Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
404 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 404 conjugacy classes of subgroups — too many to draw. Only its 141 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. #11763212 | C2 | semidirect |
| 3. #11763157 | C2 | semidirect |
| 4. #11763122 | C2 | semidirect |
| 5. #11763086 | C2 | semidirect |
| 6. #11762862 | C2 | semidirect |
| 7. C2×C17×C4⋊Q8 | C2 | semidirect |
| 96. C2×C4⋊Q8 | D17 | semidirect |
| 128. C17 | #3226 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11763359 | 2 |
| #11763212 | 2 |
| #11763157 | 2 |
| #11763122 | 2 |
| #11763086 | 2 |
| #11762862 | 2 |
| C2×C17×C4⋊Q8 | 2 |
| #3226 | 17 |