Finite Group Databasebeta

← Group #11858097

Character table — Group #11858097

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222224444444444444466666666888888888888888888121212121212121212121212121212121212121216161616181818181818181824242424242424242424242436363636
order122233446666662234466688121212122222444466661212121212122424242424242424444444446666888812121212661212224488881212121212121212242424244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-111-1-111111111111111111111-1-111-1-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1
χ31111111111111111111111111111-1-111-1-111111111111111111111-1-111-1-111-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111-1-1111-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ611111111111111111-1-1111-1-1111111-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ711111111111111111-1-1111-1-11111-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1
χ811111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-111
χ911111111111111-1-1111111-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1
χ1011111111111111-1-1111111-1-1111111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-111-1-111
χ1111111111111111-1-1111111-1-11111-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-11111-1-111-1-1-1-111
χ1211111111111111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1
χ1311111111111111-1-11-1-111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ1411111111111111-1-11-1-111111111111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111
χ1511111111111111-1-11-1-1111111111-1-111-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111
χ1611111111111111-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ171-1-11111-1-1-1-1-1111-11i−i-11-1i−i11-1-11-11-11-11-111-1-1ii−i−i1-1ii−i−iii−i−ii−ii−i1-11-11-11-1i−ii−i1-11-11-1i−i1-11-1ii−i−ii−ii−i1-11-1i−ii−ii−i1-1
χ181-1-11111-1-1-1-1-1111-11i−i-11-1i−i11-1-11-1-111-1-1111-1-1ii−i−i1-1ii−i−iii−i−ii−i−ii1-1-111-1-11i−i−ii1-1-111-1i−i-11-11−i−iiii−i−ii1-1-11i−i−ii−ii-11
χ191-1-11111-1-1-1-1-1111-11i−i-11-1i−i11-1-1-111-1-111-111-1-1ii−i−i1-1ii−i−iii−i−i−iii−i-111-1-111-1−iii−i-111-11-1i−i-11-11−i−iii−iii−i-111-1−iii−i−ii-11
χ201-1-11111-1-1-1-1-1111-11i−i-11-1i−i11-1-1-11-11-11-1111-1-1ii−i−i1-1ii−i−iii−i−i−ii−ii-11-11-11-11−ii−ii-11-111-1i−i1-11-1ii−i−i−ii−ii-11-11−ii−iii−i1-1
χ211-1-11111-1-1-1-1-1111-11−ii-11-1−ii11-1-11-11-11-11-111-1-1−i−iii1-1−i−iii−i−iii−ii−ii1-11-11-11-1−ii−ii1-11-11-1−ii1-11-1−i−iii−ii−ii1-11-1−ii−ii−ii1-1
χ221-1-11111-1-1-1-1-1111-11−ii-11-1−ii11-1-11-1-111-1-1111-1-1−i−iii1-1−i−iii−i−iii−iii−i1-1-111-1-11−iii−i1-1-111-1−ii-11-11ii−i−i−iii−i1-1-11−iii−ii−i-11
