Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
532 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 99 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×#11763081 | C2 | semidirect |
| 3. C2×#11762616 | C2 | semidirect |
| 4. C2×#11762613 | C2 | semidirect |
| 5. C2×#11762594 | C2 | semidirect |
| 6. #14526893 | C2 | semidirect |
| 7. C2×C17×#510 | C2 | semidirect |
| 44. C2×Q16×C17 | D4 | semidirect |
| 69. C17×M32 | D4 | semidirect |
| 75. #10587490 | D4 | semidirect |
| 186. C2×#510 | D17 | semidirect |
| 258. C2×Q16 | C22⋊D17 | semidirect |
| 280. M32 | C22⋊D17 | semidirect |
| 292. C17 | #13308 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763081 | 2 |
| #14538450 | 2 |
| C2×#11762616 | 2 |
| C2×#11762613 | 2 |
| C2×#11762594 | 2 |
| #14526893 | 2 |
| C2×C17×#510 | 2 |
| #13308 | 17 |