Finite Group DatabasebetaFinite Group Databasebeta| order | 27738 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C9×C23 · Schur multiplier (H2) = C1 |
| direct product | C9×C23×D67 |
| Fitting, Hall | C9×C23×C67 ⋊ C2 |
| derived, Sylow | C67 ⋊ C2×C9×C23 |
| Hall | C23×C67 ⋊ C2×C9 |
| Hall | C9×C67 ⋊ C2×C23 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 13869 |
7245 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(27738, 3);