Finite Group Databasebeta

← Group #11860970

Character table — Group #11860970

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222224444444444444466666666888888888888888888121212121212121212121212121212121212121216161616181818181818181824242424242424242424242436363636
order122233446666662234466688121212122244444466661212121212122424242424242424224444446688881212121212126612124444888866121212121212242424244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-111-1-1111111111111111111-1-11111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1
χ31111111111111111111111111111-1-111-1-11111111111111111111111-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1
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
χ511111111111111111-1-1111-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ611111111111111111-1-1111-1-1111111-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1
χ711111111111111111-1-1111-1-11111-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-111-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ811111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-111
χ911111111111111-1-1111111-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1
χ1011111111111111-1-1111111-1-1111111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-1-111-1-1-1-11111-1-11111-1-111-1-1-1-111
χ1111111111111111-1-1111111-1-11111-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-111-1-111
χ1211111111111111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1
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
χ1411111111111111-1-11-1-111111111111-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111
χ1511111111111111-1-11-1-1111111111-1-111-1-111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111
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
χ171-11-111-11-11-1-1-111-11i−i-11-1i−i1-11-11-1i−i1-1i−i1-11-1i−ii−i1-1i−ii−iii−i−i1-1i−i1-1i−i1-1i−i1-1i−ii−i1-11-1i−ii−ii−i11-1-11-1i−ii−i1-11-1i−i1-1i−i
χ181-11-111-11-11-1-1-111-11i−i-11-1i−i1-11-11-1−ii1-1−ii1-11-1i−ii−i1-1i−ii−iii−i−i-11i−i1-1−ii1-1i−i-11−ii−ii1-11-1i−i−ii−ii-1-111-11i−i−ii1-1-11i−i-11−ii
χ191-11-111-11-11-1-1-111-11i−i-11-1i−i1-11-1-11i−i-11i−i1-11-1i−ii−i1-1i−ii−iii−i−i1-1−ii-11i−i-11−ii1-1i−ii−i-111-1i−i−ii−ii-1-1111-1−iii−i-111-1−ii-11−ii
χ201-11-111-11-11-1-1-111-11i−i-11-1i−i1-11-1-11−ii-11−ii1-11-1i−ii−i1-1i−ii−iii−i−i-11−ii-11−ii-11−ii-11−ii−ii-111-1i−ii−ii−i11-1-1-11−ii−ii-11-11−ii1-1i−i
χ211-11-111-11-11-1-1-111-11−ii-11-1−ii1-11-11-1i−i1-1i−i1-11-1−ii−ii1-1−ii−ii−i−iii-11−ii1-1i−i1-1−ii-11i−ii−i1-11-1−iii−ii−i-1-111-11−iii−i1-1-11−ii-11i−i
χ221-11-111-11-11-1-1-111-11−ii-11-1−ii1-11-11-1−ii1-1−ii1-11-1−ii−ii1-1−ii−ii−i−iii1-1−ii1-1−ii1-1−ii1-1−ii−ii1-11-1−ii−ii−ii11-1-11-1−ii−ii1-11-1−ii1-1−ii
χ231-11-111-11-11-1-1-111-11−ii-11-1−ii1-11-1-11i−i-11i−i1-11-1−ii−ii1-1−ii−ii−i−iii-11i−i-11i−i-11i−i-11i−ii−i-111-1−ii−ii−ii11-1-1-11i−ii−i-11-11i−i1-1−ii
χ241-11-111-11-11-1-1-111-11−ii-11-1−ii1-11-1-11−ii-11−ii1-11-1−ii−ii1-1−ii−ii−i−iii1-1i−i-11−ii-11i−i1-1−ii−ii-111-1−iii−ii−i-1-1111-1i−i−ii-111-1i−i-11i−i
χ251-11-111-11-11-1-1-11-111i−i-11-1−ii1-11-11-1i−i1-1i−i-11-11i−ii−i1-1−ii−ii−i−iii1-1i−i-11−ii1-1−ii-11i−ii−i1-1-11i−ii−ii−i-1-1111-1i−i−ii-11-11−ii1-1−ii
