Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
386 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 125 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 |
|---|---|---|
| 3. #23752552 | C2 | semidirect |
| 4. #23752551 | C2 | semidirect |
| 5. #23752546 | C2 | semidirect |
| 6. #23752541 | C2 | semidirect |
| 7. #23752254 | C2 | semidirect |
| 8. #23752248 | C2 | semidirect |
| 9. C2×#18012663 | C2 | semidirect |
| 11. #419×C151 | C2 | semidirect |
| 126. C151 | #3097 | semidirect |
| 136. #419 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752786 | 2 |
| #23752692 | 2 |
| #23752552 | 2 |
| #23752551 | 2 |
| #23752546 | 2 |
| #23752541 | 2 |
| #23752254 | 2 |
| #23752248 | 2 |
| C2×#18012663 | 2 |
| #23752180 | 2 |
| #419×C151 | 2 |
| #3097 | 151 |