Finite Group Databasebeta

← Group #11922145

Character table — Group #11922145

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222233336666668888121212121212121216161616181818181818242424242424363611112222333366666688881212121212121212161616161818181818182424242424243636
order122236664444448888366644121224242424366644888812121212121222222266664444448888666644121224242424666644888812121212121222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-111111111111111-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-1
χ311111111-1-1-1-11111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1
χ411111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-11111-1-11111-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-11111-1-11111-1-1-1-1-1-111
χ511-1-11-11-1ii−i−i-11ii−i−i11-1-1i−i1-1ii−i−i11-1-1i−i11-1-1i−iii−i−i1-111-1-11-11-1ii−i−i-11ii−i−i11-1-1i−i1-1ii−i−i11-1-1i−i11-1-1i−iii−i−i1-1
χ611-1-11-11-1ii−i−i-11−i−iii11-1-1−ii1-1−i−iii11-1-1i−i-1-111−iiii−i−i-1111-1-11-11-1ii−i−i-11−i−iii11-1-1−ii1-1−i−iii11-1-1i−i-1-111−iiii−i−i-11
χ711-1-11-11-1−i−iii-11ii−i−i11-1-1i−i1-1ii−i−i11-1-1−ii-1-111i−i−i−iii-1111-1-11-11-1−i−iii-11ii−i−i11-1-1i−i1-1ii−i−i11-1-1−ii-1-111i−i−i−iii-11
χ811-1-11-11-1−i−iii-11−i−iii11-1-1−ii1-1−i−iii11-1-1−ii11-1-1−ii−i−iii1-111-1-11-11-1−i−iii-11−i−iii11-1-1−ii1-1−i−iii11-1-1−ii11-1-1−ii−i−iii1-1
χ9222222222222220000-1-1-1-100220000-1-1-1-122000000-1-1-1-100222222222222220000-1-1-1-100220000-1-1-1-122000000-1-1-1-100
χ1022222222-2-2-2-2220000-1-1-1-100220000-1-1-1-1-2-200000011110022222222-2-2-2-2220000-1-1-1-100220000-1-1-1-1-2-2000000111100
χ112222-1-1-1-10000222222222222-1-1-1-1-1-1-1-1-1-1000000-1-10000002222-1-1-1-10000222222222222-1-1-1-1-1-1-1-1-1-1000000-1-1000000
χ122222-1-1-1-1000022-2-2-2-22222-2-2-1-11111-1-1-1-1000000110000002222-1-1-1-1000022-2-2-2-22222-2-2-1-11111-1-1-1-100000011000000
χ1322-2-22-22-22i2i−2i−2i-220000-1-111002-20000-1-1112i−2i000000−i−iii0022-2-22-22-22i2i−2i−2i-220000-1-111002-20000-1-1112i−2i000000−i−iii00
χ1422-2-22-22-2−2i−2i2i2i-220000-1-111002-20000-1-111−2i2i000000ii−i−i0022-2-22-22-2−2i−2i2i2i-220000-1-111002-20000-1-111−2i2i000000ii−i−i00
χ1522-2-2-11-110000-222i2i−2i−2i22-2-22i−2i-11−i−iii-1-111000000−ii00000022-2-2-11-110000-222i2i−2i−2i22-2-22i−2i-11−i−iii-1-111000000−ii000000
χ1622-2-2-11-110000-22−2i−2i2i2i22-2-2−2i2i-11ii−i−i-1-111000000i−i00000022-2-2-11-110000-22−2i−2i2i2i22-2-2−2i2i-11ii−i−i-1-111000000i−i000000
χ172-22-222-2-22i−2i2i−2i002−22−2-11-1100002−22−2-111-100i2−i2i2−i200i−ii−i002-22-222-2-22i−2i2i−2i002−22−2-11-1100002−22−2-111-100i2−i2i2−i200i−ii−i00
