Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
430 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 430 conjugacy classes of subgroups — too many to draw. Only its 141 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 |
|---|---|---|
| 11. #11763899 | C4 | semidirect |
| 12. #11763893 | C4 | semidirect |
| 35. #10587533 | C8 | semidirect |
| 38. C17×#106 | C8 | semidirect |
| 39. #10587488 | C8 | semidirect |
| 40. #10587479 | C8 | semidirect |
| 98. C8×C17 | C4×C8 | semidirect |
| 99. #3622 | C4×C8 | semidirect |
| 151. #106 | #3633 | semidirect |
| 162. C17 | #8285 | semidirect |
| 220. C8 | C4×#3633 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4⋊C4×#3633 | 2 |
| C2×#11763899 | 2 |
| C2×#11763893 | 2 |
| #14545792 | 2 |
| #106×#595 | 2 |
| #8285 | 17 |