Finite Group Databasebeta

← Group #11922047

Character table — Group #11922047

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11112233336688888888121212121212121222224466661212161616161616161624242424242424243333669999181824242424242424243636363636363636
order1222442222443666121212122244444436661212666612123666121212126612121212121222224422224466661212121222444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1
χ31111-1-11111-1-11111-1-1-1-111-1-111-1-11111-1-11111-1-11111-1-1-1-111-1-111-1-11111-1-11111-1-11111-1-1-1-111-1-111-1-1
χ41111-1-11111-1-11111-1-1-1-1-1-111-1-1111111-1-11111-1-11111-1-1-1-1-1-111-1-1111111-1-11111-1-11111-1-1-1-1-1-111-1-111
χ511-1-1i−i1-11-1i−i11-1-1ii−i−i1-1i−i1-1i−i11-1-1i−i1-11-1i−i11-1-1ii−i−i1-1i−i1-1i−i11-1-1i−i1-11-1i−i11-1-1ii−i−i1-1i−i1-1i−i
χ611-1-1i−i1-11-1i−i11-1-1ii−i−i-11−ii-11−ii11-1-1i−i1-11-1i−i11-1-1ii−i−i-11−ii-11−ii11-1-1i−i1-11-1i−i11-1-1ii−i−i-11−ii-11−ii
χ711-1-1−ii1-11-1−ii11-1-1−i−iii1-1−ii1-1−ii11-1-1−ii1-11-1−ii11-1-1−i−iii1-1−ii1-1−ii11-1-1−ii1-11-1−ii11-1-1−i−iii1-1−ii1-1−ii
χ811-1-1−ii1-11-1−ii11-1-1−i−iii-11i−i-11i−i11-1-1−ii1-11-1−ii11-1-1−i−iii-11i−i-11i−i11-1-1−ii1-11-1−ii11-1-1−i−iii-11i−i-11i−i
χ9222222222222-1-1-1-1-1-1-1-100000000222222222222-1-1-1-1-1-1-1-100000000222222222222-1-1-1-1-1-1-1-100000000
χ102222-2-22222-2-2-1-1-1-11111000000002222-2-22222-2-2-1-1-1-11111000000002222-2-22222-2-2-1-1-1-1111100000000
χ1122-2-22i−2i2-22-22i−2i-1-111−i−iii0000000022-2-22i−2i2-22-22i−2i-1-111−i−iii0000000022-2-22i−2i2-22-22i−2i-1-111−i−iii00000000
χ1222-2-2−2i2i2-22-2−2i2i-1-111ii−i−i0000000022-2-2−2i2i2-22-2−2i2i-1-111ii−i−i0000000022-2-2−2i2i2-22-2−2i2i-1-111ii−i−i00000000
χ132-22-200-222-2002-2-220000000000002-22-200-222-2002-2-220000000000002-22-200-222-2002-2-22000000000000
χ142-22-200-222-200-111-1−i3i3−i3i3000000002-22-200-222-200-111-1−i3i3−i3i3000000002-22-200-222-200-111-1−i3i3−i3i300000000
χ152-22-200-222-200-111-1i3−i3i3−i3000000002-22-200-222-200-111-1i3−i3i3−i3000000002-22-200-222-200-111-1i3−i3i3−i300000000
χ162-2-2200-2-222002-22-20000000000002-2-2200-2-222002-22-20000000000002-2-2200-2-222002-22-2000000000000
χ172-2-2200-2-22200-11-113−3−33000000002-2-2200-2-22200-11-113−3−33000000002-2-2200-2-22200-11-113−3−3300000000
χ182-2-2200-2-22200-11-11−333−3000000002-2-2200-2-22200-11-11−333−3000000002-2-2200-2-22200-11-11−333−300000000
χ19333333-1-1-1-1-1-1000000001111-1-1-1-1333333-1-1-1-1-1-1000000001111-1-1-1-1333333-1-1-1-1-1-1000000001111-1-1-1-1
