Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
408 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 408 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 |
|---|---|---|
| 1. #23752762 | C2 | semidirect |
| 2. #23752746 | C2 | semidirect |
| 3. #23752621 | C2 | semidirect |
| 4. #23752601 | C2 | semidirect |
| 5. #23752577 | C2 | semidirect |
| 6. #23752572 | C2 | semidirect |
| 7. #23752465 | C2 | semidirect |
| 8. #23752458 | C2 | semidirect |
| 9. C4×#14558993 | C2 | semidirect |
| 10. C4×D1208 | C2 | semidirect |
| 11. C4×M16×C151 | C2 | semidirect |
| 110. C8×C151 | #41 | semidirect |
| 137. C151 | #3171 | semidirect |
| 149. C4×M16 | D151 | semidirect |
| 248. C8 | #14559004 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752762 | 2 |
| #23752746 | 2 |
| #23752621 | 2 |
| #23752601 | 2 |
| #23752577 | 2 |
| #23752572 | 2 |
| #23752465 | 2 |
| #23752458 | 2 |
| C4×#14558993 | 2 |
| C4×D1208 | 2 |
| C4×M16×C151 | 2 |
| #3171 | 151 |