Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
994 conjugacy classes of subgroups; only the 216 normal subgroups are shown.
This group has 994 conjugacy classes of subgroups — too many to draw. Only its 216 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×#11763675 | C2 | semidirect |
| 2. #14543601 | C2 | direct (N × H) |
| 6. #11763675 | C22 | semidirect |
| 22. C22×D68 | C8 | semidirect |
| 69. C2×D68 | C2×C8 | semidirect |
| 160. C2×C17 | #1270 | semidirect |
| 192. C17 | C2×#1270 | semidirect |
| 301. C2 | #14543601 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763675 | 2 |
| #14543601 | 2 |
| C2×#11762710 | 2 |
| C2×#1270 | 17 |