Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
654 conjugacy classes of subgroups; only the 308 normal subgroups are shown.
This group has 654 conjugacy classes of subgroups — too many to draw. Only its 308 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. #11763650 | C4 | semidirect |
| 15. #11762531 | C4 | semidirect |
| 16. #11762530 | C4 | semidirect |
| 17. C17×#322 | C4 | semidirect |
| 29. C8×#595 | C8 | semidirect |
| 65. #3624 | C4×C8 | semidirect |
| 67. C8×C17 | C4×C8 | semidirect |
| 69. #3622 | C4×C8 | semidirect |
| 78. #595 | #322 | direct (N × H) |
| 94. #322 | #595 | direct (N × H) |
| 116. C17 | C4×#322 | semidirect |
| 149. C8 | C8×#595 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×C8×#595 | 2 |
| #14543980 | 2 |
| #14543978 | 2 |
| D17×#322 | 2 |
| C4×#322 | 17 |