Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
688 conjugacy classes of subgroups; only the 124 normal subgroups are shown.
This group has 688 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 |
|---|---|---|
| 1. C2×#11763831 | C2 | semidirect |
| 2. C4×#10587543 | C2 | semidirect |
| 3. C2×#11763657 | C2 | semidirect |
| 4. #14543620 | C2 | semidirect |
| 58. C4⋊#3624 | D4 | semidirect |
| 281. C17 | #8943 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763831 | 2 |
| C4×#10587543 | 2 |
| C2×#11763657 | 2 |
| #14543620 | 2 |
| #14531292 | 2 |
| #8943 | 17 |