Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
440 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 440 conjugacy classes of subgroups — too many to draw. Only its 75 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 |
|---|---|---|
| 1. #14545899 | C2 | semidirect |
| 2. #14545821 | C2 | semidirect |
| 34. C17×#124 | C8 | semidirect |
| 35. #10587633 | C8 | semidirect |
| 36. #10587622 | C8 | semidirect |
| 39. #10587561 | C8 | semidirect |
| 175. #124 | #3633 | semidirect |
| 195. C17 | #11480 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545899 | 2 |
| #14545821 | 2 |
| #14545811 | 2 |
| #14545274 | 2 |
| #11480 | 17 |