Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
532 conjugacy classes of subgroups; only the 106 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 106 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. C4×#10587545 | C2 | semidirect |
| 3. #14543881 | C2 | semidirect |
| 7. #11763718 | C4 | direct (N × H) |
| 41. #10587545 | C2×C4 | semidirect |
| 140. C4×C17 | #355 | semidirect |
| 191. C17 | C4×#355 | semidirect |
| 284. C4 | #11763718 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763718 | 2 |
| C4×#10587545 | 2 |
| #14543881 | 2 |
| C4×#10587561 | 2 |
| C4×#355 | 17 |