Finite Group DatabasebetaFinite Group DatabasebetaOrder 17344.
206 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 206 conjugacy classes of subgroups — too many to draw. Only its 103 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. #22576159 | C2 | semidirect |
| 2. #22576158 | C2 | semidirect |
| 3. #22576150 | C2 | semidirect |
| 4. #22576150 | C2 | semidirect |
| 34. C2×Dic271 | Q8 | semidirect |
| 62. C271 | #544 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22576159 | 2 |
| #22576158 | 2 |
| #22576150 | 2 |
| #22576139 | 2 |
| #22576137 | 2 |
| #22576116 | 2 |
| C2×Dic271⋊C4 | 2 |
| C22⋊Q8×C271 | 2 |
| #544 | 271 |