Finite Group DatabasebetaFinite Group DatabasebetaOrder 24448.
284 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 87 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 |
|---|---|---|
| 9. #20259321 | C4 | semidirect |
| 10. #20259313 | C4 | semidirect |
| 38. C4×Dic191 | Q8 | semidirect |
| 48. C42×C191 | Q8 | semidirect |
| 86. C191 | #1994 | semidirect |
| 135. C42 | Dic382 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #27133216 | 2 |
| #27132686 | 2 |
| C42×Dic191 | 2 |
| #27132424 | 2 |
| #27132423 | 2 |
| #27132422 | 2 |
| #339×C191 | 2 |
| #1994 | 191 |