Finite Group Databasebeta

← Group #11857906

Character table — Group #11857906

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11112222222222444444444444446666666688888888888888888899991212121212121212121212121212121212121212161616161818242424242424242424242424363636363636
order122233446666662234466688121212122222444466661212121212122424242424242424222244444444666688881212121266121244121212121212121224242424224488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-111-1-1111111111111111111-1-1-1-111-1-111-1-111-1-111-1-111-1-11111-1-111-1-111-1-111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-111-1-111111111111111111111-1-1-1-1-1-111-1-111-1-111-1-111-1-1111111-1-1-1-111-1-111-1-111-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111-1-1111-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-111-1-1-1-1
χ611111111111111111-1-1111-1-1111111-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111-1-11111
χ711111111111111111-1-1111-1-11111-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111
χ811111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1111111-1-1-1-1
χ911111111111111-1-1111111-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1
χ1011111111111111-1-1111111-1-1111111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-11111-1-111
χ1111111111111111-1-1111111-1-11111-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-111-1-1-1-11111-1-111-1-111-1-111
χ1211111111111111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1
χ1311111111111111-1-11-1-111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111
χ1411111111111111-1-11-1-111111111111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1
χ1511111111111111-1-11-1-1111111111-1-111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-1-1-111-1-111-1-111-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1
χ1611111111111111-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111
χ171-11-1111-1-1-1-1-1111-11i−i-11-1i−i11-1-11-11-11-11-111-1-1ii−i−i1-1ii−i−iii−i−i11-1-11-11-1i−ii−i1-11-1i−ii−i1-11-11-1i−i1-1i−ii−i1-11-1i−ii−i1-1i−ii−i
χ181-11-1111-1-1-1-1-1111-11i−i-11-1i−i11-1-11-1-111-1-1111-1-1ii−i−i1-1ii−i−iii−i−i-1-1111-1-11i−i−ii1-1-11i−i−ii1-1-111-1i−i-11i−i−ii1-1-11i−i−ii-11−ii−ii
χ191-11-1111-1-1-1-1-1111-11i−i-11-1i−i11-1-1-111-1-111-111-1-1ii−i−i1-1ii−i−iii−i−i-1-111-111-1−iii−i-111-1−iii−i-111-11-1i−i-11−iii−i-111-1−iii−i-11−ii−ii
χ201-11-1111-1-1-1-1-1111-11i−i-11-1i−i11-1-1-11-11-11-1111-1-1ii−i−i1-1ii−i−iii−i−i11-1-1-11-11−ii−ii-11-11−ii−ii-11-111-1i−i1-1−ii−ii-11-11−ii−ii1-1i−ii−i
χ211-11-1111-1-1-1-1-1111-11−ii-11-1−ii11-1-11-11-11-11-111-1-1−i−iii1-1−i−iii−i−iii11-1-11-11-1−ii−ii1-11-1−ii−ii1-11-11-1−ii1-1−ii−ii1-11-1−ii−ii1-1−ii−ii
