Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
1318 conjugacy classes of subgroups; only the 196 normal subgroups are shown.
This group has 1318 conjugacy classes of subgroups — too many to draw. Only its 196 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. #14543622 | C2 | semidirect |
| 6. #11763780 | C4 | semidirect |
| 37. C22⋊#3624 | C2×C4 | semidirect |
| 60. C22×C4×C17 | M16 | semidirect |
| 66. C22×Dic17 | M16 | semidirect |
| 233. C17 | #7909 | semidirect |
| 276. C22×C4 | #63243 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763780 | 2 |
| #14543622 | 2 |
| C2×#95×D17 | 2 |
| #7909 | 17 |