χ261-11-111-11-11-1-1-11-111i−i-11-1−ii1-11-11-1−ii1-1−ii-11-11i−ii−i1-1−ii−ii−i−iii-11i−i-11i−i1-1−ii1-1−ii−ii1-1-11i−i−ii−ii11-1-1-11i−ii−i-111-1−ii-11i−i
χ271-11-111-11-11-1-1-11-111i−i-11-1−ii1-11-1-11i−i-11i−i-11-11i−ii−i1-1−ii−ii−i−iii1-1−ii1-1−ii-11i−i-11i−ii−i-11-11i−i−ii−ii11-1-11-1−ii−ii1-1-11i−i-11i−i
χ281-11-111-11-11-1-1-11-111i−i-11-1−ii1-11-1-11−ii-11−ii-11-11i−ii−i1-1−ii−ii−i−iii-11−ii1-1i−i-11i−i1-1−ii−ii-11-11i−ii−ii−i-1-111-11−iii−i1-11-1i−i1-1−ii
χ291-11-111-11-11-1-1-11-111−ii-11-1i−i1-11-11-1i−i1-1i−i-11-11−ii−ii1-1i−ii−iii−i−i-11−ii-11−ii1-1i−i1-1i−ii−i1-1-11−iii−ii−i11-1-1-11−ii−ii-111-1i−i-11−ii
χ301-11-111-11-11-1-1-11-111−ii-11-1i−i1-11-11-1−ii1-1−ii-11-11−ii−ii1-1i−ii−iii−i−i1-1−ii-11i−i1-1i−i-11−ii−ii1-1-11−ii−ii−ii-1-1111-1−iii−i-11-11i−i1-1i−i
χ311-11-111-11-11-1-1-11-111−ii-11-1i−i1-11-1-11i−i-11i−i-11-11−ii−ii1-1i−ii−iii−i−i-11i−i1-1−ii-11−ii1-1i−ii−i-11-11−ii−ii−ii-1-111-11i−i−ii1-11-1−ii1-1i−i
χ321-11-111-11-11-1-1-11-111−ii-11-1i−i1-11-1-11−ii-11−ii-11-11−ii−ii1-1i−ii−iii−i−i1-1i−i1-1i−i-11−ii-11−ii−ii-11-11−iii−ii−i11-1-11-1i−ii−i1-1-11−ii-11−ii
χ33222222-2-22222220020022200-2-2-2-22222-2-2-2-200000000-2-2000000000000000022000022-2-2-2-20000-2-22200000000000000000000
χ34222222-2-22222220020022200-2-2-2-222-2-2-2-22200000000-2-20000000000000000220000-2-222-2-2000022-2-200000000000000000000
χ35222222-2-22222220020022200-2-2-2-2-2-22222-2-200000000-2-20000000000000000-2-2000022-2-222000022-2-200000000000000000000
χ36222222-2-22222220020022200-2-2-2-2-2-2-2-2222200000000-2-20000000000000000-2-20000-2-222220000-2-22200000000000000000000
χ3722222-1222-1-12-1222-122-1-1-1222-1-120022002222-1-1-1-122-1-1-1-122-1-1-1-122000022000022-1-1-1-100-1-1-1-100000000-1-100-1-100-1-1000000
χ3822222-1222-1-12-1222-122-1-1-1222-1-1200-2-200-2-222-1-1-1-122-1-1-1-122-1-1-1-1-2-20000-2-20000-2-2111100-1-1-1-1000000001100110011000000
χ3922222-1222-1-12-1222-1-2-2-1-1-1-2-22-1-120022002222-1-111-2-2-1-111-2-21111-2-20000220000-2-2-1-1-1-100-1-111000000001100-1-10011000000
χ4022222-1222-1-12-1222-1-2-2-1-1-1-2-22-1-1200-2-200-2-222-1-111-2-2-1-111-2-21111220000-2-2000022111100-1-11100000000-1-1001100-1-1000000
χ4122222-1222-1-12-12-2-2-122-1-1-1-2-22-1-1200220022-2-211-1-122-1-111-2-21111220000-2-20000-2-2-1-1-1-10011-1-100000000-1-100110011000000
χ4222222-1222-1-12-12-2-2-122-1-1-1-2-22-1-1200-2-200-2-2-2-211-1-122-1-111-2-21111-2-200002200002211110011-1-1000000001100-1-100-1-1000000
χ4322222-1222-1-12-12-2-2-1-2-2-1-1-1222-1-1200220022-2-21111-2-2-1-1-1-122-1-1-1-1-2-20000-2-2000022-1-1-1-10011110000000011001100-1-1000000
χ4422222-1222-1-12-12-2-2-1-2-2-1-1-1222-1-1200-2-200-2-2-2-21111-2-2-1-1-1-122-1-1-1-1220000220000-2-2111100111100000000-1-100-1-10011000000
χ452222-1222-122-12-122-122-1-1-122-122-122002200-1-12222-1-1-1-122-1-1-1-1-1-100222200-1-122000000-1-1-1-1-1-10000000000-1-100-1-100-1-10000
χ462222-1222-122-12-122-122-1-1-122-122-1-2-200-2-200-1-12222-1-1-1-122-1-1-1-1-1-100-2-2-2-20011-2-200000011-1-1-1-1000000000011001100110000
χ472222-1222-122-12-122-1-2-2-1-1-1-2-2-122-122002200-1-122-2-211-1-1-2-211111100-2-22200-1-1-2-2000000-1-1-1-11100000000001100-1-100110000