χ20333333-1-1-1-1-1-100000000-1-1-1-11111333333-1-1-1-1-1-100000000-1-1-1-11111333333-1-1-1-1-1-100000000-1-1-1-11111
χ213333-3-3-1-1-1-1110000000011-1-1-1-1113333-3-3-1-1-1-1110000000011-1-1-1-1113333-3-3-1-1-1-1110000000011-1-1-1-111
χ223333-3-3-1-1-1-11100000000-1-11111-1-13333-3-3-1-1-1-11100000000-1-11111-1-13333-3-3-1-1-1-11100000000-1-11111-1-1
χ2333-3-33i−3i-11-11−ii000000001-1i−i-11−ii33-3-33i−3i-11-11−ii000000001-1i−i-11−ii33-3-33i−3i-11-11−ii000000001-1i−i-11−ii
χ2433-3-33i−3i-11-11−ii00000000-11−ii1-1i−i33-3-33i−3i-11-11−ii00000000-11−ii1-1i−i33-3-33i−3i-11-11−ii00000000-11−ii1-1i−i
χ2533-3-3−3i3i-11-11i−i000000001-1−ii-11i−i33-3-3−3i3i-11-11i−i000000001-1−ii-11i−i33-3-3−3i3i-11-11i−i000000001-1−ii-11i−i
χ2633-3-3−3i3i-11-11i−i00000000-11i−i1-1−ii33-3-3−3i3i-11-11i−i00000000-11i−i1-1−ii33-3-3−3i3i-11-11i−i00000000-11i−i1-1−ii
χ276-66-6002-2-220000000000000000006-66-6002-2-220000000000000000006-66-6002-2-22000000000000000000
χ286-6-660022-2-20000000000000000006-6-660022-2-20000000000000000006-6-660022-2-2000000000000000000
χ2911111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3011111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ311111-1-11111-1-11111-1-1-1-111-1-111-1-11111-1-11111-1-11111-1-1-1-111-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-111
χ321111-1-11111-1-11111-1-1-1-1-1-111-1-1111111-1-11111-1-11111-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-111-1-1
χ3311-1-1i−i1-11-1i−i11-1-1ii−i−i1-1i−i1-1i−i11-1-1i−i1-11-1i−i11-1-1ii−i−i1-1i−i1-1i−i-1-111−ii-11-11−ii-1-111−i−iii-11−ii-11−ii
χ3411-1-1i−i1-11-1i−i11-1-1ii−i−i-11−ii-11−ii11-1-1i−i1-11-1i−i11-1-1ii−i−i-11−ii-11−ii-1-111−ii-11-11−ii-1-111−i−iii1-1i−i1-1i−i
χ3511-1-1−ii1-11-1−ii11-1-1−i−iii1-1−ii1-1−ii11-1-1−ii1-11-1−ii11-1-1−i−iii1-1−ii1-1−ii-1-111i−i-11-11i−i-1-111ii−i−i-11i−i-11i−i
χ3611-1-1−ii1-11-1−ii11-1-1−i−iii-11i−i-11i−i11-1-1−ii1-11-1−ii11-1-1−i−iii-11i−i-11i−i-1-111i−i-11-11i−i-1-111ii−i−i1-1−ii1-1−ii
χ37222222222222-1-1-1-1-1-1-1-100000000222222222222-1-1-1-1-1-1-1-100000000-2-2-2-2-2-2-2-2-2-2-2-21111111100000000
χ382222-2-22222-2-2-1-1-1-11111000000002222-2-22222-2-2-1-1-1-1111100000000-2-2-2-222-2-2-2-2221111-1-1-1-100000000
χ3922-2-22i−2i2-22-22i−2i-1-111−i−iii0000000022-2-22i−2i2-22-22i−2i-1-111−i−iii00000000-2-222−2i2i-22-22−2i2i11-1-1ii−i−i00000000
χ4022-2-2−2i2i2-22-2−2i2i-1-111ii−i−i0000000022-2-2−2i2i2-22-2−2i2i-1-111ii−i−i00000000-2-2222i−2i-22-222i−2i11-1-1−i−iii00000000
χ412-22-200-222-2002-2-220000000000002-22-200-222-2002-2-22000000000000-22-22002-2-2200-222-2000000000000
