Finite Group DatabasebetaFinite Group DatabasebetaOrder 24448.
484 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 143 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. C2×#20259353 | C2 | semidirect |
| 3. C2×Q8×Dic191 | C2 | semidirect |
| 4. #27132887 | C2 | semidirect |
| 5. #27132883 | C2 | semidirect |
| 6. #27132871 | C2 | semidirect |
| 7. #27132861 | C2 | semidirect |
| 8. #27132686 | C2 | semidirect |
| 9. #27132665 | C2 | semidirect |
| 10. #27132664 | C2 | semidirect |
| 11. C2×#137×C191 | C2 | semidirect |
| 80. C2×Q8×C191 | D4 | semidirect |
| 150. Dic191 | #137 | semidirect |
| 157. C191 | #3037 | semidirect |
| 160. C2×#137 | D191 | semidirect |
| 210. C2×Q8 | C22⋊D191 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#20259353 | 2 |
| #27133209 | 2 |
| C2×Q8×Dic191 | 2 |
| #27132887 | 2 |
| #27132883 | 2 |
| #27132871 | 2 |
| #27132861 | 2 |
| #27132686 | 2 |
| #27132665 | 2 |
| #27132664 | 2 |
| C2×#137×C191 | 2 |
| #3037 | 191 |