Finite Group Databasebeta

← Group #72226640

Character table — Group #72226640

Order 3072.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34
size134446612121248484848484848484848484896969696256256256256256256256256
order1222222222224444444444444433666666
χ11111111111111111111111111111111111
χ211111111111111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ311111111111111111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ433333333333-1333-1-1-1-1-1-1-1-1-1-1-100000000
χ53333333333-13-1-1-1333-1-1-1-1-1-1-1-100000000
χ63333333333-1-1-1-1-1-1-1-13333-1-1-1-100000000
χ73333333333-1-1-1-1-1-1-1-1-1-1-1-133-1-100000000
χ83333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-13300000000
χ9444-4-4444-4-40000000000000000111-1-11-1-1
χ10444-4-4444-4-40000000000000000−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32
χ11444-4-4444-4-40000000000000000−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32
χ1244-44-4-4-444-4000000000000000011-11-1-11-1
χ1344-44-4-4-444-40000000000000000−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i32
χ1444-44-4-4-444-40000000000000000−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i32
χ1544-4-44-4-44-44000000000000000011-1-11-1-11
χ1644-4-44-4-44-440000000000000000−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i32
χ1744-4-44-4-44-440000000000000000−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i32
χ18666-6-6-2-2-222222-2-22-2-222-2-2000000000000
χ19666-6-6-2-2-2222-22-2-2-222-2-222000000000000
χ20666-6-6-2-2-222-22-2222-2-2-2-222000000000000
χ21666-6-6-2-2-222-2-2-222-22222-2-2000000000000
χ2266-66-622-2-2222-22-2-22-200002-20000000000
χ2366-66-622-2-222-2-22-22-220000-220000000000
χ2466-66-622-2-22-222-22-22-20000-220000000000
χ2566-66-622-2-22-2-22-222-2200002-20000000000
χ2666-6-6622-22-222-2-22-2-220000002-200000000
χ2766-6-6622-22-22-2-2-2222-2000000-2200000000
χ2866-6-6622-22-2-2222-2-2-22000000-2200000000
χ2966-6-6622-22-2-2-222-222-20000002-200000000
χ301212121212-4-4-4-4-4000000000000000000000000
χ3124-80008-800000000000004i−4i000000000000
χ3224-80008-80000000000000−4i4i000000000000
χ3324-8000-88000000000004-400000000000000
χ3424-8000-8800000000000-4400000000000000

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