−i-111-1−i−iii1-11-1−ii−iii−i-11
χ321-1-11111-1-1-111-1-1−i−iii-1-111-1-1111−ii1-1-1-1111-1-1−i−i−i−iiiii-11-11ii−i−iii−i−i-1-111-1-111−i−iii11-1-11-1−i−iii11-1-1-11-11i−ii−i-11-11ii−i−iii−i−i−ii1-11-1−i−iii-11-11i−ii−i−ii1-1
χ33222222-2-222222200002222222220000222-2-2-2-200000000-2-2-2-2000000002222222200000000-2-20000222200000000-2-2-2-2000000000000-2-20000000000000000
χ34222222-2-222222200002222-2-2-2-220000222-2-2-2-200000000-2-222000000002222-2-2-2-200000000-2-20000-2-2-2-200000000-2-222000000000000220000000000000000
χ35222222-2-22222220000-2-2-2-2222220000222-2-2-2-20000000022-2-200000000-2-2-2-2222200000000-2-20000-2-2-2-20000000022-2-2000000000000220000000000000000
χ36222222-2-22222220000-2-2-2-2-2-2-2-220000222-2-2-2-200000000222200000000-2-2-2-2-2-2-2-200000000-2-200002222000000002222000000000000-2-20000000000000000
χ3722222-1222-12-12-1222200002222-12222-1-1-12-12-122-1-122-1-10022000022220000-1-1-1-12-12-12-12-1-1-1-1-1-1-100000022002200-1-10000-1-1-1-1-1-1-1-100000000-1-100-1-10000
χ3822222-1222-12-12-1222200002222-1-2-2-2-2-1-1-12-12-122-1-122-1-10022000022220000-1-1-1-1-21-21-21-21-1-1-1-1-1-1000000-2-200-2-200-1-10000-1-1-1-11111000000001100110000
χ3922222-1222-12-12-122220000-2-2-2-2-12222-1-1-12-12-122-1-122-1-100-2-20000-2-2-2-2000011112-12-12-12-1-1-1-1-1-1-1000000-2-200-2-2001100001111-1-1-1-1000000001100110000
χ4022222-1222-12-12-122220000-2-2-2-2-1-2-2-2-2-1-1-12-12-122-1-122-1-100-2-20000-2-2-2-200001111-21-21-21-21-1-1-1-1-1-1000000220022001100001111111100000000-1-100-1-10000
χ4122222-1222-12-12-1-2-2-2-200002222-122-2-2-1-1-12-12-1-2-211-2-21100220000-2-2-2-20000-1-1-1-12-12-1-21-21-1-11111000000-2-2002200-1-100001111-1-111000000001100-1-10000
χ4222222-1222-12-12-1-2-2-2-200002222-1-2-222-1-1-12-12-1-2-211-2-21100220000-2-2-2-20000-1-1-1-1-21-212-12-1-1-111110000002200-2-200-1-10000111111-1-100000000-1-100110000
χ4322222-1222-12-12-1-2-2-2-20000-2-2-2-2-122-2-2-1-1-12-12-1-2-211-2-21100-2-200002222000011112-12-1-21-21-1-111110000002200-2-200110000-1-1-1-1-1-11100000000-1-100110000
χ4422222-1222-12-12-1-2-2-2-20000-2-2-2-2-1-2-222-1-1-12-12-1-2-211-2-21100-2-20000222200001111-21-212-12-1-1-11111000000-2-2002200110000-1-1-1-111-1-1000000001100-1-10000
χ452222-1222-12-12-12222222220000-12222-1-1-1-12-12-1-122-1-122220022220000-1-1-1-10000-12-12-12-12-1-1-1-1-1-1000022002200-1-100-1-1-1-10000-1-1-1-1000000-1-100-1-1000000
χ462222-1222-12-12-12222222220000-1-2-2-2-2-1-1-1-12-12-1-122-1-122220022220000-1-1-1-100001-21-21-21-2-1-1-1-1-1-10000-2-200-2-200-1-100-1-1-1-100001111000000110011000000
χ472222-1222-12-12-122222-2-2-2-20000-12222-1-1-1-12-12-1-122-1-122-2-200-2-2-2-2000011110000-12-12-12-12-1-1-1-1-1-10000-2-200-2-200110011110000-1-1-1-1000000110011000000
χ482222-1222-12-12-122222-2-2-2-20000-1-2-2-2-2-1-1-1-12-12-1-122-1-122-2-200-2-2-2-20000111100001-21-21-21-2-1-1-1-1-1-10000220022001100111100001111000000-1-100-1-1000000
χ492222-1222-12-12-12-2-2-2-222220000-122-2-2-1-1-1-12-1211-2-211-2-22200-2-2-2-20000-1-1-1-10000-12-121-21-2-1-111110000-2-2002200-1-10011110000-1-1110000001100-1-1000000
