Finite Group DatabasebetaFinite Group DatabasebetaOrder 2368.
120 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 120 conjugacy classes of subgroups — too many to draw. Only its 43 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. #11924534 | C2 | semidirect |
| 4. #11924465 | C2 | semidirect |
| 5. #11924461 | C2 | semidirect |
| 6. #11924460 | C2 | semidirect |
| 47. Dic37 | SD16 | semidirect |
| 53. C37 | #461 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10596940 | 2 |
| #11924534 | 2 |
| D4×Dic37 | 2 |
| #11924465 | 2 |
| #11924461 | 2 |
| #11924460 | 2 |
| C2×SD16×C37 | 2 |
| #461 | 37 |