Finite Group DatabasebetaFinite Group Databasebeta| order | 24102 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C9×C103 · Schur multiplier (H2) = C1 |
| direct product | C103×D13⋊C9 |
| unambiguous semidirect product | D13⋊(C9×C103) |
| unambiguous semidirect product | (C13⋊C9)⋊(C2×C103) |
| derived, Sylow | C13 ⋊ C2×C9×C103 |
| Hall | C103×C13⋊C9 ⋊ C2 |
| Hall | D13×C103 ⋊ C9 |
| Hall | C13×C103 ⋊ C2×C9 |
| Hall | C13⋊C9 ⋊ C2×C103 |
| Hall | D13 ⋊ C9×C103 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 12051 |
2472 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(24102, 18);