Finite Group Databasebeta

← Group #72268827

Character table — Group #72268827

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36
size112334688121624242424242432323232486464646464649696969696969696
order12222222224444444366626666121244448888
χ1111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111-1-11-11111-1-11111-111-1-1-1-1ii−i−iii−i−i
χ41111111-1-11-11111-1-11111-111-1-1-1-1−i−iii−i−iii
χ511111-1111-1-111-1-1111111-1-1-111-1-11-11-11-11-1
χ611111-1111-1-111-1-1111111-1-1-111-1-1-11-11-11-11
χ711111-11-1-1-1111-1-1-1-111111-1-1-1-111i−i−iii−i−ii
χ811111-11-1-1-1111-1-1-1-111111-1-1-1-111−iii−i−iii−i
χ922222222222222222-1-1-1-12-1-1-1-1-1-100000000
χ102222222-2-22-22222-2-2-1-1-1-1-2-1-1111100000000
χ1122222-2222-2-222-2-222-1-1-1-1-211-1-11100000000
χ1222222-22-2-2-2222-2-2-2-2-1-1-1-121111-1-100000000
χ1322-2220-22-2002-2002-22-2-220002-20000000000
χ1422-2220-22-2002-2002-2-111-10−i3i3-11−i3i300000000
χ1522-2220-22-2002-2002-2-111-10i3−i3-11i3−i300000000
χ1622-2220-2-22002-200-222-2-22000-220000000000
χ1722-2220-2-22002-200-22-111-10−i3i31-1i3−i300000000
χ1822-2220-2-22002-200-22-111-10i3−i31-1−i3i300000000
χ1933333333333-1-1-1-1-1-10000-10000001111-1-1-1-1
χ2033333333333-1-1-1-1-1-10000-1000000-1-1-1-11111
χ213333333-3-33-3-1-1-1-11100001000000ii−i−i−i−iii
χ223333333-3-33-3-1-1-1-11100001000000−i−iiiii−i−i
χ2333333-3333-3-3-1-111-1-1000010000001-11-1-11-11
χ2433333-3333-3-3-1-111-1-100001000000-11-111-11-1
χ2533333-33-3-3-33-1-111110000-1000000i−i−ii−iii−i
χ2633333-33-3-3-33-1-111110000-1000000−iii−ii−i−ii
χ2766-6660-66-600-2200-220000000000000000000
χ2866-6660-6-6600-22002-20000000000000000000
χ298-808-80000000000002−2i32i3-2000000000000000
χ308-808-800000000000022i3−2i3-2000000000000000
χ318-808-8000000000000-4004000000000000000
χ32121212-4-412-400-400000000000000000000000000
χ33121212-4-4-12-400400000000000000000000000000
χ341212-12-4-4040000004-4000000000000000000000
χ351212-12-4-404000000-44000000000000000000000
χ3624-240-880000000000000000000000000000000

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