Finite Group DatabasebetaFinite Group Databasebeta| order | 3328 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C27×C4 |
| direct product | C2×#13131355 |
| unambiguous semidirect product | D13⋊#2355 |
| Fitting | C2×C4×Q8×C13 ⋊ C4 |
| Sylow | C13 ⋊ C2×#2355 |
2638 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
220 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3328, 1114229);