Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
574 conjugacy classes of subgroups; only the 260 normal subgroups are shown.
This group has 574 conjugacy classes of subgroups — too many to draw. Only its 260 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. C8×#3622 | C4 | semidirect |
| 16. C8×#3622 | C4 | semidirect |
| 17. C82×C17 | C4 | semidirect |
| 28. C8×#595 | C8 | semidirect |
| 93. C82 | #595 | semidirect |
| 114. C17 | #7841 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544497 | 2 |
| C4×C8×#595 | 2 |
| #14543980 | 2 |
| C8×#63242 | 2 |
| C82×D17 | 2 |
| #7841 | 17 |