Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
226 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 226 conjugacy classes of subgroups — too many to draw. Only its 90 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 |
|---|---|---|
| 3. #14543809 | C2 | semidirect |
| 4. #14543808 | C2 | semidirect |
| 52. C16×C17 | M16 | semidirect |
| 122. C17 | #12019 | semidirect |
| 141. C16 | #63243 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544345 | 2 |
| #14544339 | 2 |
| #14543809 | 2 |
| #14543808 | 2 |
| D17×#346 | 2 |
| #12019 | 17 |