Finite Group Databasebeta

← Group #11860654

Character table — Group #11860654

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222224444444444444444444466666666666666668888888888888812121212121212121212121212121212121212121212121216161616181818182424242424242424363636363636
order1222334466666688883444466612121212242424242424242444444444121212121212121212121212121212121212242424244444444488881212121224242424242424241212121222441212121212121212224488
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
χ911111111111111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-111-1-1
χ1011111111111111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-111
χ1111111111111111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-111
χ1211111111111111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-11111-1-1-1-11111-1-111-1-1
χ1311111111111111-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1
χ1411111111111111-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-11111
χ1511111111111111-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-11111
χ1611111111111111-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-11111111111-1-1-1-111-1-1-1-1
χ171-11-1111-1-1-111-1-1ii−i−i1i−i1-1-1-11-1-111iiii−i−i−i−ii−ii−ii−ii−iii−i−iii−i−i11-1-1ii−i−i1-1ii−i−ii−ii−i1-11-11-11-1i−ii−i11-1-111-1-1i−i1-11-11-11-11-1i−ii−i1-1i−ii−i
χ181-11-1111-1-1-111-1-1ii−i−i1i−i1-1-1-11-1-111iiii−i−i−i−ii−i−iii−i−iiii−i−i−i−iii11-1-1ii−i−i1-1ii−i−ii−i−ii1-1-111-1-11i−i−ii11-1-1-1-111i−i1-1-11-111-1-11i−i−ii-11−ii−ii
χ191-11-1111-1-1-111-1-1ii−i−i1i−i1-1-1-11-1-111iiii−i−i−i−i−iii−i−iii−i−i−iiiii−i−i11-1-1ii−i−i1-1ii−i−i−iii−i-111-1-111-1−iii−i-1-11111-1-1i−i1-1-11-11-111-1−iii−i-11−ii−ii
χ201-11-1111-1-1-111-1-1ii−i−i1i−i1-1-1-11-1-111iiii−i−i−i−i−ii−ii−ii−ii−i−iii−i−iii11-1-1ii−i−i1-1ii−i−i−ii−ii-11-11-11-11−ii−ii-1-111-1-111i−i1-11-11-1-11-11−ii−ii1-1i−ii−i
χ211-11-1111-1-1-111-1-1ii−i−i1−ii-11-1-11-1-111iiii−i−i−i−ii−ii−ii−ii−iii−i−iii−i−i-1-111−i−iii1-1ii−i−i−ii−ii-11-111-11-1i−ii−i11-1-111-1-1−ii-111-11-1-11-11−ii−ii-11−iii−i
χ221-11-1111-1-1-111-1-1ii−i−i1−ii-11-1-11-1-111iiii−i−i−i−ii−i−iii−i−iiii−i−i−i−iii-1-111−i−iii1-1ii−i−i−iii−i-111-11-1-11i−i−ii11-1-1-1-111−ii-11-11-11-111-1−iii−i1-1i−i−ii
χ231-11-1111-1-1-111-1-1ii−i−i1−ii-11-1-11-1-111iiii−i−i−i−i−iii−i−iii−i−i−iiiii−i−i-1-111−i−iii1-1ii−i−ii−i−ii1-1-11-111-1−iii−i-1-11111-1-1−ii-11-11-111-1-11i−i−ii1-1i−i−ii
χ241-11-1111-1-1-111-1-1ii−i−i1−ii-11-1-11-1-111iiii−i−i−i−i−ii−ii−ii−ii−i−iii−i−iii-1-111−i−iii1-1ii−i−ii−ii−i1-11-1-11-11−ii−ii-1-111-1-111−ii-111-11-11-11-1i−ii−i-11−iii−i