χ231-1-11111-1-1-1-1-1111-11−ii-11-1−ii11-1-1-111-1-111-111-1-1−i−iii1-1−i−iii−i−iiii−i−ii-111-1-111-1i−i−ii-111-11-1−ii-11-11ii−i−ii−i−ii-111-1i−i−iii−i-11
χ241-1-11111-1-1-1-1-1111-11−ii-11-1−ii11-1-1-11-11-11-1111-1-1−i−iii1-1−i−iii−i−iiii−ii−i-11-11-11-11i−ii−i-11-111-1−ii1-11-1−i−iiii−ii−i-11-11i−ii−i−ii1-1
χ251-1-11111-1-1-1-1-111-111i−i-11-1−ii11-1-11-11-11-11-1-1-111ii−i−i1-1−i−iii−i−iiii−ii−i-11-111-11-1−ii−ii1-11-1-11i−i1-11-1−i−iiii−ii−i-11-11−ii−iii−i-11
χ261-1-11111-1-1-1-1-111-111i−i-11-1−ii11-1-11-1-111-1-11-1-111ii−i−i1-1−i−iii−i−iiii−i−ii-111-11-1-11−iii−i1-1-11-11i−i-11-11ii−i−ii−i−ii-111-1−iii−i−ii1-1
χ271-1-11111-1-1-1-1-111-111i−i-11-1−ii11-1-1-111-1-111-1-1-111ii−i−i1-1−i−iii−i−iii−iii−i1-1-11-111-1i−i−ii-111-1-11i−i-11-11ii−i−i−iii−i1-1-11i−i−ii−ii1-1
χ281-1-11111-1-1-1-1-111-111i−i-11-1−ii11-1-1-11-11-11-11-1-111ii−i−i1-1−i−iii−i−iii−ii−ii1-11-1-11-11i−ii−i-11-11-11i−i1-11-1−i−iii−ii−ii1-11-1i−ii−ii−i-11
χ291-1-11111-1-1-1-1-111-111−ii-11-1i−i11-1-11-11-11-11-1-1-111−i−iii1-1ii−i−iii−i−i−ii−ii-11-111-11-1i−ii−i1-11-1-11−ii1-11-1ii−i−i−ii−ii-11-11i−ii−i−ii-11
χ301-1-11111-1-1-1-1-111-111−ii-11-1i−i11-1-11-1-111-1-11-1-111−i−iii1-1ii−i−iii−i−i−iii−i-111-11-1-11i−i−ii1-1-11-11−ii-11-11−i−iii−iii−i-111-1i−i−iii−i1-1
χ311-1-11111-1-1-1-1-111-111−ii-11-1i−i11-1-1-111-1-111-1-1-111−i−iii1-1ii−i−iii−i−ii−i−ii1-1-11-111-1−iii−i-111-1-11−ii-11-11−i−iiii−i−ii1-1-11−iii−ii−i1-1
χ321-1-11111-1-1-1-1-111-111−ii-11-1i−i11-1-1-11-11-11-11-1-111−i−iii1-1ii−i−iii−i−ii−ii−i1-11-1-11-11−ii−ii-11-11-11−ii1-11-1ii−i−ii−ii−i1-11-1−ii−ii−ii-11
χ33222222-2-22222220020022200-2-2-2-22222-2-2-2-200000000-2-2000000000000000022220000-2-2-2-20000-2-22200000000000000000000
χ34222222-2-22222220020022200-2-2-2-222-2-2-2-22200000000-2-2000000000000000022-2-20000-2-222000022-2-200000000000000000000
χ35222222-2-22222220020022200-2-2-2-2-2-22222-2-200000000-2-20000000000000000-2-222000022-2-2000022-2-200000000000000000000
χ36222222-2-22222220020022200-2-2-2-2-2-2-2-2222200000000-2-20000000000000000-2-2-2-2000022220000-2-22200000000000000000000
χ3722222-1222-12-12-122-122-1-1-1222-12-1002200222-12-12-12-1-1-12-12-1-1-1-1-10022002200-1-1002200-1-1-1-1-1-10000000000-1-100-1-100-1-10000
χ3822222-1222-12-12-122-122-1-1-1222-12-100-2-200-2-22-12-12-12-1-1-12-12-1-1-1-1-100-2-200-2-2001100-2-20011-1-1-1-1000000000011001100110000
χ3922222-1222-12-12-122-1-2-2-1-1-1-2-22-12-1002200222-12-1-21-21-1-1-21-21111100-2-2002200-1-100-2-200-1-1-1-11100000000001100-1-100110000
χ4022222-1222-12-12-122-1-2-2-1-1-1-2-22-12-100-2-200-2-22-12-1-21-21-1-1-21-211111002200-2-2001100220011-1-1110000000000-1-1001100-1-10000
χ4122222-1222-12-12-1-2-2-122-1-1-1-2-22-12-100220022-21-212-12-1-1-1-21-211111002200-2-200-1-100-2-200-1-111-1-10000000000-1-1001100110000