χ221-11-1111-1-1-1-1-1111-11−ii-11-1−ii11-1-11-1-111-1-1111-1-1−i−iii1-1−i−iii−i−iii-1-1111-1-11−iii−i1-1-11−iii−i1-1-111-1−ii-11−iii−i1-1-11−iii−i-11i−ii−i
χ231-11-1111-1-1-1-1-1111-11−ii-11-1−ii11-1-1-111-1-111-111-1-1−i−iii1-1−i−iii−i−iii-1-111-111-1i−i−ii-111-1i−i−ii-111-11-1−ii-11i−i−ii-111-1i−i−ii-11i−ii−i
χ241-11-1111-1-1-1-1-1111-11−ii-11-1−ii11-1-1-11-11-11-1111-1-1−i−iii1-1−i−iii−i−iii11-1-1-11-11i−ii−i-11-11i−ii−i-11-111-1−ii1-1i−ii−i-11-11i−ii−i1-1−ii−ii
χ251-11-1111-1-1-1-1-111-111i−i-11-1−ii11-1-11-11-11-11-1-1-111ii−i−i1-1−i−iii−i−iii11-1-1-11-11i−ii−i1-11-1−ii−ii1-11-1-11i−i1-1i−ii−i-11-11−ii−ii-11i−i−ii
χ261-11-1111-1-1-1-1-111-111i−i-11-1−ii11-1-11-1-111-1-11-1-111ii−i−i1-1−i−iii−i−iii-1-111-111-1i−i−ii1-1-11−iii−i1-1-11-11i−i-11i−i−ii-111-1−iii−i1-1−iii−i
χ271-11-1111-1-1-1-1-111-111i−i-11-1−ii11-1-1-111-1-111-1-1-111ii−i−i1-1−i−iii−i−iii-1-1111-1-11−iii−i-111-1i−i−ii-111-1-11i−i-11−iii−i1-1-11i−i−ii1-1−iii−i
χ281-11-1111-1-1-1-1-111-111i−i-11-1−ii11-1-1-11-11-11-11-1-111ii−i−i1-1−i−iii−i−iii11-1-11-11-1−ii−ii-11-11i−ii−i-11-11-11i−i1-1−ii−ii1-11-1i−ii−i-11i−i−ii
χ291-11-1111-1-1-1-1-111-111−ii-11-1i−i11-1-11-11-11-11-1-1-111−i−iii1-1ii−i−iii−i−i11-1-1-11-11−ii−ii1-11-1i−ii−i1-11-1-11−ii1-1−ii−ii-11-11i−ii−i-11−iii−i
χ301-11-1111-1-1-1-1-111-111−ii-11-1i−i11-1-11-1-111-1-11-1-111−i−iii1-1ii−i−iii−i−i-1-111-111-1−iii−i1-1-11i−i−ii1-1-11-11−ii-11−iii−i-111-1i−i−ii1-1i−i−ii
χ311-11-1111-1-1-1-1-111-111−ii-11-1i−i11-1-1-111-1-111-1-1-111−i−iii1-1ii−i−iii−i−i-1-1111-1-11i−i−ii-111-1−iii−i-111-1-11−ii-11i−i−ii1-1-11−iii−i1-1i−i−ii
χ321-11-1111-1-1-1-1-111-111−ii-11-1i−i11-1-1-11-11-11-11-1-111−i−iii1-1ii−i−iii−i−i11-1-11-11-1i−ii−i-11-11−ii−ii-11-11-11−ii1-1i−ii−i1-11-1−ii−ii-11−iii−i
χ33222222-2-22222220020022200-2-2-2-22222-2-2-2-200000000-2-20000000022220000000022220000-2-2-2-20000-2-2000000000000000000
χ34222222-2-22222220020022200-2-2-2-222-2-2-2-22200000000-2-200000000-2-2-2-20000000022-2-20000-2-222000022000000000000000000
χ35222222-2-22222220020022200-2-2-2-2-2-22222-2-200000000-2-200000000-2-2-2-200000000-2-222000022-2-2000022000000000000000000
χ36222222-2-22222220020022200-2-2-2-2-2-2-2-2222200000000-2-200000000222200000000-2-2-2-2000022220000-2-2000000000000000000
χ3722222-1222-12-12-122-122-1-1-1222-12-1002200222-12-12-12-1-1-12-12-1-1-1-1-100000022002200-1-1002200-1-1-1-1-1-10000-1-100-1-100-1-1000000
χ3822222-1222-12-12-122-122-1-1-1222-12-100-2-200-2-22-12-12-12-1-1-12-12-1-1-1-1-1000000-2-200-2-2001100-2-20011-1-1-1-100001100110011000000
χ3922222-1222-12-12-122-1-2-2-1-1-1-2-22-12-1002200222-12-1-21-21-1-1-21-2111110000002200-2-200-1-100-2-200-1-1-1-11100001100-1-10011000000
