Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
402 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 402 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 |
|---|---|---|
| 3. #14526642 | C2 | semidirect |
| 4. #14526617 | C2 | semidirect |
| 5. C17×#2864 | C2 | semidirect |
| 84. #2864 | D17 | semidirect |
| 135. C17 | #10368 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14529612 | 2 |
| #14527343 | 2 |
| #14526642 | 2 |
| #14526617 | 2 |
| C17×#2864 | 2 |
| #10368 | 17 |