Finite Group Databasebeta

← Group #11860868

Character table — Group #11860868

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222224444444444444466666666888888888888888888121212121212121212121212121212121212121216161616181818181818181824242424242424242424242436363636
order12223344666666223446668812121212224444446666121212121212242424242424242444444444668888121212121212661212444488881212121212121212242424242244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-111-1-111111111111111111111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1
χ31111111111111111111111111111-1-111-1-111111111111111111111-1-111-1-111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1
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
χ511111111111111111-1-1111-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ611111111111111111-1-1111-1-1111111-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-1111111-1-111-1-111-1-111-1-1
χ711111111111111111-1-1111-1-11111-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111-1-1-1-1-1-11111-1-111-1-111-1-11111-1-1
χ811111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-111
χ911111111111111-1-1111111-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1
χ1011111111111111-1-1111111-1-1111111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-111-1-1-1-11111-1-111-1-11111-1-1-1-111
χ1111111111111111-1-1111111-1-11111-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-1111111-1-111-1-1-1-111-1-111
χ1211111111111111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1
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
χ1411111111111111-1-11-1-111111111111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1111111
χ1511111111111111-1-11-1-1111111111-1-111-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111
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
χ171-11-111-11-1-11-11-11-11i−i-11-1i−i1-11-11-1i−i1-1i−i1-11-1i−ii−i1-1i−ii−iii−i−i1-11-1i−ii−i1-1i−i1-1i−i1-1i−i1-1i−ii−ii−i11-1-11-1i−i1-1i−i1-1i−i1-1i−i
χ181-11-111-11-1-11-11-11-11i−i-11-1i−i1-11-11-1−ii1-1−ii1-11-1i−ii−i1-1i−ii−iii−i−i1-1-11i−i−ii1-1i−i-11−ii1-1−ii1-1i−i−ii−ii-1-111-11i−i1-1−ii-11i−i-11−ii
χ191-11-111-11-1-11-11-11-11i−i-11-1i−i1-11-1-11i−i-11i−i1-11-1i−ii−i1-1i−ii−iii−i−i-111-1−iii−i-11−ii1-1i−i-11i−i1-1i−i−ii−ii-1-1111-1−ii-11i−i1-1−ii-11−ii
χ201-11-111-11-1-11-11-11-11i−i-11-1i−i1-11-1-11−ii-11−ii1-11-1i−ii−i1-1i−ii−iii−i−i-11-11−ii−ii-11−ii-11−ii-11−ii1-1i−ii−ii−i11-1-1-11−ii-11−ii-11−ii1-1i−i
χ211-11-111-11-1-11-11-11-11−ii-11-1−ii1-11-11-1i−i1-1i−i1-11-1−ii−ii1-1−ii−ii−i−iii1-1-11−iii−i1-1−ii-11i−i1-1i−i1-1−iii−ii−i-1-111-11−ii1-1i−i-11−ii-11i−i
