Finite Group Databasebeta

← Group #11858042

Character table — Group #11858042

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222224444444444444444444466666666666666668888888888888812121212121212121212121212121212121212121212121216161616181818182424242424242424363636363636
order12223344666666888834444666121212122424242424242424222244441212121212121212121212121212121212122424242422224444666688882424242424242424121212122244666612121212224488
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
χ51111111111111111111-1-1-1-11111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111
χ61111111111111111111-1-1-1-111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1
χ71111111111111111111-1-1-1-1111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1
χ81111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111
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
χ1311111111111111-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1
χ1411111111111111-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111-1-1-1-111-1-1-1-111-1-11111
χ1511111111111111-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111
χ1611111111111111-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1111111-1-1-1-1111111-1-1-1-1
χ171-11-1111-1-1-111-1-1ii−i−i1i−i1-1-1-1111-1-1iiii−i−i−i−i1-11-11-11-111-1-111-1-1ii−i−i11-1-11-1ii−i−i1-11-1i−ii−i1-11-1i−ii−iii−i−iii−i−ii−i1-11-11-11-11-1i−ii−i1-1i−ii−i
χ181-11-1111-1-1-111-1-1ii−i−i1i−i1-1-1-1111-1-1iiii−i−i−i−i1-1-111-1-1111-1-1-1-111ii−i−i11-1-11-1ii−i−i1-1-11i−i−ii1-1-11i−i−iiii−i−i−i−iiii−i1-1-11-111-1-11i−i−ii-11−ii−ii
χ191-11-1111-1-1-111-1-1ii−i−i1i−i1-1-1-1111-1-1iiii−i−i−i−i-111-1-111-1-1-11111-1-1ii−i−i11-1-11-1ii−i−i-111-1−iii−i-111-1−iii−i−i−iiiii−i−ii−i1-1-11-11-111-1−iii−i-11−ii−ii
χ201-11-1111-1-1-111-1-1ii−i−i1i−i1-1-1-1111-1-1iiii−i−i−i−i-11-11-11-11-1-111-1-111ii−i−i11-1-11-1ii−i−i-11-11−ii−ii-11-11−ii−ii−i−iii−i−iiii−i1-11-11-1-11-11−ii−ii1-1i−ii−i
χ211-11-1111-1-1-111-1-1ii−i−i1−ii-11-1-1111-1-1iiii−i−i−i−i1-11-11-11-111-1-111-1-1−i−iii-1-1111-1ii−i−i-11-11−ii−ii1-11-1i−ii−iii−i−iii−i−i−ii-111-11-1-11-11−ii−ii-11−iii−i
χ221-11-1111-1-1-111-1-1ii−i−i1−ii-11-1-1111-1-1iiii−i−i−i−i1-1-111-1-1111-1-1-1-111−i−iii-1-1111-1ii−i−i-111-1−iii−i1-1-11i−i−iiii−i−i−i−iii−ii-11-11-11-111-1−iii−i1-1i−i−ii
χ231-11-1111-1-1-111-1-1ii−i−i1−ii-11-1-1111-1-1iiii−i−i−i−i-111-1-111-1-1-11111-1-1−i−iii-1-1111-1ii−i−i1-1-11i−i−ii-111-1−iii−i−i−iiiii−i−i−ii-11-11-111-1-11i−i−ii1-1i−i−ii
