Finite Group Databasebeta

← Group #11857977

Character table — Group #11857977

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11112222222222444444444444446666666688888888888888888899991212121212121212121212121212121212121212161616161818242424242424242424242424363636363636
order1222334466666634444666881212121222224444121212121212121212122424242424242424444422444444666688881212121212121212226612121212121224242424224488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-111-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-11111-1-111-1-111-1-111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-111-1-111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1111111-1-1-1-111-1-111-1-111-1-1-1-1-1-1
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
χ511111111111111111-1-1111-1-111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-111-1-1
χ611111111111111111-1-1111-1-1111111-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-111
χ711111111111111111-1-1111-1-11111-1-111-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111
χ811111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1111111-1-111-1-1
χ9111111111111111-1-111111-1-1111111111111-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-11111-1-1111111-1-1-1-111-1-1-1-111-1-1-1-1
χ10111111111111111-1-111111-1-1111111-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-111-1-11111
χ11111111111111111-1-111111-1-11111-1-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-1-111-1-1-1-1-1-1111111-1-1-1-11111
χ12111111111111111-1-111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1111111-1-1-1-1
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
χ14111111111111111-1-1-1-111111111111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1
χ15111111111111111-1-1-1-1111111111-1-111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1
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
χ171-11-1111-1-1-1-11-111i−i1-1-1-11i−i11-1-11-11-11-11-1i−i1-1i−i1-11-1ii−i−iii−i−i11-1-11-1i−ii−i1-11-11-1i−ii−i1-11-1i−i1-11-11-1i−ii−i1-1i−ii−i1-1i−ii−i
χ181-11-1111-1-1-1-11-111i−i1-1-1-11i−i11-1-11-1-111-1-11i−i1-1i−i1-11-1ii−i−iii−i−i-1-1111-1i−i−ii-11-111-1i−i−ii1-1-11i−i1-1-111-1−iii−i-11i−i−ii-11−ii−ii
χ191-11-1111-1-1-1-11-111i−i1-1-1-11i−i11-1-1-111-1-111-1i−i1-1i−i1-11-1ii−i−iii−i−i-1-111-11−iii−i1-11-1-11−iii−i-111-1i−i1-1-11-11i−i−ii1-1−iii−i-11−ii−ii
χ201-11-1111-1-1-1-11-111i−i1-1-1-11i−i11-1-1-11-11-11-11i−i1-1i−i1-11-1ii−i−iii−i−i11-1-1-11−ii−ii-11-11-11−ii−ii-11-11i−i1-11-1-11−ii−ii-11−ii−ii1-1i−ii−i
