Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
258 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 258 conjugacy classes of subgroups — too many to draw. Only its 73 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. #11763913 | C4 | semidirect |
| 9. #11763893 | C4 | semidirect |
| 26. #10587534 | C8 | semidirect |
| 34. C17×#108 | C8 | semidirect |
| 36. #10587490 | C8 | semidirect |
| 127. #108 | #3633 | semidirect |
| 138. C17 | #7182 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545978 | 2 |
| C2×#11763893 | 2 |
| #14544589 | 2 |
| #7182 | 17 |