Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
476 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 476 conjugacy classes of subgroups — too many to draw. Only its 115 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 |
|---|---|---|
| 42. C17×#125 | C8 | semidirect |
| 47. #10587576 | C8 | semidirect |
| 48. #10587576 | C8 | semidirect |
| 52. #10587556 | C8 | semidirect |
| 214. #125 | #3633 | semidirect |
| 243. C17 | #9866 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×C4⋊#3633 | 2 |
| #14545792 | 2 |
| #125×#595 | 2 |
| #9866 | 17 |