Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
306 conjugacy classes of subgroups; only the 153 normal subgroups are shown.
This group has 306 conjugacy classes of subgroups — too many to draw. Only its 153 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. #14545801 | C2 | semidirect |
| 3. C8×#63241 | C2 | semidirect |
| 41. C2×C8×C17 | C16 | semidirect |
| 48. C2×#3622 | C16 | semidirect |
| 116. C17 | #11410 | semidirect |
| 129. C2×C8 | #63241 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545981 | 2 |
| #14545801 | 2 |
| C8×#63241 | 2 |
| C2×C8×#3624 | 2 |
| #11410 | 17 |