Finite Group DatabasebetaFinite Group DatabasebetaOrder 24448.
458 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 458 conjugacy classes of subgroups — too many to draw. Only its 141 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. C22×C4⋊Dic191 | C2 | semidirect |
| 3. #27132999 | C2 | semidirect |
| 4. #27132994 | C2 | semidirect |
| 5. #27132982 | C2 | semidirect |
| 6. #27132977 | C2 | semidirect |
| 7. #27132705 | C2 | semidirect |
| 8. #27132665 | C2 | semidirect |
| 9. #407×C191 | C2 | semidirect |
| 27. #20259256 | C22 | semidirect |
| 28. #20259254 | C22 | semidirect |
| 29. #20259247 | C22 | semidirect |
| 30. #20259244 | C22 | semidirect |
| 130. C191 | #3092 | semidirect |
| 140. #407 | D191 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #27133174 | 2 |
| C22×C4⋊Dic191 | 2 |
| #27132999 | 2 |
| #27132994 | 2 |
| #27132982 | 2 |
| #27132977 | 2 |
| #27132705 | 2 |
| #27132665 | 2 |
| #407×C191 | 2 |
| #3092 | 191 |