χ422-22-200-222-200-111-1−i3i3−i3i3000000002-22-200-222-200-111-1−i3i3−i3i300000000-22-22002-2-22001-1-11i3−i3i3−i300000000
χ432-22-200-222-200-111-1i3−i3i3−i3000000002-22-200-222-200-111-1i3−i3i3−i300000000-22-22002-2-22001-1-11−i3i3−i3i300000000
χ442-2-2200-2-222002-22-20000000000002-2-2200-2-222002-22-2000000000000-222-20022-2-200-22-22000000000000
χ452-2-2200-2-22200-11-113−3−33000000002-2-2200-2-22200-11-113−3−3300000000-222-20022-2-2001-11-1−333−300000000
χ462-2-2200-2-22200-11-11−333−3000000002-2-2200-2-22200-11-11−333−300000000-222-20022-2-2001-11-13−3−3300000000
χ47333333-1-1-1-1-1-1000000001111-1-1-1-1333333-1-1-1-1-1-1000000001111-1-1-1-1-3-3-3-3-3-311111100000000-1-1-1-11111
χ48333333-1-1-1-1-1-100000000-1-1-1-11111333333-1-1-1-1-1-100000000-1-1-1-11111-3-3-3-3-3-3111111000000001111-1-1-1-1
χ493333-3-3-1-1-1-1110000000011-1-1-1-1113333-3-3-1-1-1-1110000000011-1-1-1-111-3-3-3-3331111-1-100000000-1-11111-1-1
χ503333-3-3-1-1-1-11100000000-1-11111-1-13333-3-3-1-1-1-11100000000-1-11111-1-1-3-3-3-3331111-1-10000000011-1-1-1-111
χ5133-3-33i−3i-11-11−ii000000001-1i−i-11−ii33-3-33i−3i-11-11−ii000000001-1i−i-11−ii-3-333−3i3i1-11-1i−i00000000-11−ii1-1i−i
χ5233-3-33i−3i-11-11−ii00000000-11−ii1-1i−i33-3-33i−3i-11-11−ii00000000-11−ii1-1i−i-3-333−3i3i1-11-1i−i000000001-1i−i-11−ii
χ5333-3-3−3i3i-11-11i−i000000001-1−ii-11i−i33-3-3−3i3i-11-11i−i000000001-1−ii-11i−i-3-3333i−3i1-11-1−ii00000000-11i−i1-1−ii
χ5433-3-3−3i3i-11-11i−i00000000-11i−i1-1−ii33-3-3−3i3i-11-11i−i00000000-11i−i1-1−ii-3-3333i−3i1-11-1−ii000000001-1−ii-11i−i
χ556-66-6002-2-220000000000000000006-66-6002-2-22000000000000000000-66-6600-222-2000000000000000000
χ566-6-660022-2-20000000000000000006-6-660022-2-2000000000000000000-666-600-2-222000000000000000000
χ572222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000
χ5822222222222222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111110000000000000000000000000000
χ592222-2-22222-2-22222-2-2-2-222-2-222-2-2-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-1110000000000000000000000000000
χ602222-2-22222-2-22222-2-2-2-2-2-222-2-222-1-1-1-111-1-1-1-111-1-1-1-1111111-1-111-1-10000000000000000000000000000
χ6122-2-22i−2i2-22-22i−2i22-2-22i2i−2i−2i2-22i−2i2-22i−2i-1-111−ii-11-11−ii-1-111−i−iii-11−ii-11−ii0000000000000000000000000000
χ6222-2-22i−2i2-22-22i−2i22-2-22i2i−2i−2i-22−2i2i-22−2i2i-1-111−ii-11-11−ii-1-111−i−iii1-1i−i1-1i−i0000000000000000000000000000
