Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
286 conjugacy classes of subgroups; only the 128 normal subgroups are shown.
This group has 286 conjugacy classes of subgroups — too many to draw. Only its 128 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 |
|---|---|---|
| 2. #14543807 | C2 | semidirect |
| 3. #14543806 | C2 | semidirect |
| 54. C8×D17 | C16 | semidirect |
| 74. C8×C17 | C2×C16 | semidirect |
| 78. #3622 | C2×C16 | semidirect |
| 109. D17 | #1367 | semidirect |
| 129. C17 | C2×#1367 | semidirect |
| 173. C8 | #10587529 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545114 | 2 |
| #14543807 | 2 |
| #14543806 | 2 |
| C82×D17 | 2 |
| C2×#1367 | 17 |