Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
262 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 105 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 |
|---|---|---|
| 2. #14545848 | C2 | semidirect |
| 3. #14545843 | C2 | semidirect |
| 55. C8×D17 | C16 | semidirect |
| 127. C17 | #12012 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545984 | 2 |
| #14545848 | 2 |
| #14545843 | 2 |
| C8×#63242 | 2 |
| #12012 | 17 |