χ251-11-1111-1-1-111-1-1−i−iii1i−i-11-1-11-1-111−i−i−i−iiiiii−ii−ii−ii−iii−i−iii−i−i-1-111ii−i−i1-1−i−iii−ii−ii1-11-1-11-11i−ii−i-1-111-1-111i−i-111-11-11-11-1−ii−ii-11i−i−ii
χ261-11-1111-1-1-111-1-1−i−iii1i−i-11-1-11-1-111−i−i−i−iiiiii−i−iii−i−iiii−i−i−i−iii-1-111ii−i−i1-1−i−iii−iii−i1-1-11-111-1i−i−ii-1-11111-1-1i−i-11-11-111-1-11−iii−i1-1−iii−i
χ271-11-1111-1-1-111-1-1−i−iii1i−i-11-1-11-1-111−i−i−i−iiiii−iii−i−iii−i−i−iiiii−i−i-1-111ii−i−i1-1−i−iiii−i−ii-111-11-1-11−iii−i11-1-1-1-111i−i-11-11-11-111-1i−i−ii1-1−iii−i
χ281-11-1111-1-1-111-1-1−i−iii1i−i-11-1-11-1-111−i−i−i−iiiii−ii−ii−ii−ii−i−iii−i−iii-1-111ii−i−i1-1−i−iiii−ii−i-11-111-11-1−ii−ii11-1-111-1-1i−i-111-11-1-11-11i−ii−i-11i−i−ii
χ291-11-1111-1-1-111-1-1−i−iii1−ii1-1-1-11-1-111−i−i−i−iiiiii−ii−ii−ii−iii−i−iii−i−i11-1-1−i−iii1-1−i−iiii−ii−i-11-11-11-11i−ii−i-1-111-1-111−ii1-11-11-1-11-11i−ii−i1-1−ii−ii
χ301-11-1111-1-1-111-1-1−i−iii1−ii1-1-1-11-1-111−i−i−i−iiiiii−i−iii−i−iiii−i−i−i−iii11-1-1−i−iii1-1−i−iiii−i−ii-111-1-111-1i−i−ii-1-11111-1-1−ii1-1-11-11-111-1i−i−ii-11i−ii−i
χ311-11-1111-1-1-111-1-1−i−iii1−ii1-1-1-11-1-111−i−i−i−iiiii−iii−i−iii−i−i−iiiii−i−i11-1-1−i−iii1-1−i−iii−iii−i1-1-111-1-11−iii−i11-1-1-1-111−ii1-1-11-111-1-11−iii−i-11i−ii−i
χ321-11-1111-1-1-111-1-1−i−iii1−ii1-1-1-11-1-111−i−i−i−iiiii−ii−ii−ii−ii−i−iii−i−iii11-1-1−i−iii1-1−i−iii−ii−ii1-11-11-11-1−ii−ii11-1-111-1-1−ii1-11-11-11-11-1−ii−ii1-1−ii−ii
χ33222222-2-2222222000020000222-2-2-2-2000000002222-2-2-2-2-2-2-2-2-2-2-2-200000000-2-200000000000000002222000000000000-2-22200000000000000
χ34222222-2-2222222000020000222-2-2-2-20000000022-2-2-2-222-2-2-2-2222200000000-2-2000000000000000022-2-200000000000022-2-200000000000000
χ35222222-2-2222222000020000222-2-2-2-200000000-2-22222-2-22222-2-2-2-200000000-2-20000000000000000-2-22200000000000022-2-200000000000000
χ36222222-2-2222222000020000222-2-2-2-200000000-2-2-2-222222222222200000000-2-20000000000000000-2-2-2-2000000000000-2-22200000000000000
χ3722222-1222-12-12-12222-12222-1-1-12-12-122-1-122-1-1002200220000-1-1-1-12-12-12-12-1-1-1-1-1-1-100220022002200-1-10000-1-1-1-1-1-1-1-1000000-1-100-1-1000000
χ3822222-1222-12-12-12222-12222-1-1-12-12-122-1-122-1-100-2-200-2-2000011112-12-12-12-1-1-1-1-1-1-100-2-200-2-200-2-2001100001111-1-1-1-1000000110011000000
χ3922222-1222-12-12-12222-1-2-2-2-2-1-1-12-12-122-1-122-1-1002200220000-1-1-1-1-21-21-21-21-1-1-1-1-1-100-2-200-2-2002200-1-10000-1-1-1-11111000000110011000000
χ4022222-1222-12-12-12222-1-2-2-2-2-1-1-12-12-122-1-122-1-100-2-200-2-200001111-21-21-21-21-1-1-1-1-1-10022002200-2-20011000011111111000000-1-100-1-1000000
χ4122222-1222-12-12-1-2-2-2-2-122-2-2-1-1-12-12-1-2-211-2-211002200220000-1-1-1-1-21-212-12-1-1-1111100-2-2002200-2-200-1-100001111-1-111000000-1-10011000000
