Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
658 conjugacy classes of subgroups; only the 164 normal subgroups are shown.
This group has 658 conjugacy classes of subgroups — too many to draw. Only its 164 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 |
|---|---|---|
| 8. #11763677 | C4 | semidirect |
| 13. C2×#10587486 | C4 | semidirect |
| 14. C2×C4×#3622 | C4 | semidirect |
| 15. C2×C8×Dic17 | C4 | semidirect |
| 16. C2×C17×#97 | C4 | semidirect |
| 138. C2×#97 | #595 | semidirect |
| 177. C17 | #10814 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544483 | 2 |
| #14544470 | 2 |
| C2×#11763677 | 2 |
| C2×#11762766 | 2 |
| #10814 | 17 |