Finite Group Databasebeta

← Group #11858098

Character table — Group #11858098

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222224444444444444444444466666666666666668888888888888812121212121212121212121212121212121212121212121216161616181818182424242424242424363636363636
order122233446666668888223446661212121224242424242424242222444412121212121212126666121212121212242424244444444466668888242424242424242466121222441212121212121212444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-111-1-11111-1-1-1-11111111111111111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-111-1-111-1-1-1-1111111111111111111-1-111-1-111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1
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
χ5111111111111111111-1-11-1-11111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111
χ6111111111111111111-1-11-1-111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1
χ7111111111111111111-1-11-1-1111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1
χ8111111111111111111-1-11-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111
χ911111111111111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1
χ1011111111111111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-111
χ1111111111111111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-11111-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-111
χ1211111111111111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-111111111-1-1-1-1-1-111-1-1
χ1311111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1
χ1411111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111-1-1-1-111-1-1-1-111-1-11111
χ1511111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111
χ1611111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1111111-1-1-1-1111111-1-1-1-1
χ171-1-11111-1-1-1-1-111ii−i−i1-11i−i-11-111-1-1iiii−i−i−i−i1-11-11-11-111-1-111-1-111-1-1ii−i−i1-1ii−i−ii−ii−i1-11-11-11-1i−ii−iii−i−iii−i−i1-1i−i1-11-1i−ii−i1-11-1i−i1-1i−i
χ181-1-11111-1-1-1-1-111ii−i−i1-11i−i-11-111-1-1iiii−i−i−i−i1-1-111-1-1111-1-1-1-11111-1-1ii−i−i1-1ii−i−ii−i−ii1-1-111-1-11i−i−iiii−i−i−i−iii1-1i−i-11-11i−i−ii1-1-11−ii-11−ii
χ191-1-11111-1-1-1-1-111ii−i−i1-11i−i-11-111-1-1iiii−i−i−i−i-111-1-111-1-1-11111-1-111-1-1ii−i−i1-1ii−i−i−iii−i-111-1-111-1−iii−i−i−iiiii−i−i1-1i−i-11-11−iii−i-111-1−ii-11−ii
χ201-1-11111-1-1-1-1-111ii−i−i1-11i−i-11-111-1-1iiii−i−i−i−i-11-11-11-11-1-111-1-11111-1-1ii−i−i1-1ii−i−i−ii−ii-11-11-11-11−ii−ii−i−iii−i−iii1-1i−i1-11-1−ii−ii-11-11i−i1-1i−i
χ211-1-11111-1-1-1-1-111ii−i−i-111−ii-11-111-1-1iiii−i−i−i−i1-11-11-11-111-1-111-1-1-1-111−i−iii1-1ii−i−i−ii−ii-11-111-11-1i−ii−iii−i−iii−i−i-11−ii1-11-1−ii−ii-11-11−ii-11i−i
χ221-1-11111-1-1-1-1-111ii−i−i-111−ii-11-111-1-1iiii−i−i−i−i1-1-111-1-1111-1-1-1-111-1-111−i−iii1-1ii−i−i−iii−i-111-11-1-11i−i−iiii−i−i−i−iii-11−ii-11-11−iii−i-111-1i−i1-1−ii
χ231-1-11111-1-1-1-1-111ii−i−i-111−ii-11-111-1-1iiii−i−i−i−i-111-1-111-1-1-11111-1-1-1-111−i−iii1-1ii−i−ii−i−ii1-1-11-111-1−iii−i−i−iiiii−i−i-11−ii-11-11i−i−ii1-1-11i−i1-1−ii
