Finite Group Databasebeta

← Group #72214227

Character table — Group #72214227

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size11233468812121212121212121216242432323232486464646464649696969696969696
order122224222444444444222366626666121244444444
χ11111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111-1-1111111111-1-1-11111-1-1-1-1-111ii−i−iii−i−i
χ41111111-1-1111111111-1-1-11111-1-1-1-1-111−i−iii−i−iii
χ511111-1111-11111-1-1-1-1-1111111-111-1-1-1-11-11-11-11-1
χ611111-1111-11111-1-1-1-1-1111111-111-1-1-1-1-11-11-11-11
χ711111-11-1-1-11111-1-1-1-11-1-111111-1-111-1-1i−i−iii−i−ii
χ811111-11-1-1-11111-1-1-1-11-1-111111-1-111-1-1−iii−i−iii−i
χ9222222222222222222222-1-1-1-12-1-1-1-1-1-100000000
χ102222222-2-2222222222-2-2-2-1-1-1-1-21111-1-100000000
χ1122222-2222-22222-2-2-2-2-222-1-1-1-1-2-1-1111100000000
χ1222222-22-2-2-22222-2-2-2-22-2-2-1-1-1-1211-1-11100000000
χ1322-2220-22-2022-2-2000002-22-2-2202-2000000000000
χ1422-2220-22-2022-2-2000002-2-111-10-11−i3i3−i3i300000000
χ1522-2220-22-2022-2-2000002-2-111-10-11i3−i3i3−i300000000
χ1622-2220-2-22022-2-200000-222-2-220-22000000000000
χ1722-2220-2-22022-2-200000-22-111-101-1−i3i3i3−i300000000
χ1822-2220-2-22022-2-200000-22-111-101-1i3−i3−i3i300000000
χ193333333333-1-1-1-1-1-1-1-13-1-10000-10000001111-1-1-1-1
χ203333333333-1-1-1-1-1-1-1-13-1-10000-1000000-1-1-1-11111
χ213333333-3-33-1-1-1-1-1-1-1-1-31100001000000ii−i−i−i−iii
χ223333333-3-33-1-1-1-1-1-1-1-1-31100001000000−i−iiiii−i−i
χ2333333-3333-3-1-1-1-11111-3-1-1000010000001-11-1-11-11
χ2433333-3333-3-1-1-1-11111-3-1-100001000000-11-111-11-1
χ2533333-33-3-3-3-1-1-1-111113110000-1000000i−i−ii−iii−i
χ2633333-33-3-3-3-1-1-1-111113110000-1000000−iii−ii−i−ii
χ274-404-4000004-4000000000400-4000000000000000
χ284-404-4000004-4000000000-2−2i32i32000000000000000
χ294-404-4000004-4000000000-22i3−2i32000000000000000
χ3066-6660-66-60-2-22200000-220000000000000000000
χ3166-6660-6-660-2-222000002-20000000000000000000
χ32121212-4-412-400-4000000000000000000000000000000
χ33121212-4-4-12-4004000000000000000000000000000000
χ341212-12-4-404000000044-4-40000000000000000000000
χ351212-12-4-4040000000-4-4440000000000000000000000
χ3612-12012-1200000-440000000000000000000000000000
χ3712-120-4400000004-44-44-40000000000000000000000
χ3812-120-4400000004-4-44-440000000000000000000000
χ3912-120-440000000-444-4-440000000000000000000000
χ4012-120-440000000-44-444-40000000000000000000000

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