Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
370 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 83 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. #14558014 | C2 | semidirect |
| 3. C2×#11924464 | C2 | semidirect |
| 4. #14557538 | C2 | semidirect |
| 5. #14557302 | C2 | semidirect |
| 6. #14557293 | C2 | semidirect |
| 7. C37×#390 | C2 | semidirect |
| 10. #11924562 | C4 | semidirect |
| 34. C2×D4×C37 | C2×C4 | semidirect |
| 64. #10596934 | C2×C4 | semidirect |
| 95. D148 | C22⋊C4 | semidirect |
| 100. Dic74 | C22⋊C4 | semidirect |
| 137. #390 | D37 | semidirect |
| 140. C37 | #1883 | semidirect |
| 174. C2×D4 | C4×D37 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924562 | 2 |
| #14558014 | 2 |
| C2×#11924464 | 2 |
| #14557538 | 2 |
| #14557302 | 2 |
| #14557293 | 2 |
| C37×#390 | 2 |
| #1883 | 37 |