Finite Group Databasebeta

← Group #72241537

Character table — Group #72241537

Order 3456.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size134466912121212121212122424242732363648484848484848485454108108108108108108108108128128216216216288288288
order12332222466666646623446612121212121222244444443344461212
χ1111111111111111111111111111111111111111111111111
χ211111111111111111111-1-1111111111111-1-1-1-1-1-1111-1-11-1-1
χ31111111-1-1111111-1111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1111
χ41111111-1-1111111-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1111-1-1
χ5111111-111111111111-11i−i11111111-1-1-1-1i−ii−ii−i11-1i−i-1i−i
χ6111111-111111111111-11−ii11111111-1-1-1-1−ii−ii−ii11-1−ii-1−ii
χ7111111-1-1-1111111-111-11i−i-1-1-1-1-1-1-1-1-1-111−iii−i−ii111−ii-1i−i
χ8111111-1-1-1111111-111-11−ii-1-1-1-1-1-1-1-1-1-111i−i−iii−i111i−i-1−ii
χ92222222002222220222-122000000002200002200-1-1000-1-1-1
χ102222222002222220222-1-2-200000000220000-2-200-1-1000-111
χ11222222-200222222022-2-12i−2i00000000-2-200002i−2i00-1-10001−ii
χ12222222-200222222022-2-1−2i2i00000000-2-20000−2i2i00-1-10001i−i
χ133333-1-131133-1-1-1-1-1-1-130331111-1-1-1-1-1-11111-1-11100-1-1-1000
χ143333-1-131133-1-1-1-1-1-1-130-3-31111-1-1-1-1-1-111-1-111-1-100-111000
χ153333-1-13-1-133-1-1-1-11-1-13033-1-1-1-11111-1-1-1-1-1-1-1-1-1-100111000
χ163333-1-13-1-133-1-1-1-11-1-130-3-3-1-1-1-11111-1-1-1-1111111001-1-1000
χ173333-1-1-31133-1-1-1-1-1-1-1-303i−3i1111-1-1-1-111-1-1i−i−iii−i001−ii000
χ183333-1-1-31133-1-1-1-1-1-1-1-30−3i3i1111-1-1-1-111-1-1−iii−i−ii001i−i000
χ193333-1-1-3-1-133-1-1-1-11-1-1-303i−3i-1-1-1-111111111−ii−ii−ii00-1i−i000
χ203333-1-1-3-1-133-1-1-1-11-1-1-30−3i3i-1-1-1-111111111i−ii−ii−i00-1−ii000
χ21441-2440441-211-2-241-204001-21-211-2-200000000001-2000000
χ22441-2440-4-41-211-2-2-41-20400-12-12-1-12200000000001-2000000
χ2344-2144044-21-2-2114-210400-21-21-2-2110000000000-21000000
χ2444-21440-4-4-21-2-211-4-2104002-12-122-1-10000000000-21000000
χ256-2662-2600-2-2-2-2-2-2022-200000000000-22002200-2-200000000
χ266-2662-2600-2-2-2-2-2-2022-200000000000-2200-2-2002200000000
χ276-2662-2-600-2-2-2-2-2-20222000000000002-2002i−2i00−2i2i00000000
χ286-2662-2-600-2-2-2-2-2-20222000000000002-200−2i2i002i−2i00000000
χ296-266-2262-2-2-222220-2-2-200022-2-200002-22-200000000000000
χ306-266-226-22-2-222220-2-2-2000-2-22200002-2-2200000000000000
χ316-266-22-62-2-2-222220-2-2200022-2-20000-22-2200000000000000
χ326-266-22-6-22-2-222220-2-22000-2-2220000-222-200000000000000
χ33882-4880002-422-4-402-40-400000000000000000000-12000000
χ3488-4288000-42-4-4220-420-4000000000000000000002-1000000
χ3512123-6-4-40443-6-1-122-4-1200001-21-2-1-122000000000000000000
χ3612123-6-4-40-4-43-6-1-1224-120000-12-1211-2-2000000000000000000
χ371212-63-4-4044-6322-1-1-42-10000-21-2122-1-1000000000000000000
χ381212-63-4-40-4-4-6322-1-142-100002-12-1-2-211000000000000000000
χ3912-43-6-4404-4-127-5-2-20-1200001-2-123-300000000000000000000
χ4012-43-6-4404-4-12-57-2-20-1200001-2-12-3300000000000000000000
χ4112-43-6-440-44-127-5-2-20-120000-121-2-3300000000000000000000
χ4212-43-6-440-44-12-57-2-20-120000-121-23-300000000000000000000
χ4312-4-63-4404-42-1-2-27-502-10000-212-1003-3000000000000000000
χ4412-4-63-4404-42-1-2-2-5702-10000-212-100-33000000000000000000
χ4512-4-63-440-442-1-2-27-502-100002-1-2100-33000000000000000000
χ4612-4-63-440-442-1-2-2-5702-100002-1-21003-3000000000000000000
χ4724-86-128-8000-24-2-24402-4000000000000000000000000000000
χ4824-8-1268-80004-244-2-20-42000000000000000000000000000000

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