Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
398 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 117 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 |
|---|---|---|
| 39. C17×#107 | C8 | semidirect |
| 40. #10587489 | C8 | semidirect |
| 41. #10587478 | C8 | semidirect |
| 107. C8×C17 | C4⋊C8 | semidirect |
| 108. #3622 | C4⋊C8 | semidirect |
| 166. #107 | #3633 | semidirect |
| 177. C17 | #9594 | semidirect |
| 243. C8 | C4⋊#3633 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545933 | 2 |
| C2×#11763899 | 2 |
| C2×C8×#3633 | 2 |
| #14545792 | 2 |
| #107×#595 | 2 |
| #9594 | 17 |