χ4222222-1222-12-12-1-2-2-122-1-1-1-2-22-12-100-2-200-2-2-21-212-12-1-1-1-21-21111100-2-2002200110022001111-1-100000000001100-1-100-1-10000
χ4322222-1222-12-12-1-2-2-1-2-2-1-1-1222-12-100220022-21-21-21-21-1-12-12-1-1-1-1-100-2-200-2-200-1-1002200-1-11111000000000011001100-1-10000
χ4422222-1222-12-12-1-2-2-1-2-2-1-1-1222-12-100-2-200-2-2-21-21-21-21-1-12-12-1-1-1-1-100220022001100-2-2001111110000000000-1-100-1-100110000
χ452222-1222-12-12-1222-122-1-1-122-12-1222002200-12-12-12-12-1-1-12-12-1-1-1-122002200-1-1002200-1-100-1-1-1-100000000-1-100-1-100-1-1000000
χ462222-1222-12-12-1222-122-1-1-122-12-12-2-200-2-200-12-12-12-12-1-1-12-12-1-1-1-1-2-200-2-2001100-2-2001100-1-1-1-1000000001100110011000000
χ472222-1222-12-12-1222-1-2-2-1-1-1-2-2-12-1222002200-12-121-21-2-1-11-21-21111-2-2002200-1-100-2-200-1-100-1-111000000001100-1-10011000000
χ482222-1222-12-12-1222-1-2-2-1-1-1-2-2-12-12-2-200-2-200-12-121-21-2-1-11-21-211112200-2-200110022001100-1-11100000000-1-1001100-1-1000000
χ492222-1222-12-12-12-2-2-122-1-1-1-2-2-12-12220022001-21-2-12-12-1-11-21-211112200-2-200-1-100-2-200-1-10011-1-100000000-1-100110011000000
χ502222-1222-12-12-12-2-2-122-1-1-1-2-2-12-12-2-200-2-2001-21-2-12-12-1-11-21-21111-2-200220011002200110011-1-1000000001100-1-100-1-1000000
χ512222-1222-12-12-12-2-2-1-2-2-1-1-122-12-12220022001-21-21-21-2-1-1-12-12-1-1-1-1-2-200-2-200-1-1002200-1-10011110000000011001100-1-1000000
χ522222-1222-12-12-12-2-2-1-2-2-1-1-122-12-12-2-200-2-2001-21-21-21-2-1-1-12-12-1-1-1-1220022001100-2-2001100111100000000-1-100-1-10011000000
χ532-2-2222-22-2-2-2-22200200-22-200-2-2222-22-2-22-2200000000-2200000000000000002-22-20000-22-220000-222-200000000000000000000
χ542-2-2222-22-2-2-2-22200200-22-200-2-2222-2-22-222-200000000-2200000000000000002-2-220000-222-200002-2-2200000000000000000000
χ552-2-2222-22-2-2-2-22200200-22-200-2-222-222-22-2-2200000000-220000000000000000-222-200002-2-2200002-2-2200000000000000000000
χ562-2-2222-22-2-2-2-22200200-22-200-2-222-22-222-22-200000000-220000000000000000-22-2200002-22-20000-222-200000000000000000000
χ572-2-222-12-2-21-212-12-2-12i−2i1-112i−2i2-1-21002-2002-22-1-212i−i−2ii-112i−i−2ii−i−iii002i−2i002-200-11002i−2i00-11-11−ii0000000000−ii00-1100−ii0000
χ582-2-222-12-2-21-212-12-2-12i−2i1-112i−2i2-1-2100-2200-222-1-212i−i−2ii-112i−i−2ii−i−iii00−2i2i00-22001-100−2i2i001-1-11−ii0000000000i−i001-100i−i0000
χ592-2-222-12-2-21-212-12-2-1−2i2i1-11−2i2i2-1-21002-2002-22-1-21−2ii2i−i-11−2ii2i−iii−i−i00−2i2i002-200-1100−2i2i00-11-11i−i0000000000i−i00-1100i−i0000
χ602-2-222-12-2-21-212-12-2-1−2i2i1-11−2i2i2-1-2100-2200-222-1-21−2ii2i−i-11−2ii2i−iii−i−i002i−2i00-22001-1002i−2i001-1-11i−i0000000000−ii001-100−ii0000
