Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
922 conjugacy classes of subgroups; only the 188 normal subgroups are shown.
This group has 922 conjugacy classes of subgroups — too many to draw. Only its 188 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. #14543612 | C2 | semidirect |
| 4. #11763831 | C4 | semidirect |
| 8. #11763813 | C4 | semidirect |
| 42. C4⋊#3624 | C2×C4 | semidirect |
| 69. C42×C17 | M16 | semidirect |
| 78. C4×Dic17 | M16 | semidirect |
| 176. C17 | #7867 | semidirect |
| 211. C42 | #63243 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545461 | 2 |
| #14543612 | 2 |
| C43×D17 | 2 |
| #7867 | 17 |