Finite Group DatabasebetaFinite Group Databasebeta| order | 33174 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C9×C97 · Schur multiplier (H2) = C1 |
| direct product | C9×D19×C97 |
| Fitting, Hall | C9×C19×C97 ⋊ C2 |
| derived, Sylow | C19 ⋊ C2×C9×C97 |
| Hall | C19×C97 ⋊ C2×C9 |
| Hall | C9×C19 ⋊ C2×C97 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16587 |
9603 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(33174, 7);