Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
512 conjugacy classes of subgroups; only the 92 normal subgroups are shown.
This group has 512 conjugacy classes of subgroups — too many to draw. Only its 92 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. #14545094 | C2 | semidirect |
| 4. #14543857 | C2 | semidirect |
| 17. #11763068 | C4 | semidirect |
| 18. #11763067 | C4 | semidirect |
| 21. #11763064 | C4 | semidirect |
| 24. C17×#470 | C4 | semidirect |
| 34. C2×Q16×C17 | C2×C4 | semidirect |
| 45. C2×Dic68 | C2×C4 | semidirect |
| 63. C17×#106 | C2×C4 | semidirect |
| 66. #10587488 | C2×C4 | semidirect |
| 204. #470 | #595 | semidirect |
| 225. C2×Q16 | C2×#595 | semidirect |
| 259. #106 | C2×#595 | semidirect |
| 264. C17 | #13000 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545437 | 2 |
| #14545094 | 2 |
| #14545018 | 2 |
| #14543857 | 2 |
| D17×#470 | 2 |
| #13000 | 17 |