Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
1050 conjugacy classes of subgroups; only the 184 normal subgroups are shown.
This group has 1050 conjugacy classes of subgroups — too many to draw. Only its 184 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. #14545276 | C2 | semidirect |
| 2. #14544916 | C2 | semidirect |
| 3. #14544779 | C2 | semidirect |
| 4. #14544706 | C2 | semidirect |
| 5. #14544502 | C2 | semidirect |
| 18. #11763186 | C4 | semidirect |
| 19. #11763185 | C4 | semidirect |
| 20. #11763184 | C4 | semidirect |
| 22. C17×#493 | C4 | semidirect |
| 32. C2×D8×C17 | C2×C4 | semidirect |
| 33. C17×#127 | C2×C4 | semidirect |
| 35. #10587626 | C2×C4 | semidirect |
| 36. C2×#63228 | C2×C4 | semidirect |
| 38. C2×D136 | C2×C4 | semidirect |
| 40. #10587560 | C2×C4 | semidirect |
| 46. C4×C8×C17 | C2×C4 | semidirect |
| 47. C8×Dic17 | C2×C4 | semidirect |
| 48. C4×#3622 | C2×C4 | semidirect |
| 136. #493 | #595 | semidirect |
| 157. C2×D8 | C2×#595 | semidirect |
| 163. #127 | C2×#595 | semidirect |
| 174. C4×C8 | C2×#595 | semidirect |
| 177. C17 | #22276 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545276 | 2 |
| #14544916 | 2 |
| #14544779 | 2 |
| #14544706 | 2 |
| #14544502 | 2 |
| D17×#493 | 2 |
| #22276 | 17 |