Finite Group DatabasebetaFinite Group DatabasebetaOrder 2368.
294 conjugacy classes of subgroups; only the 151 normal subgroups are shown.
This group has 294 conjugacy classes of subgroups — too many to draw. Only its 151 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. #11924501 | C2 | semidirect |
| 3. #11924498 | C2 | semidirect |
| 4. C4×C22⋊D37 | C2 | semidirect |
| 5. #11924495 | C2 | semidirect |
| 6. #11924494 | C2 | semidirect |
| 7. C4⋊C4×D37 | C2 | semidirect |
| 8. C2×C4⋊C4×C37 | C2 | semidirect |
| 12. #10596962 | C4 | semidirect |
| 29. C2×C4×C37 | C2×C4 | semidirect |
| 33. C22⋊D37 | C2×C4 | semidirect |
| 37. D148 | C2×C4 | semidirect |
| 39. C4×D37 | C2×C4 | semidirect |
| 40. Dic74 | C2×C4 | semidirect |
| 60. C37 | #520 | semidirect |
| 68. C2×C4⋊C4 | D37 | semidirect |
| 97. C2×C4 | C4×D37 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10596962 | 2 |
| #11924501 | 2 |
| #11924498 | 2 |
| C4×C22⋊D37 | 2 |
| #11924495 | 2 |
| #11924494 | 2 |
| C4⋊C4×D37 | 2 |
| C2×C4⋊C4×C37 | 2 |
| #520 | 37 |