Finite Group Databasebeta

← Group #85543

Character table — Group #85543

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31
size11222446666888812121616161616162424242424242424
order122442422443612122466612121222448888
χ11111111111111111111111111111111
χ211111111111111111111111-1-1-1-1-1-1-1-1
χ311111-1-111111111-1-11-1-11-1-111-1-1-1-111
χ411111-1-111111111-1-11-1-11-1-1-1-11111-1-1
χ511-1-111-1-11-1111-1-1-11-1111-1-11-11-11-11-1
χ611-1-111-1-11-1111-1-1-11-1111-1-1-11-11-11-11
χ711-1-11-11-11-1111-1-11-1-1-1-11111-1-11-111-1
χ811-1-11-11-11-1111-1-11-1-1-1-1111-111-11-1-11
χ922222222222-1-1-1-122-1-1-1-1-1-100000000
χ1022222-2-22222-1-1-1-1-2-2-111-11100000000
χ11222-2-200-2-22222-2-200200-20000000000
χ12222-2-200-2-222-1-11100-1−i3i31−i3i300000000
χ13222-2-200-2-222-1-11100-1i3−i31i3−i300000000
χ1422-22-2002-2-22222200-200-20000000000
χ1522-22-2002-2-22-1-1-1-1001−i3i31i3−i300000000
χ1622-22-2002-2-22-1-1-1-1001i3−i31−i3i300000000
χ1722-2-222-2-22-22-1-111-221-1-1-11100000000
χ1822-2-22-22-22-22-1-1112-2111-1-1-100000000
χ193333333-1-1-1-10000-1-100000011-1-111-1-1
χ203333333-1-1-1-10000-1-1000000-1-111-1-111
χ2133333-3-3-1-1-1-10000110000001111-1-1-1-1
χ2233333-3-3-1-1-1-1000011000000-1-1-1-11111
χ2333-3-333-31-11-100001-10000001-1-111-1-11
χ2433-3-333-31-11-100001-1000000-111-1-111-1
χ2533-3-33-331-11-10000-110000001-11-1-11-11
χ2633-3-33-331-11-10000-11000000-11-111-11-1
χ27666-6-60022-2-200000000000000000000
χ2866-66-600-222-200000000000000000000
χ298-80000000002-223−230000000000000000
χ308-80000000002-2−23230000000000000000
χ318-8000000000-44000000000000000000

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