Finite Group Databasebeta

← Group #11922402

Character table — Group #11922402

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size11112266888888881212121212242422224412121616161616161616242424242448483333661818242424242424242436363636367272
order1222444436661212121228888443666121212123666121212126242424241212222244446666121212122888844
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-1
χ31111-1-1111111-1-1-1-1-111-1-11-11111-1-1111111-1-1-1-1-111-1-11-11111-1-1111111-1-1-1-1-111-1-11-1
χ41111-1-1111111-1-1-1-1-1-1-111-111111-1-1111111-1-1-1-1-1-1-111-111111-1-1111111-1-1-1-1-1-1-111-11
χ522222222-1-1-1-1-1-1-1-1200000022222222-1-1-1-1-1-1-1-1200000022222222-1-1-1-1-1-1-1-12000000
χ62222-2-222-1-1-1-11111-20000002222-2-222-1-1-1-11111-20000002222-2-222-1-1-1-11111-2000000
χ72-22-22i−2i00-11-11ii−i−i0−i2i22−2002-22-22i−2i00-11-11ii−i−i0−i2i22−2002-22-22i−2i00-11-11ii−i−i0−i2i22−200
χ82-22-22i−2i00-11-11ii−i−i0i2−i2−22002-22-22i−2i00-11-11ii−i−i0i2−i2−22002-22-22i−2i00-11-11ii−i−i0i2−i2−2200
χ92-22-2−2i2i00-11-11−i−iii0−i2i2−22002-22-2−2i2i00-11-11−i−iii0−i2i2−22002-22-2−2i2i00-11-11−i−iii0−i2i2−2200
χ102-22-2−2i2i00-11-11−i−iii0i2−i22−2002-22-2−2i2i00-11-11−i−iii0i2−i22−2002-22-2−2i2i00-11-11−i−iii0i2−i22−200
χ112-2-22002-22-2-22000000000002-2-22002-22-2-22000000000002-2-22002-22-2-2200000000000
χ122-2-22002-2-111-1−i3i3−i3i300000002-2-22002-2-111-1−i3i3−i3i300000002-2-22002-2-111-1−i3i3−i3i30000000
χ132-2-22002-2-111-1i3−i3i3−i300000002-2-22002-2-111-1i3−i3i3−i300000002-2-22002-2-111-1i3−i3i3−i30000000
χ14333333-1-100000000-11111-1-1333333-1-100000000-11111-1-1333333-1-100000000-11111-1-1
χ15333333-1-100000000-1-1-1-1-111333333-1-100000000-1-1-1-1-111333333-1-100000000-1-1-1-1-111
χ163333-3-3-1-100000000111-1-1-113333-3-3-1-100000000111-1-1-113333-3-3-1-100000000111-1-1-11
χ173333-3-3-1-1000000001-1-1111-13333-3-3-1-1000000001-1-1111-13333-3-3-1-1000000001-1-1111-1
χ1844-4-4000011-1-13−3−33000000044-4-4000011-1-13−3−33000000044-4-4000011-1-13−3−330000000
χ1944-4-4000011-1-1−333−3000000044-4-4000011-1-1−333−3000000044-4-4000011-1-1−333−30000000
χ2044-4-40000-2-2220000000000044-4-40000-2-2220000000000044-4-40000-2-22200000000000
χ214-44-44i−4i001-11-1−i−iii00000004-44-44i−4i001-11-1−i−iii00000004-44-44i−4i001-11-1−i−iii0000000
χ224-44-4−4i4i001-11-1ii−i−i00000004-44-4−4i4i001-11-1ii−i−i00000004-44-4−4i4i001-11-1ii−i−i0000000
χ236-6-6600-220000000000000006-6-6600-220000000000000006-6-6600-22000000000000000
χ241111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2511111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ261111-1-1111111-1-1-1-1-111-1-11-11111-1-1111111-1-1-1-1-111-1-11-1-1-1-1-111-1-1-1-1-1-111111-1-111-11
χ271111-1-1111111-1-1-1-1-1-1-111-111111-1-1111111-1-1-1-1-1-1-111-11-1-1-1-111-1-1-1-1-1-11111111-1-11-1
χ2822222222-1-1-1-1-1-1-1-1200000022222222-1-1-1-1-1-1-1-12000000-2-2-2-2-2-2-2-211111111-2000000
χ292222-2-222-1-1-1-11111-20000002222-2-222-1-1-1-11111-2000000-2-2-2-222-2-21111-1-1-1-12000000
χ302-22-22i−2i00-11-11ii−i−i0−i2i22−2002-22-22i−2i00-11-11ii−i−i0−i2i22−200-22-22−2i2i001-11-1−i−iii0i2−i2−2200
χ312-22-22i−2i00-11-11ii−i−i0i2−i2−22002-22-22i−2i00-11-11ii−i−i0i2−i2−2200-22-22−2i2i001-11-1−i−iii0−i2i22−200
χ322-22-2−2i2i00-11-11−i−iii0−i2i2−22002-22-2−2i2i00-11-11−i−iii0−i2i2−2200-22-222i−2i001-11-1ii−i−i0i2−i22−200
χ332-22-2−2i2i00-11-11−i−iii0i2−i22−2002-22-2−2i2i00-11-11−i−iii0i2−i22−200-22-222i−2i001-11-1ii−i−i0−i2i2−2200
