Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
364 conjugacy classes of subgroups; only the 189 normal subgroups are shown.
This group has 364 conjugacy classes of subgroups — too many to draw. Only its 189 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. #11762936 | C2 | semidirect |
| 3. #11762933 | C2 | semidirect |
| 37. C2×#3622 | Q8 | semidirect |
| 90. C17 | #2960 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11763366 | 2 |
| #11762936 | 2 |
| #11762933 | 2 |
| #11762837 | 2 |
| #11762767 | 2 |
| C2×C4×#3622 | 2 |
| C17×#423 | 2 |
| #2960 | 17 |