Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
384 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 141 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×#11924528 | C2 | semidirect |
| 3. #14557841 | C2 | semidirect |
| 4. #14557834 | C2 | semidirect |
| 5. #14557575 | C2 | semidirect |
| 7. C37×#423 | C2 | semidirect |
| 96. #423 | D37 | semidirect |
| 98. C37 | #3080 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924528 | 2 |
| C4×#10596962 | 2 |
| #14557841 | 2 |
| #14557834 | 2 |
| #14557575 | 2 |
| #14557535 | 2 |
| C37×#423 | 2 |
| #3080 | 37 |