Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
362 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 123 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 |
|---|---|---|
| 1. #23752947 | C2 | semidirect |
| 2. #23752922 | C2 | semidirect |
| 3. #23752567 | C2 | semidirect |
| 4. #23752559 | C2 | semidirect |
| 5. #23752513 | C2 | semidirect |
| 6. #23752508 | C2 | semidirect |
| 7. #23752428 | C2 | semidirect |
| 9. C4×#14558993 | C2 | semidirect |
| 10. C4×D1208 | C2 | semidirect |
| 11. C8×Q8×C151 | C2 | semidirect |
| 122. C151 | #3361 | semidirect |
| 132. C8×Q8 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752947 | 2 |
| #23752922 | 2 |
| #23752567 | 2 |
| #23752559 | 2 |
| #23752513 | 2 |
| #23752508 | 2 |
| #23752428 | 2 |
| #23752408 | 2 |
| C4×#14558993 | 2 |
| C4×D1208 | 2 |
| C8×Q8×C151 | 2 |
| #3361 | 151 |