χ241-1-11111-1-1-1-1-111ii−i−i-111−ii-11-111-1-1iiii−i−i−i−i-11-11-11-11-1-111-1-111-1-111−i−iii1-1ii−i−ii−ii−i1-11-1-11-11−ii−ii−i−iii−i−iii-11−ii1-11-1i−ii−i1-11-1−ii-11i−i
χ251-1-11111-1-1-1-1-111−i−iii1-11−ii-11-111-1-1−i−i−i−iiiii1-11-11-11-111-1-111-1-111-1-1−i−iii1-1−i−iii−ii−ii1-11-11-11-1−ii−ii−i−iii−i−iii1-1−ii1-11-1−ii−ii1-11-1−ii1-1−ii
χ261-1-11111-1-1-1-1-111−i−iii1-11−ii-11-111-1-1−i−i−i−iiiii1-1-111-1-1111-1-1-1-11111-1-1−i−iii1-1−i−iii−iii−i1-1-111-1-11−iii−i−i−iiiii−i−i1-1−ii-11-11−iii−i1-1-11i−i-11i−i
χ271-1-11111-1-1-1-1-111−i−iii1-11−ii-11-111-1-1−i−i−i−iiiii-111-1-111-1-1-11111-1-111-1-1−i−iii1-1−i−iiii−i−ii-111-1-111-1i−i−iiii−i−i−i−iii1-1−ii-11-11i−i−ii-111-1i−i-11i−i
χ281-1-11111-1-1-1-1-111−i−iii1-11−ii-11-111-1-1−i−i−i−iiiii-11-11-11-11-1-111-1-11111-1-1−i−iii1-1−i−iiii−ii−i-11-11-11-11i−ii−iii−i−iii−i−i1-1−ii1-11-1i−ii−i-11-11−ii1-1−ii
χ291-1-11111-1-1-1-1-111−i−iii-111i−i-11-111-1-1−i−i−i−iiiii1-11-11-11-111-1-111-1-1-1-111ii−i−i1-1−i−iiii−ii−i-11-111-11-1−ii−ii−i−iii−i−iii-11i−i1-11-1i−ii−i-11-11i−i-11−ii
χ301-1-11111-1-1-1-1-111−i−iii-111i−i-11-111-1-1−i−i−i−iiiii1-1-111-1-1111-1-1-1-111-1-111ii−i−i1-1−i−iiii−i−ii-111-11-1-11−iii−i−i−iiiii−i−i-11i−i-11-11i−i−ii-111-1−ii1-1i−i
χ311-1-11111-1-1-1-1-111−i−iii-111i−i-11-111-1-1−i−i−i−iiiii-111-1-111-1-1-11111-1-1-1-111ii−i−i1-1−i−iii−iii−i1-1-11-111-1i−i−iiii−i−i−i−iii-11i−i-11-11−iii−i1-1-11−ii1-1i−i
χ321-1-11111-1-1-1-1-111−i−iii-111i−i-11-111-1-1−i−i−i−iiiii-11-11-11-11-1-111-1-111-1-111ii−i−i1-1−i−iii−ii−ii1-11-1-11-11i−ii−iii−i−iii−i−i-11i−i1-11-1−ii−ii1-11-1i−i-11−ii
χ33222222-2-2222222000000200222-2-2-2-2000000002222-2-2-2-2-2-2-2-2-2-2-2-200000000-2-200000000000022220000000000000000-2-22200000000000000
χ34222222-2-2222222000000200222-2-2-2-20000000022-2-2-2-222-2-2-2-2222200000000-2-200000000000022-2-2000000000000000022-2-200000000000000
χ35222222-2-2222222000000200222-2-2-2-200000000-2-22222-2-22222-2-2-2-200000000-2-2000000000000-2-222000000000000000022-2-200000000000000
χ36222222-2-2222222000000200222-2-2-2-200000000-2-2-2-222222222222200000000-2-2000000000000-2-2-2-20000000000000000-2-22200000000000000
χ3722222-1222-12-12-1222222-122-1-1-12-12-122-1-122-1-1002200220000-1-1-1-12-12-12-12-1-1-1-1-1-1-10022002200-1-100220000-1-1-1-1-1-1-1-1000000-1-100-1-1000000
χ3822222-1222-12-12-1222222-122-1-1-12-12-122-1-122-1-100-2-200-2-2000011112-12-12-12-1-1-1-1-1-1-100-2-200-2-2001100-2-200001111-1-1-1-1000000110011000000
χ3922222-1222-12-12-12222-2-2-1-2-2-1-1-12-12-122-1-122-1-1002200220000-1-1-1-1-21-21-21-21-1-1-1-1-1-100-2-200-2-200-1-100220000-1-1-1-11111000000110011000000
χ4022222-1222-12-12-12222-2-2-1-2-2-1-1-12-12-122-1-122-1-100-2-200-2-200001111-21-21-21-21-1-1-1-1-1-100220022001100-2-2000011111111000000-1-100-1-1000000
χ4122222-1222-12-12-1-2-2-2-222-1-2-2-1-1-12-12-1-2-211-2-211002200220000-1-1-1-12-12-1-21-21-1-1111100-2-2002200-1-100-2-200001111-1-1110000001100-1-1000000
χ4222222-1222-12-12-1-2-2-2-222-1-2-2-1-1-12-12-1-2-211-2-21100-2-200-2-2000011112-12-1-21-21-1-11111002200-2-2001100220000-1-1-1-1-1-111000000-1-10011000000
