Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
346 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 346 conjugacy classes of subgroups — too many to draw. Only its 79 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. #14558007 | C2 | semidirect |
| 3. #14557550 | C2 | semidirect |
| 4. #14557537 | C2 | semidirect |
| 5. #14557303 | C2 | semidirect |
| 6. #14557289 | C2 | semidirect |
| 7. C37×#410 | C2 | semidirect |
| 11. C2×#10596941 | C4 | semidirect |
| 12. C2×#10596939 | C4 | semidirect |
| 30. C2×Q8×C37 | C2×C4 | semidirect |
| 32. C2×D4×C37 | C2×C4 | semidirect |
| 59. C2×#64436 | C2×C4 | semidirect |
| 120. #410 | D37 | semidirect |
| 123. C37 | #1904 | semidirect |
| 146. C2×Q8 | C4×D37 | semidirect |
| 154. 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×#11924561 | 2 |
| #14558007 | 2 |
| #14557550 | 2 |
| #14557537 | 2 |
| #14557303 | 2 |
| #14557289 | 2 |
| C37×#410 | 2 |
| #1904 | 37 |