Finite Group Databasebeta

← Group #11923655

Character table — Group #11923655

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size11223333336666666661212181818181824242424242424242424242432326464727272729696
order1236222222224666666664444444441212121212121212363644441212
χ1111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ3111111111111-111111111-1-1-1-1-11111111111111111-1-1-1-1-1-1
χ4111111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ522222222222222222222222222000000000000-1-1-1-10000-1-1
χ6222222222222-222222222-2-2-2-2-2000000000000-1-1-1-1000011
χ722-1-1222222220-1-1-1-1-1-1-1-1000002222-1-1-1-1-1-1-1-122-1-1000000
χ822-1-1222222220-1-1-1-1-1-1-1-100000-2-2-2-21111111122-1-1000000
χ92-22-2222-2-2-22-20222-2-2-22-2000000000000000002-22-2000000
χ102-22-2222-2-2-22-20222-2-2-22-200000000000000000-11-1100003−3
χ112-22-2222-2-2-22-20222-2-2-22-200000000000000000-11-110000−33
χ122-2-11222-2-2-22-20-1-1-1111-110000000003−3333−3−3−32-2-11000000
χ132-2-11222-2-2-22-20-1-1-1111-11000000000−33−3−3−33332-2-11000000
χ1433333-1-13-1-1-1-133-1-13-1-1-1-13-1-1-1-111-1-1111-1-11-1-1000011-1-100
χ1533333-1-13-1-1-1-133-1-13-1-1-1-13-1-1-1-1-1-111-1-1-111-1110000-1-11100
χ1633333-1-13-1-1-1-1-33-1-13-1-1-1-1-3111111-1-1111-1-11-1-10000-1-11100
χ1733333-1-13-1-1-1-1-33-1-13-1-1-1-1-31111-1-111-1-1-111-111000011-1-100
χ183333-13-1-13-1-1-13-13-1-13-1-1-1-13-1-1-11-11-111-11-1-11-100001-11-100
χ193333-13-1-13-1-1-13-13-1-13-1-1-1-13-1-1-1-11-11-1-11-111-110000-11-1100
χ203333-13-1-13-1-1-1-3-13-1-13-1-1-11-31111-11-111-11-1-11-10000-11-1100
χ213333-13-1-13-1-1-1-3-13-1-13-1-1-11-3111-11-11-1-11-111-1100001-11-100
χ223333-1-13-1-13-1-13-1-13-1-13-1-1-1-13-1-11-1-1111-1-11-1-1100001-1-1100
χ233333-1-13-1-13-1-13-1-13-1-13-1-1-1-13-1-1-111-1-1-111-111-10000-111-100
χ243333-1-13-1-13-1-1-3-1-13-1-13-1-111-3111-1-1111-1-11-1-110000-111-100
χ253333-1-13-1-13-1-1-3-1-13-1-13-1-111-311-111-1-1-111-111-100001-1-1100
χ2644-2-2444444440-2-2-2-2-2-2-2-200000000000000000-2-211000000
χ274-4-22444-4-4-44-40-2-2-2222-2200000000000000000-221-1000000
χ286666-2-2-2-2-2-2226-2-2-2-2-2-222-2-2-2220000000000000000000000
χ296666-2-2-2-2-2-222-6-2-2-2-2-2-222222-2-20000000000000000000000
χ3066-3-36-2-26-2-2-2-20-311-311110000022-2-2-1-1-111-1110000000000
χ3166-3-36-2-26-2-2-2-20-311-3111100000-2-222111-1-11-1-10000000000
χ3266-3-3-26-2-26-2-2-201-311-3111000002-22-2-1-11-111-110000000000
χ3366-3-3-26-2-26-2-2-201-311-311100000-22-2211-11-1-11-10000000000
χ3466-3-3-2-26-2-26-2-2011-311-311000002-2-22-1-111-111-10000000000
χ3566-3-3-2-26-2-26-2-2011-311-31100000-222-211-1-11-1-110000000000
χ366-66-66-2-2-622-2206-2-2-622-22000000000000000000000000000
χ376-66-6-26-22-62-220-26-22-62-22000000000000000000000000000
χ386-66-6-2-2622-6-220-2-2622-6-22000000000000000000000000000
χ396-66-6-2-2-22222-20-2-2-22222-20004i−4i0000000000000000000000
χ406-66-6-2-2-22222-20-2-2-22222-2000−4i4i0000000000000000000000
χ416-6-336-2-2-622-220-3113-1-11-10000000003−33−3−3−3330000000000
χ426-6-336-2-2-622-220-3113-1-11-1000000000−33−3333−3−30000000000
χ436-6-33-26-22-62-2201-31-13-11-10000000003−3−33−33−330000000000
χ446-6-33-26-22-62-2201-31-13-11-1000000000−333−33−33−30000000000
χ456-6-33-2-2622-6-22011-3-1-131-10000000003−3−3−3333−30000000000
χ466-6-33-2-2622-6-22011-3-1-131-1000000000−3333−3−3−330000000000
χ471212-6-6-4-4-4-4-4-4440222222-2-2000000000000000000000000000
χ4812-12-66-4-4-44444-40222-2-2-2-22000000000000000000000000000

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