Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
582 conjugacy classes of subgroups; only the 244 normal subgroups are shown.
This group has 582 conjugacy classes of subgroups — too many to draw. Only its 244 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. #11763651 | C4 | semidirect |
| 12. C8×#3624 | C4 | semidirect |
| 15. #11762531 | C4 | semidirect |
| 16. #11762530 | C4 | semidirect |
| 17. C17×#322 | C4 | semidirect |
| 65. #3624 | #97 | semidirect |
| 67. C8×C17 | #97 | semidirect |
| 69. #3622 | #97 | semidirect |
| 93. #322 | #595 | semidirect |
| 116. C17 | #7846 | semidirect |
| 149. C8 | #10587532 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#10587532 | 2 |
| #14543980 | 2 |
| C8×#63242 | 2 |
| D17×#322 | 2 |
| #7846 | 17 |