Finite Group DatabasebetaFinite Group DatabasebetaOrder 24448.
378 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 378 conjugacy classes of subgroups — too many to draw. Only its 109 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. #27133007 | C2 | semidirect |
| 3. #27133002 | C2 | semidirect |
| 4. #27132921 | C2 | semidirect |
| 5. #27132902 | C2 | semidirect |
| 6. #27132820 | C2 | semidirect |
| 7. #27132817 | C2 | semidirect |
| 9. #470×C191 | C2 | semidirect |
| 110. C191 | #3202 | semidirect |
| 116. #470 | D191 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #27133236 | 2 |
| #27133007 | 2 |
| #27133002 | 2 |
| #27132921 | 2 |
| #27132902 | 2 |
| #27132820 | 2 |
| #27132817 | 2 |
| #27132631 | 2 |
| #470×C191 | 2 |
| #3202 | 191 |