Finite Group Databasebeta

← Group #72209897

Character table — Group #72209897

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35
size112668812121212242424242424242424244848484864646464128128128128128128
order1242422224422444488884488336666661212
χ111111111111111111111111111111111111
χ21111111111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32
χ31111111111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32
χ411111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-111
χ511111-1-1-1-1-1-1111111-1-1-1-1-1-111−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32
χ611111-1-1-1-1-1-1111111-1-1-1-1-1-111−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32
χ7333333333333-13-1-1-1-1-1-1-1-1-1-1-10000000000
χ83333333-1-1-1-1-13-13-1-1-1-1-1-1-13-1-10000000000
χ93333333-1-1-1-1-1-1-1-133-1-1-1-13-1-1-10000000000
χ103333333-1-1-1-1-1-1-1-1-1-133-1-1-1-13-10000000000
χ113333333-1-1-1-1-1-1-1-1-1-1-1-133-1-1-130000000000
χ1233333-3-31111-13-13-1-111111-3-1-10000000000
χ1333333-3-31111-1-1-1-1331111-31-1-10000000000
χ1433333-3-31111-1-1-1-1-1-111-3-311-130000000000
χ1533333-3-31111-1-1-1-1-1-1-3-311113-10000000000
χ1633333-3-3-3-3-3-33-13-1-1-1111111-1-10000000000
χ1744-44-44-400000000000000000011111-11-1-1-1
χ1844-44-44-4000000000000000000−1+i32−1−i32−1+i32−1−i32−1+i321−i32−1−i321+i321−i321+i32
χ1944-44-44-4000000000000000000−1−i32−1+i32−1−i32−1+i32−1−i321+i32−1+i321−i321+i321−i32
χ2044-44-4-440000000000000000001111-11-11-1-1
χ2144-44-4-44000000000000000000−1+i32−1−i32−1+i32−1−i321−i32−1+i321+i32−1−i321−i321+i32
χ2244-44-4-44000000000000000000−1−i32−1+i32−1−i32−1+i321+i32−1−i321−i32−1+i321+i321−i32
χ2366-6-2200004-4-222-22-22-22-200000000000000
χ2466-6-2200004-4-2-222-22-22-2200000000000000
χ2566-6-220000-44-222-22-2-22-2200000000000000
χ2666-6-220000-44-2-222-222-22-200000000000000
χ2766-6-22004-40022-2-2-222-2-2200000000000000
χ2866-6-22004-4002-2-222-2-222-200000000000000
χ2966-6-2200-440022-2-2-22-222-200000000000000
χ3066-6-2200-44002-2-222-22-2-2200000000000000
χ31121212-4-40044-4-4000000000000000000000000
χ32121212-4-400-4-444000000000000000000000000
χ3316-1600000000000000000000000-2-222000000
χ3416-16000000000000000000000001−i31+i3−1+i3−1−i3000000
χ3516-16000000000000000000000001+i31−i3−1−i3−1+i3000000

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