Finite Group Databasebeta

← Group #11921953

Character table — Group #11921953

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111122222233334466666666668888121212121212121212121616161616161616161618181818181818181818181824242424242424243636363648484848
order1222344666222212124444446666366644444444121236661212121212124444444444441212121212121212444412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ3111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ511111-1-11111111-1-1-1-111-1-11111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-111
χ611111-1-11111111-1-1-1-111-1-111111111-1-111-1-111-1-11111-1-1-1-1-1-1111111-1-1111111-1-1-1-111-1-1-1-1-1-111
χ711111-1-11111111-1-1-1-1-1-1111111111111-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1111111-1-11111-1-1-1-1-1-111-1-1
χ811111-1-11111111-1-1-1-1-1-11111111111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1
χ91-1-111i−i-11-11-1-11i−ii−ii−i1-11-11-11-11-1i−i1-1i−i1-1i−i11-1-1i−iii−i−iii−i−ii−i1-1ii−i−i1-1i−ii−i1-11-11-11-1i−i
χ101-1-111i−i-11-11-1-11i−ii−ii−i1-11-11-11-11-1−ii-11−ii-11i−i11-1-1i−iii−i−i−i−iiii−i1-1−i−iii-11−ii−ii-11-11-111-1i−i
χ111-1-111i−i-11-11-1-11i−ii−i−ii-111-11-11-11-1i−i1-1i−i1-1i−i11-1-1i−iii−i−i−i−iii−ii-11−i−iii1-1i−ii−i1-1-11-11-11−ii
χ121-1-111i−i-11-11-1-11i−ii−i−ii-111-11-11-11-1−ii-11−ii-11i−i11-1-1i−iii−i−iii−i−i−ii-11ii−i−i-11−ii−ii-111-11-1-11−ii
χ131-1-111−ii-11-11-1-11−ii−iii−i-111-11-11-11-1i−i-11i−i-11−ii11-1-1−ii−i−iii−i−iiii−i-11−i−iii-11i−ii−i-111-11-1-11i−i
χ141-1-111−ii-11-11-1-11−ii−iii−i-111-11-11-11-1−ii1-1−ii1-1−ii11-1-1−ii−i−iiiii−i−ii−i-11ii−i−i1-1−ii−ii1-1-11-11-11i−i
χ151-1-111−ii-11-11-1-11−ii−ii−ii1-11-11-11-11-1i−i-11i−i-11−ii11-1-1−ii−i−iiiii−i−i−ii1-1ii−i−i-11i−ii−i-11-11-111-1−ii
χ161-1-111−ii-11-11-1-11−ii−ii−ii1-11-11-11-11-1−ii1-1−ii1-1−ii11-1-1−ii−i−iii−i−iii−ii1-1−i−iii1-1−ii−ii1-11-11-11-1−ii
χ1722222222222222222222222222-1-1-1-10000000022-1-1-1-1-1-1-1-1-1-1000022220000000000000000-1-1-1-1
χ18222222222222222222-2-2-2-22222-1-1-1-10000000022-1-1-1-1-1-1-1-1-1-10000-2-2-2-200000000000000001111
χ1922222-2-22222222-2-2-2-222-2-22222-1-1-1-100000000-2-2-1-1-1-1111111000022-2-2000000000000000011-1-1
χ2022222-2-22222222-2-2-2-2-2-2222222-1-1-1-100000000-2-2-1-1-1-11111110000-2-2220000000000000000-1-111
χ212222-122-1-1-12222-1-1220000-1-1-1-1222222222222-1-1-1-1-1-122-1-1-1-1000000000000-1-1-1-1-1-1-1-100000000
χ222222-122-1-1-12222-1-1220000-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-122-1-1-1-10000000000001111111100000000
χ232222-1-2-2-1-1-1222211-2-20000-1-1-1-1222222-2-222-2-211-1-1-1-1-2-2111100000000000011-1-1-1-11100000000
χ242222-1-2-2-1-1-1222211-2-20000-1-1-1-12222-2-222-2-22211-1-1-1-1-2-21111000000000000-1-11111-1-100000000
χ2522-2-22002-2-22-22-20000000022-2-222-2-200000000002-22-20000002-22-200002-22-20000000000000000
