Finite Group DatabasebetaFinite Group DatabasebetaOrder 13851.
202 conjugacy classes of subgroups; only the 52 normal subgroups are shown.
This group has 202 conjugacy classes of subgroups — too many to draw. Only its 52 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 143. C19 | #10624588 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #17987415 | 3 |
| 3−1+2×#4294 | 3 |
| #17987402 | 3 |
| #17987325 | 3 |
| #17987324 | 3 |
| #17987322 | 3 |
| #17987321 | 3 |
| #17987317 | 3 |
| #17987315 | 3 |
| C19×#6858 | 3 |
| #10624588 | 19 |