Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
430 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 430 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 |
|---|---|---|
| 1. #14545981 | C2 | semidirect |
| 2. #14545806 | C2 | semidirect |
| 39. C2×D68 | C16 | semidirect |
| 137. C17 | #11487 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545981 | 2 |
| #14545806 | 2 |
| C2×#11763837 | 2 |
| #11487 | 17 |