χ2622-2-22002-2-22-22-20000000022-2-222-2-200000000002-22-2000000-22-220000-22-220000000000000000
χ272-22-2200-2-2222-2-2000000002-2-222-2-2200000000002-2-220000002i−2i−2i2i00002i−2i−2i2i0000000000000000
χ282-22-2200-2-2222-2-2000000002-2-222-2-2200000000002-2-22000000−2i2i2i−2i0000−2i2i2i−2i0000000000000000
χ292-2-2222i−2i-22-22-2-222i−2i2i−2i2i−2i2-22-22-2-11-11000000002i−2i-1-111−ii−i−iii00002i−2i2-20000000000000000-11−ii
χ302-2-2222i−2i-22-22-2-222i−2i2i−2i−2i2i-222-22-2-11-11000000002i−2i-1-111−ii−i−iii0000−2i2i-2200000000000000001-1i−i
χ312-2-222−2i2i-22-22-2-22−2i2i−2i2i2i−2i-222-22-2-11-1100000000−2i2i-1-111i−iii−i−i00002i−2i-2200000000000000001-1−ii
χ322-2-222−2i2i-22-22-2-22−2i2i−2i2i−2i2i2-22-22-2-11-1100000000−2i2i-1-111i−iii−i−i0000−2i2i2-20000000000000000-11i−i
χ332-2-22-12i−2i1-112-2-22−ii2i−2i0000-11-112-22-22i−2i2-22i−2i2-2−ii-1-1112i−2i−i−iii000000000000-11−ii−ii-1100000000
χ342-2-22-12i−2i1-112-2-22−ii2i−2i0000-11-112-22-2−2i2i-22−2i2i-22−ii-1-1112i−2i−i−iii0000000000001-1i−ii−i1-100000000
χ352-2-22-1−2i2i1-112-2-22i−i−2i2i0000-11-112-22-22i−2i-222i−2i-22i−i-1-111−2i2iii−i−i0000000000001-1−ii−ii1-100000000
χ362-2-22-1−2i2i1-112-2-22i−i−2i2i0000-11-112-22-2−2i2i2-2−2i2i2-2i−i-1-111−2i2iii−i−i000000000000-11i−ii−i-1100000000
χ373333333333-1-1-1-133-1-13333-1-1-1-100001111-1-1-1-1-1-100000000001111-1-1-1-1-1-1-1-11111-1-1-1-111-1-10000
χ383333333333-1-1-1-133-1-13333-1-1-1-10000-1-1-1-11111-1-10000000000-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1110000
χ393333333333-1-1-1-133-1-1-3-3-3-3-1-1-1-100001111-1-1-1-1-1-10000000000-1-1-1-1111111111111-1-1-1-1-1-1110000
χ403333333333-1-1-1-133-1-1-3-3-3-3-1-1-1-10000-1-1-1-11111-1-1000000000011111111-1-1-1-1-1-1-1-1111111-1-10000
χ4133333-3-3333-1-1-1-1-3-31133-3-3-1-1-1-1000011-1-1-1-111110000000000-1-1-1-1-1-1111111-1-111-1-11111-1-10000
χ4233333-3-3333-1-1-1-1-3-31133-3-3-1-1-1-10000-1-11111-1-11100000000001111-1-111-1-1-1-111-1-111-1-1-1-1110000
χ4333333-3-3333-1-1-1-1-3-311-3-333-1-1-1-1000011-1-1-1-111110000000000111111-1-1-1-1-1-1-1-111-1-111-1-1110000
χ4433333-3-3333-1-1-1-1-3-311-3-333-1-1-1-10000-1-11111-1-1110000000000-1-1-1-111-1-1111111-1-111-1-111-1-10000
χ453-3-3333i−3i-33-3-111-13i−3i−ii3i−3i3-3-11-110000i−i1-1−ii-11−ii0000000000ii−i−i−ii-11−i−iii1-1i−i−ii-111-1-110000
χ463-3-3333i−3i-33-3-111-13i−3i−ii3i−3i3-3-11-110000−ii-11i−i1-1−ii0000000000−i−iii−ii-11ii−i−i-11−iii−i1-1-111-10000
χ473-3-3333i−3i-33-3-111-13i−3i−ii−3i3i-33-11-110000i−i1-1−ii-11−ii0000000000−i−iiii−i1-1ii−i−i1-1i−i−ii-11-111-10000
χ483-3-3333i−3i-33-3-111-13i−3i−ii−3i3i-33-11-110000−ii-11i−i1-1−ii0000000000ii−i−ii−i1-1−i−iii-11−iii−i1-11-1-110000
χ493-3-333−3i3i-33-3-111-1−3i3ii−i3i−3i-33-11-110000i−i-11−ii1-1i−i0000000000−i−iii−ii1-1ii−i−i-11i−i−ii1-11-1-110000
χ503-3-333−3i3i-33-3-111-1−3i3ii−i3i−3i-33-11-110000−ii1-1i−i-11i−i0000000000ii−i−i−ii1-1−i−iii1-1−iii−i-11-111-10000
