Finite Group DatabasebetaFinite Group Databasebeta| order | 17100 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C4 · Schur multiplier (H2) = C3×C5 |
| direct product | C3×Dic19⋊(C52⋊C3) |
| unambiguous semidirect product | (C3×Dic19)⋊(C52⋊C3) |
| derived, Hall | C52×C19 ⋊ C32×C4 |
| Hall | C3×C19⋊(C52⋊C3) ⋊ C4 |
| Hall | C52×Dic19 ⋊ C32 |
| Hall | Dic19 ⋊ C3×C52⋊C3 |
| Sylow | C52 ⋊ C3×(C19⋊C3)⋊C4 |
| Sylow | C19 ⋊ C3×C4×C52⋊C3 |
96 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3420 |
582 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17100, 294);