Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
316 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 316 conjugacy classes of subgroups — too many to draw. Only its 81 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. C4×#10596934 | C2 | semidirect |
| 3. #14557260 | C2 | semidirect |
| 4. C37×#432 | C2 | semidirect |
| 15. C4×#64436 | C22 | semidirect |
| 17. C4⋊C8×C37 | C22 | semidirect |
| 60. D148 | M16 | semidirect |
| 87. #432 | D37 | semidirect |
| 90. C37 | #1490 | semidirect |
| 101. C4⋊C8 | C2×D37 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×D148 | 2 |
| C4×#10596934 | 2 |
| #14557260 | 2 |
| C37×#432 | 2 |
| #1490 | 37 |