Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
262 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 75 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 |
|---|---|---|
| 6. #11763904 | C4 | semidirect |
| 8. #11763899 | C4 | semidirect |
| 29. #10587533 | C8 | semidirect |
| 34. C17×#106 | C8 | semidirect |
| 35. #10587488 | C8 | semidirect |
| 140. #106 | #3633 | semidirect |
| 149. C17 | #7175 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #595⋊M32 | 2 |
| #14545908 | 2 |
| #106×#595 | 2 |
| #7175 | 17 |