Finite Group DatabasebetaFinite Group Databasebeta| order | 3328 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C28 |
| direct product | C2×#13130682 |
| unambiguous semidirect product | D13⋊#1792 |
| Fitting | C2×C13×H(5,𝔽2) ⋊ C4 |
| Sylow | C13 ⋊ C2×#1792 |
4114 conjugacy classes of subgroups.
| transitive degree | μt(G) = 208 |
166 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#261×#453 |
| maximal normal subgroup of | C2×#261×#453 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3328, 1104465);