χ4222222-1222-12-12-1-2-2-2-2-122-2-2-1-1-12-12-1-2-211-2-21100-2-200-2-200001111-21-212-12-1-1-11111002200-2-2002200110000-1-1-1-1-1-1110000001100-1-1000000
χ4322222-1222-12-12-1-2-2-2-2-1-2-222-1-1-12-12-1-2-211-2-211002200220000-1-1-1-12-12-1-21-21-1-11111002200-2-200-2-200-1-10000111111-1-10000001100-1-1000000
χ4422222-1222-12-12-1-2-2-2-2-1-2-222-1-1-12-12-1-2-211-2-21100-2-200-2-2000011112-12-1-21-21-1-1111100-2-20022002200110000-1-1-1-111-1-1000000-1-10011000000
χ452222-1222-12-12-122222-12222-1-1-1-12-12-1-122-1-12222002200-1-1-1-10000-12-12-12-12-1-1-1-1-1-1220022002200-1-100-1-1-1-10000-1-1-1-10000-1-100-1-100000000
χ462222-1222-12-12-122222-12222-1-1-1-12-12-1-122-1-122-2-200-2-20011110000-12-12-12-12-1-1-1-1-1-1-2-200-2-200-2-200110011110000-1-1-1-1000011001100000000
χ472222-1222-12-12-122222-1-2-2-2-2-1-1-1-12-12-1-122-1-12222002200-1-1-1-100001-21-21-21-2-1-1-1-1-1-1-2-200-2-2002200-1-100-1-1-1-100001111000011001100000000
χ482222-1222-12-12-122222-1-2-2-2-2-1-1-1-12-12-1-122-1-122-2-200-2-200111100001-21-21-21-2-1-1-1-1-1-122002200-2-20011001111000011110000-1-100-1-100000000
χ492222-1222-12-12-12-2-2-2-2-122-2-2-1-1-1-12-1211-2-211-2-222002200-1-1-1-100001-21-2-12-12-1-11111-2-2002200-2-200-1-10011110000-1-1110000-1-1001100000000
χ502222-1222-12-12-12-2-2-2-2-122-2-2-1-1-1-12-1211-2-211-2-2-2-200-2-200111100001-21-2-12-12-1-111112200-2-20022001100-1-1-1-10000-1-11100001100-1-100000000
χ512222-1222-12-12-12-2-2-2-2-1-2-222-1-1-1-12-1211-2-211-2-222002200-1-1-1-10000-12-121-21-2-1-111112200-2-200-2-200-1-1001111000011-1-100001100-1-100000000
χ522222-1222-12-12-12-2-2-2-2-1-2-222-1-1-1-12-1211-2-211-2-2-2-200-2-20011110000-12-121-21-2-1-11111-2-200220022001100-1-1-1-1000011-1-10000-1-1001100000000
χ532-22-222-22-2-222-2-2000020000-2-2222-2-2000000002i−2i2i−2i−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i00000000-2200000000000000002i−2i2i−2i000000000000-222-200000000000000
χ542-22-222-22-2-222-2-2000020000-2-2222-2-2000000002i−2i−2i2i−2i2i2i−2i−2i−2i2i2i2i2i−2i−2i00000000-2200000000000000002i−2i−2i2i0000000000002-2-2200000000000000
χ552-22-222-22-2-222-2-2000020000-2-2222-2-200000000−2i2i2i−2i2i−2i−2i2i2i2i−2i−2i−2i−2i2i2i00000000-220000000000000000−2i2i2i−2i0000000000002-2-2200000000000000
χ562-22-222-22-2-222-2-2000020000-2-2222-2-200000000−2i2i−2i2i2i−2i2i−2i2i2i−2i−2i2i2i−2i−2i00000000-220000000000000000−2i2i−2i2i000000000000-222-200000000000000
χ572-22-22-12-2-212-1-212i2i−2i−2i-12i−2i2-211-1-212-12i2i−i−i−2i−2iii002i−2i002i−2i0000−i−iii2-1-212i−i−2ii-11−i−iii002i−2i002-2002-200−ii0000-1-111−ii-11000000-1100−ii000000
