Finite Group Databasebeta

← Group #11860334

Character table — Group #11860334

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11112222222222444444444444446666666688888888888888888899991212121212121212121212121212121212121212161616161818242424242424242424242424363636363636
order1222334466666634444666881212121222444444121212121212121212122424242424242424444422224444668888121212121212121212124466661212121224242424224488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
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
χ511111111111111111-1-1111-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1111111-1-11111-1-111-1-111-1-1-1-1-1-111-1-1
χ611111111111111111-1-1111-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-111-1-11111-1-1-1-111-1-111-1-111
χ711111111111111111-1-1111-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-111-1-1-1-1-1-11111-1-11111-1-111
χ811111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-111-1-1
χ9111111111111111-1-111111-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-111111111-1-11111-1-111-1-1-1-1-1-111-1-1-1-1
χ10111111111111111-1-111111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111
χ11111111111111111-1-111111-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11111
χ12111111111111111-1-111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-111-1-111-1-111-1-111111111-1-1-1-1
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
χ14111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1
χ15111111111111111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1
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
χ1711-1-111-11-11-11-1-111-1i−i-1-11i−i1-11-11-11-1i−ii−i1-11-1i−ii−i1-1i−ii−iii−i−iii−i−i1-11-1i−ii−i1-1i−i1-1i−i1-1i−ii−i1-1i−i1-11-1i−ii−i1-1i−i1-1i−i1-1
χ1811-1-111-11-11-11-1-111-1i−i-1-11i−i1-11-11-11-1−ii−ii1-11-1i−ii−i1-1i−ii−iii−i−i−i−iii1-1-11i−i−ii1-1i−i-11−ii1-1−iii−i1-1−ii-111-1i−i−ii-11i−i-11−ii-11
χ1911-1-111-11-11-11-1-111-1i−i-1-11i−i1-11-1-11-11i−ii−i1-11-1i−ii−i1-1i−ii−iii−i−i−i−iii-111-1−iii−i-11−ii1-1i−i-11i−ii−i1-1−ii1-1-11−iii−i1-1−ii-11−ii-11
χ2011-1-111-11-11-11-1-111-1i−i-1-11i−i1-11-1-11-11−ii−ii1-11-1i−ii−i1-1i−ii−iii−i−iii−i−i-11-11−ii−ii-11−ii-11−ii-11−iii−i1-1i−i-11-11−ii−ii-11−ii1-1i−i1-1
χ2111-1-111-11-11-11-1-111-1−ii-1-11−ii1-11-11-11-1i−ii−i1-11-1−ii−ii1-1−ii−ii−i−iiiii−i−i1-1-11−iii−i1-1−ii-11i−i1-1i−i−ii1-1i−i-111-1−iii−i-11−ii-11i−i-11
χ2211-1-111-11-11-11-1-111-1−ii-1-11−ii1-11-11-11-1−ii−ii1-11-1−ii−ii1-1−ii−ii−i−iii−i−iii1-11-1−ii−ii1-1−ii1-1−ii1-1−ii−ii1-1−ii1-11-1−ii−ii1-1−ii1-1−ii1-1
χ2311-1-111-11-11-11-1-111-1−ii-1-11−ii1-11-1-11-11i−ii−i1-11-1−ii−ii1-1−ii−ii−i−iii−i−iii-11-11i−ii−i-11i−i-11i−i-11i−i−ii1-1−ii-11-11i−ii−i-11i−i1-1−ii1-1
