Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
360 conjugacy classes of subgroups; only the 94 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 94 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. C4×#63247 | C2 | semidirect |
| 3. #11763689 | C2 | semidirect |
| 15. #10587553 | C4 | semidirect |
| 35. #63247 | C2×C4 | semidirect |
| 91. Dic17 | #100 | semidirect |
| 117. C17 | C4×#100 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10587553 | 2 |
| C4×#63247 | 2 |
| #11763689 | 2 |
| C2×#10587567 | 2 |
| C4×#100 | 17 |