χ342-2-22002-22-2-22000000000002-2-22002-22-2-2200000000000-222-200-22-222-200000000000
χ352-2-22002-2-111-1−i3i3−i3i300000002-2-22002-2-111-1−i3i3−i3i30000000-222-200-221-1-11i3−i3i3−i30000000
χ362-2-22002-2-111-1i3−i3i3−i300000002-2-22002-2-111-1i3−i3i3−i30000000-222-200-221-1-11−i3i3−i3i30000000
χ37333333-1-100000000-11111-1-1333333-1-100000000-11111-1-1-3-3-3-3-3-311000000001-1-1-1-111
χ38333333-1-100000000-1-1-1-1-111333333-1-100000000-1-1-1-1-111-3-3-3-3-3-3110000000011111-1-1
χ393333-3-3-1-100000000111-1-1-113333-3-3-1-100000000111-1-1-11-3-3-3-3331100000000-1-1-1111-1
χ403333-3-3-1-1000000001-1-1111-13333-3-3-1-1000000001-1-1111-1-3-3-3-3331100000000-111-1-1-11
χ4144-4-4000011-1-13−3−33000000044-4-4000011-1-13−3−330000000-4-4440000-1-111−333−30000000
χ4244-4-4000011-1-1−333−3000000044-4-4000011-1-1−333−30000000-4-4440000-1-1113−3−330000000
χ4344-4-40000-2-2220000000000044-4-40000-2-22200000000000-4-444000022-2-200000000000
χ444-44-44i−4i001-11-1−i−iii00000004-44-44i−4i001-11-1−i−iii0000000-44-44−4i4i00-11-11ii−i−i0000000
χ454-44-4−4i4i001-11-1ii−i−i00000004-44-4−4i4i001-11-1ii−i−i0000000-44-444i−4i00-11-11−i−iii0000000
χ466-6-6600-220000000000000006-6-6600-22000000000000000-666-6002-2000000000000000
χ4722222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000
χ4822222222222222222-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111100000000000000000000000
χ492222-2-2222222-2-2-2-2-222-2-22-2-1-1-1-111-1-1-1-1-1-111111-1-111-1100000000000000000000000
χ502222-2-2222222-2-2-2-2-2-2-222-22-1-1-1-111-1-1-1-1-1-11111111-1-11-100000000000000000000000
χ5144444444-2-2-2-2-2-2-2-24000000-2-2-2-2-2-2-2-211111111-200000000000000000000000000000
χ524444-4-444-2-2-2-22222-4000000-2-2-2-222-2-21111-1-1-1-1200000000000000000000000000000
χ534-44-44i−4i00-22-222i2i−2i−2i0−2i22i222−2200-22-22−2i2i001-11-1−i−iii0i2−i2−220000000000000000000000000
χ544-44-44i−4i00-22-222i2i−2i−2i02i2−2i2−222200-22-22−2i2i001-11-1−i−iii0−i2i22−20000000000000000000000000
χ554-44-4−4i4i00-22-22−2i−2i2i2i0−2i22i2−222200-22-222i−2i001-11-1ii−i−i0i2−i22−20000000000000000000000000
χ564-44-4−4i4i00-22-22−2i−2i2i2i02i2−2i222−2200-22-222i−2i001-11-1ii−i−i0−i2i2−220000000000000000000000000
χ574-4-44004-44-4-4400000000000-222-200-22-222-20000000000000000000000000000000000
χ584-4-44004-4-222-2−2i32i3−2i32i30000000-222-200-221-1-11i3−i3i3−i3000000000000000000000000000000
χ594-4-44004-4-222-22i3−2i32i3−2i30000000-222-200-221-1-11−i3i3−i3i3000000000000000000000000000000
χ60666666-2-200000000-22222-2-2-3-3-3-3-3-311000000001-1-1-1-11100000000000000000000000
χ61666666-2-200000000-2-2-2-2-222-3-3-3-3-3-3110000000011111-1-100000000000000000000000
χ626666-6-6-2-200000000222-2-2-22-3-3-3-3331100000000-1-1-1111-100000000000000000000000
χ636666-6-6-2-2000000002-2-2222-2-3-3-3-3331100000000-111-1-1-1100000000000000000000000
χ6488-8-8000022-2-223−23−23230000000-4-4440000-1-111−333−3000000000000000000000000000000
χ6588-8-8000022-2-2−232323−230000000-4-4440000-1-1113−3−33000000000000000000000000000000
χ6688-8-80000-4-44400000000000-4-444000022-2-20000000000000000000000000000000000
χ678-88-88i−8i002-22-2−2i−2i2i2i0000000-44-44−4i4i00-11-11ii−i−i000000000000000000000000000000
χ688-88-8−8i8i002-22-22i2i−2i−2i0000000-44-444i−4i00-11-11−i−iii000000000000000000000000000000
χ6912-12-121200-44000000000000000-666-6002-200000000000000000000000000000000000000

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