Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
418 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 418 conjugacy classes of subgroups — too many to draw. Only its 141 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 |
|---|---|---|
| 37. C17×#97 | C8 | semidirect |
| 38. #10587486 | C8 | semidirect |
| 39. #10587474 | C8 | semidirect |
| 90. C8×C17 | C4⋊C8 | semidirect |
| 91. #3622 | C4⋊C8 | semidirect |
| 147. #97 | #3633 | semidirect |
| 150. C17 | #8808 | semidirect |
| 201. C8 | C4⋊#3633 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545928 | 2 |
| #14545926 | 2 |
| C2×#11763899 | 2 |
| C2×#11763898 | 2 |
| #97×#595 | 2 |
| #8808 | 17 |