Finite Group DatabasebetaFinite Group Databasebeta| order | 17100 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C19 · Schur multiplier (H2) = C3 |
| direct product | C19×C3⋊#64470 |
| unambiguous semidirect product | C3⋊(C19×#64470) |
| derived, Hall | C3×C52⋊C3 ⋊ C4×C19 |
| Hall | C3×C19×C52⋊C3 ⋊ C4 |
| Hall | C52×C19 ⋊ C3⋊Dic3 |
| Sylow | C52 ⋊ C19×C3⋊Dic3 |
96 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3420 |
912 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17100, 302);