χ211-11-1111-1-1-1-11-111i−i-11-1-11−ii11-1-11-11-11-11-1i−i-11i−i-111-1−i−iii−i−iii11-1-1-11i−ii−i-111-11-1−ii−ii1-11-1i−i-111-1-11i−ii−i-11−ii−ii-11i−i−ii
χ221-11-1111-1-1-1-11-111i−i-11-1-11−ii11-1-11-1-111-1-11i−i-11i−i-111-1−i−iii−i−iii-1-111-11i−i−ii1-1-111-1−iii−i1-1-11i−i-11-11-11−iii−i1-1−iii−i1-1−iii−i
χ231-11-1111-1-1-1-11-111i−i-11-1-11−ii11-1-1-111-1-111-1i−i-11i−i-111-1−i−iii−i−iii-1-1111-1−iii−i-111-1-11i−i−ii-111-1i−i-11-111-1i−i−ii-11i−i−ii1-1−iii−i
χ241-11-1111-1-1-1-11-111i−i-11-1-11−ii11-1-1-11-11-11-11i−i-11i−i-111-1−i−iii−i−iii11-1-11-1−ii−ii1-1-11-11i−ii−i-11-11i−i-111-11-1−ii−ii1-1i−ii−i-11i−i−ii
χ251-11-1111-1-1-1-11-111−ii1-1-1-11−ii11-1-11-11-11-11-1−ii1-1−ii1-11-1−i−iii−i−iii11-1-11-1−ii−ii1-11-11-1−ii−ii1-11-1−ii1-11-11-1−ii−ii1-1−ii−ii1-1−ii−ii
χ261-11-1111-1-1-1-11-111−ii1-1-1-11−ii11-1-11-1-111-1-11−ii1-1−ii1-11-1−i−iii−i−iii-1-1111-1−iii−i-11-111-1−iii−i1-1-11−ii1-1-111-1i−i−ii-11−iii−i-11i−ii−i
χ271-11-1111-1-1-1-11-111−ii1-1-1-11−ii11-1-1-111-1-111-1−ii1-1−ii1-11-1−i−iii−i−iii-1-111-11i−i−ii1-11-1-11i−i−ii-111-1−ii1-1-11-11−iii−i1-1i−i−ii-11i−ii−i
χ281-11-1111-1-1-1-11-111−ii1-1-1-11−ii11-1-1-11-11-11-11−ii1-1−ii1-11-1−i−iii−i−iii11-1-1-11i−ii−i-11-11-11i−ii−i-11-11−ii1-11-1-11i−ii−i-11i−ii−i1-1−ii−ii
χ291-11-1111-1-1-1-11-111−ii-11-1-11i−i11-1-11-11-11-11-1−ii-11−ii-111-1ii−i−iii−i−i11-1-1-11−ii−ii-111-11-1i−ii−i1-11-1−ii-111-1-11−ii−ii-11i−ii−i-11−iii−i
χ301-11-1111-1-1-1-11-111−ii-11-1-11i−i11-1-11-1-111-1-11−ii-11−ii-111-1ii−i−iii−i−i-1-111-11−iii−i1-1-111-1i−i−ii1-1-11−ii-11-11-11i−i−ii1-1i−i−ii1-1i−i−ii
χ311-11-1111-1-1-1-11-111−ii-11-1-11i−i11-1-1-111-1-111-1−ii-11−ii-111-1ii−i−iii−i−i-1-1111-1i−i−ii-111-1-11−iii−i-111-1−ii-11-111-1−iii−i-11−iii−i1-1i−i−ii
χ321-11-1111-1-1-1-11-111−ii-11-1-11i−i11-1-1-11-11-11-11−ii-11−ii-111-1ii−i−iii−i−i11-1-11-1i−ii−i1-1-11-11−ii−ii-11-11−ii-111-11-1i−ii−i1-1−ii−ii-11−iii−i
χ33222222-2-22222222000022200-2-2-2-22222-2-2-2-200000000-2-200000000-2-2-2-20000000022220000-2-2-2-2000022000000000000000000
χ34222222-2-22222222000022200-2-2-2-222-2-2-2-22200000000-2-200000000222200000000-2-2220000-2-2220000-2-2000000000000000000
χ35222222-2-22222222000022200-2-2-2-2-2-22222-2-200000000-2-20000000022220000000022-2-2000022-2-20000-2-2000000000000000000
χ36222222-2-22222222000022200-2-2-2-2-2-2-2-2222200000000-2-200000000-2-2-2-200000000-2-2-2-200002222000022000000000000000000
χ3722222-122-122-1-12-12222-1-1-122-12-122200220022-1-1-1-122-1-12-12-1-1-1-1-100002222000000-1-12200-1-100-1-1-1-100-1-100-1-100-1-100000000
χ3822222-122-122-1-12-12222-1-1-122-12-12-2-200-2-20022-1-1-1-122-1-12-12-1-1-1-1-10000-2-2-2-200000011-2-2001100-1-1-1-100110011001100000000