χ582-22-22-12-2-212-1-212i2i−2i−2i-12i−2i2-211-1-212-12i2i−i−i−2i−2iii00−2i2i00−2i2i0000ii−i−i2-1-212i−i−2ii-11−i−iii00−2i2i00-2200-2200i−i000011-1-1−ii-110000001-100i−i000000
χ592-22-22-12-2-212-1-212i2i−2i−2i-1−2i2i-2211-1-212-12i2i−i−i−2i−2iii002i−2i002i−2i0000−i−iii-212-1−2ii2i−i-11−i−iii00−2i2i00-22002-200−ii0000-1-111i−i1-10000001-100i−i000000
χ602-22-22-12-2-212-1-212i2i−2i−2i-1−2i2i-2211-1-212-12i2i−i−i−2i−2iii00−2i2i00−2i2i0000ii−i−i-212-1−2ii2i−i-11−i−iii002i−2i002-200-2200i−i000011-1-1i−i1-1000000-1100−ii000000
χ612-22-22-12-2-212-1-21−2i−2i2i2i-12i−2i-2211-1-212-1−2i−2iii2i2i−i−i002i−2i002i−2i0000−i−iii-212-12i−i−2ii-11ii−i−i00−2i2i002-200-2200−ii000011-1-1−ii1-1000000-1100i−i000000
χ622-22-22-12-2-212-1-21−2i−2i2i2i-12i−2i-2211-1-212-1−2i−2iii2i2i−i−i00−2i2i00−2i2i0000ii−i−i-212-12i−i−2ii-11ii−i−i002i−2i00-22002-200i−i0000-1-111−ii1-10000001-100−ii000000
χ632-22-22-12-2-212-1-21−2i−2i2i2i-1−2i2i2-211-1-212-1−2i−2iii2i2i−i−i002i−2i002i−2i0000−i−iii2-1-21−2ii2i−i-11ii−i−i002i−2i00-2200-2200−ii000011-1-1i−i-110000001-100−ii000000
χ642-22-22-12-2-212-1-21−2i−2i2i2i-1−2i2i2-211-1-212-1−2i−2iii2i2i−i−i00−2i2i00−2i2i0000ii−i−i2-1-21−2ii2i−i-11ii−i−i00−2i2i002-2002-200i−i0000-1-111i−i-11000000-1100i−i000000
χ652-22-2-122-21-2-121-22i2i−2i−2i-12i−2i2-211-11-2-12−i−i2i2iii−2i−2i2i−2i002i−2i00−i−iii0000-121-2−i2ii−2i-11−i−iii2i−2i002-2002-200−ii00-1-1110000−ii-110000-1100−ii00000000
χ662-22-2-122-21-2-121-22i2i−2i−2i-12i−2i2-211-11-2-12−i−i2i2iii−2i−2i−2i2i00−2i2i00ii−i−i0000-121-2−i2ii−2i-11−i−iii−2i2i00-2200-2200i−i0011-1-10000−ii-1100001-100i−i00000000
χ672-22-2-122-21-2-121-22i2i−2i−2i-1−2i2i-2211-11-2-12−i−i2i2iii−2i−2i2i−2i002i−2i00−i−iii00001-2-12i−2i−i2i-11−i−iii−2i2i00-22002-200−ii00-1-1110000i−i1-100001-100i−i00000000
χ682-22-2-122-21-2-121-22i2i−2i−2i-1−2i2i-2211-11-2-12−i−i2i2iii−2i−2i−2i2i00−2i2i00ii−i−i00001-2-12i−2i−i2i-11−i−iii2i−2i002-200-2200i−i0011-1-10000i−i1-10000-1100−ii00000000
χ692-22-2-122-21-2-121-2−2i−2i2i2i-12i−2i-2211-11-2-12ii−2i−2i−i−i2i2i2i−2i002i−2i00−i−iii00001-2-12−i2ii−2i-11ii−i−i−2i2i002-200-2200−ii0011-1-10000−ii1-10000-1100i−i00000000
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χ1128-88-8-4-4-8844-4-444000020000-2-22-4-44400000000000000000000000000000000-2200000000000000000000000000000000000000000000000000
χ1138-8-88-4-400-4-4444442−42−4242200002-2-20000−2222−222222−2222−22000000000000000000000000002−2−220000000000000000000000000000000000000000000000
χ1148-8-88-4-400-4-44444−424242−42200002-2-2000022−2222−22−2222−222200000000000000000000000000−222−20000000000000000000000000000000000000000000000

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