χ6322-2-2−2i2i2-22-2−2i2i22-2-2−2i−2i2i2i2-2−2i2i2-2−2i2i-1-111i−i-11-11i−i-1-111ii−i−i-11i−i-11i−i0000000000000000000000000000
χ6422-2-2−2i2i2-22-2−2i2i22-2-2−2i−2i2i2i-222i−2i-222i−2i-1-111i−i-11-11i−i-1-111ii−i−i1-1−ii1-1−ii0000000000000000000000000000
χ65444444444444-2-2-2-2-2-2-2-200000000-2-2-2-2-2-2-2-2-2-2-2-211111111000000000000000000000000000000000000
χ664444-4-44444-4-4-2-2-2-2222200000000-2-2-2-222-2-2-2-2221111-1-1-1-1000000000000000000000000000000000000
χ6744-4-44i−4i4-44-44i−4i-2-222−2i−2i2i2i00000000-2-222−2i2i-22-22−2i2i11-1-1ii−i−i000000000000000000000000000000000000
χ6844-4-4−4i4i4-44-4−4i4i-2-2222i2i−2i−2i00000000-2-2222i−2i-22-222i−2i11-1-1−i−iii000000000000000000000000000000000000
χ694-44-400-444-4004-4-44000000000000-22-22002-2-2200-222-20000000000000000000000000000000000000000
χ704-44-400-444-400-222-2−2i32i3−2i32i300000000-22-22002-2-22001-1-11i3−i3i3−i3000000000000000000000000000000000000
χ714-44-400-444-400-222-22i3−2i32i3−2i300000000-22-22002-2-22001-1-11−i3i3−i3i3000000000000000000000000000000000000
χ724-4-4400-4-444004-44-4000000000000-222-20022-2-200-22-220000000000000000000000000000000000000000
χ734-4-4400-4-44400-22-2223−23−232300000000-222-20022-2-2001-11-1−333−3000000000000000000000000000000000000
χ744-4-4400-4-44400-22-22−232323−2300000000-222-20022-2-2001-11-13−3−33000000000000000000000000000000000000
χ75666666-2-2-2-2-2-2000000002222-2-2-2-2-3-3-3-3-3-311111100000000-1-1-1-111110000000000000000000000000000
χ76666666-2-2-2-2-2-200000000-2-2-2-22222-3-3-3-3-3-3111111000000001111-1-1-1-10000000000000000000000000000
χ776666-6-6-2-2-2-2220000000022-2-2-2-222-3-3-3-3331111-1-100000000-1-11111-1-10000000000000000000000000000
χ786666-6-6-2-2-2-22200000000-2-22222-2-2-3-3-3-3331111-1-10000000011-1-1-1-1110000000000000000000000000000
χ7966-6-66i−6i-22-22−2i2i000000002-22i−2i-22−2i2i-3-333−3i3i1-11-1i−i00000000-11−ii1-1i−i0000000000000000000000000000
χ8066-6-66i−6i-22-22−2i2i00000000-22−2i2i2-22i−2i-3-333−3i3i1-11-1i−i000000001-1i−i-11−ii0000000000000000000000000000
χ8166-6-6−6i6i-22-222i−2i000000002-2−2i2i-222i−2i-3-3333i−3i1-11-1−ii00000000-11i−i1-1−ii0000000000000000000000000000
χ8266-6-6−6i6i-22-222i−2i00000000-222i−2i2-2−2i2i-3-3333i−3i1-11-1−ii000000001-1−ii-11i−i0000000000000000000000000000
χ8312-1212-12004-4-44000000000000000000-66-6600-222-20000000000000000000000000000000000000000000000
χ8412-12-12120044-4-4000000000000000000-666-600-2-2220000000000000000000000000000000000000000000000

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