χ3922222-122-122-1-12-122-2-2-1-1-1-2-2-12-12220022002211-1-1-2-2-1-1-21-2111110000-2-222000000-1-1-2-200-1-100-1-111001100-1-1001100000000
χ4022222-122-122-1-12-122-2-2-1-1-1-2-2-12-12-2-200-2-2002211-1-1-2-2-1-1-21-211111000022-2-20000001122001100-1-11100-1-1001100-1-100000000
χ4122222-122-122-1-12-1-2-222-1-1-1-2-2-12-1222002200-2-2-1-11122-1-1-21-211111000022-2-2000000-1-1-2-200-1-10011-1-100-1-10011001100000000
χ4222222-122-122-1-12-1-2-222-1-1-1-2-2-12-12-2-200-2-200-2-2-1-11122-1-1-21-2111110000-2-222000000112200110011-1-1001100-1-100-1-100000000
χ4322222-122-122-1-12-1-2-2-2-2-1-1-122-12-1222002200-2-21111-2-2-1-12-12-1-1-1-1-10000-2-2-2-2000000-1-12200-1-10011110011001100-1-100000000
χ4422222-122-122-1-12-1-2-2-2-2-1-1-122-12-12-2-200-2-200-2-21111-2-2-1-12-12-1-1-1-1-10000222200000011-2-2001100111100-1-100-1-1001100000000
χ452222-12222-1-122-1-12222-1-1-1222-12-100220022-1-12222-1-1-1-1-12-12-1-1-1-1000000002222-1-100002200-1-1-1-1-1-10000-1-100-1-100-1-1000000
χ462222-12222-1-122-1-12222-1-1-1222-12-100-2-200-2-2-1-12222-1-1-1-1-12-12-1-1-1-100000000-2-2-2-2110000-2-20011-1-1-1-100001100110011000000
χ472222-12222-1-122-1-122-2-2-1-1-1-2-22-12-100220022-1-1-2-22211-1-11-21-211110000000022-2-2-1-10000-2-200-1-1-1-1110000-1-100110011000000
χ482222-12222-1-122-1-122-2-2-1-1-1-2-22-12-100-2-200-2-2-1-1-2-22211-1-11-21-2111100000000-2-222110000220011-1-11100001100-1-100-1-1000000
χ492222-12222-1-122-1-1-2-222-1-1-1-2-22-12-1002200221122-2-2-1-1-1-11-21-2111100000000-2-222-1-10000-2-200-1-111-1-100001100-1-10011000000
χ502222-12222-1-122-1-1-2-222-1-1-1-2-22-12-100-2-200-2-21122-2-2-1-1-1-11-21-211110000000022-2-211000022001111-1-10000-1-1001100-1-1000000
χ512222-12222-1-122-1-1-2-2-2-2-1-1-1222-12-10022002211-2-2-2-211-1-1-12-12-1-1-1-100000000-2-2-2-2-1-100002200-1-11111000011001100-1-1000000
χ522222-12222-1-122-1-1-2-2-2-2-1-1-1222-12-100-2-200-2-211-2-2-2-211-1-1-12-12-1-1-1-1000000002222110000-2-2001111110000-1-100-1-10011000000
χ532-22-222-22-2-2-22-2220000-2-2200-2-2222-22-2-22-2200000000-2200000000-2-222000000002-22-20000-22-2200002-2000000000000000000
χ542-22-222-22-2-2-22-2220000-2-2200-2-2222-2-22-222-200000000-220000000022-2-200000000-222-20000-222-20000-22000000000000000000
χ552-22-222-22-2-2-22-2220000-2-2200-2-222-222-22-2-2200000000-220000000022-2-2000000002-2-2200002-2-220000-22000000000000000000
χ562-22-222-22-2-2-22-2220000-2-2200-2-222-22-222-22-200000000-2200000000-2-22200000000-22-2200002-22-200002-2000000000000000000
χ572-22-22-12-21-2-2-112-12i−2i2-211-12i−2i-121-22-2002-2002i−2i-11−ii2-2-112i−i−2ii−i−iii00002-22i−2i000000-112i−2i00-1100−ii-1100-1100−ii00−ii00000000