χ4022222-1222-12-12-122-1-2-2-1-1-1-2-22-12-100-2-200-2-22-12-1-21-21-1-1-21-211111000000-2-20022001100220011-1-1110000-1-1001100-1-1000000
χ4122222-1222-12-12-1-2-2-122-1-1-1-2-22-12-100220022-21-212-12-1-1-1-21-211111000000-2-2002200-1-100-2-200-1-111-1-10000-1-100110011000000
χ4222222-1222-12-12-1-2-2-122-1-1-1-2-22-12-100-2-200-2-2-21-212-12-1-1-1-21-2111110000002200-2-200110022001111-1-100001100-1-100-1-1000000
χ4322222-1222-12-12-1-2-2-1-2-2-1-1-1222-12-100220022-21-21-21-21-1-12-12-1-1-1-1-1000000-2-200-2-200-1-1002200-1-11111000011001100-1-1000000
χ4422222-1222-12-12-1-2-2-1-2-2-1-1-1222-12-100-2-200-2-2-21-21-21-21-1-12-12-1-1-1-1-1000000220022001100-2-2001111110000-1-100-1-10011000000
χ452222-1222-12-12-1222-122-1-1-122-12-1222002200-12-12-12-12-1-1-12-12-1-1-1-1000022002200-1-1002200-1-100-1-1-1-100-1-100-1-100-1-100000000
χ462222-1222-12-12-1222-122-1-1-122-12-12-2-200-2-200-12-12-12-12-1-1-12-12-1-1-1-10000-2-200-2-2001100-2-2001100-1-1-1-100110011001100000000
χ472222-1222-12-12-1222-1-2-2-1-1-1-2-2-12-1222002200-12-121-21-2-1-11-21-2111100002200-2-200-1-100-2-200-1-100-1-111001100-1-1001100000000
χ482222-1222-12-12-1222-1-2-2-1-1-1-2-2-12-12-2-200-2-200-12-121-21-2-1-11-21-211110000-2-2002200110022001100-1-11100-1-1001100-1-100000000
χ492222-1222-12-12-12-2-2-122-1-1-1-2-2-12-12220022001-21-2-12-12-1-11-21-211110000-2-2002200-1-100-2-200-1-10011-1-100-1-10011001100000000
χ502222-1222-12-12-12-2-2-122-1-1-1-2-2-12-12-2-200-2-2001-21-2-12-12-1-11-21-2111100002200-2-20011002200110011-1-1001100-1-100-1-100000000
χ512222-1222-12-12-12-2-2-1-2-2-1-1-122-12-12220022001-21-21-21-2-1-1-12-12-1-1-1-10000-2-200-2-200-1-1002200-1-10011110011001100-1-100000000
χ522222-1222-12-12-12-2-2-1-2-2-1-1-122-12-12-2-200-2-2001-21-21-21-2-1-1-12-12-1-1-1-10000220022001100-2-2001100111100-1-100-1-1001100000000
χ532-22-222-22-2-2-2-22200200-22-200-2-2222-22-2-22-2200000000-220000000022-2-2000000002-22-20000-22-220000-22000000000000000000
χ542-22-222-22-2-2-2-22200200-22-200-2-2222-2-22-222-200000000-2200000000-2-222000000002-2-220000-222-200002-2000000000000000000
χ552-22-222-22-2-2-2-22200200-22-200-2-222-222-22-2-2200000000-2200000000-2-22200000000-222-200002-2-2200002-2000000000000000000
χ562-22-222-22-2-2-2-22200200-22-200-2-222-22-222-22-200000000-220000000022-2-200000000-22-2200002-22-20000-22000000000000000000
χ572-22-22-12-2-21-212-12-2-12i−2i1-112i−2i2-1-21002-2002-22-1-212i−i−2ii-112i−i−2ii−i−iii0000002-2002i−2i00-11002i−2i00-11-11−ii0000−ii00-1100−ii000000
χ582-22-22-12-2-21-212-12-2-12i−2i1-112i−2i2-1-2100-2200-222-1-212i−i−2ii-112i−i−2ii−i−iii000000-2200−2i2i001-100−2i2i001-1-11−ii0000i−i001-100i−i000000
χ592-22-22-12-2-21-212-12-2-1−2i2i1-11−2i2i2-1-21002-2002-22-1-21−2ii2i−i-11−2ii2i−iii−i−i0000002-200−2i2i00-1100−2i2i00-11-11i−i0000i−i00-1100i−i000000
