Finite Group DatabasebetaFinite Group DatabasebetaOrder 24448.
350 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 350 conjugacy classes of subgroups — too many to draw. Only its 71 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 |
|---|---|---|
| 1. #27133461 | C2 | semidirect |
| 2. #27132631 | C2 | semidirect |
| 3. #27132630 | C2 | semidirect |
| 4. C191⋊#338 | C2 | semidirect |
| 5. #575×C191 | C2 | semidirect |
| 92. C191 | #2017 | semidirect |
| 95. #575 | D191 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #27133461 | 2 |
| #27132631 | 2 |
| #27132630 | 2 |
| C191⋊#338 | 2 |
| #575×C191 | 2 |
| #2017 | 191 |