Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
382 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 382 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
|---|---|---|
| 39. C17×#106 | C8 | semidirect |
| 40. #10587488 | C8 | semidirect |
| 41. #10587479 | C8 | semidirect |
| 101. C8×C17 | C4⋊C8 | semidirect |
| 102. #3622 | C4⋊C8 | semidirect |
| 155. #106 | #3633 | semidirect |
| 166. C17 | #9596 | semidirect |
| 226. C8 | C4⋊#3633 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545933 | 2 |
| C2×#11763899 | 2 |
| C2×#11763893 | 2 |
| #14545792 | 2 |
| #106×#595 | 2 |
| #9596 | 17 |