Finite Group DatabasebetaFinite Group Databasebeta| order | 30276 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4 · Schur multiplier (H2) = C1 |
| direct product | C3×C3⋊#16809850 |
| unambiguous semidirect product | C3⋊(C3×#16809850) |
| Fitting, Hall | C32×C841 ⋊ C4 |
| derived | C3×C841 ⋊ C3×C4 |
| Sylow | C841 ⋊ C3×Dic3 |
| Sylow | C32 ⋊ #16809850 |
42 conjugacy classes of subgroups.
| transitive degree | μt(G) = 5046 |
1908 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(30276, 21);