χ182-22-222-2-22i−2i2i−2i00−22−22-11-110000−22−22-111-100−i2i2−i2i200i−ii−i002-22-222-2-22i−2i2i−2i00−22−22-11-110000−22−22-111-100−i2i2−i2i200i−ii−i00
χ192-22-222-2-2−2i2i−2i2i002−22−2-11-1100002−22−2-111-100−i2i2−i2i200−ii−ii002-22-222-2-2−2i2i−2i2i002−22−2-11-1100002−22−2-111-100−i2i2−i2i200−ii−ii00
χ202-22-222-2-2−2i2i−2i2i00−22−22-11-110000−22−22-111-100i2−i2i2−i200−ii−ii002-22-222-2-2−2i2i−2i2i00−22−22-11-110000−22−22-111-100i2−i2i2−i200−ii−ii00
χ212-2-222-2-222-2-2200i2−i2−i2i2-111-10000i2−i2−i2i2-11-1100−i2i2i2−i2001-1-11002-2-222-2-222-2-2200i2−i2−i2i2-111-10000i2−i2−i2i2-11-1100−i2i2i2−i2001-1-1100
χ222-2-222-2-222-2-2200−i2i2i2−i2-111-10000−i2i2i2−i2-11-1100i2−i2−i2i2001-1-11002-2-222-2-222-2-2200−i2i2i2−i2-111-10000−i2i2i2−i2-11-1100i2−i2−i2i2001-1-1100
χ232-2-222-2-22-222-200i2−i2−i2i2-111-10000i2−i2−i2i2-11-1100i2−i2−i2i200-111-1002-2-222-2-22-222-200i2−i2−i2i2-111-10000i2−i2−i2i2-11-1100i2−i2−i2i200-111-100
χ242-2-222-2-22-222-200−i2i2i2−i2-111-10000−i2i2i2−i2-11-1100−i2i2i2−i200-111-1002-2-222-2-22-222-200−i2i2i2−i2-111-10000−i2i2i2−i2-11-1100−i2i2i2−i200-111-100
χ25333333333333-1-111110000-1-1-1-111110000-1-11111-1-10000-1-1333333333333-1-111110000-1-1-1-111110000-1-11111-1-10000-1-1
χ26333333333333-1-1-1-1-1-1000011-1-1-1-1-1-10000-1-1-1-1-1-111000011333333333333-1-1-1-1-1-1000011-1-1-1-1-1-10000-1-1-1-1-1-111000011
χ2733333333-3-3-3-3-1-111110000-1-1-1-11111000011-1-1-1-1-1-100001133333333-3-3-3-3-1-111110000-1-1-1-11111000011-1-1-1-1-1-1000011
χ2833333333-3-3-3-3-1-1-1-1-1-1000011-1-1-1-1-1-10000111111110000-1-133333333-3-3-3-3-1-1-1-1-1-1000011-1-1-1-1-1-10000111111110000-1-1
χ2933-3-33-33-33i3i−3i−3i1-1ii−i−i0000−ii-11ii−i−i0000−ii11-1-1−ii0000-1133-3-33-33-33i3i−3i−3i1-1ii−i−i0000−ii-11ii−i−i0000−ii11-1-1−ii0000-11
χ3033-3-33-33-33i3i−3i−3i1-1−i−iii0000i−i-11−i−iii0000−ii-1-111i−i00001-133-3-33-33-33i3i−3i−3i1-1−i−iii0000i−i-11−i−iii0000−ii-1-111i−i00001-1
χ3133-3-33-33-3−3i−3i3i3i1-1ii−i−i0000−ii-11ii−i−i0000i−i-1-111−ii00001-133-3-33-33-3−3i−3i3i3i1-1ii−i−i0000−ii-11ii−i−i0000i−i-1-111−ii00001-1
χ3233-3-33-33-3−3i−3i3i3i1-1−i−iii0000i−i-11−i−iii0000i−i11-1-1i−i0000-1133-3-33-33-3−3i−3i3i3i1-1−i−iii0000i−i-11−i−iii0000i−i11-1-1i−i0000-11
χ334444-2-2-2-20000440000-2-2-2-200-2-200001111000000000000004444-2-2-2-20000440000-2-2-2-200-2-20000111100000000000000
χ3444-4-4-22-220000-440000-2-22200-22000011-1-10000000000000044-4-4-22-220000-440000-2-22200-22000011-1-100000000000000
χ354-44-444-4-44i−4i4i−4i0000001-11-1000000001-1-1100000000−ii−ii004-44-444-4-44i−4i4i−4i0000001-11-1000000001-1-1100000000−ii−ii00
χ364-44-444-4-4−4i4i−4i4i0000001-11-1000000001-1-1100000000i−ii−i004-44-444-4-4−4i4i−4i4i0000001-11-1000000001-1-1100000000i−ii−i00