χ2411-1-111-11-11-11-1-111-1−ii-1-11−ii1-11-1-11-11−ii−ii1-11-1−ii−ii1-1−ii−ii−i−iiiii−i−i-111-1i−i−ii-11i−i1-1−ii-11−ii−ii1-1i−i1-1-11i−i−ii1-1i−i-11i−i-11
χ2511-1-111-11-11-11-1-11-11i−i-1-11−ii1-11-11-11-1i−ii−i-11-11i−ii−i1-1−ii−ii−i−iiiii−i−i-111-1i−i−ii1-1−ii-11i−i1-1i−ii−i-11i−i1-1-11i−i−ii-11−ii1-1−ii-11
χ2611-1-111-11-11-11-1-11-11i−i-1-11−ii1-11-11-11-1−ii−ii-11-11i−ii−i1-1−ii−ii−i−iii−i−iii-11-11i−ii−i1-1−ii1-1−ii1-1−iii−i-11−ii-11-11i−ii−i1-1−ii-11i−i1-1
χ2711-1-111-11-11-11-1-11-11i−i-1-11−ii1-11-1-11-11i−ii−i-11-11i−ii−i1-1−ii−ii−i−iii−i−iii1-11-1−ii−ii-11i−i-11i−i-11i−ii−i-11−ii1-11-1−ii−ii-11i−i-11i−i1-1
χ2811-1-111-11-11-11-1-11-11i−i-1-11−ii1-11-1-11-11−ii−ii-11-11i−ii−i1-1−ii−ii−i−iiiii−i−i1-1-11−iii−i-11i−i1-1−ii-11−iii−i-11i−i-111-1−iii−i1-1i−i1-1−ii-11
χ2911-1-111-11-11-11-1-11-11−ii-1-11i−i1-11-11-11-1i−ii−i-11-11−ii−ii1-1i−ii−iii−i−iii−i−i-11-11−ii−ii1-1i−i1-1i−i1-1i−i−ii-11i−i-11-11−ii−ii1-1i−i-11−ii1-1
χ3011-1-111-11-11-11-1-11-11−ii-1-11i−i1-11-11-11-1−ii−ii-11-11−ii−ii1-1i−ii−iii−i−i−i−iii-111-1−iii−i1-1i−i-11−ii1-1−ii−ii-11−ii1-1-11−iii−i-11i−i1-1i−i-11
χ3111-1-111-11-11-11-1-11-11−ii-1-11i−i1-11-1-11-11i−ii−i-11-11−ii−ii1-1i−ii−iii−i−i−i−iii1-1-11i−i−ii-11−ii1-1i−i-11i−i−ii-11−ii-111-1i−i−ii1-1−ii1-1i−i-11
χ3211-1-111-11-11-11-1-11-11−ii-1-11i−i1-11-1-11-11−ii−ii-11-11−ii−ii1-1i−ii−iii−i−iii−i−i1-11-1i−ii−i-11−ii-11−ii-11−ii−ii-11i−i1-11-1i−ii−i-11−ii-11−ii1-1
χ33222222-2-22222222000022200-2-2-2-222-2-222-2-200000000-2-200000000222200000000220000-2-2-2-2220000-2-2000000000000000000
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
χ36222222-2-22222222000022200-2-2-2-2-2-222-2-22200000000-2-200000000222200000000-2-200002222-2-20000-2-2000000000000000000
χ3722222-122-122-1-12-12222-1-1-122-122-12222000022-1-1-1-122-1-122-1-1-1-1-1-1000022002200-1-1220000-1-100-1-1-1-10000-1-1-1-10000-1-1000000
χ3822222-122-122-1-12-12222-1-1-122-122-1-2-2-2-2000022-1-1-1-122-1-122-1-1-1-1-1-10000-2-200-2-20011-2-200001100-1-1-1-100001111000011000000
χ3922222-122-122-1-12-122-2-2-1-1-1-2-2-122-12222000022-1-111-2-2-1-1-2-211111100002200-2-200-1-1-2-20000-1-10011-1-10000-1-111000011000000
χ4022222-122-122-1-12-122-2-2-1-1-1-2-2-122-1-2-2-2-2000022-1-111-2-2-1-1-2-21111110000-2-200220011220000110011-1-1000011-1-10000-1-1000000
χ4122222-122-122-1-12-1-2-222-1-1-1-2-2-122-122220000-2-211-1-122-1-1-2-21111110000-2-2002200-1-1-2-20000-1-100-1-111000011-1-1000011000000
χ4222222-122-122-1-12-1-2-222-1-1-1-2-2-122-1-2-2-2-20000-2-211-1-122-1-1-2-211111100002200-2-200112200001100-1-1110000-1-1110000-1-1000000