χ221-11-111-11-1-11-11-11-11−ii-11-1−ii1-11-11-1−ii1-1−ii1-11-1−ii−ii1-1−ii−ii−i−iii1-11-1−ii−ii1-1−ii1-1−ii1-1−ii1-1−ii−ii−ii11-1-11-1−ii1-1−ii1-1−ii1-1−ii
χ231-11-111-11-1-11-11-11-11−ii-11-1−ii1-11-1-11i−i-11i−i1-11-1−ii−ii1-1−ii−ii−i−iii-11-11i−ii−i-11i−i-11i−i-11i−i1-1−ii−ii−ii11-1-1-11i−i-11i−i-11i−i1-1−ii
χ241-11-111-11-1-11-11-11-11−ii-11-1−ii1-11-1-11−ii-11−ii1-11-1−ii−ii1-1−ii−ii−i−iii-111-1i−i−ii-11i−i1-1−ii-11−ii1-1−iii−ii−i-1-1111-1i−i-11−ii1-1i−i-11i−i
χ251-11-111-11-1-11-11-1-111i−i-11-1−ii1-11-11-1i−i1-1i−i-11-11i−ii−i1-1−ii−ii−i−iii-111-1i−i−ii1-1−ii-11i−i1-1i−i-11i−ii−ii−i-1-1111-1i−i-11−ii-11−ii1-1−ii
χ261-11-111-11-1-11-11-1-111i−i-11-1−ii1-11-11-1−ii1-1−ii-11-11i−ii−i1-1−ii−ii−i−iii-11-11i−ii−i1-1−ii1-1−ii1-1−ii-11i−i−ii−ii11-1-1-11i−i-11i−i1-1−ii-11i−i
χ271-11-111-11-1-11-11-1-111i−i-11-1−ii1-11-1-11i−i-11i−i-11-11i−ii−i1-1−ii−ii−i−iii1-11-1−ii−ii-11i−i-11i−i-11i−i-11i−i−ii−ii11-1-11-1−ii1-1−ii-11i−i-11i−i
χ281-11-111-11-1-11-11-1-111i−i-11-1−ii1-11-1-11−ii-11−ii-11-11i−ii−i1-1−ii−ii−i−iii1-1-11−iii−i-11i−i1-1−ii-11−ii-11i−ii−ii−i-1-111-11−ii1-1i−i1-1i−i1-1−ii
χ291-11-111-11-1-11-11-1-111−ii-11-1i−i1-11-11-1i−i1-1i−i-11-11−ii−ii1-1i−ii−iii−i−i-11-11−ii−ii1-1i−i1-1i−i1-1i−i-11−iii−ii−i11-1-1-11−ii-11−ii1-1i−i-11−ii
χ301-11-111-11-1-11-11-1-111−ii-11-1i−i1-11-11-1−ii1-1−ii-11-11−ii−ii1-1i−ii−iii−i−i-111-1−iii−i1-1i−i-11−ii1-1−ii-11−ii−ii−ii-1-1111-1−ii-11i−i-11i−i1-1i−i
χ311-11-111-11-1-11-11-1-111−ii-11-1i−i1-11-1-11i−i-11i−i-11-11−ii−ii1-1i−ii−iii−i−i1-1-11i−i−ii-11−ii1-1i−i-11i−i-11−ii−ii−ii-1-111-11i−i1-1−ii1-1−ii1-1i−i
χ321-11-111-11-1-11-11-1-111−ii-11-1i−i1-11-1-11−ii-11−ii-11-11−ii−ii1-1i−ii−iii−i−i1-11-1i−ii−i-11−ii-11−ii-11−ii-11−iii−ii−i11-1-11-1i−i1-1i−i-11−ii-11−ii
χ33222222-2-22222220020022200-2-2-2-22222-2-2-2-200000000-2-2000000000000000022000022-2-2-2-20000-2-22200000000000000000000
χ34222222-2-22222220020022200-2-2-2-222-2-2-2-22200000000-2-20000000000000000220000-2-2-2-222000022-2-200000000000000000000
χ35222222-2-22222220020022200-2-2-2-2-2-22222-2-200000000-2-20000000000000000-2-200002222-2-2000022-2-200000000000000000000
χ36222222-2-22222220020022200-2-2-2-2-2-2-2-2222200000000-2-20000000000000000-2-20000-2-222220000-2-22200000000000000000000
χ3722222-122-122-1-1222-122-1-1-122-122-12200220022-1-1-1-122-1-122-1-1-1-1-1-122002200-1-1220000-1-100-1-1-1-10000000000-1-1-1-10000-1-10000
χ3822222-122-122-1-1222-122-1-1-122-122-1-2-200-2-20022-1-1-1-122-1-122-1-1-1-1-1-1-2-200-2-20011-2-200001100-1-1-1-1000000000011110000110000
χ3922222-122-122-1-1222-1-2-2-1-1-1-2-2-122-12200220022-1-111-2-2-1-1-2-21111112200-2-200-1-1-2-20000-1-100-1-111000000000011-1-10000110000