χ374-44-4-2-22200000022−2222−22-22-220000−22−221-1-11000000000000004-44-4-2-22200000022−2222−22-22-220000−22−221-1-1100000000000000
χ384-44-4-2-222000000−2222−2222-22-2200002−22−21-1-11000000000000004-44-4-2-222000000−2222−2222-22-2200002−22−21-1-1100000000000000
χ394-4-444-4-444-4-440000001-1-11000000001-11-100000000-111-1004-4-444-4-444-4-440000001-1-11000000001-11-100000000-111-100
χ404-4-444-4-44-444-40000001-1-11000000001-11-1000000001-1-11004-4-444-4-44-444-40000001-1-11000000001-11-1000000001-1-1100
χ414-4-44-222-20000002i2−2i2−2i22i2-222-20000−i2i2i2−i21-11-1000000000000004-4-44-222-20000002i2−2i2−2i22i2-222-20000−i2i2i2−i21-11-100000000000000
χ424-4-44-222-2000000−2i22i22i2−2i2-222-20000i2−i2−i2i21-11-1000000000000004-4-44-222-2000000−2i22i22i2−2i2-222-20000i2−i2−i2i21-11-100000000000000
χ436666-3-3-3-30000-2-222220000-2-211-1-1-1-10000000000110000006666-3-3-3-30000-2-222220000-2-211-1-1-1-1000000000011000000
χ446666-3-3-3-30000-2-2-2-2-2-20000221111110000000000-1-10000006666-3-3-3-30000-2-2-2-2-2-20000221111110000000000-1-1000000
χ4566-6-6-33-3300002-22i2i−2i−2i0000−2i2i1-1−i−iii0000000000i−i00000066-6-6-33-3300002-22i2i−2i−2i0000−2i2i1-1−i−iii0000000000i−i000000
χ4666-6-6-33-3300002-2−2i−2i2i2i00002i−2i1-1ii−i−i0000000000−ii00000066-6-6-33-3300002-2−2i−2i2i2i00002i−2i1-1ii−i−i0000000000−ii000000
χ478-88-8-4-44400000000002-22-200000000-111-1000000000000008-88-8-4-44400000000002-22-200000000-111-100000000000000
χ488-8-88-444-400000000002-2-2200000000-11-11000000000000008-8-88-444-400000000002-2-2200000000-11-1100000000000000
χ49111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ5011111111111111-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-111
χ5111111111-1-1-1-11111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111
χ5211111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1-1-1111111-1-1
χ5311-1-11-11-1ii−i−i-11ii−i−i11-1-1i−i1-1ii−i−i11-1-1i−i11-1-1i−iii−i−i1-1-1-111-11-11−i−iii1-1−i−iii-1-111−ii-11−i−iii-1-111−ii-1-111−ii−i−iii-11
χ5411-1-11-11-1ii−i−i-11−i−iii11-1-1−ii1-1−i−iii11-1-1i−i-1-111−iiii−i−i-11-1-111-11-11−i−iii1-1ii−i−i-1-111i−i-11ii−i−i-1-111−ii11-1-1i−i−i−iii1-1
χ5511-1-11-11-1−i−iii-11ii−i−i11-1-1i−i1-1ii−i−i11-1-1−ii-1-111i−i−i−iii-11-1-111-11-11ii−i−i1-1−i−iii-1-111−ii-11−i−iii-1-111i−i11-1-1−iiii−i−i1-1
χ5611-1-11-11-1−i−iii-11−i−iii11-1-1−ii1-1−i−iii11-1-1−ii11-1-1−ii−i−iii1-1-1-111-11-11ii−i−i1-1ii−i−i-1-111i−i-11ii−i−i-1-111i−i-1-111i−iii−i−i-11
χ57222222222222220000-1-1-1-100220000-1-1-1-122000000-1-1-1-100-2-2-2-2-2-2-2-2-2-2-2-2-2-20000111100-2-200001111-2-2000000111100
χ5822222222-2-2-2-2220000-1-1-1-100220000-1-1-1-1-2-2000000111100-2-2-2-2-2-2-2-22222-2-20000111100-2-20000111122000000-1-1-1-100
