Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
256 conjugacy classes of subgroups; only the 66 normal subgroups are shown.
This group has 256 conjugacy classes of subgroups — too many to draw. Only its 66 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×#11924611 | C2 | semidirect |
| 2. C2×#11924606 | C2 | semidirect |
| 3. #14558451 | C2 | direct (N × H) |
| 7. #11924611 | C22 | semidirect |
| 10. #11924606 | C22 | semidirect |
| 84. C2×C37 | #361 | semidirect |
| 93. C37 | C2×#361 | semidirect |
| 175. C2 | #14558451 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924611 | 2 |
| C2×#11924606 | 2 |
| #14558451 | 2 |
| C2×D8×D37 | 2 |
| C2×#361 | 37 |