Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
250 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 250 conjugacy classes of subgroups — too many to draw. Only its 98 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. #14543702 | C2 | semidirect |
| 4. #14543702 | C2 | semidirect |
| 5. #14543702 | C2 | semidirect |
| 6. #14543702 | C2 | semidirect |
| 64. #63216 | M16 | semidirect |
| 142. C17 | #11413 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545147 | 2 |
| #14544985 | 2 |
| #14543702 | 2 |
| #14527072 | 2 |
| #11413 | 17 |