Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
1450 conjugacy classes of subgroups; only the 363 normal subgroups are shown.
This group has 1450 conjugacy classes of subgroups — too many to draw. Only its 363 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×#11763203 | C2 | semidirect |
| 2. C2×#11763189 | C2 | semidirect |
| 4. #14537182 | C2 | semidirect |
| 6. C4×C17×#97 | C2 | semidirect |
| 44. C17×#97 | D4 | semidirect |
| 98. C4×#97 | D17 | semidirect |
| 106. C4×C17 | #497 | semidirect |
| 151. #97 | D68 | semidirect |
| 153. C17 | #33305 | semidirect |
| 209. C4 | #11763203 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763203 | 2 |
| C2×#11763189 | 2 |
| C2×#11763182 | 2 |
| #14537182 | 2 |
| #14537141 | 2 |
| C4×C17×#97 | 2 |
| #33305 | 17 |