χ241-11-1111-1-1-111-1-1ii−i−i1−ii-11-1-1111-1-1iiii−i−i−i−i-11-11-11-11-1-111-1-111−i−iii-1-1111-1ii−i−i1-11-1i−ii−i-11-11−ii−ii−i−iii−i−iii−ii-111-11-11-11-1i−ii−i-11−iii−i
χ251-11-1111-1-1-111-1-1−i−iii1i−i-11-1-1111-1-1−i−i−i−iiiii1-11-11-11-111-1-111-1-1ii−i−i-1-1111-1−i−iii-11-11i−ii−i1-11-1−ii−ii−i−iii−i−iiii−i-111-11-1-11-11i−ii−i-11i−i−ii
χ261-11-1111-1-1-111-1-1−i−iii1i−i-11-1-1111-1-1−i−i−i−iiiii1-1-111-1-1111-1-1-1-111ii−i−i-1-1111-1−i−iii-111-1i−i−ii1-1-11−iii−i−i−iiiii−i−ii−i-11-11-11-111-1i−i−ii1-1−iii−i
χ271-11-1111-1-1-111-1-1−i−iii1i−i-11-1-1111-1-1−i−i−i−iiiii-111-1-111-1-1-11111-1-1ii−i−i-1-1111-1−i−iii1-1-11−iii−i-111-1i−i−iiii−i−i−i−iiii−i-11-11-111-1-11−iii−i1-1−iii−i
χ281-11-1111-1-1-111-1-1−i−iii1i−i-11-1-1111-1-1−i−i−i−iiiii-11-11-11-11-1-111-1-111ii−i−i-1-1111-1−i−iii1-11-1−ii−ii-11-11i−ii−iii−i−iii−i−ii−i-111-11-11-11-1−ii−ii-11i−i−ii
χ291-11-1111-1-1-111-1-1−i−iii1−ii1-1-1-1111-1-1−i−i−i−iiiii1-11-11-11-111-1-111-1-1−i−iii11-1-11-1−i−iii1-11-1−ii−ii1-11-1−ii−ii−i−iii−i−iii−ii1-11-11-11-11-1−ii−ii1-1−ii−ii
χ301-11-1111-1-1-111-1-1−i−iii1−ii1-1-1-1111-1-1−i−i−i−iiiii1-1-111-1-1111-1-1-1-111−i−iii11-1-11-1−i−iii1-1-11−iii−i1-1-11−iii−i−i−iiiii−i−i−ii1-1-11-111-1-11−iii−i-11i−ii−i
χ311-11-1111-1-1-111-1-1−i−iii1−ii1-1-1-1111-1-1−i−i−i−iiiii-111-1-111-1-1-11111-1-1−i−iii11-1-11-1−i−iii-111-1i−i−ii-111-1i−i−iiii−i−i−i−iii−ii1-1-11-11-111-1i−i−ii-11i−ii−i
χ321-11-1111-1-1-111-1-1−i−iii1−ii1-1-1-1111-1-1−i−i−i−iiiii-11-11-11-11-1-111-1-111−i−iii11-1-11-1−i−iii-11-11i−ii−i-11-11i−ii−iii−i−iii−i−i−ii1-11-11-1-11-11i−ii−i1-1−ii−ii
χ33222222-2-2222222000020000222-2-2-2-2000000002222-2-2-2-2-2-2-2-2-2-2-2-200000000-2-200000000000022220000000000000000-2-22200000000000000
χ34222222-2-2222222000020000222-2-2-2-20000000022-2-2-2-222-2-2-2-2222200000000-2-200000000000022-2-2000000000000000022-2-200000000000000
χ35222222-2-2222222000020000222-2-2-2-200000000-2-22222-2-22222-2-2-2-200000000-2-2000000000000-2-222000000000000000022-2-200000000000000
χ36222222-2-2222222000020000222-2-2-2-200000000-2-2-2-222222222222200000000-2-2000000000000-2-2-2-20000000000000000-2-22200000000000000
χ3722222-1222-12-12-12222-12222-1-1-12-12-122-1-122-1-1002200220000-1-1-1-12-12-12-12-1-1-1-1-1-1-10022002200-1-100220000-1-1-1-1-1-1-1-1000000-1-100-1-1000000
χ3822222-1222-12-12-12222-12222-1-1-12-12-122-1-122-1-100-2-200-2-2000011112-12-12-12-1-1-1-1-1-1-100-2-200-2-2001100-2-200001111-1-1-1-1000000110011000000
χ3922222-1222-12-12-12222-1-2-2-2-2-1-1-12-12-122-1-122-1-1002200220000-1-1-1-1-21-21-21-21-1-1-1-1-1-100-2-200-2-200-1-100220000-1-1-1-11111000000110011000000
