Finite Group DatabasebetaFinite Group Databasebeta| order | 26100 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C9 · Schur multiplier (H2) = C2×C5 |
| direct product | C2×D29×C52⋊C9 |
| unambiguous semidirect product | C29⋊(C22×C52⋊C9) |
| unambiguous semidirect product | (C2×C29)⋊(C2×C52⋊C9) |
| unambiguous semidirect product | (C2×C52×D29)⋊C9 |
| derived, Hall | C52×C29 ⋊ C22×C9 |
| Hall | C29×C52⋊C9 ⋊ C22 |
| Hall | C2×C52×D29 ⋊ C9 |
| Sylow | C29 ⋊ C22×C52⋊C9 |
| Sylow | C52 ⋊ C2×C9×D29 |
100 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2610 |
1056 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(26100, 151);