χ4022222-122-122-1-1222-1-2-2-1-1-1-2-2-122-1-2-200-2-20022-1-111-2-2-1-1-2-2111111-2-2002200112200001100-1-1110000000000-1-1110000-1-10000
χ4122222-122-122-1-12-2-2-122-1-1-1-2-2-122-122002200-2-211-1-122-1-1-2-2111111-2-2002200-1-1-2-20000-1-10011-1-10000000000-1-1110000110000
χ4222222-122-122-1-12-2-2-122-1-1-1-2-2-122-1-2-200-2-200-2-211-1-122-1-1-2-21111112200-2-20011220000110011-1-1000000000011-1-10000-1-10000
χ4322222-122-122-1-12-2-2-1-2-2-1-1-122-122-122002200-2-21111-2-2-1-122-1-1-1-1-1-1-2-200-2-200-1-1220000-1-1001111000000000011110000-1-10000
χ4422222-122-122-1-12-2-2-1-2-2-1-1-122-122-1-2-200-2-200-2-21111-2-2-1-122-1-1-1-1-1-12200220011-2-20000110011110000000000-1-1-1-10000110000
χ452222-12222-1-122-122-122-1-1-1222-1-1200220022-1-12222-1-1-1-1-1-122-1-1-1-100220022000022-1-100-1-1-1-1-1-100000000-1-10000-1-1-1-1000000
χ462222-12222-1-122-122-122-1-1-1222-1-1200-2-200-2-2-1-12222-1-1-1-1-1-122-1-1-1-100-2-200-2-20000-2-2110011-1-1-1-1000000001100001111000000
χ472222-12222-1-122-122-1-2-2-1-1-1-2-22-1-1200220022-1-122-2-211-1-111-2-2111100-2-200220000-2-2-1-100-1-1-1-11100000000110000-1-111000000
χ482222-12222-1-122-122-1-2-2-1-1-1-2-22-1-1200-2-200-2-2-1-122-2-211-1-111-2-21111002200-2-2000022110011-1-11100000000-1-1000011-1-1000000
χ492222-12222-1-122-1-2-2-122-1-1-1-2-22-1-120022002211-2-222-1-1-1-111-2-21111002200-2-20000-2-2-1-100-1-111-1-100000000-1-100001111000000
χ502222-12222-1-122-1-2-2-122-1-1-1-2-22-1-1200-2-200-2-211-2-222-1-1-1-111-2-2111100-2-2002200002211001111-1-100000000110000-1-1-1-1000000
χ512222-12222-1-122-1-2-2-1-2-2-1-1-1222-1-120022002211-2-2-2-211-1-1-1-122-1-1-1-100-2-200-2-2000022-1-100-1-111110000000011000011-1-1000000
χ522222-12222-1-122-1-2-2-1-2-2-1-1-1222-1-1200-2-200-2-211-2-2-2-211-1-1-1-122-1-1-1-1002200220000-2-2110011111100000000-1-10000-1-111000000
χ532-22-2222-2-2-22-22-200200-22-200-22-222-22i−2i-22−2i2i00000000-2200000000000000002-200002i−2i-22−2i2i0000−2i2i2i−2i00000000000000000000
χ542-22-2222-2-2-22-22-200200-22-200-22-222-2−2i2i-222i−2i00000000-2200000000000000002-20000−2i2i-222i−2i00002i−2i−2i2i00000000000000000000
χ552-22-2222-2-2-22-22-200200-22-200-22-22-222i−2i2-2−2i2i00000000-220000000000000000-2200002i−2i2-2−2i2i00002i−2i−2i2i00000000000000000000
χ562-22-2222-2-2-22-22-200200-22-200-22-22-22−2i2i2-22i−2i00000000-220000000000000000-220000−2i2i2-22i−2i0000−2i2i2i−2i00000000000000000000
χ572-22-22-1-221-221-1-22-2-12i−2i1-112i−2i-1-2212-2002-2002-2-11−ii2i−2i-112i−2i−ii−i−iii2-2002i−2i00-112i−2i0000-1100-11−ii0000000000−ii-110000−ii0000
χ582-22-22-1-221-221-1-22-2-12i−2i1-112i−2i-1-221-2200-22002-2-11−ii2i−2i-112i−2i−ii−i−iii-2200−2i2i001-1−2i2i00001-100-11−ii0000000000i−i1-10000i−i0000
