Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
240 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 240 conjugacy classes of subgroups — too many to draw. Only its 71 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 |
|---|---|---|
| 7. #11763914 | C4 | semidirect |
| 8. #11763893 | C4 | semidirect |
| 27. #10587533 | C8 | semidirect |
| 34. C17×#108 | C8 | semidirect |
| 36. #10587490 | C8 | semidirect |
| 125. #108 | #3633 | semidirect |
| 137. C17 | #7181 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763914 | 2 |
| #14545893 | 2 |
| #14544589 | 2 |
| #7181 | 17 |