Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
560 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 560 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 4. C2×C4⋊#3633 | C4 | semidirect |
| 9. (C2×#3633)⋊C4 | C4 | semidirect |
| 39. (C2×#595)⋊C4 | C8 | semidirect |
| 40. C17×#95 | C8 | semidirect |
| 42. #10587502 | C8 | semidirect |
| 244. #95 | #3633 | semidirect |
| 245. C17 | #7028 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545924 | 2 |
| C4×C22⋊#3633 | 2 |
| #95×#595 | 2 |
| #7028 | 17 |