Finite Group Databasebeta

← Group #11860437

Character table — Group #11860437

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11112222222222444444444444446666666688888888888888888899991212121212121212121212121212121212121212161616161818242424242424242424242424363636363636
order122233446666663444466688121212122244444412121212121212121212242424242424242444442244444466888812121212121212121212446612121212121224242424444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-111-1-1111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1
χ31111111111111111111111111111-1-111-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
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
χ511111111111111111-1-1111-1-1111111111111-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1111111-1-1111111-1-111-1-1-1-1-1-1-1-111-1-1
χ611111111111111111-1-1111-1-1111111-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-1-1-111-1-111-1-1-1-11111-1-111-1-111
χ711111111111111111-1-1111-1-11111-1-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-111
χ811111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-111-1-1
χ9111111111111111-1-111111-1-111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111111111-1-111-1-111-1-111-1-1-1-111-1-1-1-1
χ10111111111111111-1-111111-1-1111111-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-111-1-111-1-1-1-1-1-11111-1-111-1-1-1-11111
χ11111111111111111-1-111111-1-11111-1-111-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111-1-11111-1-1-1-111-1-1-1-111-1-111-1-11111
χ12111111111111111-1-111111-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-111-1-1111111-1-1-1-1
χ13111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111
χ14111111111111111-1-1-1-111111111111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1
χ15111111111111111-1-1-1-1111111111-1-111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1
χ16111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111
χ171-11-111-11-1-11-11-111-1i−i-1-11i−i1-11-11-1i−i1-1i−ii−i1-1i−i1-11-1i−ii−iii−i−iii−i−i1-1i−i1-1i−i1-1i−i1-1i−i1-1i−ii−i1-1i−i1-1i−ii−i1-11-1i−i1-1i−i1-1
χ181-11-111-11-1-11-11-111-1i−i-1-11i−i1-11-11-1−ii1-1−iii−i1-1i−i1-11-1i−ii−iii−i−i−i−iii1-1−ii-11i−i1-1i−i-11−ii1-1−iii−i1-1−ii1-1i−i−ii-11-11i−i-11−ii-11
χ191-11-111-11-1-11-11-111-1i−i-1-11i−i1-11-1-11i−i-11i−ii−i1-1i−i1-11-1i−ii−iii−i−i−i−iii-11i−i1-1−ii-11−ii1-1i−i-11i−ii−i1-1−ii-11−iii−i1-11-1−ii-11−ii-11
χ201-11-111-11-1-11-11-111-1i−i-1-11i−i1-11-1-11−ii-11−iii−i1-1i−i1-11-1i−ii−iii−i−iii−i−i-11−ii-11−ii-11−ii-11−ii-11−iii−i1-1i−i-11−ii−ii-11-11−ii1-1i−i1-1
χ211-11-111-11-1-11-11-111-1−ii-1-11−ii1-11-11-1i−i1-1i−i−ii1-1−ii1-11-1−ii−ii−i−iiiii−i−i1-1i−i-11−ii1-1−ii-11i−i1-1i−i−ii1-1i−i1-1−iii−i-11-11−ii-11i−i-11
