Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
362 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 115 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. #23752827 | C2 | semidirect |
| 2. #23752609 | C2 | semidirect |
| 3. #23752595 | C2 | semidirect |
| 4. #23752570 | C2 | semidirect |
| 5. #23752471 | C2 | semidirect |
| 7. #23752440 | C2 | semidirect |
| 8. #23752320 | C2 | semidirect |
| 9. C4×#14558992 | C2 | semidirect |
| 10. #23752169 | C2 | semidirect |
| 11. #442×C151 | C2 | semidirect |
| 109. C151 | #3173 | semidirect |
| 118. #442 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752827 | 2 |
| #23752609 | 2 |
| #23752595 | 2 |
| #23752570 | 2 |
| #23752471 | 2 |
| #23752462 | 2 |
| #23752440 | 2 |
| #23752320 | 2 |
| C4×#14558992 | 2 |
| #23752169 | 2 |
| #442×C151 | 2 |
| #3173 | 151 |