Finite Group DatabasebetaFinite Group Databasebeta| order | 17004 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4 · Schur multiplier (H2) = C1 |
| direct product | C4×#16862571 |
| Fitting, Hall | C4×C13×C109 ⋊ C3 |
| derived, Hall | C13×C109 ⋊ C3×C4 |
| Hall | C4×C109 ⋊ C13⋊C3 |
| Sylow | C109 ⋊ C4×C13⋊C3 |
| Hall | C4×C13 ⋊ C109⋊C3 |
| Sylow | C13 ⋊ C4×C109⋊C3 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 5668 |
1900 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17004, 5);