χ4322222-122-122-1-12-1-2-2-2-2-1-1-122-122-122220000-2-21111-2-2-1-122-1-1-1-1-1-10000-2-200-2-200-1-1220000-1-1001111000011110000-1-1000000
χ4422222-122-122-1-12-1-2-2-2-2-1-1-122-122-1-2-2-2-20000-2-21111-2-2-1-122-1-1-1-1-1-100002200220011-2-20000110011110000-1-1-1-1000011000000
χ452222-12222-1-122-1-12222-1-1-1222-1-1200002222-1-12222-1-1-1-1-1-122-1-1-1-1000000220022000022-1-100-1-1-1-1-1-100-1-10000-1-1-1-100000000
χ462222-12222-1-122-1-12222-1-1-1222-1-120000-2-2-2-2-1-12222-1-1-1-1-1-122-1-1-1-1000000-2-200-2-20000-2-2110011-1-1-1-100110000111100000000
χ472222-12222-1-122-1-122-2-2-1-1-1-2-22-1-1200002222-1-122-2-211-1-111-2-21111000000-2-200220000-2-2-1-100-1-111-1-100110000-1-11100000000
χ482222-12222-1-122-1-122-2-2-1-1-1-2-22-1-120000-2-2-2-2-1-122-2-211-1-111-2-211110000002200-2-200002211001111-1-100-1-1000011-1-100000000
χ492222-12222-1-122-1-1-2-222-1-1-1-2-22-1-120000222211-2-222-1-1-1-111-2-211110000002200-2-20000-2-2-1-100-1-1-1-11100-1-10000111100000000
χ502222-12222-1-122-1-1-2-222-1-1-1-2-22-1-120000-2-2-2-211-2-222-1-1-1-111-2-21111000000-2-20022000022110011-1-11100110000-1-1-1-100000000
χ512222-12222-1-122-1-1-2-2-2-2-1-1-1222-1-120000222211-2-2-2-211-1-1-1-122-1-1-1-1000000-2-200-2-2000022-1-100-1-111110011000011-1-100000000
χ522222-12222-1-122-1-1-2-2-2-2-1-1-1222-1-120000-2-2-2-211-2-2-2-211-1-1-1-122-1-1-1-10000002200220000-2-2110011111100-1-10000-1-11100000000
χ5322-2-2222-2-22-22-2-220000-2-2200-22-222-2-222i−2i−2i2i00000000-22000000002i2i−2i−2i000000002-20000−2i2i-222i−2i0000−2i2i000000000000000000
χ5422-2-2222-2-22-22-2-220000-2-2200-22-222-2-22−2i2i2i−2i00000000-2200000000−2i−2i2i2i000000002-200002i−2i-22−2i2i00002i−2i000000000000000000
χ5522-2-2222-2-22-22-2-220000-2-2200-22-22-222-22i−2i−2i2i00000000-2200000000−2i−2i2i2i00000000-220000−2i2i2-22i−2i00002i−2i000000000000000000
χ5622-2-2222-2-22-22-2-220000-2-2200-22-22-222-2−2i2i2i−2i00000000-22000000002i2i−2i−2i00000000-2200002i−2i2-2−2i2i0000−2i2i000000000000000000
χ5722-2-22-1-2212-2-11-2-12-22i−2i11-12i−2i-1-2212-22-200002-2-11−ii2i−2i-112i−2i−ii−i−iii00002-2002i−2i00-112i−2i0000-1100−ii-110000-11−ii0000−ii000000
χ5822-2-22-1-2212-2-11-2-12-22i−2i11-12i−2i-1-221-22-2200002-2-11−ii2i−2i-112i−2i−ii−i−iii0000-2200−2i2i001-1−2i2i00001-100−ii-1100001-1i−i0000i−i000000
χ5922-2-22-1-2212-2-11-2-12-2−2i2i11-1−2i2i-1-2212-22-200002-2-11i−i−2i2i-11−2i2ii−iii−i−i00002-200−2i2i00-11−2i2i0000-1100i−i-110000-11i−i0000i−i000000
χ6022-2-22-1-2212-2-11-2-12-2−2i2i11-1−2i2i-1-221-22-2200002-2-11i−i−2i2i-11−2i2ii−iii−i−i0000-22002i−2i001-12i−2i00001-100i−i-1100001-1−ii0000−ii000000
χ6122-2-22-1-2212-2-11-2-1-222i−2i11-1−2i2i-1-2212-22-20000-221-1−ii2i−2i-11−2i2ii−iii−i−i0000-22002i−2i00-11−2i2i0000-1100−ii1-100001-1−ii0000i−i000000