χ4322222-1222-12-12-1-2-2-2-2-2-2-122-1-1-12-12-1-2-211-2-211002200220000-1-1-1-1-21-212-12-1-1-11111002200-2-200-1-100-2-20000111111-1-1000000-1-10011000000
χ4422222-1222-12-12-1-2-2-2-2-2-2-122-1-1-12-12-1-2-211-2-21100-2-200-2-200001111-21-212-12-1-1-1111100-2-20022001100220000-1-1-1-111-1-10000001100-1-1000000
χ452222-1222-12-12-12222222-122-1-1-1-12-12-1-122-1-12222002200-1-1-1-10000-12-12-12-12-1-1-1-1-1-122002200-1-1002200-1-1-1-10000-1-1-1-10000-1-100-1-100000000
χ462222-1222-12-12-12222222-122-1-1-1-12-12-1-122-1-122-2-200-2-20011110000-12-12-12-12-1-1-1-1-1-1-2-200-2-2001100-2-20011110000-1-1-1-1000011001100000000
χ472222-1222-12-12-122222-2-2-1-2-2-1-1-1-12-12-1-122-1-12222002200-1-1-1-100001-21-21-21-2-1-1-1-1-1-1-2-200-2-200-1-1002200-1-1-1-100001111000011001100000000
χ482222-1222-12-12-122222-2-2-1-2-2-1-1-1-12-12-1-122-1-122-2-200-2-200111100001-21-21-21-2-1-1-1-1-1-1220022001100-2-2001111000011110000-1-100-1-100000000
χ492222-1222-12-12-12-2-2-2-222-1-2-2-1-1-1-12-1211-2-211-2-222002200-1-1-1-10000-12-121-21-2-1-11111-2-2002200-1-100-2-20011110000-1-11100001100-1-100000000
χ502222-1222-12-12-12-2-2-2-222-1-2-2-1-1-1-12-1211-2-211-2-2-2-200-2-20011110000-12-121-21-2-1-111112200-2-20011002200-1-1-1-10000-1-1110000-1-1001100000000
χ512222-1222-12-12-12-2-2-2-2-2-2-122-1-1-1-12-1211-2-211-2-222002200-1-1-1-100001-21-2-12-12-1-111112200-2-200-1-100-2-2001111000011-1-10000-1-1001100000000
χ522222-1222-12-12-12-2-2-2-2-2-2-122-1-1-1-12-1211-2-211-2-2-2-200-2-200111100001-21-2-12-12-1-11111-2-200220011002200-1-1-1-1000011-1-100001100-1-100000000
χ532-2-2222-22-2-2-2-222000000200-22-2-2-222000000002-22-2-22-22-2-222-2-22200000000-220000000000002-22-20000000000000000-222-200000000000000
χ542-2-2222-22-2-2-2-222000000200-22-2-2-222000000002-2-22-222-2-2-22222-2-200000000-220000000000002-2-2200000000000000002-2-2200000000000000
χ552-2-2222-22-2-2-2-222000000200-22-2-2-22200000000-222-22-2-2222-2-2-2-22200000000-22000000000000-222-200000000000000002-2-2200000000000000
χ562-2-2222-22-2-2-2-222000000200-22-2-2-22200000000-22-222-22-222-2-222-2-200000000-22000000000000-22-220000000000000000-222-200000000000000
χ572-2-222-12-2-21-212-12i2i−2i−2i2-2-12i−2i1-112-1-212i2i−i−i−2i−2iii002-2002-20000-1-1112-1-212i−i−2ii-11−i−iii002i−2i002-200-11002i−2i0000−i−iii-11−ii000000−ii00-11000000
χ582-2-222-12-2-21-212-12i2i−2i−2i2-2-12i−2i1-112-1-212i2i−i−i−2i−2iii00-2200-22000011-1-12-1-212i−i−2ii-11−i−iii00−2i2i00-22001-100−2i2i0000ii−i−i-11−ii000000i−i001-1000000
χ592-2-222-12-2-21-212-12i2i−2i−2i-22-1−2i2i1-112-1-212i2i−i−i−2i−2iii002-2002-20000-1-111-212-1−2ii2i−i-11−i−iii00−2i2i00-2200-11002i−2i0000−i−iii1-1i−i000000i−i001-1000000
χ602-2-222-12-2-21-212-12i2i−2i−2i-22-1−2i2i1-112-1-212i2i−i−i−2i−2iii00-2200-22000011-1-1-212-1−2ii2i−i-11−i−iii002i−2i002-2001-100−2i2i0000ii−i−i1-1i−i000000−ii00-11000000
χ612-2-222-12-2-21-212-1−2i−2i2i2i2-2-1−2i2i1-112-1-21−2i−2iii2i2i−i−i002-2002-20000-1-1112-1-21−2ii2i−i-11ii−i−i00−2i2i002-200-1100−2i2i0000ii−i−i-11i−i000000i−i00-11000000