χ4022222-1222-12-12-12222-1-2-2-2-2-1-1-12-12-122-1-122-1-100-2-200-2-200001111-21-21-21-21-1-1-1-1-1-100220022001100-2-2000011111111000000-1-100-1-1000000
χ4122222-1222-12-12-1-2-2-2-2-122-2-2-1-1-12-12-1-2-211-2-211002200220000-1-1-1-12-12-1-21-21-1-1111100-2-2002200-1-100-2-200001111-1-1110000001100-1-1000000
χ4222222-1222-12-12-1-2-2-2-2-122-2-2-1-1-12-12-1-2-211-2-21100-2-200-2-2000011112-12-1-21-21-1-11111002200-2-2001100220000-1-1-1-1-1-111000000-1-10011000000
χ4322222-1222-12-12-1-2-2-2-2-1-2-222-1-1-12-12-1-2-211-2-211002200220000-1-1-1-1-21-212-12-1-1-11111002200-2-200-1-100-2-20000111111-1-1000000-1-10011000000
χ4422222-1222-12-12-1-2-2-2-2-1-2-222-1-1-12-12-1-2-211-2-21100-2-200-2-200001111-21-212-12-1-1-1111100-2-20022001100220000-1-1-1-111-1-10000001100-1-1000000
χ452222-1222-12-12-122222-12222-1-1-1-12-12-1-122-1-12222002200-1-1-1-10000-12-12-12-12-1-1-1-1-1-122002200-1-1002200-1-1-1-10000-1-1-1-10000-1-100-1-100000000
χ462222-1222-12-12-122222-12222-1-1-1-12-12-1-122-1-122-2-200-2-20011110000-12-12-12-12-1-1-1-1-1-1-2-200-2-2001100-2-20011110000-1-1-1-1000011001100000000
χ472222-1222-12-12-122222-1-2-2-2-2-1-1-1-12-12-1-122-1-12222002200-1-1-1-100001-21-21-21-2-1-1-1-1-1-1-2-200-2-200-1-1002200-1-1-1-100001111000011001100000000
χ482222-1222-12-12-122222-1-2-2-2-2-1-1-1-12-12-1-122-1-122-2-200-2-200111100001-21-21-21-2-1-1-1-1-1-1220022001100-2-2001111000011110000-1-100-1-100000000
χ492222-1222-12-12-12-2-2-2-2-122-2-2-1-1-1-12-1211-2-211-2-222002200-1-1-1-10000-12-121-21-2-1-11111-2-2002200-1-100-2-20011110000-1-11100001100-1-100000000
χ502222-1222-12-12-12-2-2-2-2-122-2-2-1-1-1-12-1211-2-211-2-2-2-200-2-20011110000-12-121-21-2-1-111112200-2-20011002200-1-1-1-10000-1-1110000-1-1001100000000
χ512222-1222-12-12-12-2-2-2-2-1-2-222-1-1-1-12-1211-2-211-2-222002200-1-1-1-100001-21-2-12-12-1-111112200-2-200-1-100-2-2001111000011-1-10000-1-1001100000000
χ522222-1222-12-12-12-2-2-2-2-1-2-222-1-1-1-12-1211-2-211-2-2-2-200-2-200111100001-21-2-12-12-1-11111-2-200220011002200-1-1-1-1000011-1-100001100-1-100000000
χ532-22-222-22-2-222-2-2000020000-2-22-2-222000000002-22-2-22-22-2-222-2-22200000000-220000000000002-22-20000000000000000-222-200000000000000
χ542-22-222-22-2-222-2-2000020000-2-22-2-222000000002-2-22-222-2-2-22222-2-200000000-220000000000002-2-2200000000000000002-2-2200000000000000
χ552-22-222-22-2-222-2-2000020000-2-22-2-22200000000-222-22-2-2222-2-2-2-22200000000-22000000000000-222-200000000000000002-2-2200000000000000