χ592222-1-1-1-10000222222222222-1-1-1-1-1-1-1-1-1-1000000-1-1000000-2-2-2-211110000-2-2-2-2-2-2-2-2-2-2-2-2111111111100000011000000
χ602222-1-1-1-1000022-2-2-2-22222-2-2-1-11111-1-1-1-100000011000000-2-2-2-211110000-2-22222-2-2-2-22211-1-1-1-11111000000-1-1000000
χ6122-2-22-22-22i2i−2i−2i-220000-1-111002-20000-1-1112i−2i000000−i−iii00-2-222-22-22−2i−2i2i2i2-2000011-1-100-22000011-1-1−2i2i000000ii−i−i00
χ6222-2-22-22-2−2i−2i2i2i-220000-1-111002-20000-1-111−2i2i000000ii−i−i00-2-222-22-222i2i−2i−2i2-2000011-1-100-22000011-1-12i−2i000000−i−iii00
χ6322-2-2-11-110000-222i2i−2i−2i22-2-22i−2i-11−i−iii-1-111000000−ii000000-2-2221-11-100002-2−2i−2i2i2i-2-222−2i2i1-1ii−i−i11-1-1000000i−i000000
χ6422-2-2-11-110000-22−2i−2i2i2i22-2-2−2i2i-11ii−i−i-1-111000000i−i000000-2-2221-11-100002-22i2i−2i−2i-2-2222i−2i1-1−i−iii11-1-1000000−ii000000
χ652-22-222-2-22i−2i2i−2i002−22−2-11-1100002−22−2-111-100i2−i2i2−i200i−ii−i00-22-22-2-222−2i2i−2i2i00−22−221-11-10000−22−221-1-1100−i2i2−i2i200−ii−ii00
χ662-22-222-2-22i−2i2i−2i00−22−22-11-110000−22−22-111-100−i2i2−i2i200i−ii−i00-22-22-2-222−2i2i−2i2i002−22−21-11-100002−22−21-1-1100i2−i2i2−i200−ii−ii00
χ672-22-222-2-2−2i2i−2i2i002−22−2-11-1100002−22−2-111-100−i2i2−i2i200−ii−ii00-22-22-2-2222i−2i2i−2i00−22−221-11-10000−22−221-1-1100i2−i2i2−i200i−ii−i00
χ682-22-222-2-2−2i2i−2i2i00−22−22-11-110000−22−22-111-100i2−i2i2−i200−ii−ii00-22-22-2-2222i−2i2i−2i002−22−21-11-100002−22−21-1-1100−i2i2−i2i200i−ii−i00
χ692-2-222-2-222-2-2200i2−i2−i2i2-111-10000i2−i2−i2i2-11-1100−i2i2i2−i2001-1-1100-222-2-222-2-222-200−i2i2i2−i21-1-110000−i2i2i2−i21-11-100i2−i2−i2i200-111-100
χ702-2-222-2-222-2-2200−i2i2i2−i2-111-10000−i2i2i2−i2-11-1100i2−i2−i2i2001-1-1100-222-2-222-2-222-200i2−i2−i2i21-1-110000i2−i2−i2i21-11-100−i2i2i2−i200-111-100
χ712-2-222-2-22-222-200i2−i2−i2i2-111-10000i2−i2−i2i2-11-1100i2−i2−i2i200-111-100-222-2-222-22-2-2200−i2i2i2−i21-1-110000−i2i2i2−i21-11-100−i2i2i2−i2001-1-1100
χ722-2-222-2-22-222-200−i2i2i2−i2-111-10000−i2i2i2−i2-11-1100−i2i2i2−i200-111-100-222-2-222-22-2-2200i2−i2−i2i21-1-110000i2−i2−i2i21-11-100i2−i2−i2i2001-1-1100
χ73333333333333-1-111110000-1-1-1-111110000-1-11111-1-10000-1-1-3-3-3-3-3-3-3-3-3-3-3-311-1-1-1-100001111-1-1-1-1000011-1-1-1-111000011
χ74333333333333-1-1-1-1-1-1000011-1-1-1-1-1-10000-1-1-1-1-1-111000011-3-3-3-3-3-3-3-3-3-3-3-31111110000-1-11111110000111111-1-10000-1-1
χ7533333333-3-3-3-3-1-111110000-1-1-1-11111000011-1-1-1-1-1-1000011-3-3-3-3-3-3-3-3333311-1-1-1-100001111-1-1-1-10000-1-11111110000-1-1
χ7633333333-3-3-3-3-1-1-1-1-1-1000011-1-1-1-1-1-10000111111110000-1-1-3-3-3-3-3-3-3-333331111110000-1-11111110000-1-1-1-1-1-1-1-1000011
