Finite Group DatabasebetaFinite Group DatabasebetaOrder 2368.
124 conjugacy classes of subgroups; only the 39 normal subgroups are shown.
This group has 124 conjugacy classes of subgroups — too many to draw. Only its 39 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×#10596941 | C2 | semidirect |
| 3. #11924525 | C2 | semidirect |
| 4. #11924498 | C2 | semidirect |
| 5. #11924465 | C2 | semidirect |
| 6. #11924456 | C2 | semidirect |
| 7. #103×C37 | C2 | semidirect |
| 56. C37 | #463 | semidirect |
| 62. #103 | D37 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10596941 | 2 |
| C2×D296 | 2 |
| #11924525 | 2 |
| #11924498 | 2 |
| #11924465 | 2 |
| #11924456 | 2 |
| #103×C37 | 2 |
| #463 | 37 |