χ562-22-222-22-2-222-2-2000020000-2-22-2-22200000000-22-222-22-222-2-222-2-200000000-22000000000000-22-220000000000000000-222-200000000000000
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χ582-22-22-12-2-212-1-212i2i−2i−2i-12i−2i2-211-12-1-212i2i−i−i−2i−2iii00-2200-22000011-1-12i−i−2ii2-1-21-11−i−iii00-2200−2i2i001-100−2i2i0000ii−i−i−ii-110000001-100i−i000000
χ592-22-22-12-2-212-1-212i2i−2i−2i-1−2i2i-2211-12-1-212i2i−i−i−2i−2iii002-2002-20000-1-111−2ii2i−i-212-1-11−i−iii00-2200−2i2i00-11002i−2i0000−i−iiii−i1-10000001-100i−i000000
χ602-22-22-12-2-212-1-212i2i−2i−2i-1−2i2i-2211-12-1-212i2i−i−i−2i−2iii00-2200-22000011-1-1−2ii2i−i-212-1-11−i−iii002-2002i−2i001-100−2i2i0000ii−i−ii−i1-1000000-1100−ii000000
χ612-22-22-12-2-212-1-21−2i−2i2i2i-12i−2i-2211-12-1-21−2i−2iii2i2i−i−i002-2002-20000-1-1112i−i−2ii-212-1-11ii−i−i00-22002i−2i00-1100−2i2i0000ii−i−i−ii1-10000001-100−ii000000
χ622-22-22-12-2-212-1-21−2i−2i2i2i-12i−2i-2211-12-1-21−2i−2iii2i2i−i−i00-2200-22000011-1-12i−i−2ii-212-1-11ii−i−i002-200−2i2i001-1002i−2i0000−i−iii−ii1-1000000-1100i−i000000
χ632-22-22-12-2-212-1-21−2i−2i2i2i-1−2i2i2-211-12-1-21−2i−2iii2i2i−i−i002-2002-20000-1-111−2ii2i−i2-1-21-11ii−i−i002-200−2i2i00-1100−2i2i0000ii−i−ii−i-11000000-1100i−i000000
χ642-22-22-12-2-212-1-21−2i−2i2i2i-1−2i2i2-211-12-1-21−2i−2iii2i2i−i−i00-2200-22000011-1-1−2ii2i−i2-1-21-11ii−i−i00-22002i−2i001-1002i−2i0000−i−iiii−i-110000001-100−ii000000
χ652-22-2-122-21-2-121-22i2i−2i−2i-12i−2i2-211-1-121-2−i−i2i2iii−2i−2i2-2002-200-1-1110000−i2ii−2i-121-2-11−i−iii2-2002i−2i00-11002i−2i00−i−iii0000−ii-110000-1100−ii00000000
χ662-22-2-122-21-2-121-22i2i−2i−2i-12i−2i2-211-1-121-2−i−i2i2iii−2i−2i-2200-220011-1-10000−i2ii−2i-121-2-11−i−iii-2200−2i2i001-100−2i2i00ii−i−i0000−ii-1100001-100i−i00000000
χ672-22-2-122-21-2-121-22i2i−2i−2i-1−2i2i-2211-1-121-2−i−i2i2iii−2i−2i2-2002-200-1-1110000i−2i−i2i1-2-12-11−i−iii-2200−2i2i00-11002i−2i00−i−iii0000i−i1-100001-100i−i00000000
χ682-22-2-122-21-2-121-22i2i−2i−2i-1−2i2i-2211-1-121-2−i−i2i2iii−2i−2i-2200-220011-1-10000i−2i−i2i1-2-12-11−i−iii2-2002i−2i001-100−2i2i00ii−i−i0000i−i1-10000-1100−ii00000000
χ692-22-2-122-21-2-121-2−2i−2i2i2i-12i−2i-2211-1-121-2ii−2i−2i−i−i2i2i2-2002-200-1-1110000−i2ii−2i1-2-12-11ii−i−i-22002i−2i00-1100−2i2i00ii−i−i0000−ii1-100001-100−ii00000000
χ702-22-2-122-21-2-121-2−2i−2i2i2i-12i−2i-2211-1-121-2ii−2i−2i−i−i2i2i-2200-220011-1-10000−i2ii−2i1-2-12-11ii−i−i2-200−2i2i001-1002i−2i00−i−iii0000−ii1-10000-1100i−i00000000
χ712-22-2-122-21-2-121-2−2i−2i2i2i-1−2i2i2-211-1-121-2ii−2i−2i−i−i2i2i2-2002-200-1-1110000i−2i−i2i-121-2-11ii−i−i2-200−2i2i00-1100−2i2i00ii−i−i0000i−i-110000-1100i−i00000000
