Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
246 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 246 conjugacy classes of subgroups — too many to draw. Only its 87 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 |
|---|---|---|
| 62. C16×C17 | Q16 | semidirect |
| 63. #63214 | Q16 | semidirect |
| 135. C17 | #12524 | semidirect |
| 155. C16 | #63231 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14531064 | 2 |
| #14531059 | 2 |
| #14531057 | 2 |
| #14528401 | 2 |
| #14528393 | 2 |
| #14526700 | 2 |
| C17×#2254 | 2 |
| #12524 | 17 |