χ6222-2-22-1-2212-2-11-2-1-222i−2i11-1−2i2i-1-221-22-220000-221-1−ii2i−2i-11−2i2ii−iii−i−i00002-200−2i2i001-12i−2i00001-100−ii1-10000-11i−i0000−ii000000
χ6322-2-22-1-2212-2-11-2-1-22−2i2i11-12i−2i-1-2212-22-20000-221-1i−i−2i2i-112i−2i−ii−i−iii0000-2200−2i2i00-112i−2i0000-1100i−i1-100001-1i−i0000−ii000000
χ6422-2-22-1-2212-2-11-2-1-22−2i2i11-12i−2i-1-221-22-220000-221-1i−i−2i2i-112i−2i−ii−i−iii00002-2002i−2i001-1−2i2i00001-100i−i1-10000-11−ii0000i−i000000
χ6522-2-2-12-22-2-112-21-12-22i−2i11-12i−2i21-1-200002i−2i2i−2i-112-22i−2i−ii-11−ii2i−2i−i−iii0000002-2002i−2i00002-2−ii00−ii−ii-1100-110000−ii-1100000000
χ6622-2-2-12-22-2-112-21-12-22i−2i11-12i−2i21-1-20000−2i2i−2i2i-112-22i−2i−ii-11−ii2i−2i−i−iii000000-2200−2i2i0000-22i−i00i−i−ii-11001-10000i−i1-100000000
χ6722-2-2-12-22-2-112-21-12-2−2i2i11-1−2i2i21-1-200002i−2i2i−2i-112-2−2i2ii−i-11i−i−2i2iii−i−i000000-22002i−2i0000-22−ii00−iii−i-11001-10000−ii1-100000000
χ6822-2-2-12-22-2-112-21-12-2−2i2i11-1−2i2i21-1-20000−2i2i−2i2i-112-2−2i2ii−i-11i−i−2i2iii−i−i0000002-200−2i2i00002-2i−i00i−ii−i-1100-110000i−i-1100000000
χ6922-2-2-12-22-2-112-21-1-222i−2i11-1−2i2i21-1-200002i−2i2i−2i1-1-222i−2i−ii-11i−i−2i2iii−i−i0000002-200−2i2i0000-22−ii00−ii−ii1-100-110000i−i1-100000000
χ7022-2-2-12-22-2-112-21-1-222i−2i11-1−2i2i21-1-20000−2i2i−2i2i1-1-222i−2i−ii-11i−i−2i2iii−i−i000000-22002i−2i00002-2i−i00i−i−ii1-1001-10000−ii-1100000000
χ7122-2-2-12-22-2-112-21-1-22−2i2i11-12i−2i21-1-200002i−2i2i−2i1-1-22−2i2ii−i-11−ii2i−2i−i−iii000000-2200−2i2i00002-2−ii00−iii−i1-1001-10000i−i-1100000000
χ7222-2-2-12-22-2-112-21-1-22−2i2i11-12i−2i21-1-20000−2i2i−2i2i1-1-22−2i2ii−i-11−ii2i−2i−i−iii0000002-2002i−2i0000-22i−i00i−ii−i1-100-110000−ii1-100000000
χ7344444-2-4-4-244-2-24-20000-2-2-2002-4-4244-4-40000000000002200000000000000000000-2-20000002200000000000000000000000000
χ7444444-2-4-4-244-2-24-20000-2-2-2002-4-42-4-444000000000000220000000000000000000022000000-2-200000000000000000000000000
χ754444-24-4-44-2-244-2-20000-2-2-200-422-4000044-4-40000000022000000000000000000000000002200-2-2000000000000000000000000
χ764444-24-4-44-2-244-2-20000-2-2-200-422-40000-4-444000000002200000000000000000000000000-2-20022000000000000000000000000
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
χ784444-2-244-2-2-2-2-2-2144-4-4111-4-4-2-2-2-200000000-2-2-2-22222112222-1-1-1-1000000000000000000000000-1-11100000000000000000000
χ794444-2-244-2-2-2-2-2-21-4-444111-4-4-2-2-2-2000000002222-2-2-2-2112222-1-1-1-100000000000000000000000011-1-100000000000000000000
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