χ221-11-111-11-1-11-11-111-1−ii-1-11−ii1-11-11-1−ii1-1−ii−ii1-1−ii1-11-1−ii−ii−i−iii−i−iii1-1−ii1-1−ii1-1−ii1-1−ii1-1−ii−ii1-1−ii1-1−ii−ii1-11-1−ii1-1−ii1-1
χ231-11-111-11-1-11-11-111-1−ii-1-11−ii1-11-1-11i−i-11i−i−ii1-1−ii1-11-1−ii−ii−i−iii−i−iii-11i−i-11i−i-11i−i-11i−i-11i−i−ii1-1−ii-11i−ii−i-11-11i−i1-1−ii1-1
χ241-11-111-11-1-11-11-111-1−ii-1-11−ii1-11-1-11−ii-11−ii−ii1-1−ii1-11-1−ii−ii−i−iiiii−i−i-11−ii1-1i−i-11i−i1-1−ii-11−ii−ii1-1i−i-11i−i−ii1-11-1i−i-11i−i-11
χ251-11-111-11-1-11-11-11-11i−i-1-11−ii1-11-11-1i−i1-1i−ii−i-11i−i-111-1−ii−ii−i−iiiii−i−i-11−ii1-1i−i1-1−ii-11i−i1-1i−ii−i-11i−i-11i−i−ii1-1-11−ii1-1−ii-11
χ261-11-111-11-1-11-11-11-11i−i-1-11−ii1-11-11-1−ii1-1−iii−i-11i−i-111-1−ii−ii−i−iii−i−iii-11i−i-11i−i1-1−ii1-1−ii1-1−iii−i-11−ii-11i−ii−i-111-1−ii-11i−i1-1
χ271-11-111-11-1-11-11-11-11i−i-1-11−ii1-11-1-11i−i-11i−ii−i-11i−i-111-1−ii−ii−i−iii−i−iii1-1−ii1-1−ii-11i−i-11i−i-11i−ii−i-11−ii1-1−ii−ii1-1-11i−i-11i−i1-1
χ281-11-111-11-1-11-11-11-11i−i-1-11−ii1-11-1-11−ii-11−iii−i-11i−i-111-1−ii−ii−i−iiiii−i−i1-1i−i-11−ii-11i−i1-1−ii-11−iii−i-11i−i1-1−iii−i-111-1i−i1-1−ii-11
χ291-11-111-11-1-11-11-11-11−ii-1-11i−i1-11-11-1i−i1-1i−i−ii-11−ii-111-1i−ii−iii−i−iii−i−i-11−ii-11−ii1-1i−i1-1i−i1-1i−i−ii-11i−i-11−ii−ii-111-1i−i-11−ii1-1
χ301-11-111-11-1-11-11-11-11−ii-1-11i−i1-11-11-1−ii1-1−ii−ii-11−ii-111-1i−ii−iii−i−i−i−iii-11i−i1-1−ii1-1i−i-11−ii1-1−ii−ii-11−ii-11−iii−i1-1-11i−i1-1i−i-11
χ311-11-111-11-1-11-11-11-11−ii-1-11i−i1-11-1-11i−i-11i−i−ii-11−ii-111-1i−ii−iii−i−i−i−iii1-1−ii-11i−i-11−ii1-1i−i-11i−i−ii-11−ii1-1i−i−ii-111-1−ii1-1i−i-11
χ321-11-111-11-1-11-11-11-11−ii-1-11i−i1-11-1-11−ii-11−ii−ii-11−ii-111-1i−ii−iii−i−iii−i−i1-1i−i1-1i−i-11−ii-11−ii-11−ii−ii-11i−i1-1i−ii−i1-1-11−ii-11−ii1-1
χ33222222-2-22222222000022200-2-2-2-22222-2-2-2-200000000-2-200000000222200000000220000-2-2-2-2220000-2-2000000000000000000
χ34222222-2-22222222000022200-2-2-2-222-2-2-2-22200000000-2-200000000-2-2-2-20000000022000022-2-2-2-2000022000000000000000000
χ35222222-2-22222222000022200-2-2-2-2-2-22222-2-200000000-2-200000000-2-2-2-200000000-2-20000-2-22222000022000000000000000000
χ36222222-2-22222222000022200-2-2-2-2-2-2-2-2222200000000-2-200000000222200000000-2-200002222-2-20000-2-2000000000000000000
χ3722222-122-12-1-122-12222-1-1-122-122-12200220022-1-1-1-122-1-122-1-1-1-1-1-1000022000022-1-1220000-1-100-1-1-1-100-1-1-1-1000000-1-1000000
χ3822222-122-12-1-122-12222-1-1-122-122-1-2-200-2-20022-1-1-1-122-1-122-1-1-1-1-1-10000-2-20000-2-211-2-200001100-1-1-1-100111100000011000000
χ3922222-122-12-1-122-122-2-2-1-1-1-2-2-122-122002200-2-2-1-11122-1-1-2-21111110000220000-2-2-1-1-2-20000-1-10011-1-100-1-11100000011000000
χ4022222-122-12-1-122-122-2-2-1-1-1-2-2-122-1-2-200-2-200-2-2-1-11122-1-1-2-21111110000-2-200002211220000110011-1-10011-1-1000000-1-1000000
