Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
200 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 200 conjugacy classes of subgroups — too many to draw. Only its 83 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 |
|---|---|---|
| 13. #18012672 | C4 | semidirect |
| 14. #18012670 | C4 | semidirect |
| 75. C151 | #1946 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012674 | 2 |
| #23752248 | 2 |
| #23752238 | 2 |
| C2×#18012649 | 2 |
| #23751973 | 2 |
| #23751971 | 2 |
| #424×C151 | 2 |
| #1946 | 151 |