χ592-22-22-1-221-221-1-22-2-1−2i2i1-11−2i2i-1-2212-2002-2002-2-11i−i−2i2i-11−2i2ii−iii−i−i2-200−2i2i00-11−2i2i0000-1100-11i−i0000000000i−i-110000i−i0000
χ602-22-22-1-221-221-1-22-2-1−2i2i1-11−2i2i-1-221-2200-22002-2-11i−i−2i2i-11−2i2ii−iii−i−i-22002i−2i001-12i−2i00001-100-11i−i0000000000−ii1-10000−ii0000
χ612-22-22-1-221-221-1-2-22-12i−2i1-11−2i2i-1-2212-2002-200-221-1−ii2i−2i-11−2i2ii−iii−i−i-22002i−2i00-11−2i2i0000-11001-1−ii0000000000−ii1-10000i−i0000
χ622-22-22-1-221-221-1-2-22-12i−2i1-11−2i2i-1-221-2200-2200-221-1−ii2i−2i-11−2i2ii−iii−i−i2-200−2i2i001-12i−2i00001-1001-1−ii0000000000i−i-110000−ii0000
χ632-22-22-1-221-221-1-2-22-1−2i2i1-112i−2i-1-2212-2002-200-221-1i−i−2i2i-112i−2i−ii−i−iii-2200−2i2i00-112i−2i0000-11001-1i−i0000000000i−i1-10000−ii0000
χ642-22-22-1-221-221-1-2-22-1−2i2i1-112i−2i-1-221-2200-2200-221-1i−i−2i2i-112i−2i−ii−i−iii2-2002i−2i001-1−2i2i00001-1001-1i−i0000000000−ii-110000i−i0000
χ652-22-2-12-22-21-1-2212-2-12i−2i1-112i−2i21-1-2002i−2i002i−2i-112-22i−2i−ii-11−ii2i−2i−i−iii002-2002i−2i00002-2−ii00−ii-11−ii00000000-110000−ii-11000000
χ662-22-2-12-22-21-1-2212-2-12i−2i1-112i−2i21-1-200−2i2i00−2i2i-112-22i−2i−ii-11−ii2i−2i−i−iii00-2200−2i2i0000-22i−i00i−i-11−ii000000001-10000i−i1-1000000
χ672-22-2-12-22-21-1-2212-2-1−2i2i1-11−2i2i21-1-2002i−2i002i−2i-112-2−2i2ii−i-11i−i−2i2iii−i−i00-22002i−2i0000-22−ii00−ii-11i−i000000001-10000−ii1-1000000
χ682-22-2-12-22-21-1-2212-2-1−2i2i1-11−2i2i21-1-200−2i2i00−2i2i-112-2−2i2ii−i-11i−i−2i2iii−i−i002-200−2i2i00002-2i−i00i−i-11i−i00000000-110000i−i-11000000
χ692-22-2-12-22-21-1-221-22-12i−2i1-11−2i2i21-1-2002i−2i002i−2i1-1-222i−2i−ii-11i−i−2i2iii−i−i002-200−2i2i0000-22−ii00−ii1-1−ii00000000-110000i−i1-1000000
χ702-22-2-12-22-21-1-221-22-12i−2i1-11−2i2i21-1-200−2i2i00−2i2i1-1-222i−2i−ii-11i−i−2i2iii−i−i00-22002i−2i00002-2i−i00i−i1-1−ii000000001-10000−ii-11000000
χ712-22-2-12-22-21-1-221-22-1−2i2i1-112i−2i21-1-2002i−2i002i−2i1-1-22−2i2ii−i-11−ii2i−2i−i−iii00-2200−2i2i00002-2−ii00−ii1-1i−i000000001-10000i−i-11000000
χ722-22-2-12-22-21-1-221-22-1−2i2i1-112i−2i21-1-200−2i2i00−2i2i1-1-22−2i2ii−i-11−ii2i−2i−i−iii002-2002i−2i0000-22i−i00i−i1-1i−i00000000-110000−ii1-1000000
χ7344444-2-4-4-244-2-2400-200-2-2-2002-4-424400-4-40000000000220000000000000000-2-200000022000000000000000000000000000000
χ7444444-2-4-4-244-2-2400-200-2-2-2002-4-42-4-40044000000000022000000000000000022000000-2-2000000000000000000000000000000
χ754444-24-4-44-2-244-200-200-2-2-200-422-4004400-4-400000000220000000000000000000000-2-200220000000000000000000000000000
χ764444-24-4-44-2-244-200-200-2-2-200-422-400-4-40044000000002200000000000000000000002200-2-20000000000000000000000000000
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