χ482222-1222-122-12-122-1-2-2-1-1-1-2-2-122-1-2-200-2-200-1-122-2-211-1-1-2-21111110022-2-200112200000011-1-1110000000000-1-1001100-1-10000
χ492222-1222-122-12-1-2-2-122-1-1-1-2-2-122-12200220011-2-222-1-1-1-1-2-21111110022-2-200-1-1-2-2000000-1-111-1-10000000000-1-1001100110000
χ502222-1222-122-12-1-2-2-122-1-1-1-2-2-122-1-2-200-2-20011-2-222-1-1-1-1-2-211111100-2-2220011220000001111-1-100000000001100-1-100-1-10000
χ512222-1222-122-12-1-2-2-1-2-2-1-1-122-122-12200220011-2-2-2-211-1-122-1-1-1-1-1-100-2-2-2-200-1-122000000-1-11111000000000011001100-1-10000
χ522222-1222-122-12-1-2-2-1-2-2-1-1-122-122-1-2-200-2-20011-2-2-2-211-1-122-1-1-1-1-1-10022220011-2-20000001111110000000000-1-100-1-100110000
χ532-22-2222-2-22-2-2-2200200-22-200-22-222-22i−2i-22−2i2i00000000-2200000000000000002-200002i−2i−2i2i-220000−2i2i2i−2i00000000000000000000
χ542-22-2222-2-22-2-2-2200200-22-200-22-222-2−2i2i-222i−2i00000000-2200000000000000002-20000−2i2i2i−2i-2200002i−2i−2i2i00000000000000000000
χ552-22-2222-2-22-2-2-2200200-22-200-22-22-222i−2i2-2−2i2i00000000-220000000000000000-2200002i−2i−2i2i2-200002i−2i−2i2i00000000000000000000
χ562-22-2222-2-22-2-2-2200200-22-200-22-22-22−2i2i2-22i−2i00000000-220000000000000000-220000−2i2i2i−2i2-20000−2i2i2i−2i00000000000000000000
χ572-22-22-1-22-2-11-2122-2-12i−2i1-112i−2i21-1-2002i−2i002i−2i2-2-11−ii2i−2i-11−ii2i−2i−i−iii2-200002i−2i00002-2−ii−ii00-11−ii00000000-1100−ii00-11000000
χ582-22-22-1-22-2-11-2122-2-12i−2i1-112i−2i21-1-200−2i2i00−2i2i2-2-11−ii2i−2i-11−ii2i−2i−i−iii-220000−2i2i0000-22i−ii−i00-11−ii000000001-100i−i001-1000000
χ592-22-22-1-22-2-11-2122-2-1−2i2i1-11−2i2i21-1-2002i−2i002i−2i2-2-11i−i−2i2i-11i−i−2i2iii−i−i-2200002i−2i0000-22−ii−ii00-11i−i000000001-100−ii001-1000000
χ602-22-22-1-22-2-11-2122-2-1−2i2i1-11−2i2i21-1-200−2i2i00−2i2i2-2-11i−i−2i2i-11i−i−2i2iii−i−i2-20000−2i2i00002-2i−ii−i00-11i−i00000000-1100i−i00-11000000
χ612-22-22-1-22-2-11-212-22-12i−2i1-11−2i2i21-1-2002i−2i002i−2i-221-1−ii2i−2i-11i−i−2i2iii−i−i2-20000−2i2i0000-22−ii−ii001-1−ii00000000-1100i−i001-1000000
χ622-22-22-1-22-2-11-212-22-12i−2i1-11−2i2i21-1-200−2i2i00−2i2i-221-1−ii2i−2i-11i−i−2i2iii−i−i-2200002i−2i00002-2i−ii−i001-1−ii000000001-100−ii00-11000000
χ632-22-22-1-22-2-11-212-22-1−2i2i1-112i−2i21-1-2002i−2i002i−2i-221-1i−i−2i2i-11−ii2i−2i−i−iii-220000−2i2i00002-2−ii−ii001-1i−i000000001-100i−i00-11000000
χ642-22-22-1-22-2-11-212-22-1−2i2i1-112i−2i21-1-200−2i2i00−2i2i-221-1i−i−2i2i-11−ii2i−2i−i−iii2-200002i−2i0000-22i−ii−i001-1i−i00000000-1100−ii001-1000000
χ652-22-2-12-2212-21-2-12-2-12i−2i1-112i−2i-1-2212-2002-200-112-22i−2i−ii-112i−2i−ii−i−iii002i−2i2-200-112i−2i000000-11-11−ii0000000000−ii00-1100−ii0000
χ662-22-2-12-2212-21-2-12-2-12i−2i1-112i−2i-1-221-2200-2200-112-22i−2i−ii-112i−2i−ii−i−iii00−2i2i-22001-1−2i2i0000001-1-11−ii0000000000i−i001-100i−i0000
χ672-22-2-12-2212-21-2-12-2-1−2i2i1-11−2i2i-1-2212-2002-200-112-2−2i2ii−i-11−2i2ii−iii−i−i00−2i2i2-200-11−2i2i000000-11-11i−i0000000000i−i00-1100i−i0000
χ682-22-2-12-2212-21-2-12-2-1−2i2i1-11−2i2i-1-221-2200-2200-112-2−2i2ii−i-11−2i2ii−iii−i−i002i−2i-22001-12i−2i0000001-1-11i−i0000000000−ii001-100−ii0000
χ692-22-2-12-2212-21-2-1-22-12i−2i1-11−2i2i-1-2212-2002-2001-1-222i−2i−ii-11−2i2ii−iii−i−i002i−2i-2200-11−2i2i000000-111-1−ii0000000000−ii001-100i−i0000
