Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
414 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 414 conjugacy classes of subgroups — too many to draw. Only its 103 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 |
|---|---|---|
| 57. C17×#103 | C8 | semidirect |
| 58. #10587506 | C8 | semidirect |
| 59. #10587487 | C8 | semidirect |
| 60. #10587481 | C8 | semidirect |
| 242. #103 | #3633 | semidirect |
| 250. C17 | #9553 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| (C2×#3633)⋊Q8 | 2 |
| #14545933 | 2 |
| C2×Q8⋊#3633 | 2 |
| C2×C8×#3633 | 2 |
| #14545792 | 2 |
| #14545790 | 2 |
| #103×#595 | 2 |
| #9553 | 17 |