Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
198 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 198 conjugacy classes of subgroups — too many to draw. Only its 61 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×#11924481 | C2 | semidirect |
| 2. C2×D592 | C2 | semidirect |
| 3. #14557917 | C2 | semidirect |
| 4. #14557910 | C2 | semidirect |
| 5. C37×#346 | C2 | semidirect |
| 31. C16×C37 | D4 | semidirect |
| 64. #346 | D37 | semidirect |
| 65. C37 | #2250 | semidirect |
| 91. C16 | D148 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924481 | 2 |
| C2×D592 | 2 |
| #14557917 | 2 |
| #14557910 | 2 |
| C37×#346 | 2 |
| #2250 | 37 |