χ502222-1222-12-12-12-2-2-2-222220000-1-2-222-1-1-1-12-1211-2-211-2-22200-2-2-2-20000-1-1-1-100001-21-2-12-12-1-1111100002200-2-200-1-1001111000011-1-1000000-1-10011000000
χ512222-1222-12-12-12-2-2-2-2-2-2-2-20000-122-2-2-1-1-1-12-1211-2-211-2-2-2-2002222000011110000-12-121-21-2-1-1111100002200-2-2001100-1-1-1-10000-1-111000000-1-10011000000
χ522222-1222-12-12-12-2-2-2-2-2-2-2-20000-1-2-222-1-1-1-12-1211-2-211-2-2-2-20022220000111100001-21-2-12-12-1-111110000-2-20022001100-1-1-1-1000011-1-10000001100-1-1000000
χ5322-2-22200-2-2-2-2222−22−22i−2i2i−2i2i−2i2i−2i200002-2-200002−22−22−22−20000i2−i2i2−i2i2−i2i2−i22i−2i2i−2i2i−2i2i−2i00000000002−22−22-22-2000000000000i2−i2i2−i2i2−i2i2−i20000002−22−2000000000000
χ5422-2-22200-2-2-2-2222−22−22i−2i2i−2i−2i2i−2i2i200002-2-200002−22−22−22−20000i2−i2i2−i2−i2i2−i2i22i−2i2i−2i−2i2i−2i2i00000000002−22−2-22-22000000000000i2−i2i2−i2−i2i2−i2i2000000−22−22000000000000
χ5522-2-22200-2-2-2-2222−22−2−2i2i−2i2i2i−2i2i−2i200002-2-200002−22−22−22−20000−i2i2−i2i2i2−i2i2−i2−2i2i−2i2i2i−2i2i−2i00000000002−22−2-22-22000000000000−i2i2−i2i2i2−i2i2−i2000000−22−22000000000000
χ5622-2-22200-2-2-2-2222−22−2−2i2i−2i2i−2i2i−2i2i200002-2-200002−22−22−22−20000−i2i2−i2i2−i2i2−i2i2−2i2i−2i2i−2i2i−2i2i00000000002−22−22-22-2000000000000−i2i2−i2i2−i2i2−i2i20000002−22−2000000000000
χ5722-2-22200-2-2-2-222−22−222i−2i2i−2i2i−2i2i−2i200002-2-20000−22−22−22−220000−i2i2−i2i2−i2i2−i2i22i−2i2i−2i2i−2i2i−2i0000000000−22−222-22-2000000000000−i2i2−i2i2−i2i2−i2i2000000−22−22000000000000
χ5822-2-22200-2-2-2-222−22−222i−2i2i−2i−2i2i−2i2i200002-2-20000−22−22−22−220000−i2i2−i2i2i2−i2i2−i22i−2i2i−2i−2i2i−2i2i0000000000−22−22-22-22000000000000−i2i2−i2i2i2−i2i2−i20000002−22−2000000000000
χ5922-2-22200-2-2-2-222−22−22−2i2i−2i2i2i−2i2i−2i200002-2-20000−22−22−22−220000i2−i2i2−i2−i2i2−i2i2−2i2i−2i2i2i−2i2i−2i0000000000−22−22-22-22000000000000i2−i2i2−i2−i2i2−i2i20000002−22−2000000000000
χ6022-2-22200-2-2-2-222−22−22−2i2i−2i2i−2i2i−2i2i200002-2-20000−22−22−22−220000i2−i2i2−i2i2−i2i2−i2−2i2i−2i2i−2i2i−2i2i0000000000−22−222-22-2000000000000i2−i2i2−i2i2−i2i2−i2000000−22−22000000000000
χ612-22-2220022-2-2-2-2i2−i2−i2i22i−2i−2i2i2i−2i−2i2i20000-22-20000i2−i2i2−i2−i2i2−i2i20000−222−2−222−22i−2i−2i2i2i−2i−2i2i0000000000i2−i2−i2i22-2-22000000000000−222−2−222−2000000i2−i2−i2i2000000000000
χ622-22-2220022-2-2-2-2i2−i2−i2i22i−2i−2i2i−2i2i2i−2i20000-22-20000i2−i2i2−i2−i2i2−i2i20000−222−22−2−222i−2i−2i2i−2i2i2i−2i0000000000i2−i2−i2i2-222-2000000000000−222−22−2−22000000−i2i2i2−i2000000000000
χ632-22-2220022-2-2-2-2i2−i2−i2i2−2i2i2i−2i2i−2i−2i2i20000-22-20000i2−i2i2−i2−i2i2−i2i200002−2−22−222−2−2i2i2i−2i2i−2i−2i2i0000000000i2−i2−i2i2-222-20000000000002−2−22−222−2000000−i2i2i2−i2000000000000
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χ1268-8-88-4-4-8844-4-44400000000000020000-2-2244-4-4000000000000000000000000000000000000-2200000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).