Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
250 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 250 conjugacy classes of subgroups — too many to draw. Only its 79 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. C2×#11762647 | C2 | semidirect |
| 2. #14531037 | C2 | semidirect |
| 3. C4×#10587465 | C2 | semidirect |
| 27. #10587465 | D4 | semidirect |
| 63. C4×C17 | SD64 | semidirect |
| 93. C17 | #13727 | semidirect |
| 125. C4 | #11762647 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11762647 | 2 |
| #14531037 | 2 |
| C4×#10587465 | 2 |
| C17×#2246 | 2 |
| #13727 | 17 |