χ7733-3-33-33-33i3i−3i−3i1-1ii−i−i0000−ii-11ii−i−i0000−ii11-1-1−ii0000-11-3-333-33-33−3i−3i3i3i-11−i−iii0000i−i1-1−i−iii0000i−i-1-111i−i00001-1
χ7833-3-33-33-33i3i−3i−3i1-1−i−iii0000i−i-11−i−iii0000−ii-1-111i−i00001-1-3-333-33-33−3i−3i3i3i-11ii−i−i0000−ii1-1ii−i−i0000i−i11-1-1−ii0000-11
χ7933-3-33-33-3−3i−3i3i3i1-1ii−i−i0000−ii-11ii−i−i0000i−i-1-111−ii00001-1-3-333-33-333i3i−3i−3i-11−i−iii0000i−i1-1−i−iii0000−ii11-1-1i−i0000-11
χ8033-3-33-33-3−3i−3i3i3i1-1−i−iii0000i−i-11−i−iii0000i−i11-1-1i−i0000-11-3-333-33-333i3i−3i−3i-11ii−i−i0000−ii1-1ii−i−i0000−ii-1-111−ii00001-1
χ814444-2-2-2-20000440000-2-2-2-200-2-20000111100000000000000-4-4-4-422220000-4-40000222200220000-1-1-1-100000000000000
χ8244-4-4-22-220000-440000-2-22200-22000011-1-100000000000000-4-4442-22-200004-4000022-2-2002-20000-1-11100000000000000
χ834-44-444-4-44i−4i4i−4i0000001-11-1000000001-1-1100000000−ii−ii00-44-44-4-444−4i4i−4i4i000000-11-1100000000-111-100000000i−ii−i00
χ844-44-444-4-4−4i4i−4i4i0000001-11-1000000001-1-1100000000i−ii−i00-44-44-4-4444i−4i4i−4i000000-11-1100000000-111-100000000−ii−ii00
χ854-44-4-2-22200000022−2222−22-22-220000−22−221-1-1100000000000000-44-4422-2-2000000−2222−22222-22-200002−22−2-111-100000000000000
χ864-44-4-2-222000000−2222−2222-22-2200002−22−21-1-1100000000000000-44-4422-2-200000022−2222−222-22-20000−22−22-111-100000000000000
χ874-4-444-4-444-4-440000001-1-11000000001-11-100000000-111-100-444-4-444-4-444-4000000-111-100000000-11-11000000001-1-1100
χ884-4-444-4-44-444-40000001-1-11000000001-11-1000000001-1-1100-444-4-444-44-4-44000000-111-100000000-11-1100000000-111-100
χ894-4-44-222-20000002i2−2i2−2i22i2-222-20000−i2i2i2−i21-11-100000000000000-444-42-2-22000000−2i22i22i2−2i22-2-220000i2−i2−i2i2-11-1100000000000000
χ904-4-44-222-2000000−2i22i22i2−2i2-222-20000i2−i2−i2i21-11-100000000000000-444-42-2-220000002i2−2i2−2i22i22-2-220000−i2i2i2−i2-11-1100000000000000
χ916666-3-3-3-30000-2-222220000-2-211-1-1-1-1000000000011000000-6-6-6-63333000022-2-2-2-2000022-1-111110000000000-1-1000000
χ926666-3-3-3-30000-2-2-2-2-2-20000221111110000000000-1-1000000-6-6-6-6333300002222220000-2-2-1-1-1-1-1-1000000000011000000
χ9366-6-6-33-3300002-22i2i−2i−2i0000−2i2i1-1−i−iii0000000000i−i000000-6-6663-33-30000-22−2i−2i2i2i00002i−2i-11ii−i−i0000000000−ii000000
χ9466-6-6-33-3300002-2−2i−2i2i2i00002i−2i1-1ii−i−i0000000000−ii000000-6-6663-33-30000-222i2i−2i−2i0000−2i2i-11−i−iii0000000000i−i000000
χ958-88-8-4-44400000000002-22-200000000-111-100000000000000-88-8844-4-40000000000-22-22000000001-1-1100000000000000
χ968-8-88-444-400000000002-2-2200000000-11-1100000000000000-888-84-4-440000000000-222-2000000001-11-100000000000000

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