Finite Group DatabasebetaFinite Group DatabasebetaOrder 24448.
262 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 85 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 |
|---|---|---|
| 2. #27132711 | C2 | semidirect |
| 3. #27132686 | C2 | semidirect |
| 5. #27132433 | C2 | semidirect |
| 6. #27132422 | C2 | semidirect |
| 17. #20259249 | C4 | semidirect |
| 18. #20259249 | C4 | semidirect |
| 97. C191 | #1861 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #27133430 | 2 |
| #27132711 | 2 |
| #27132686 | 2 |
| C2×#20259249 | 2 |
| #27132433 | 2 |
| #27132422 | 2 |
| #421×C191 | 2 |
| #1861 | 191 |