Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
390 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 129 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. #23752550 | C2 | semidirect |
| 3. #23752494 | C2 | semidirect |
| 4. #23752489 | C2 | semidirect |
| 5. #23752419 | C2 | semidirect |
| 6. #23752414 | C2 | semidirect |
| 8. C4×#14558994 | C2 | semidirect |
| 9. C4×#14558991 | C2 | semidirect |
| 10. #23752265 | C2 | semidirect |
| 11. #533×C151 | C2 | semidirect |
| 136. C151 | #3107 | semidirect |
| 138. #533 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#14559004 | 2 |
| #23752550 | 2 |
| #23752494 | 2 |
| #23752489 | 2 |
| #23752419 | 2 |
| #23752414 | 2 |
| #23752372 | 2 |
| C4×#14558994 | 2 |
| C4×#14558991 | 2 |
| #23752265 | 2 |
| #533×C151 | 2 |
| #3107 | 151 |