Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
470 conjugacy classes of subgroups; only the 144 normal subgroups are shown.
This group has 470 conjugacy classes of subgroups — too many to draw. Only its 144 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×#11763695 | C2 | semidirect |
| 2. C2×#11763672 | C2 | semidirect |
| 3. #14543738 | C2 | direct (N × H) |
| 8. #11763695 | C22 | semidirect |
| 10. #11763672 | C22 | semidirect |
| 25. C2×D8×C17 | C8 | semidirect |
| 65. D8×C17 | C2×C8 | semidirect |
| 150. C2×C17 | #1331 | semidirect |
| 158. C2×D8 | #3624 | semidirect |
| 182. C17 | C2×#1331 | semidirect |
| 198. D8 | C2×#3624 | semidirect |
| 265. C2 | #14543738 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763695 | 2 |
| C2×#11763672 | 2 |
| #14543738 | 2 |
| C2×D8×Dic17 | 2 |
| C2×#1331 | 17 |