χ622-2-222-12-2-21-212-1−2i−2i2i2i2-2-1−2i2i1-112-1-21−2i−2iii2i2i−i−i00-2200-22000011-1-12-1-21−2ii2i−i-11ii−i−i002i−2i00-22001-1002i−2i0000−i−iii-11i−i000000−ii001-1000000
χ632-2-222-12-2-21-212-1−2i−2i2i2i-22-12i−2i1-112-1-21−2i−2iii2i2i−i−i002-2002-20000-1-111-212-12i−i−2ii-11ii−i−i002i−2i00-2200-1100−2i2i0000ii−i−i1-1−ii000000−ii001-1000000
χ642-2-222-12-2-21-212-1−2i−2i2i2i-22-12i−2i1-112-1-21−2i−2iii2i2i−i−i00-2200-22000011-1-1-212-12i−i−2ii-11ii−i−i00−2i2i002-2001-1002i−2i0000−i−iii1-1−ii000000i−i00-11000000
χ652-2-22-122-21-21-2-122i2i−2i−2i2-2-12i−2i1-11-121-2−i−i2i2iii−2i−2i2-2002-200-1-1110000-121-2−i2ii−2i-11−i−iii2i−2i002-200-11002i−2i00−i−iii0000-11−ii0000−ii00-1100000000
χ662-2-22-122-21-21-2-122i2i−2i−2i2-2-12i−2i1-11-121-2−i−i2i2iii−2i−2i-2200-220011-1-10000-121-2−i2ii−2i-11−i−iii−2i2i00-22001-100−2i2i00ii−i−i0000-11−ii0000i−i001-100000000
χ672-2-22-122-21-21-2-122i2i−2i−2i-22-1−2i2i1-11-121-2−i−i2i2iii−2i−2i2-2002-200-1-11100001-2-12i−2i−i2i-11−i−iii−2i2i00-2200-11002i−2i00−i−iii00001-1i−i0000i−i001-100000000
χ682-2-22-122-21-21-2-122i2i−2i−2i-22-1−2i2i1-11-121-2−i−i2i2iii−2i−2i-2200-220011-1-100001-2-12i−2i−i2i-11−i−iii2i−2i002-2001-100−2i2i00ii−i−i00001-1i−i0000−ii00-1100000000
χ692-2-22-122-21-21-2-12−2i−2i2i2i2-2-1−2i2i1-11-121-2ii−2i−2i−i−i2i2i2-2002-200-1-1110000-121-2i−2i−i2i-11ii−i−i−2i2i002-200-1100−2i2i00ii−i−i0000-11i−i0000i−i00-1100000000
χ702-2-22-122-21-21-2-12−2i−2i2i2i2-2-1−2i2i1-11-121-2ii−2i−2i−i−i2i2i-2200-220011-1-10000-121-2i−2i−i2i-11ii−i−i2i−2i00-22001-1002i−2i00−i−iii0000-11i−i0000−ii001-100000000
χ712-2-22-122-21-21-2-12−2i−2i2i2i-22-12i−2i1-11-121-2ii−2i−2i−i−i2i2i2-2002-200-1-11100001-2-12−i2ii−2i-11ii−i−i2i−2i00-2200-1100−2i2i00ii−i−i00001-1−ii0000−ii001-100000000
χ722-2-22-122-21-21-2-12−2i−2i2i2i-22-12i−2i1-11-121-2ii−2i−2i−i−i2i2i-2200-220011-1-100001-2-12−i2ii−2i-11ii−i−i−2i2i002-2001-1002i−2i00−i−iii00001-1−ii0000i−i00-1100000000
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χ984-44-4-24002-4-242-4−2i22i22i2−2i200-200-2220000i2−i2−2i22i2−i2i22i2−2i200000000−232323−2300000000000000i2−i2−i2i20000000000000000i6−i6−i6i600000000000000000000000000
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χ1084-4-44-2-24-42222-2-2−4i−4i4i4i-4414i−4i-11-1-2-2222i2i2i2i−2i−2i−2i−2i000000000000000022-2-2−2i−2i2i2i1-1−i−iii000000000000000000000000-11i−i000000000000000000
χ1098888-4-4-8-8-4-4-4-4-4-4000000200222444400000000000000000000000000000000-2-200000000000000000000000000000000000000000000000000
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χ1128-88-8-4-40044-4-444−4i24i24i2−4i2002002-2-200002i2−2i22i2−2i2−2i22i2−2i22i200000000000000000000000000−i2i2i2−i20000000000000000000000000000000000000000000000
χ1138-88-8-4-40044-4-4444i2−4i2−4i24i2002002-2-20000−2i22i2−2i22i22i2−2i22i2−2i200000000000000000000000000i2−i2−i2i20000000000000000000000000000000000000000000000
χ1148-8-88-4-4-884444-4-4000000200-22-244-4-400000000000000000000000000000000-2200000000000000000000000000000000000000000000000000

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