Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
504 conjugacy classes of subgroups; only the 92 normal subgroups are shown.
This group has 504 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 |
|---|---|---|
| 1. #14545013 | C2 | semidirect |
| 2. C2×#11763683 | C2 | semidirect |
| 3. #14543773 | C2 | semidirect |
| 4. #14543771 | C2 | semidirect |
| 12. C2×#10587590 | C4 | semidirect |
| 15. #11763051 | C4 | semidirect |
| 17. #11763046 | C4 | semidirect |
| 22. C17×#427 | C4 | semidirect |
| 33. C2×Dic68 | C2×C4 | semidirect |
| 35. C2×D136 | C2×C4 | semidirect |
| 52. C17×#107 | C2×C4 | semidirect |
| 53. C17×#107 | C2×C4 | semidirect |
| 190. #427 | #595 | semidirect |
| 233. #107 | C2×#595 | semidirect |
| 234. #107 | C2×#595 | semidirect |
| 240. C17 | #11704 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545013 | 2 |
| C2×#11763683 | 2 |
| #14543773 | 2 |
| #14543771 | 2 |
| #14538366 | 2 |
| #11704 | 17 |