χ612-2-222-12-2-21-212-1-22-12i−2i1-11−2i2i2-1-21002-2002-2-212-12i−i−2ii-11−2ii2i−iii−i−i002i−2i00-2200-1100−2i2i00-111-1−ii0000000000−ii001-100i−i0000
χ622-2-222-12-2-21-212-1-22-12i−2i1-11−2i2i2-1-2100-2200-22-212-12i−i−2ii-11−2ii2i−iii−i−i00−2i2i002-2001-1002i−2i001-11-1−ii0000000000i−i00-1100−ii0000
χ632-2-222-12-2-21-212-1-22-1−2i2i1-112i−2i2-1-21002-2002-2-212-1−2ii2i−i-112i−i−2ii−i−iii00−2i2i00-2200-11002i−2i00-111-1i−i0000000000i−i001-100−ii0000
χ642-2-222-12-2-21-212-1-22-1−2i2i1-112i−2i2-1-2100-2200-22-212-1−2ii2i−i-112i−i−2ii−i−iii002i−2i002-2001-100−2i2i001-11-1i−i0000000000−ii00-1100i−i0000
χ652-2-22-122-21-21-2-122-2-12i−2i1-112i−2i-121-22-2002-200-121-2−i2ii−2i-11−i2ii−2i−i−iii2i−2i002-200-11002i−2i00-1100-11−ii00000000−ii00-1100−ii000000
χ662-2-22-122-21-21-2-122-2-12i−2i1-112i−2i-121-2-2200-2200-121-2−i2ii−2i-11−i2ii−2i−i−iii−2i2i00-22001-100−2i2i001-100-11−ii00000000i−i001-100i−i000000
χ672-2-22-122-21-21-2-122-2-1−2i2i1-11−2i2i-121-22-2002-200-121-2i−2i−i2i-11i−2i−i2iii−i−i−2i2i002-200-1100−2i2i00-1100-11i−i00000000i−i00-1100i−i000000
χ682-2-22-122-21-21-2-122-2-1−2i2i1-11−2i2i-121-2-2200-2200-121-2i−2i−i2i-11i−2i−i2iii−i−i2i−2i00-22001-1002i−2i001-100-11i−i00000000−ii001-100−ii000000
χ692-2-22-122-21-21-2-12-22-12i−2i1-11−2i2i-121-22-2002-2001-2-12−i2ii−2i-11i−2i−i2iii−i−i2i−2i00-2200-1100−2i2i00-11001-1−ii00000000−ii001-100i−i000000
χ702-2-22-122-21-21-2-12-22-12i−2i1-11−2i2i-121-2-2200-22001-2-12−i2ii−2i-11i−2i−i2iii−i−i−2i2i002-2001-1002i−2i001-1001-1−ii00000000i−i00-1100−ii000000
χ712-2-22-122-21-21-2-12-22-1−2i2i1-112i−2i-121-22-2002-2001-2-12i−2i−i2i-11−i2ii−2i−i−iii−2i2i00-2200-11002i−2i00-11001-1i−i00000000i−i001-100−ii000000
χ722-2-22-122-21-21-2-12-22-1−2i2i1-112i−2i-121-2-2200-22001-2-12i−2i−i2i-11−i2ii−2i−i−iii2i−2i002-2001-100−2i2i001-1001-1i−i00000000−ii00-1100i−i000000
χ7344444-2-4-44-24-24-200-200-2-2-200-42-42004400-4-40000000022000000000000000000-2-2000000220000000000000000000000000000
χ7444444-2-4-44-24-24-200-200-2-2-200-42-4200-4-40044000000002200000000000000000022000000-2-20000000000000000000000000000
χ754444-24-4-4-24-24-2400-200-2-2-2002-42-44400-4-40000000000220000000000000000-2-200000022000000000000000000000000000000
χ764444-24-4-4-24-24-2400-200-2-2-2002-42-4-4-40044000000000022000000000000000022000000-2-2000000000000000000000000000000
χ774444-2-244-2-2-2-2-2-24414411144-2-2-2-200000000-2-2-2-2-2-2-2-211-2-2-2-21111000000000000000000001111000000000000000000000000
χ784444-2-244-2-2-2-2-2-2441-4-4111-4-4-2-2-2-200000000-2-2-2-22222112222-1-1-1-10000000000000000000011-1-1000000000000000000000000
χ794444-2-244-2-2-2-2-2-2-4-4144111-4-4-2-2-2-2000000002222-2-2-2-2112222-1-1-1-100000000000000000000-1-111000000000000000000000000
χ804444-2-244-2-2-2-2-2-2-4-41-4-411144-2-2-2-2000000002222222211-2-2-2-2111100000000000000000000-1-1-1-1000000000000000000000000