χ8144-4-4440044-4-4-4-4004004-4-400000000000000000000000000000000000000000000000000000000000022−2222−220000000000000000
χ8244-4-4440044-4-4-4-4004004-4-4000000000000000000000000000000000000000000000000000000000000−2222−22220000000000000000
χ834-44-44-24-42-442-2-400-2002-220024-4-24-400-4400000000002-20000000000000000-220000002-2000000000000000000000000000000
χ844-44-44-24-42-442-2-400-2002-220024-4-2-44004-400000000002-200000000000000002-2000000-22000000000000000000000000000000
χ854-44-4-244-4-42-2-44200-2002-2200-4-224004i−4i00−4i4i000000002-20000000000000000000000−2i2i002i−2i0000000000000000000000000000
χ864-44-4-244-4-42-2-44200-2002-2200-4-22400−4i4i004i−4i000000002-200000000000000000000002i−2i00−2i2i0000000000000000000000000000
χ874-44-4-2-2-4422-22-224-414i−4i-11-14i−4i-22-2200000000-22-22−2i2i−2i2i1-1−2i2i−2i2iii−i−i000000000000000000001-1i−i000000000000000000000000
χ884-44-4-2-2-4422-22-224-41−4i4i-11-1−4i4i-22-2200000000-22-222i−2i2i−2i1-12i−2i2i−2i−i−iii000000000000000000001-1−ii000000000000000000000000
χ894-44-4-2-2-4422-22-22-4414i−4i-11-1−4i4i-22-22000000002-22-2−2i2i−2i2i1-12i−2i2i−2i−i−iii00000000000000000000-11i−i000000000000000000000000
χ904-44-4-2-2-4422-22-22-441−4i4i-11-14i−4i-22-22000000002-22-22i−2i2i−2i1-1−2i2i−2i2iii−i−i00000000000000000000-11−ii000000000000000000000000
χ914-4-444400-4-4-44-4400400-4-4400000000000000000000000000000000000000000000000000000000000022−22−22220000000000000000
χ924-4-444400-4-4-44-4400400-4-44000000000000000000000000000000000000000000000000000000000000−222222−220000000000000000
χ938888-4-4-8-8-4-4-4-4-4-4002002220044440000000000000000-2-200000000000000000000000000000000000000000000000000000000
χ9488-8-88-400-48-844-800-400-44400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9588-8-8-48008-44-8-8400-400-44400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9688-8-8-4-400-4-44444002002-2-200000000000000000000000000003i2−3i23i2−3i2000000000000000000000000000000000000000000000000
χ9788-8-8-4-400-4-44444002002-2-20000000000000000000000000000−3i23i2−3i23i2000000000000000000000000000000000000000000000000
χ988-88-8-4-48-844-44-4400200-22-2004-44-40000000000000000-2200000000000000000000000000000000000000000000000000000000
χ998-8-888-4004-8-8-44800-40044-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1008-8-88-4800-8448-8-400-40044-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-400444-44-400200-2-22000000000000000000000000000032−32−3232000000000000000000000000000000000000000000000000
χ1028-8-88-4-400444-44-400200-2-220000000000000000000000000000−323232−32000000000000000000000000000000000000000000000000

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