Finite Group DatabasebetaFinite Group DatabasebetaOrder 24448.
312 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 312 conjugacy classes of subgroups — too many to draw. Only its 87 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. #27132686 | C2 | semidirect |
| 5. C4×Dic191⋊C4 | C2 | semidirect |
| 6. #27132422 | C2 | semidirect |
| 7. #339×C191 | C2 | semidirect |
| 10. #20259287 | C4 | semidirect |
| 11. #20259287 | C4 | semidirect |
| 12. #20259284 | C4 | semidirect |
| 13. #20259284 | C4 | semidirect |
| 71. Dic382 | C4⋊C4 | semidirect |
| 73. D764 | C4⋊C4 | semidirect |
| 124. Dic191 | #104 | semidirect |
| 131. C191 | #1806 | semidirect |
| 139. #339 | D191 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #27133131 | 2 |
| #27132686 | 2 |
| C2×#20259250 | 2 |
| C2×#20259248 | 2 |
| C4×Dic191⋊C4 | 2 |
| #27132422 | 2 |
| #339×C191 | 2 |
| #1806 | 191 |