Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
444 conjugacy classes of subgroups; only the 124 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 124 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. C2×#11763702 | C2 | semidirect |
| 3. C2×#11763702 | C2 | semidirect |
| 4. #14543834 | C2 | semidirect |
| 8. #11763708 | C4 | semidirect |
| 47. #10587538 | C2×C4 | semidirect |
| 49. C2×#63216 | C2×C4 | semidirect |
| 207. C17 | #12609 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545028 | 2 |
| C2×#11763702 | 2 |
| #14543834 | 2 |
| #14537211 | 2 |
| #12609 | 17 |