Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
384 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 384 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 |
|---|---|---|
| 1. C2×#10587556 | C2 | semidirect |
| 3. #11763117 | C2 | semidirect |
| 4. #11763110 | C2 | semidirect |
| 5. #11762851 | C2 | semidirect |
| 7. C17×#423 | C2 | semidirect |
| 92. #423 | D17 | semidirect |
| 117. C17 | #3080 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10587556 | 2 |
| C4×#63252 | 2 |
| #11763117 | 2 |
| #11763110 | 2 |
| #11762851 | 2 |
| #11762811 | 2 |
| C17×#423 | 2 |
| #3080 | 17 |