χ513-3-333−3i3i-33-3-111-1−3i3ii−i−3i3i3-3-11-110000i−i-11−ii1-1i−i0000000000ii−i−ii−i-11−i−iii-11i−i−ii1-1-111-10000
χ523-3-333−3i3i-33-3-111-1−3i3ii−i−3i3i3-3-11-110000−ii1-1i−i-11i−i0000000000−i−iiii−i-11ii−i−i1-1−iii−i-111-1-110000
χ534444-244-2-2-24444-2-2440000-2-2-2-2-2-2-2-200000000-2-21111-2-211110000000000000000000000000000
χ544444-2-4-4-2-2-2444422-4-40000-2-2-2-2-2-2-2-20000000022111122-1-1-1-10000000000000000000000000000
χ5544-4-44004-4-44-44-40000000044-4-4-2-2220000000000-22-220000000000000000000000000000000000
χ5644-4-4-200-2224-44-400000000-2-22244-4-40000000000-22-220000000000000000000000000000000000
χ5744-4-4-200-2224-44-400000000-2-222-2-22200000000001-11-1003i−3i3i−3i0000000000000000000000000000
χ5844-4-4-200-2224-44-400000000-2-222-2-22200000000001-11-100−3i3i−3i3i0000000000000000000000000000
χ594-44-4400-4-4444-4-4000000004-4-44-222-20000000000-222-20000000000000000000000000000000000
χ604-44-4-20022-244-4-400000000-222-24-4-440000000000-222-20000000000000000000000000000000000
χ614-44-4-20022-244-4-400000000-222-2-222-200000000001-1-11003-3-330000000000000000000000000000
χ624-44-4-20022-244-4-400000000-222-2-222-200000000001-1-1100-333-30000000000000000000000000000
χ634-4-44-24i−4i2-224-4-44−2i2i4i−4i0000-22-22-22-2200000000−2i2i11-1-1−2i2iii−i−i0000000000000000000000000000
χ644-4-44-2−4i4i2-224-4-442i−2i−4i4i0000-22-22-22-22000000002i−2i11-1-12i−2i−i−iii0000000000000000000000000000
χ656666-366-3-3-3-2-2-2-2-3-3-2-20000111100002222-2-2-2-2110000000000000000000000-1-1-1-1111100000000
χ666666-366-3-3-3-2-2-2-2-3-3-2-2000011110000-2-2-2-222221100000000000000000000001111-1-1-1-100000000
χ676666-3-6-6-3-3-3-2-2-2-2332200001111000022-2-2-2-222-1-1000000000000000000000011-1-111-1-100000000
χ686666-3-6-6-3-3-3-2-2-2-23322000011110000-2-22222-2-2-1-10000000000000000000000-1-111-1-11100000000
χ6966-6-66006-6-6-22-2200000000-2-2220000000000000000000000002-22-20000-22-220000000000000000
χ7066-6-66006-6-6-22-2200000000-2-222000000000000000000000000-22-2200002-22-20000000000000000
χ716-66-6600-6-66-2-22200000000-222-20000000000000000000000002i−2i−2i2i0000−2i2i2i−2i0000000000000000
χ726-66-6600-6-66-2-22200000000-222-2000000000000000000000000−2i2i2i−2i00002i−2i−2i2i0000000000000000
χ736-6-66-36i−6i3-33-222-2−3i3i−2i2i00001-11-100002i−2i2-2−2i2i-22i−i0000000000000000000000-11−iii−i1-100000000
χ746-6-66-36i−6i3-33-222-2−3i3i−2i2i00001-11-10000−2i2i-222i−2i2-2i−i00000000000000000000001-1i−i−ii-1100000000
χ756-6-66-3−6i6i3-33-222-23i−3i2i−2i00001-11-100002i−2i-22−2i2i2-2−ii00000000000000000000001-1−iii−i-1100000000
χ766-6-66-3−6i6i3-33-222-23i−3i2i−2i00001-11-10000−2i2i2-22i−2i-22−ii0000000000000000000000-11i−i−ii1-100000000
χ771212-12-12-600-666-44-440000000022-2-20000000000000000000000000000000000000000000000000000
χ7812-1212-12-60066-6-4-444000000002-2-220000000000000000000000000000000000000000000000000000

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