Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
1074 conjugacy classes of subgroups; only the 203 normal subgroups are shown.
This group has 1074 conjugacy classes of subgroups — too many to draw. Only its 203 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. C2×#11763188 | C2 | semidirect |
| 3. C2×#11763100 | C2 | semidirect |
| 4. #14527930 | C2 | direct (N × H) |
| 5. C2×#11762536 | C2 | semidirect |
| 6. C2×C17×#333 | C2 | semidirect |
| 17. #11763188 | C22 | semidirect |
| 19. #11763100 | C22 | semidirect |
| 23. #11762536 | C22 | semidirect |
| 26. C17×#333 | C22 | semidirect |
| 141. C2×#333 | D17 | semidirect |
| 176. #333 | C2×D17 | semidirect |
| 178. C2×C17 | #1634 | semidirect |
| 220. C17 | C2×#1634 | semidirect |
| 308. C2 | #14527930 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763525 | 2 |
| C2×#11763188 | 2 |
| C2×#11763100 | 2 |
| #14527930 | 2 |
| C2×#11762536 | 2 |
| C2×C17×#333 | 2 |
| C2×#1634 | 17 |