Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
662 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 662 conjugacy classes of subgroups — too many to draw. Only its 119 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. C22×#10587471 | C2 | semidirect |
| 2. C22×#10587498 | C2 | semidirect |
| 4. C2×#11762609 | C2 | semidirect |
| 5. #14529643 | C2 | semidirect |
| 6. #14526861 | C2 | semidirect |
| 7. C2×C17×#357 | C2 | semidirect |
| 53. C2×Dic68 | D4 | semidirect |
| 62. C2×C16×C17 | D4 | semidirect |
| 71. C2×#63214 | D4 | semidirect |
| 159. C2×Dic17 | SD32 | semidirect |
| 177. C2×#357 | D17 | semidirect |
| 268. C2×C16 | C22⋊D17 | semidirect |
| 275. C17 | #13328 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#10587471 | 2 |
| C22×#10587498 | 2 |
| C2×#11763184 | 2 |
| C2×#11762609 | 2 |
| #14529643 | 2 |
| #14526861 | 2 |
| C2×C17×#357 | 2 |
| #13328 | 17 |