Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
284 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 55 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. #14531104 | C2 | semidirect |
| 3. C2×#11762647 | C2 | semidirect |
| 4. #14530910 | C2 | semidirect |
| 5. #14526967 | C2 | semidirect |
| 6. #14526927 | C2 | semidirect |
| 7. C17×#1419 | C2 | semidirect |
| 13. C2×Dic136 | C22 | semidirect |
| 20. C2×#10587465 | C22 | semidirect |
| 23. C17×M64 | C22 | semidirect |
| 24. C17×#368 | C22 | semidirect |
| 108. #1419 | D17 | semidirect |
| 135. M64 | C2×D17 | semidirect |
| 137. #368 | C2×D17 | semidirect |
| 171. C17 | #13671 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14541921 | 2 |
| #14531104 | 2 |
| C2×#11762647 | 2 |
| #14530910 | 2 |
| #14526967 | 2 |
| #14526927 | 2 |
| C17×#1419 | 2 |
| #13671 | 17 |