Finite Group DatabasebetaFinite Group DatabasebetaOrder 24448.
322 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 322 conjugacy classes of subgroups — too many to draw. Only its 117 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. #27132970 | C2 | semidirect |
| 3. #27132967 | C2 | semidirect |
| 6. #27132873 | C2 | semidirect |
| 7. #27132870 | C2 | semidirect |
| 94. C191 | #3261 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #27133275 | 2 |
| #27132970 | 2 |
| #27132967 | 2 |
| #27132919 | 2 |
| #27132902 | 2 |
| #27132873 | 2 |
| #27132870 | 2 |
| #27132690 | 2 |
| #541×C191 | 2 |
| #3261 | 191 |