Finite Group Databasebeta

← Group #11922020

Character table — Group #11922020

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111122222233334466666666668888121212121212121212121616161616161616161618181818181818181818181824242424242424243636363648484848
order122234466622221212224444666636662244444412123666121212121212224444444444661212121212124444661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ31111111111111111-1-111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ511111-1-11111111-1-111-1-1-1-11111111111-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1
χ611111-1-11111111-1-111-1-1-1-111111111-1-111-1-111-1-11111-1-1-1-1-1-111-1-111111111-1-111-1-111-1-1-1-111-1-1
χ711111-1-11111111-1-1-1-1-1-1111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-111
χ811111-1-11111111-1-1-1-1-1-11111111111-1-111-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111
χ91-11-11i−i1-1-1-111-1i−i1-1i−ii−i1-11-111-1-11-1i−i1-1i−ii−i11-1-1i−iii−i−i1-1i−iii−i−iii−i−i1-1i−i1-1i−i1-11-11-1i−i
χ101-11-11i−i1-1-1-111-1i−i1-1i−ii−i1-11-111-1-1-11−ii-11−iii−i11-1-1i−iii−i−i1-1i−i−i−iii−i−iii-11−ii-11−ii-11-111-1i−i
χ111-11-11i−i1-1-1-111-1i−i-11i−i−ii1-11-111-1-11-1i−i1-1i−ii−i11-1-1i−iii−i−i-11−ii−i−iii−i−iii1-1i−i1-1i−i-11-11-11−ii
χ121-11-11i−i1-1-1-111-1i−i-11i−i−ii1-11-111-1-1-11−ii-11−iii−i11-1-1i−iii−i−i-11−iiii−i−iii−i−i-11−ii-11−ii1-11-1-11−ii
χ131-11-11−ii1-1-1-111-1−ii1-1−ii−ii1-11-111-1-11-1−ii1-1−ii−ii11-1-1−ii−i−iii1-1−ii−i−iii−i−iii1-1−ii1-1−ii1-11-11-1−ii
χ141-11-11−ii1-1-1-111-1−ii1-1−ii−ii1-11-111-1-1-11i−i-11i−i−ii11-1-1−ii−i−iii1-1−iiii−i−iii−i−i-11i−i-11i−i-11-111-1−ii
χ151-11-11−ii1-1-1-111-1−ii-11−iii−i1-11-111-1-11-1−ii1-1−ii−ii11-1-1−ii−i−iii-11i−iii−i−iii−i−i1-1−ii1-1−ii-11-11-11i−i
χ161-11-11−ii1-1-1-111-1−ii-11−iii−i1-11-111-1-1-11i−i-11i−i−ii11-1-1−ii−i−iii-11i−i−i−iii−i−iii-11i−i-11i−i1-11-1-11i−i
χ1722222222222222222222222222-1-1-1-10000000022-1-1-1-1-1-1-1-1-1-1222200000000000000000000-1-1-1-1
χ182222222222222222-2-222-2-22222-1-1-1-10000000022-1-1-1-1-1-1-1-1-1-1-2-2-2-2000000000000000000001111
χ1922222-2-22222222-2-222-2-2-2-22222-1-1-1-100000000-2-2-1-1-1-111111122-2-200000000000000000000-1-111
χ2022222-2-22222222-2-2-2-2-2-2222222-1-1-1-100000000-2-2-1-1-1-1111111-2-2220000000000000000000011-1-1
χ212222-122-1-1-12222-1-1002200-1-1-1-1222222222222-1-1-1-1-1-122-1-1-1-1000000000000-1-1-1-1-1-1-1-100000000
χ222222-122-1-1-12222-1-1002200-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-122-1-1-1-10000000000001111111100000000
χ232222-1-2-2-1-1-122221100-2-200-1-1-1-1222222-2-222-2-211-1-1-1-1-2-21111000000000000-1-111-1-11100000000
χ242222-1-2-2-1-1-122221100-2-200-1-1-1-12222-2-222-2-22211-1-1-1-1-2-2111100000000000011-1-111-1-100000000
χ2522-2-2200-22-222-2-200000000-222-22-22-200000000002-2-2200000000002i−2i2i−2i2i−2i2i−2i0000000000000000
