Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
438 conjugacy classes of subgroups; only the 118 normal subgroups are shown.
This group has 438 conjugacy classes of subgroups — too many to draw. Only its 118 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. C2×#11763735 | C2 | semidirect |
| 3. #14543842 | C2 | semidirect |
| 10. C22×#63214 | C4 | semidirect |
| 12. C2×C16×D17 | C4 | semidirect |
| 13. C2×C16×D17 | C4 | semidirect |
| 16. C22×C16×C17 | C4 | semidirect |
| 68. C16×C17 | C22⋊C4 | semidirect |
| 70. #63214 | C22⋊C4 | semidirect |
| 106. C22×C17 | #366 | semidirect |
| 112. C2×D17 | #366 | semidirect |
| 130. C22×C16 | #595 | semidirect |
| 166. C17 | #12834 | semidirect |
| 196. C16 | C22⋊#595 | semidirect |
| 236. C22 | #11763735 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763735 | 2 |
| #14544661 | 2 |
| #14543842 | 2 |
| C22×C16×D17 | 2 |
| #12834 | 17 |