Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
380 conjugacy classes of subgroups; only the 108 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 108 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×#11763731 | C2 | semidirect |
| 2. #14543987 | C2 | semidirect |
| 3. #14543747 | C2 | semidirect |
| 8. #11763731 | C22 | semidirect |
| 10. C8×#3624 | C22 | semidirect |
| 29. C2×Dic68 | C8 | semidirect |
| 32. #10587590 | C8 | semidirect |
| 34. C2×D136 | C8 | semidirect |
| 192. C17 | #11602 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763731 | 2 |
| #14543987 | 2 |
| #14543747 | 2 |
| C2×#11762925 | 2 |
| #11602 | 17 |