Finite Group DatabasebetaFinite Group DatabasebetaOrder 24448.
382 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 382 conjugacy classes of subgroups — too many to draw. Only its 67 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. C2×#20259237 | C2 | semidirect |
| 3. C2×#20259236 | C2 | semidirect |
| 4. #27132542 | C2 | semidirect |
| 5. #27132536 | C2 | semidirect |
| 6. #27132429 | C2 | semidirect |
| 7. #386×C191 | C2 | semidirect |
| 53. C22⋊Dic191 | D4 | semidirect |
| 175. C191 | #2044 | semidirect |
| 181. #386 | D191 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #27133222 | 2 |
| C2×#20259237 | 2 |
| C2×#20259236 | 2 |
| #27132542 | 2 |
| #27132536 | 2 |
| #27132429 | 2 |
| #386×C191 | 2 |
| #2044 | 191 |