Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
528 conjugacy classes of subgroups; only the 94 normal subgroups are shown.
This group has 528 conjugacy classes of subgroups — too many to draw. Only its 94 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×#11763819 | C2 | semidirect |
| 2. C2×#11763726 | C2 | semidirect |
| 3. #14545012 | C2 | semidirect |
| 4. #14543855 | C2 | semidirect |
| 17. #11763047 | C4 | semidirect |
| 18. #11763046 | C4 | semidirect |
| 19. #11763045 | C4 | semidirect |
| 24. C17×#467 | C4 | semidirect |
| 57. #10587533 | D4 | semidirect |
| 203. #467 | #595 | semidirect |
| 266. C17 | #13002 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763819 | 2 |
| C2×#11763726 | 2 |
| #14545012 | 2 |
| #14543855 | 2 |
| #14538367 | 2 |
| #13002 | 17 |