χ702-22-2-12-2212-21-2-1-22-12i−2i1-11−2i2i-1-221-2200-22001-1-222i−2i−ii-11−2i2ii−iii−i−i00−2i2i2-2001-12i−2i0000001-11-1−ii0000000000i−i00-1100−ii0000
χ712-22-2-12-2212-21-2-1-22-1−2i2i1-112i−2i-1-2212-2002-2001-1-22−2i2ii−i-112i−2i−ii−i−iii00−2i2i-2200-112i−2i000000-111-1i−i0000000000i−i001-100−ii0000
χ722-22-2-12-2212-21-2-1-22-1−2i2i1-112i−2i-1-221-2200-22001-1-22−2i2ii−i-112i−2i−ii−i−iii002i−2i2-2001-1−2i2i0000001-11-1i−i0000000000−ii00-1100i−i0000
χ7344444-2-4-44-2-24-2400-200-2-2-200-422-4004400-4-400000000220000000000000000000000-2-222000000000000000000000000000000
χ7444444-2-4-44-2-24-2400-200-2-2-200-422-400-4-400440000000022000000000000000000000022-2-2000000000000000000000000000000
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χ764444-24-4-4-244-24-200-200-2-2-2002-4-42-4-4004400000000002200000000000000002200000000-2-20000000000000000000000000000
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
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χ854-44-4-244-424-42-4-200-2002-220024-4-24-400-4400000000002-20000000000000000-22000000002-20000000000000000000000000000
χ864-44-4-244-424-42-4-200-2002-220024-4-2-44004-400000000002-200000000000000002-200000000-220000000000000000000000000000
χ874-44-4-2-2-442-2222-24-414i−4i-11-14i−4i-22-2200000000-22-22−2i2i−2i2i1-1−2i2i−2i2iii−i−i000000000000000000001-1i−i000000000000000000000000
χ884-44-4-2-2-442-2222-24-41−4i4i-11-1−4i4i-22-2200000000-22-222i−2i2i−2i1-12i−2i2i−2i−i−iii000000000000000000001-1−ii000000000000000000000000
χ894-44-4-2-2-442-2222-2-4414i−4i-11-1−4i4i-22-22000000002-22-2−2i2i−2i2i1-12i−2i2i−2i−i−iii00000000000000000000-11i−i000000000000000000000000
χ904-44-4-2-2-442-2222-2-441−4i4i-11-14i−4i-22-22000000002-22-22i−2i2i−2i1-1−2i2i−2i2iii−i−i00000000000000000000-11−ii000000000000000000000000
χ914-4-4444004-4-4-44-4004004-4-40000000000000000000000000000000000000000000000000000000000002i2−2i2−2i22i20000000000000000
χ924-4-4444004-4-4-44-4004004-4-4000000000000000000000000000000000000000000000000000000000000−2i22i22i2−2i20000000000000000
χ938888-4-4-8-8-4-4-4-4-4-4002002220044440000000000000000-2-200000000000000000000000000000000000000000000000000000000
χ9488-8-88-400-84-484-800-40044-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9588-8-8-48004-88-4-8400-40044-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9688-8-8-4-40044-4-44400200-2-22000000000000000000000000000032−3232−32000000000000000000000000000000000000000000000000
χ9788-8-8-4-40044-4-44400200-2-220000000000000000000000000000−3232−3232000000000000000000000000000000000000000000000000
χ988-88-8-4-48-84-4444-400200-22-2004-44-40000000000000000-2200000000000000000000000000000000000000000000000000000000
χ998-8-888-400844-8-4-800-400-44400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1008-8-88-4800-4-8-848400-400-44400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-400-4444-44002002-2-200000000000000000000000000003i2−3i2−3i23i2000000000000000000000000000000000000000000000000
χ1028-8-88-4-400-4444-44002002-2-20000000000000000000000000000−3i23i23i2−3i2000000000000000000000000000000000000000000000000

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