Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
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. #11924753⋊C8 | C2 | semidirect |
| 3. #23750466 | C2 | semidirect |
| 4. C8×#11924753 | C2 | semidirect |
| 32. #11924753 | M16 | semidirect |
| 37. #11924746 | M16 | semidirect |
| 44. C8×C149 | M16 | semidirect |
| 56. C149 | #1455 | semidirect |
| 101. C8 | #14558745 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#14558745 | 2 |
| #11924753⋊C8 | 2 |
| #23750466 | 2 |
| C8×#11924753 | 2 |
| M16×Dic149 | 2 |
| #1455 | 149 |