χ722-22-2-122-21-2-121-2−2i−2i2i2i-1−2i2i2-211-1-121-2ii−2i−2i−i−i2i2i-2200-220011-1-10000i−2i−i2i-121-2-11ii−i−i-22002i−2i001-1002i−2i00−i−iii0000i−i-1100001-100−ii00000000
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χ994-4-444400-4-4-4-44422−22−2222400004-4-4000022−2222−22−2222−22220000000000000000000000000022−22−22220000000000000000000000000000000000000000000000
χ1004-4-444400-4-4-4-444−222222−22400004-4-40000−2222−222222−2222−2200000000000000000000000000−222222−220000000000000000000000000000000000000000000000
χ1014-4-444-200-42-424-222−22−2222-20000-222000022−22−22−22222−200000000000023−23−23230000000000−222−200000000000000000000−666−60000000000000000000000
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χ1034-4-444-200-42-424-2−222222−22-20000-2220000−22222−222−22−2200000000000023−23−232300000000002−2−22000000000000000000006−6−660000000000000000000000
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χ1054-4-44-24002-42-4-2422−22−2222-20000-2220000−2222−222−2−22220000000023−23−232300000000000000−222−20000000000000000−666−600000000000000000000000000
χ1064-4-44-24002-42-4-2422−22−2222-20000-2220000−2222−222−2−222200000000−232323−2300000000000000−222−200000000000000006−6−6600000000000000000000000000
χ1074-4-44-24002-42-4-24−222222−22-20000-22200002−2−2222−2222−220000000023−23−2323000000000000002−2−2200000000000000006−6−6600000000000000000000000000
χ1084-4-44-24002-42-4-24−222222−22-20000-22200002−2−2222−2222−2200000000−232323−23000000000000002−2−220000000000000000−666−600000000000000000000000000
χ1098888-4-4-8-8-4-4-4-4-4-4000020000222444400000000000000000000000000000000-2-200000000000000000000000000000000000000000000000000
χ11088-8-8-4-400-4-44444−4i24i2−4i24i220000-22-200002i2−2i22i2−2i22i2−2i22i2−2i200000000000000000000000000−i2i2−i2i20000000000000000000000000000000000000000000000
χ11188-8-8-4-400-4-444444i2−4i24i2−4i220000-22-20000−2i22i2−2i22i2−2i22i2−2i22i200000000000000000000000000i2−i2i2−i20000000000000000000000000000000000000000000000
χ1128-88-8-4-4-8844-4-444000020000-2-2244-4-400000000000000000000000000000000-2200000000000000000000000000000000000000000000000000
χ1138-8-88-4-4004444-4-442−42−4242200002-2-20000−2222−222222−2222−22000000000000000000000000002−2−220000000000000000000000000000000000000000000000
χ1148-8-88-4-4004444-4-4−424242−42200002-2-2000022−2222−22−2222−222200000000000000000000000000−222−20000000000000000000000000000000000000000000000

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