Finite Group Databasebeta

← Group #3753

Character table — Group #3753

Order 144.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27
size112222222224444444444444181836
order1233334666626666666612121212882
χ1111111111111111111111111111
χ2111111111111111111111111-1-1-1
χ311111111111-1-1-1-1-1-1-1-1-1111111-1
χ411111111111-1-1-1-1-1-1-1-1-11111-1-11
χ5222222-22222000000000-2-2-2-2000
χ6222-1-1-122-1-1-1222-1-1-1-1-1-12-1-1-1000
χ7222-1-1-122-1-1-1-2-2-21111112-1-1-1000
χ8222-1-1-1-22-1-1-1000−i3−i3−i3i3i3i3-2111000
χ9222-1-1-1-22-1-1-1000i3i3i3−i3−i3−i3-2111000
χ1022-12-1-12-12-1-12-1-12-1-12-1-1-12-1-1000
χ1122-12-1-12-12-1-1-211-211-211-12-1-1000
χ1222-12-1-1-2-12-1-10−i3i30−i3i30−i3i31-211000
χ1322-12-1-1-2-12-1-10i3−i30i3−i30i3−i31-211000
χ1422-1-12-12-1-12-12-1-1-12-1-1-12-1-12-1000
χ1522-1-12-12-1-12-1-2111-2111-2-1-12-1000
χ1622-1-12-1-2-1-12-10−i3i3i30−i3−i3i3011-21000
χ1722-1-12-1-2-1-12-10i3−i3−i30i3i3−i3011-21000
χ1822-1-1-122-1-1-122-1-1-1-12-12-1-1-1-12000
χ1922-1-1-122-1-1-12-21111-21-21-1-1-12000
χ2022-1-1-12-2-1-1-120−i3i3−i3i30i30−i3111-2000
χ2122-1-1-12-2-1-1-120i3−i3i3−i30−i30i3111-2000
χ222-222220-2-2-2-200000000000002−20
χ232-222220-2-2-2-20000000000000−220
χ244-44-2-2-20-42220000000000000000
χ254-4-24-2-202-4220000000000000000
χ264-4-2-24-2022-420000000000000000
χ274-4-2-2-240222-40000000000000000

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