Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
570 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 570 conjugacy classes of subgroups — too many to draw. Only its 103 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. #14539912 | C2 | semidirect |
| 2. #14539709 | C2 | semidirect |
| 4. #14527343 | C2 | semidirect |
| 5. #14527343 | C2 | semidirect |
| 6. #14526629 | C2 | semidirect |
| 7. C17×#1993 | C2 | semidirect |
| 103. C2×C8×C17 | SD16 | semidirect |
| 171. #1993 | D17 | semidirect |
| 272. C17 | #10221 | semidirect |
| 306. C2×C8 | #63230 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539912 | 2 |
| #14539709 | 2 |
| #14539230 | 2 |
| #14527343 | 2 |
| #14526629 | 2 |
| C17×#1993 | 2 |
| #10221 | 17 |