Finite Group DatabasebetaFinite Group Databasebeta| order | 30492 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C11 · Schur multiplier (H2) = C3 |
| direct product | C11×C3⋊Dic231 |
| unambiguous semidirect product | C3⋊(C11×Dic231) |
| unambiguous semidirect product | C7⋊(C11×C3⋊Dic33) |
| unambiguous semidirect product | C11⋊(C11×C3⋊Dic21) |
| derived | C32×C7×C11 ⋊ C4×C11 |
| Hall | C32×C7×C112 ⋊ C4 |
| Hall | C32×C112 ⋊ Dic7 |
| Hall | C7×C112 ⋊ C3⋊Dic3 |
| Sylow | C112 ⋊ C3⋊Dic21 |
| Hall | C32×C7 ⋊ C11×Dic11 |
| Sylow | C32 ⋊ C11×Dic77 |
| Sylow | C7 ⋊ C11×C3⋊Dic33 |
264 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2772 |
7656 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(30492, 258);