Finite Group DatabasebetaFinite Group Databasebeta| order | 29988 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C4×C17 · Schur multiplier (H2) = C3×C7 |
| direct product | C3×C17×#10596875 |
| derived, Sylow | C72 ⋊ C32×C4×C17 |
| Hall | C3×C17×#3862 ⋊ C4 |
| Hall | C17×C7⋊Dic7 ⋊ C32 |
| Hall | C72×C17 ⋊ C32×C4 |
| Hall | C3×#3862 ⋊ C4×C17 |
| Hall | C7⋊Dic7 ⋊ C32×C17 |
168 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4284 |
1428 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(29988, 289);