χ4122222-122-12-1-122-1-2-222-1-1-1-2-2-122-1220022002211-1-1-2-2-1-1-2-21111110000-2-2000022-1-1-2-20000-1-100-1-1110011-1-100000011000000
χ4222222-122-12-1-122-1-2-222-1-1-1-2-2-122-1-2-200-2-2002211-1-1-2-2-1-1-2-21111110000220000-2-2112200001100-1-11100-1-111000000-1-1000000
χ4322222-122-12-1-122-1-2-2-2-2-1-1-122-122-122002200-2-21111-2-2-1-122-1-1-1-1-1-10000-2-20000-2-2-1-1220000-1-1001111001111000000-1-1000000
χ4422222-122-12-1-122-1-2-2-2-2-1-1-122-122-1-2-200-2-200-2-21111-2-2-1-122-1-1-1-1-1-100002200002211-2-200001100111100-1-1-1-100000011000000
χ452222-12222-122-1-1-12222-1-1-1222-1-1200220022-1-12222-1-1-1-1-1-122-1-1-1-1000000222200000022-1-100-1-1-1-1-1-1000000-1-1-1-1-1-100000000
χ462222-12222-122-1-1-12222-1-1-1222-1-1200-2-200-2-2-1-12222-1-1-1-1-1-122-1-1-1-1000000-2-2-2-2000000-2-2110011-1-1-1-100000011111100000000
χ472222-12222-122-1-1-122-2-2-1-1-1-2-22-1-12002200221122-2-2-1-1-1-111-2-2111100000022-2-2000000-2-2-1-100-1-111-1-1000000-1-1111100000000
χ482222-12222-122-1-1-122-2-2-1-1-1-2-22-1-1200-2-200-2-21122-2-2-1-1-1-111-2-21111000000-2-2220000002211001111-1-100000011-1-1-1-100000000
χ492222-12222-122-1-1-1-2-222-1-1-1-2-22-1-1200220022-1-1-2-22211-1-111-2-21111000000-2-222000000-2-2-1-100-1-1-1-11100000011-1-11100000000
χ502222-12222-122-1-1-1-2-222-1-1-1-2-22-1-1200-2-200-2-2-1-1-2-22211-1-111-2-2111100000022-2-200000022110011-1-111000000-1-111-1-100000000
χ512222-12222-122-1-1-1-2-2-2-2-1-1-1222-1-120022002211-2-2-2-211-1-1-1-122-1-1-1-1000000-2-2-2-200000022-1-100-1-111110000001111-1-100000000
χ522222-12222-122-1-1-1-2-2-2-2-1-1-1222-1-1200-2-200-2-211-2-2-2-211-1-1-1-122-1-1-1-10000002222000000-2-21100111111000000-1-1-1-11100000000
χ532-22-2222-2-2-22-22-220000-2-2200-22-222-22i−2i-22−2i2i00000000-22000000002i2i−2i−2i000000002-20000−2i2i-222i−2i0000−2i2i000000000000000000
χ542-22-2222-2-2-22-22-220000-2-2200-22-222-2−2i2i-222i−2i00000000-2200000000−2i−2i2i2i000000002-200002i−2i-22−2i2i00002i−2i000000000000000000
χ552-22-2222-2-2-22-22-220000-2-2200-22-22-222i−2i2-2−2i2i00000000-2200000000−2i−2i2i2i00000000-220000−2i2i2-22i−2i00002i−2i000000000000000000
χ562-22-2222-2-2-22-22-220000-2-2200-22-22-22−2i2i2-22i−2i00000000-22000000002i2i−2i−2i00000000-2200002i−2i2-2−2i2i0000−2i2i000000000000000000
χ572-22-22-1-221-2-112-2-12-22i−2i11-12i−2i-1-2212-2002-2002i−2i-11−ii2-2-112i−2i−ii−i−iii00002-200002i−2i-112i−2i0000-1100−ii-1100-11−ii000000−ii000000
χ582-22-22-1-221-2-112-2-12-22i−2i11-12i−2i-1-221-2200-22002i−2i-11−ii2-2-112i−2i−ii−i−iii0000-220000−2i2i1-1−2i2i00001-100−ii-11001-1i−i000000i−i000000
χ592-22-22-1-221-2-112-2-12-2−2i2i11-1−2i2i-1-2212-2002-200−2i2i-11i−i2-2-11−2i2ii−iii−i−i00002-20000−2i2i-11−2i2i0000-1100i−i-1100-11i−i000000i−i000000
χ602-22-22-1-221-2-112-2-12-2−2i2i11-1−2i2i-1-221-2200-2200−2i2i-11i−i2-2-11−2i2ii−iii−i−i0000-2200002i−2i1-12i−2i00001-100i−i-11001-1−ii000000−ii000000
