Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
382 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 382 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 |
|---|---|---|
| 2. #23752578 | C2 | semidirect |
| 3. #23752560 | C2 | semidirect |
| 4. #23752509 | C2 | semidirect |
| 5. #23752489 | C2 | semidirect |
| 6. #23752412 | C2 | semidirect |
| 7. #23752412 | C2 | semidirect |
| 8. #23752343 | C2 | semidirect |
| 9. #23752310 | C2 | semidirect |
| 10. C4×#14558991 | C2 | semidirect |
| 11. #557×C151 | C2 | semidirect |
| 93. Q8×C151 | #41 | semidirect |
| 124. C151 | #3368 | semidirect |
| 126. #557 | D151 | semidirect |
| 204. Q8 | #14559005 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752884 | 2 |
| #23752578 | 2 |
| #23752560 | 2 |
| #23752509 | 2 |
| #23752489 | 2 |
| #23752412 | 2 |
| #23752343 | 2 |
| #23752310 | 2 |
| C4×#14558991 | 2 |
| #557×C151 | 2 |
| #3368 | 151 |