Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
512 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 512 conjugacy classes of subgroups — too many to draw. Only its 131 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. #13070335 | C2 | semidirect |
| 4. #13066721 | C2 | semidirect |
| 14. #10622750 | C4 | semidirect |
| 43. C2×Dic44 | C2×C4 | semidirect |
| 49. #66881 | C2×C4 | semidirect |
| 241. C11 | #13000 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10622750 | 2 |
| #13070335 | 2 |
| C2×#10622191 | 2 |
| #13066721 | 2 |
| C11×#2911 | 2 |
| #13000 | 11 |