Finite Group DatabasebetaFinite Group DatabasebetaOrder 24448.
284 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 79 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. #27132699 | C2 | semidirect |
| 3. #27132681 | C2 | semidirect |
| 4. #27132680 | C2 | semidirect |
| 5. #27132636 | C2 | semidirect |
| 6. #27132619 | C2 | semidirect |
| 7. #410×C191 | C2 | semidirect |
| 13. C2×#15690277 | C4 | semidirect |
| 14. C2×#15690275 | C4 | semidirect |
| 15. C2×#15690274 | C4 | semidirect |
| 16. C2×#15690272 | C4 | semidirect |
| 132. C191 | #1976 | semidirect |
| 139. #410 | D191 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#20259342 | 2 |
| #27132699 | 2 |
| #27132681 | 2 |
| #27132680 | 2 |
| #27132636 | 2 |
| #27132619 | 2 |
| #410×C191 | 2 |
| #1976 | 191 |