χ2622-2-2200-22-222-2-200000000-222-22-22-200000000002-2-220000000000−2i2i−2i2i−2i2i−2i2i0000000000000000
χ272-22-222i−2i2-2-2-222-22i−2i2-22i−2i2i−2i2-22-2-1-111000000002i−2i-1-111−ii−i−iii2-22i−2i00000000000000000000-11−ii
χ282-22-222i−2i2-2-2-222-22i−2i-222i−2i−2i2i2-22-2-1-111000000002i−2i-1-111−ii−i−iii-22−2i2i000000000000000000001-1i−i
χ292-22-22−2i2i2-2-2-222-2−2i2i2-2−2i2i−2i2i2-22-2-1-11100000000−2i2i-1-111i−iii−i−i2-2−2i2i00000000000000000000-11i−i
χ302-22-22−2i2i2-2-2-222-2−2i2i-22−2i2i2i−2i2-22-2-1-11100000000−2i2i-1-111i−iii−i−i-222i−2i000000000000000000001-1−ii
χ312-22-2-12i−2i-111-222-2−ii002i−2i00-11-1122-2-22-22i−2i2-22i−2i−ii-1-1112i−2i−i−iii000000000000-11−ii-11−ii00000000
χ322-22-2-12i−2i-111-222-2−ii002i−2i00-11-1122-2-2-22−2i2i-22−2i2i−ii-1-1112i−2i−i−iii0000000000001-1i−i1-1i−i00000000
χ332-22-2-1−2i2i-111-222-2i−i00−2i2i00-11-1122-2-22-2−2i2i2-2−2i2ii−i-1-111−2i2iii−i−i000000000000-11i−i-11i−i00000000
χ342-22-2-1−2i2i-111-222-2i−i00−2i2i00-11-1122-2-2-222i−2i-222i−2ii−i-1-111−2i2iii−i−i0000000000001-1−ii1-1−ii00000000
χ352-2-22200-2-22-22-2200000000-2-2222-2-2200000000002-22-200000000002-2-222-2-220000000000000000
χ362-2-22200-2-22-22-2200000000-2-2222-2-2200000000002-22-20000000000-222-2-222-20000000000000000
χ373333333333-1-1-1-13333-1-133-1-1-1-100001111-1-1-1-1-1-10000000000-1-1-1-11111-1-1-1-11111-1-1-1-111-1-10000
χ383333333333-1-1-1-13333-1-133-1-1-1-10000-1-1-1-11111-1-10000000000-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1110000
χ393333333333-1-1-1-133-3-3-1-1-3-3-1-1-1-100001111-1-1-1-1-1-100000000001111-1-1-1-111111111-1-1-1-1-1-1110000
χ403333333333-1-1-1-133-3-3-1-1-3-3-1-1-1-10000-1-1-1-11111-1-1000000000011111111-1-1-1-1-1-1-1-1111111-1-10000
χ4133333-3-3333-1-1-1-1-3-33311-3-3-1-1-1-1000011-1-1-1-111110000000000-1-111-1-1-1-1111111-1-1-1-11111-1-10000
χ4233333-3-3333-1-1-1-1-3-33311-3-3-1-1-1-10000-1-11111-1-1110000000000-1-1111111-1-1-1-1-1-11111-1-1-1-1110000
χ4333333-3-3333-1-1-1-1-3-3-3-31133-1-1-1-1000011-1-1-1-11111000000000011-1-11111-1-1-1-111-1-1-1-111-1-1110000
χ4433333-3-3333-1-1-1-1-3-3-3-31133-1-1-1-10000-1-11111-1-111000000000011-1-1-1-1-1-11111-1-11111-1-111-1-10000
χ453-33-333i−3i3-3-31-1-113i−3i3-3−ii3i−3i-11-1100001-1i−i-11−ii−ii0000000000-11−iiii−i−i−i−iii1-1i−i-11−ii1-1-110000
χ463-33-333i−3i3-3-31-1-113i−3i3-3−ii3i−3i-11-110000-11−ii1-1i−i−ii0000000000-11−ii−i−iiiii−i−i-11−ii1-1i−i-111-10000
χ473-33-333i−3i3-3-31-1-113i−3i-33−ii−3i3i-11-1100001-1i−i-11−ii−ii00000000001-1i−i−i−iiiii−i−i1-1i−i-11−ii-111-10000
χ483-33-333i−3i3-3-31-1-113i−3i-33−ii−3i3i-11-110000-11−ii1-1i−i−ii00000000001-1i−iii−i−i−i−iii-11−ii1-1i−i1-1-110000
χ493-33-33−3i3i3-3-31-1-11−3i3i3-3i−i−3i3i-11-1100001-1−ii-11i−ii−i0000000000-11i−i−i−iiiii−i−i1-1−ii-11i−i1-1-110000
χ503-33-33−3i3i3-3-31-1-11−3i3i3-3i−i−3i3i-11-110000-11i−i1-1−iii−i0000000000-11i−iii−i−i−i−iii-11i−i1-1−ii-111-10000
