Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
284 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 79 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. #23752248 | C2 | semidirect |
| 3. #23752230 | C2 | semidirect |
| 4. #23752229 | C2 | semidirect |
| 5. #23752185 | C2 | semidirect |
| 6. #23752168 | C2 | semidirect |
| 7. #410×C151 | C2 | semidirect |
| 13. C2×#14558994 | C4 | semidirect |
| 14. C2×#14558992 | C4 | semidirect |
| 15. C2×#14558991 | C4 | semidirect |
| 16. C2×#14558989 | C4 | semidirect |
| 132. C151 | #1976 | semidirect |
| 139. #410 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012759 | 2 |
| #23752248 | 2 |
| #23752230 | 2 |
| #23752229 | 2 |
| #23752185 | 2 |
| #23752168 | 2 |
| #410×C151 | 2 |
| #1976 | 151 |