Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
674 conjugacy classes of subgroups; only the 221 normal subgroups are shown.
This group has 674 conjugacy classes of subgroups — too many to draw. Only its 221 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×#11763931 | C2 | semidirect |
| 2. #14545995 | C2 | semidirect |
| 3. #14545974 | C2 | semidirect |
| 4. #14545956 | C2 | semidirect |
| 5. #14545940 | C2 | semidirect |
| 38. #10587665 | D4 | semidirect |
| 162. C17 | #33435 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763931 | 2 |
| #14545995 | 2 |
| #14545974 | 2 |
| #14545956 | 2 |
| #14545940 | 2 |
| #14545509 | 2 |
| #33435 | 17 |