χ612-22-22-1-221-2-112-2-1-222i−2i11-1−2i2i-1-2212-2002-2002i−2i1-1−ii-22-11−2i2ii−iii−i−i0000-2200002i−2i-11−2i2i0000-1100−ii1-1001-1−ii000000i−i000000
χ622-22-22-1-221-2-112-2-1-222i−2i11-1−2i2i-1-221-2200-22002i−2i1-1−ii-22-11−2i2ii−iii−i−i00002-20000−2i2i1-12i−2i00001-100−ii1-100-11i−i000000−ii000000
χ632-22-22-1-221-2-112-2-1-22−2i2i11-12i−2i-1-2212-2002-200−2i2i1-1i−i-22-112i−2i−ii−i−iii0000-220000−2i2i-112i−2i0000-1100i−i1-1001-1i−i000000−ii000000
χ642-22-22-1-221-2-112-2-1-22−2i2i11-12i−2i-1-221-2200-2200−2i2i1-1i−i-22-112i−2i−ii−i−iii00002-200002i−2i1-1−2i2i00001-100i−i1-100-11−ii000000i−i000000
χ652-22-2-12-22-212-2-11-12-22i−2i11-12i−2i21-1-2002i−2i002i−2i−ii2-22i−2i-11-11−ii2i−2i−i−iii0000002i−2i2-20000002-2−ii00−ii−ii-11000000−ii-11-1100000000
χ662-22-2-12-22-212-2-11-12-22i−2i11-12i−2i21-1-200−2i2i00−2i2i−ii2-22i−2i-11-11−ii2i−2i−i−iii000000−2i2i-22000000-22i−i00i−i−ii-11000000i−i1-11-100000000
χ672-22-2-12-22-212-2-11-12-2−2i2i11-1−2i2i21-1-2002i−2i002i−2ii−i2-2−2i2i-11-11i−i−2i2iii−i−i0000002i−2i-22000000-22−ii00−iii−i-11000000−ii1-11-100000000
χ682-22-2-12-22-212-2-11-12-2−2i2i11-1−2i2i21-1-200−2i2i00−2i2ii−i2-2−2i2i-11-11i−i−2i2iii−i−i000000−2i2i2-20000002-2i−i00i−ii−i-11000000i−i-11-1100000000
χ692-22-2-12-22-212-2-11-1-222i−2i11-1−2i2i21-1-2002i−2i002i−2i−ii-222i−2i1-1-11i−i−2i2iii−i−i000000−2i2i2-2000000-22−ii00−ii−ii1-1000000i−i-111-100000000
χ702-22-2-12-22-212-2-11-1-222i−2i11-1−2i2i21-1-200−2i2i00−2i2i−ii-222i−2i1-1-11i−i−2i2iii−i−i0000002i−2i-220000002-2i−i00i−i−ii1-1000000−ii1-1-1100000000
χ712-22-2-12-22-212-2-11-1-22−2i2i11-12i−2i21-1-2002i−2i002i−2ii−i-22−2i2i1-1-11−ii2i−2i−i−iii000000−2i2i-220000002-2−ii00−iii−i1-1000000i−i1-1-1100000000
χ722-22-2-12-22-212-2-11-1-22−2i2i11-12i−2i21-1-200−2i2i00−2i2ii−i-22−2i2i1-1-11−ii2i−2i−i−iii0000002i−2i2-2000000-22i−i00i−ii−i1-1000000−ii-111-100000000
χ7344444-2-4-4-24-2-244-20000-2-2-2002-4-424400-4-400000000002200000000000000000000-2-20000002200000000000000000000000000
χ7444444-2-4-4-24-2-244-20000-2-2-2002-4-42-4-400440000000000220000000000000000000022000000-2-200000000000000000000000000
χ754444-24-4-44-244-2-2-20000-2-2-200-422-4004400-4-40000000022000000000000000000000000002200-2-2000000000000000000000000
χ764444-24-4-44-244-2-2-20000-2-2-200-422-400-4-40044000000002200000000000000000000000000-2-20022000000000000000000000000
χ774444-2-244-2-2-2-2-2-21444411144-2-2-2-200000000-2-2-2-2-2-2-2-211-2-2-2-21111000000000000000000000000111100000000000000000000
χ784444-2-244-2-2-2-2-2-2144-4-4111-4-4-2-2-2-20000000022-2-222-2-2112222-1-1-1-1000000000000000000000000-1-11100000000000000000000
χ794444-2-244-2-2-2-2-2-21-4-444111-4-4-2-2-2-200000000-2-222-2-222112222-1-1-1-100000000000000000000000011-1-100000000000000000000
