Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
214 conjugacy classes of subgroups; only the 92 normal subgroups are shown.
This group has 214 conjugacy classes of subgroups — too many to draw. Only its 92 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. #11717581⋊C8 | C2 | semidirect |
| 3. #20266018 | C2 | semidirect |
| 4. C8×#11717581 | C2 | semidirect |
| 40. #11717581 | M16 | semidirect |
| 42. C8×C101 | M16 | semidirect |
| 44. #11717579 | M16 | semidirect |
| 57. C101 | #1455 | semidirect |
| 101. C8 | #13108084 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#13108084 | 2 |
| #11717581⋊C8 | 2 |
| #20266018 | 2 |
| C8×#11717581 | 2 |
| #20265129 | 2 |
| #1455 | 101 |