Finite Group DatabasebetaFinite Group DatabasebetaOrder 17536.
200 conjugacy classes of subgroups; only the 46 normal subgroups are shown.
This group has 200 conjugacy classes of subgroups — too many to draw. Only its 46 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 |
|---|---|---|
| 5. C2×#14555519 | C4 | semidirect |
| 9. C22⋊#11764047 | C4 | semidirect |
| 83. C137 | #1305 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22578373 | 2 |
| #22577261 | 2 |
| #1305 | 137 |