Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
172 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 172 conjugacy classes of subgroups — too many to draw. Only its 73 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 |
|---|---|---|
| 16. #11924447 | C4 | semidirect |
| 17. C4×#64436 | C4 | semidirect |
| 86. C37 | #1833 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924471 | 2 |
| #14557569 | 2 |
| #14557489 | 2 |
| #14557305 | 2 |
| #14557303 | 2 |
| #14557289 | 2 |
| C37×H(3,ℤ/4) | 2 |
| #1833 | 37 |