χ602-22-22-12-2-21-212-12-2-1−2i2i1-11−2i2i2-1-2100-2200-222-1-21−2ii2i−i-11−2ii2i−iii−i−i000000-22002i−2i001-1002i−2i001-1-11i−i0000−ii001-100−ii000000
χ612-22-22-12-2-21-212-1-22-12i−2i1-11−2i2i2-1-21002-2002-2-212-12i−i−2ii-11−2ii2i−iii−i−i000000-22002i−2i00-1100−2i2i00-111-1−ii0000−ii001-100i−i000000
χ622-22-22-12-2-21-212-1-22-12i−2i1-11−2i2i2-1-2100-2200-22-212-12i−i−2ii-11−2ii2i−iii−i−i0000002-200−2i2i001-1002i−2i001-11-1−ii0000i−i00-1100−ii000000
χ632-22-22-12-2-21-212-1-22-1−2i2i1-112i−2i2-1-21002-2002-2-212-1−2ii2i−i-112i−i−2ii−i−iii000000-2200−2i2i00-11002i−2i00-111-1i−i0000i−i001-100−ii000000
χ642-22-22-12-2-21-212-1-22-1−2i2i1-112i−2i2-1-2100-2200-22-212-1−2ii2i−i-112i−i−2ii−i−iii0000002-2002i−2i001-100−2i2i001-11-1i−i0000−ii00-1100i−i000000
χ652-22-2-122-21-21-2-122-2-12i−2i1-112i−2i-121-22-2002-200-121-2−i2ii−2i-11−i2ii−2i−i−iii00002-2002i−2i00-11002i−2i00-1100-11−ii00−ii00-1100−ii00000000
χ662-22-2-122-21-21-2-122-2-12i−2i1-112i−2i-121-2-2200-2200-121-2−i2ii−2i-11−i2ii−2i−i−iii0000-2200−2i2i001-100−2i2i001-100-11−ii00i−i001-100i−i00000000
χ672-22-2-122-21-21-2-122-2-1−2i2i1-11−2i2i-121-22-2002-200-121-2i−2i−i2i-11i−2i−i2iii−i−i00002-200−2i2i00-1100−2i2i00-1100-11i−i00i−i00-1100i−i00000000
χ682-22-2-122-21-21-2-122-2-1−2i2i1-11−2i2i-121-2-2200-2200-121-2i−2i−i2i-11i−2i−i2iii−i−i0000-22002i−2i001-1002i−2i001-100-11i−i00−ii001-100−ii00000000
χ692-22-2-122-21-21-2-12-22-12i−2i1-11−2i2i-121-22-2002-2001-2-12−i2ii−2i-11i−2i−i2iii−i−i0000-22002i−2i00-1100−2i2i00-11001-1−ii00−ii001-100i−i00000000
χ702-22-2-122-21-21-2-12-22-12i−2i1-11−2i2i-121-2-2200-22001-2-12−i2ii−2i-11i−2i−i2iii−i−i00002-200−2i2i001-1002i−2i001-1001-1−ii00i−i00-1100−ii00000000
χ712-22-2-122-21-21-2-12-22-1−2i2i1-112i−2i-121-22-2002-2001-2-12i−2i−i2i-11−i2ii−2i−i−iii0000-2200−2i2i00-11002i−2i00-11001-1i−i00i−i001-100−ii00000000
χ722-22-2-122-21-21-2-12-22-1−2i2i1-112i−2i-121-2-2200-22001-2-12i−2i−i2i-11−i2ii−2i−i−iii00002-2002i−2i001-100−2i2i001-1001-1i−i00−ii00-1100i−i00000000
χ7344444-2-4-44-24-24-200-200-2-2-200-42-42004400-4-400000000220000000000000000000000-2-200000022000000000000000000000000
χ7444444-2-4-44-24-24-200-200-2-2-200-42-4200-4-400440000000022000000000000000000000022000000-2-2000000000000000000000000
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χ784444-2-244-2-2-2-2-2-2441-4-4111-4-4-2-2-2-200000000-2-2-2-22222112222-1-1-1-100000000000000000000000011-1-100000000000000000000
χ794444-2-244-2-2-2-2-2-2-4-4144111-4-4-2-2-2-2000000002222-2-2-2-2112222-1-1-1-1000000000000000000000000-1-11100000000000000000000
χ804444-2-244-2-2-2-2-2-2-4-41-4-411144-2-2-2-2000000002222222211-2-2-2-21111000000000000000000000000-1-1-1-100000000000000000000
