Finite Group DatabasebetaFinite Group DatabasebetaOrder 13851.
170 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 170 conjugacy classes of subgroups — too many to draw. Only its 49 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 |
|---|---|---|
| 132. C19 | #10624674 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #17987442 | 3 |
| #17987441 | 3 |
| #17987435 | 3 |
| #17987325 | 3 |
| #17987323 | 3 |
| #17987321 | 3 |
| #17987316 | 3 |
| #17987314 | 3 |
| C19×#6860 | 3 |
| #10624674 | 19 |