Finite Group DatabasebetaFinite Group Databasebeta| order | 3328 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | #261×#453 |
| Fitting | C13×#453 ⋊ C4 |
| Sylow | C13 ⋊ C4×#453 |
1578 conjugacy classes of subgroups.
| transitive degree | μt(G) = 104 |
112 conjugacy classes — view the full character table.
| maximal subgroup of | #453×AGL(1,𝔽13), #261×#5935, C2×#261×#453 |
| maximal normal subgroup of | #453×AGL(1,𝔽13), C2×#261×#453 |
| maximal quotient of | C2×#261×#453 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3328, 1106458);