χ804444-2-244-2-2-2-2-2-21-4-4-4-411144-2-2-2-2000000002222222211-2-2-2-21111000000000000000000000000-1-1-1-100000000000000000000
χ8144-4-444004-4-4-4-44400004-4-4000000000000000000000000000000004-44-400000000000000000000000000000000000000000000
χ8244-4-444004-4-4-4-44400004-4-400000000000000000000000000000000-44-4400000000000000000000000000000000000000000000
χ834-44-44-24-42-4-224-4-2000022-20024-4-24-400-4400000000002-200000000000000000000-220000002-200000000000000000000000000
χ844-44-44-24-42-4-224-4-2000022-20024-4-2-44004-400000000002-2000000000000000000002-2000000-2200000000000000000000000000
χ854-44-4-244-4-424-4-22-2000022-200-4-224004i−4i00−4i4i000000002-2000000000000000000000000002i−2i00−2i2i000000000000000000000000
χ864-44-4-244-4-424-4-22-2000022-200-4-22400−4i4i004i−4i000000002-200000000000000000000000000−2i2i002i−2i000000000000000000000000
χ874-44-4-2-2-4422-22-2214-44i−4i-1-114i−4i-22-2200000000−2i2i-22−2i2i-221-1−2i2i−2i2iii−i−i000000000000000000000000i−i1-100000000000000000000
χ884-44-4-2-2-4422-22-2214-4−4i4i-1-11−4i4i-22-22000000002i−2i-222i−2i-221-12i−2i2i−2i−i−iii000000000000000000000000−ii1-100000000000000000000
χ894-44-4-2-2-4422-22-221-444i−4i-1-11−4i4i-22-2200000000−2i2i2-2−2i2i2-21-12i−2i2i−2i−i−iii000000000000000000000000i−i-1100000000000000000000
χ904-44-4-2-2-4422-22-221-44−4i4i-1-114i−4i-22-22000000002i−2i2-22i−2i2-21-1−2i2i−2i2iii−i−i000000000000000000000000−ii-1100000000000000000000
χ914-4-444400-44-44-4-440000-44-4000000000000000000000000000000004i−4i−4i4i00000000000000000000000000000000000000000000
χ924-4-444400-44-44-4-440000-44-400000000000000000000000000000000−4i4i4i−4i00000000000000000000000000000000000000000000
χ938888-4-4-8-8-4-4-4-4-4-4200002220044440000000000000000-2-200000000000000000000000000000000000000000000000000000000
χ9488-8-88-400-4-844-88-40000-44400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9588-8-8-480084-8-84-4-40000-44400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9688-8-8-4-400-44444-4200002-2-2000000000000000000000000000032−3232−32000000000000000000000000000000000000000000000000
χ9788-8-8-4-400-44444-4200002-2-20000000000000000000000000000−3232−3232000000000000000000000000000000000000000000000000
χ988-88-8-4-48-844-44-4420000-2-22004-44-40000000000000000-2200000000000000000000000000000000000000000000000000000000
χ998-8-888-400484-4-8-8-400004-4400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1008-8-88-4800-8-4-8844-400004-4400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-4004-44-44420000-22-200000000000000000000000000003i2−3i2−3i23i2000000000000000000000000000000000000000000000000
χ1028-8-88-4-4004-44-44420000-22-20000000000000000000000000000−3i23i23i2−3i2000000000000000000000000000000000000000000000000

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