Finite Group DatabasebetaFinite Group Databasebeta| order | 14994 |
| isoclinism | isoclinic class of D17 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C32×C49 · Schur multiplier (H2) = C3 |
| direct product | C32×D17×C49 |
| unambiguous semidirect product | C17⋊(C2×C32×C49) |
| Fitting, Hall | C32×C17×C49 ⋊ C2 |
| derived, Sylow | C17 ⋊ C2×C32×C49 |
| Hall | C17×C49 ⋊ C2×C32 |
| Hall | C32×C17 ⋊ C2×C49 |
72 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7497 |
4410 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C32×C49×#595, C32×C49⋊#595, C32×D17×D49, … |
| maximal normal subgroup of | C32×C49×#595, C32×C49⋊#595, C32×D17×D49, … |
| maximal quotient of | C32×C49×Dic17, C2×C32×D17×C49 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14994, 22);