Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
222 conjugacy classes of subgroups; only the 110 normal subgroups are shown.
This group has 222 conjugacy classes of subgroups — too many to draw. Only its 110 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 |
|---|---|---|
| 3. #14543894 | C2 | semidirect |
| 4. #14543893 | C2 | semidirect |
| 9. #11763741 | C4 | semidirect |
| 10. #11763740 | C4 | semidirect |
| 16. #11762643 | C4 | semidirect |
| 18. C32×D17 | C4 | semidirect |
| 19. C17×M64 | C4 | semidirect |
| 37. #10587467 | C2×C4 | semidirect |
| 38. C17×C32 | C2×C4 | semidirect |
| 39. #10587465 | C2×C4 | semidirect |
| 100. M64 | #595 | semidirect |
| 110. D17 | #1398 | semidirect |
| 130. C32 | C2×#595 | semidirect |
| 131. C17 | C2×#1398 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545205 | 2 |
| C2×#11763696 | 2 |
| #14543894 | 2 |
| #14543893 | 2 |
| D17×M64 | 2 |
| C2×#1398 | 17 |