χ8144-4-44400-4-444-4-400400-4-440000000000000000000000000000000000000000000000000000000000002i2−2i22i2−2i20000000000000000
χ8244-4-44400-4-444-4-400400-4-44000000000000000000000000000000000000000000000000000000000000−2i22i2−2i22i20000000000000000
χ834-44-4440044-4-4-4-4004004-4-400000000000000000000000000000000000000000000000000000000000022−22−22220000000000000000
χ844-44-4440044-4-4-4-4004004-4-4000000000000000000000000000000000000000000000000000000000000−222222−220000000000000000
χ854-4-444-2-44-42-424-200-2002-2200-424-2004-400-44000000002-2000000000000000000-220000002-20000000000000000000000000000
χ864-4-444-2-44-42-424-200-2002-2200-424-200-44004-4000000002-20000000000000000002-2000000-220000000000000000000000000000
χ874-4-44-24-442-42-4-2400-2002-22002-4-244-400-4400000000002-20000000000000000-220000002-2000000000000000000000000000000
χ884-4-44-24-442-42-4-2400-2002-22002-4-24-44004-400000000002-200000000000000002-2000000-22000000000000000000000000000000
χ894-4-44-2-24-42222-2-24-414i−4i-11-14i−4i-2-22200000000-2-222−2i−2i2i2i1-1−2i−2i2i2iii−i−i000000000000000000001-1i−i000000000000000000000000
χ904-4-44-2-24-42222-2-24-41−4i4i-11-1−4i4i-2-22200000000-2-2222i2i−2i−2i1-12i2i−2i−2i−i−iii000000000000000000001-1−ii000000000000000000000000
χ914-4-44-2-24-42222-2-2-4414i−4i-11-1−4i4i-2-2220000000022-2-2−2i−2i2i2i1-12i2i−2i−2i−i−iii00000000000000000000-11i−i000000000000000000000000
χ924-4-44-2-24-42222-2-2-441−4i4i-11-14i−4i-2-2220000000022-2-22i2i−2i−2i1-1−2i−2i2i2iii−i−i00000000000000000000-11−ii000000000000000000000000
χ938888-4-4-8-8-4-4-4-4-4-4002002220044440000000000000000-2-200000000000000000000000000000000000000000000000000000000
χ9488-8-88-400-848-4-8400-40044-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9588-8-8-48004-8-484-800-40044-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9688-8-8-4-40044-4-44400200-2-22000000000000000000000000000032−3232−32000000000000000000000000000000000000000000000000
χ9788-8-8-4-40044-4-44400200-2-220000000000000000000000000000−3232−3232000000000000000000000000000000000000000000000000
χ988-88-88-4008-4-84-8400-400-44400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ998-88-8-4800-484-84-800-400-44400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1008-88-8-4-400-4-44444002002-2-200000000000000000000000000003i2−3i2−3i23i2000000000000000000000000000000000000000000000000
χ1018-88-8-4-400-4-44444002002-2-20000000000000000000000000000−3i23i23i2−3i2000000000000000000000000000000000000000000000000
χ1028-8-88-4-4-884444-4-400200-22-20044-4-40000000000000000-2200000000000000000000000000000000000000000000000000000000

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