χ8144-4-44-24-424-4-22-4-2000022-20024-4-24-4-440000000000002-200000000000000000000-220000002-200000000000000000000000000
χ8244-4-44-24-424-4-22-4-2000022-20024-4-2-444-40000000000002-2000000000000000000002-2000000-2200000000000000000000000000
χ8344-4-4-244-4-4-224-42-2000022-200-4-22400004i−4i−4i4i000000002-2000000000000000000000000002i−2i00−2i2i000000000000000000000000
χ8444-4-4-244-4-4-224-42-2000022-200-4-2240000−4i4i4i−4i000000002-200000000000000000000000000−2i2i002i−2i000000000000000000000000
χ8544-4-4-2-2-442-22-22214-44i−4i-1-114i−4i-22-2200000000-22-22−2i2i−2i2i1-1−2i2i−2i2iii−i−i000000000000000000000000i−i1-100000000000000000000
χ8644-4-4-2-2-442-22-22214-4−4i4i-1-11−4i4i-22-2200000000-22-222i−2i2i−2i1-12i−2i2i−2i−i−iii000000000000000000000000−ii1-100000000000000000000
χ8744-4-4-2-2-442-22-2221-444i−4i-1-11−4i4i-22-22000000002-22-2−2i2i−2i2i1-12i−2i2i−2i−i−iii000000000000000000000000i−i-1100000000000000000000
χ8844-4-4-2-2-442-22-2221-44−4i4i-1-114i−4i-22-22000000002-22-22i−2i2i−2i1-1−2i2i−2i2iii−i−i000000000000000000000000−ii-1100000000000000000000
χ894-44-44400-4-4-4-44440000-44-4000000000000000000000000000000004-44-400000000000000000000000000000000000000000000
χ904-44-44400-4-4-4-44440000-44-400000000000000000000000000000000-44-4400000000000000000000000000000000000000000000
χ914-4-4444004-44-4-4-4400004-4-4000000000000000000000000000000004i−4i−4i4i00000000000000000000000000000000000000000000
χ924-4-4444004-44-4-4-4400004-4-400000000000000000000000000000000−4i4i4i−4i00000000000000000000000000000000000000000000
χ938888-4-4-8-8-4-4-4-4-4-4200002220044440000000000000000-2-200000000000000000000000000000000000000000000000000000000
χ9488-8-8-4-48-84-44-44420000-2-22004-44-40000000000000000-2200000000000000000000000000000000000000000000000000000000
χ958-88-88-4004-8-84-48-400004-4400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ968-88-8-4800-844-88-4-400004-4400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ978-88-8-4-4004444-4-420000-22-200000000000000000000000000003i2−3i23i2−3i2000000000000000000000000000000000000000000000000
χ988-88-8-4-4004444-4-420000-22-20000000000000000000000000000−3i23i2−3i23i2000000000000000000000000000000000000000000000000
χ998-8-888-400-4-8844-8-40000-44400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1008-8-88-480084-4-8-84-40000-44400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-400-44-4444200002-2-2000000000000000000000000000032−32−3232000000000000000000000000000000000000000000000000
χ1028-8-88-4-400-44-4444200002-2-20000000000000000000000000000−323232−32000000000000000000000000000000000000000000000000

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