χ513-33-33−3i3i3-3-31-1-11−3i3i-33i−i3i−3i-11-1100001-1−ii-11i−ii−i00000000001-1−iiii−i−i−i−iii1-1−ii-11i−i-111-10000
χ523-33-33−3i3i3-3-31-1-11−3i3i-33i−i3i−3i-11-110000-11i−i1-1−iii−i00000000001-1−ii−i−iiiii−i−i-11i−i1-1−ii1-1-110000
χ534444-244-2-2-24444-2-2004400-2-2-2-2-2-2-2-200000000-2-21111-2-211110000000000000000000000000000
χ544444-2-4-4-2-2-244442200-4-400-2-2-2-2-2-2-2-20000000022111122-1-1-1-10000000000000000000000000000
χ5544-4-4400-44-444-4-400000000-444-4-22-220000000000-222-20000000000000000000000000000000000
χ5644-4-4-2002-2244-4-4000000002-2-224-44-40000000000-222-20000000000000000000000000000000000
χ5744-4-4-2002-2244-4-4000000002-2-22-22-2200000000001-1-11003-33-30000000000000000000000000000
χ5844-4-4-2002-2244-4-4000000002-2-22-22-2200000000001-1-1100-33-330000000000000000000000000000
χ594-44-4-24i−4i-222-444-4−2i2i004i−4i00-22-22-2-22200000000−2i2i11-1-1−2i2iii−i−i0000000000000000000000000000
χ604-44-4-2−4i4i-222-444-42i−2i00−4i4i00-22-22-2-222000000002i−2i11-1-12i−2i−i−iii0000000000000000000000000000
χ614-4-44400-4-44-44-4400000000-4-444-222-20000000000-22-220000000000000000000000000000000000
χ624-4-44-20022-2-44-440000000022-2-24-4-440000000000-22-220000000000000000000000000000000000
χ634-4-44-20022-2-44-440000000022-2-2-222-200000000001-11-1003i−3i−3i3i0000000000000000000000000000
χ644-4-44-20022-2-44-440000000022-2-2-222-200000000001-11-100−3i3i3i−3i0000000000000000000000000000
χ656666-366-3-3-3-2-2-2-2-3-300-2-200111100002222-2-2-2-2110000000000000000000000-1-1-1-1111100000000
χ666666-366-3-3-3-2-2-2-2-3-300-2-20011110000-2-2-2-222221100000000000000000000001111-1-1-1-100000000
χ676666-3-6-6-3-3-3-2-2-2-2330022001111000022-2-2-2-222-1-10000000000000000000000-1-11111-1-100000000
χ686666-3-6-6-3-3-3-2-2-2-23300220011110000-2-22222-2-2-1-1000000000000000000000011-1-1-1-11100000000
χ6966-6-6600-66-6-2-222000000002-2-2200000000000000000000000000002i−2i2i−2i−2i2i−2i2i0000000000000000
χ7066-6-6600-66-6-2-222000000002-2-220000000000000000000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000
χ716-66-6-36i−6i-3332-2-22−3i3i00−2i2i001-11-100002-22i−2i-22−2i2ii−i0000000000000000000000-11−ii1-1i−i00000000
χ726-66-6-36i−6i-3332-2-22−3i3i00−2i2i001-11-10000-22−2i2i2-22i−2ii−i00000000000000000000001-1i−i-11−ii00000000
χ736-66-6-3−6i6i-3332-2-223i−3i002i−2i001-11-100002-2−2i2i-222i−2i−ii0000000000000000000000-11i−i1-1−ii00000000
χ746-66-6-3−6i6i-3332-2-223i−3i002i−2i001-11-10000-222i−2i2-2−2i2i−ii00000000000000000000001-1−ii-11i−i00000000
χ756-6-66600-6-662-22-20000000022-2-200000000000000000000000000002-2-22-222-20000000000000000
χ766-6-66600-6-662-22-20000000022-2-20000000000000000000000000000-222-22-2-220000000000000000
χ771212-12-12-6006-66-4-44400000000-222-20000000000000000000000000000000000000000000000000000
χ7812-12-1212-60066-64-44-400000000-2-2220000000000000000000000000000000000000000000000000000

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