χ582-22-22-12-21-2-2-112-12i−2i2-211-12i−2i-121-2-2200-22002i−2i-11−ii2-2-112i−i−2ii−i−iii0000-22−2i2i0000001-1−2i2i001-100−ii-11001-100i−i00i−i00000000
χ592-22-22-12-21-2-2-112-12i−2i-2211-1−2i2i-121-22-2002-2002i−2i1-1−ii-22-11−2ii2i−iii−i−i0000-222i−2i000000-11−2i2i00-1100−ii1-1001-100−ii00i−i00000000
χ602-22-22-12-21-2-2-112-12i−2i-2211-1−2i2i-121-2-2200-22002i−2i1-1−ii-22-11−2ii2i−iii−i−i00002-2−2i2i0000001-12i−2i001-100−ii1-100-1100i−i00−ii00000000
χ612-22-22-12-21-2-2-112-1−2i2i2-211-1−2i2i-121-22-2002-200−2i2i-11i−i2-2-11−2ii2i−iii−i−i00002-2−2i2i000000-11−2i2i00-1100i−i-1100-1100i−i00i−i00000000
χ622-22-22-12-21-2-2-112-1−2i2i2-211-1−2i2i-121-2-2200-2200−2i2i-11i−i2-2-11−2ii2i−iii−i−i0000-222i−2i0000001-12i−2i001-100i−i-11001-100−ii00−ii00000000
χ632-22-22-12-21-2-2-112-1−2i2i-2211-12i−2i-121-22-2002-200−2i2i1-1i−i-22-112i−i−2ii−i−iii0000-22−2i2i000000-112i−2i00-1100i−i1-1001-100i−i00−ii00000000
χ642-22-22-12-21-2-2-112-1−2i2i-2211-12i−2i-121-2-2200-2200−2i2i1-1i−i-22-112i−i−2ii−i−iii00002-22i−2i0000001-1−2i2i001-100i−i1-100-1100−ii00i−i00000000
χ652-22-2-122-2-2112-2-1-12i−2i2-211-12i−2i2-1-21002-2002-2−ii2-22i−2i-11-11−i2ii−2i−i−iii000000002i−2i2-2-1100002i−2i00-11−ii-110000−ii00-1100−ii000000
χ662-22-2-122-2-2112-2-1-12i−2i2-211-12i−2i2-1-2100-2200-22−ii2-22i−2i-11-11−i2ii−2i−i−iii00000000−2i2i-221-10000−2i2i001-1−ii-110000i−i001-100i−i000000
χ672-22-2-122-2-2112-2-1-12i−2i-2211-1−2i2i2-1-21002-2002-2−ii-222i−2i1-1-11i−2i−i2iii−i−i000000002i−2i-22-110000−2i2i00-11−ii1-10000−ii001-100i−i000000
χ682-22-2-122-2-2112-2-1-12i−2i-2211-1−2i2i2-1-2100-2200-22−ii-222i−2i1-1-11i−2i−i2iii−i−i00000000−2i2i2-21-100002i−2i001-1−ii1-10000i−i00-1100−ii000000
χ692-22-2-122-2-2112-2-1-1−2i2i2-211-1−2i2i2-1-21002-2002-2i−i2-2−2i2i-11-11i−2i−i2iii−i−i00000000−2i2i2-2-110000−2i2i00-11i−i-110000i−i00-1100i−i000000
χ702-22-2-122-2-2112-2-1-1−2i2i2-211-1−2i2i2-1-2100-2200-22i−i2-2−2i2i-11-11i−2i−i2iii−i−i000000002i−2i-221-100002i−2i001-1i−i-110000−ii001-100−ii000000
χ712-22-2-122-2-2112-2-1-1−2i2i-2211-12i−2i2-1-21002-2002-2i−i-22−2i2i1-1-11−i2ii−2i−i−iii00000000−2i2i-22-1100002i−2i00-11i−i1-10000i−i001-100−ii000000
χ722-22-2-122-2-2112-2-1-1−2i2i-2211-12i−2i2-1-2100-2200-22i−i-22−2i2i1-1-11−i2ii−2i−i−iii000000002i−2i2-21-10000−2i2i001-1i−i1-10000−ii00-1100i−i000000
χ7344444-2-4-4-244-2-24-20000-2-2-2002-42-44400-4-40000000000220000000000000000000000-2-200002200000000000000000000000000
χ7444444-2-4-4-244-2-24-20000-2-2-2002-42-4-4-400440000000000220000000000000000000000220000-2-200000000000000000000000000