χ8144-4-4440044-4-4-4-4004004-4-4000000000000000000000000000000004-44-400000000000000000000000000000000000000000000
χ8244-4-4440044-4-4-4-4004004-4-400000000000000000000000000000000-44-4400000000000000000000000000000000000000000000
χ834-44-44-2-44-42-424-200-2002-2200-424-2004-400-44000000002-20000000000000000000000-220000002-2000000000000000000000000
χ844-44-44-2-44-42-424-200-2002-2200-424-200-44004-4000000002-200000000000000000000002-2000000-22000000000000000000000000
χ854-44-4-24-442-42-4-2400-2002-22002-4-244-400-4400000000002-200000000000000000000-220000002-200000000000000000000000000
χ864-44-4-24-442-42-4-2400-2002-22002-4-24-44004-400000000002-2000000000000000000002-2000000-2200000000000000000000000000
χ874-44-4-2-24-42222-2-24-414i−4i-11-14i−4i-2-22200000000-2-222−2i−2i2i2i1-1−2i−2i2i2iii−i−i0000000000000000000000001-1i−i00000000000000000000
χ884-44-4-2-24-42222-2-24-41−4i4i-11-1−4i4i-2-22200000000-2-2222i2i−2i−2i1-12i2i−2i−2i−i−iii0000000000000000000000001-1−ii00000000000000000000
χ894-44-4-2-24-42222-2-2-4414i−4i-11-1−4i4i-2-2220000000022-2-2−2i−2i2i2i1-12i2i−2i−2i−i−iii000000000000000000000000-11i−i00000000000000000000
χ904-44-4-2-24-42222-2-2-441−4i4i-11-14i−4i-2-2220000000022-2-22i2i−2i−2i1-1−2i−2i2i2iii−i−i000000000000000000000000-11−ii00000000000000000000
χ914-4-444400-4-444-4-400400-4-44000000000000000000000000000000004-4-4400000000000000000000000000000000000000000000
χ924-4-444400-4-444-4-400400-4-4400000000000000000000000000000000-444-400000000000000000000000000000000000000000000
χ938888-4-4-8-8-4-4-4-4-4-4002002220044440000000000000000-2-200000000000000000000000000000000000000000000000000000000
χ9488-8-88-4008-4-84-8400-400-44400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9588-8-8-4800-484-84-800-400-44400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9688-8-8-4-400-4-44444002002-2-200000000000000000000000000003i2−3i23i2−3i2000000000000000000000000000000000000000000000000
χ9788-8-8-4-400-4-44444002002-2-20000000000000000000000000000−3i23i2−3i23i2000000000000000000000000000000000000000000000000
χ988-88-8-4-4-884444-4-400200-22-20044-4-40000000000000000-2200000000000000000000000000000000000000000000000000000000
χ998-8-888-400-848-4-8400-40044-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1008-8-88-48004-8-484-800-40044-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-40044-4-44400200-2-22000000000000000000000000000032−32−3232000000000000000000000000000000000000000000000000
χ1028-8-88-4-40044-4-44400200-2-220000000000000000000000000000−323232−32000000000000000000000000000000000000000000000000

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