Finite Group Databasebeta

← Group #11715744

Character table — Group #11715744

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37
size11112266666612121212121212242424243232323232323232484848484848
order12224422444422444444444366612121212448888
χ11111111111111111111111111111111111111
χ21111111111111111111-1-1-1-111111111-1-1-1-1-1-1
χ31111-1-111111111-1-1-1-1-111-1-11111-1-1-1-11-111-1-1
χ41111-1-111111111-1-1-1-1-1-1-1111111-1-1-1-1-11-1-111
χ522222222222222222220000-1-1-1-1-1-1-1-1000000
χ62222-2-222222222-2-2-2-2-20000-1-1-1-11111000000
χ722-2-2002-222-2-22-200000000022-2-20000000000
χ822-2-2002-222-2-22-2000000000-1-11133−3−3000000
χ922-2-2002-222-2-22-2000000000-1-111−3−333000000
χ1033333333-1-1-1-1-1-1-1-13-1-111110000000011-1-1-1-1
χ1133333333-1-1-1-1-1-1-1-13-1-1-1-1-1-100000000-1-11111
χ12333333-1-13-13-1-1-13-1-1-1-1111100000000-1-11-11-1
χ13333333-1-13-13-1-1-13-1-1-1-1-1-1-1-10000000011-11-11
χ14333333-1-1-13-13-1-1-13-1-1-1111100000000-1-1-11-11
χ15333333-1-1-13-13-1-1-13-1-1-1-1-1-1-100000000111-11-1
χ163333-3-333-1-1-1-1-1-111-31111-1-1000000001-1-1-111
χ173333-3-333-1-1-1-1-1-111-311-1-11100000000-1111-1-1
χ183333-3-3-1-13-13-1-1-1-3111111-1-100000000-111-1-11
χ193333-3-3-1-13-13-1-1-1-31111-1-111000000001-1-111-1
χ203333-3-3-1-1-13-13-1-11-311111-1-100000000-11-111-1
χ213333-3-3-1-1-13-13-1-11-3111-1-111000000001-11-1-11
χ224-4-444-400000000000002-22-21-1-111-11-1000000
χ234-4-444-40000000000000-22-221-1-111-11-1000000
χ244-4-44-4400000000000002-2-221-1-11-11-11000000
χ254-4-44-440000000000000-222-21-1-11-11-11000000
χ26666666-2-2-2-2-2-222-2-2-222000000000000000000
χ276666-6-6-2-2-2-2-2-222222-2-2000000000000000000
χ2866-6-6006-6-2-222-2200000000000000000000000
χ2966-6-600-226-2-62-2200000000000000000000000
χ3066-6-600-22-262-6-2200000000000000000000000
χ3166-6-600-22-2-2222-20004i−4i000000000000000000
χ3266-6-600-22-2-2222-2000−4i4i000000000000000000
χ338-88-800000000000000000002-22-20000000000
χ348-88-80000000000000000000-11-113−3−33000000
χ358-88-80000000000000000000-11-11−333−3000000
χ368-8-888-800000000000000000-111-1-11-11000000
χ378-8-88-8800000000000000000-111-11-11-1000000

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