χ754444-24-4-44-2-244-2-20000-2-2-200-42-42004400-4-4000000002200000000000000000000-2-20000000022000000000000000000000000
χ764444-24-4-44-2-244-2-20000-2-2-200-42-4200-4-400440000000022000000000000000000002200000000-2-2000000000000000000000000
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
χ784444-2-244-2-2-2-2-2-2144-4-4111-4-4-2-2-2-200000000-2-222-2-222112222-1-1-1-100000000000000000000000011-1-100000000000000000000
χ794444-2-244-2-2-2-2-2-21-4-444111-4-4-2-2-2-20000000022-2-222-2-2112222-1-1-1-1000000000000000000000000-1-11100000000000000000000
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
χ8144-4-44400-44-4-44-440000-44-4000000000000000000000000000000004i−4i4i−4i00000000000000000000000000000000000000000000
χ8244-4-44400-44-4-44-440000-44-400000000000000000000000000000000−4i4i−4i4i00000000000000000000000000000000000000000000
χ834-44-44-2-442-4-4-224-2000022-2002-4-244-400-4400000000002-20000000000000000000000-2200002-200000000000000000000000000
χ844-44-44-2-442-4-4-224-2000022-2002-4-24-44004-400000000002-200000000000000000000002-20000-2200000000000000000000000000
χ854-44-4-24-44-4224-4-2-2000022-200-424-2004-400-44000000002-200000000000000000000-22000000002-2000000000000000000000000
χ864-44-4-24-44-4224-4-2-2000022-200-424-200-44004-4000000002-2000000000000000000002-200000000-22000000000000000000000000
χ874-44-4-2-24-4222-22-214i−4i4-4-1-114i−4i-2-22200000000−2i2i-22−2i2i-221-1−2i−2i2i2iii−i−i000000000000000000000000i−i1-100000000000000000000
χ884-44-4-2-24-4222-22-214i−4i-44-1-11−4i4i-2-22200000000−2i2i2-2−2i2i2-21-12i2i−2i−2i−i−iii000000000000000000000000i−i-1100000000000000000000
χ894-44-4-2-24-4222-22-21−4i4i4-4-1-11−4i4i-2-222000000002i−2i-222i−2i-221-12i2i−2i−2i−i−iii000000000000000000000000−ii1-100000000000000000000
χ904-44-4-2-24-4222-22-21−4i4i-44-1-114i−4i-2-222000000002i−2i2-22i−2i2-21-1−2i−2i2i2iii−i−i000000000000000000000000−ii-1100000000000000000000
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
χ9488-8-88-40048-84-4-8-400004-4400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9588-8-8-4800-8-44-884-400004-4400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9688-8-8-4-4004-444-4420000-22-200000000000000000000000000003i2−3i23i2−3i2000000000000000000000000000000000000000000000000
χ9788-8-8-4-4004-444-4420000-22-20000000000000000000000000000−3i23i2−3i23i2000000000000000000000000000000000000000000000000
χ988-88-8-4-4-88444-44-420000-2-220044-4-40000000000000000-2200000000000000000000000000000000000000000000000000000000
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).