Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
526 conjugacy classes of subgroups; only the 64 normal subgroups are shown.
This group has 526 conjugacy classes of subgroups — too many to draw. Only its 64 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×#11763714 | C2 | semidirect |
| 2. #14543915 | C2 | direct (N × H) |
| 6. #11763714 | C22 | semidirect |
| 10. #11763185 | C4 | semidirect |
| 12. C2×C4×#3622 | C4 | semidirect |
| 13. C2×C17×#127 | C4 | semidirect |
| 21. C17×#127 | C2×C4 | semidirect |
| 35. C4×#3622 | C2×C4 | semidirect |
| 122. C2×#127 | #595 | semidirect |
| 133. C2×C17 | #1408 | semidirect |
| 152. #127 | C2×#595 | semidirect |
| 159. C17 | C2×#1408 | semidirect |
| 245. C2 | #14543915 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763714 | 2 |
| #14543915 | 2 |
| C2×#11763185 | 2 |
| C2×#1408 | 17 |