Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
446 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 446 conjugacy classes of subgroups — too many to draw. Only its 119 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. #23752759 | C2 | semidirect |
| 2. #23752609 | C2 | semidirect |
| 3. #23752587 | C2 | semidirect |
| 4. #23752557 | C2 | semidirect |
| 5. #23752466 | C2 | semidirect |
| 6. #23752464 | C2 | semidirect |
| 7. #23752462 | C2 | semidirect |
| 8. #23752325 | C2 | semidirect |
| 9. #23752322 | C2 | semidirect |
| 10. #23752164 | C2 | semidirect |
| 11. #442×C151 | C2 | semidirect |
| 87. C151⋊C8 | #41 | semidirect |
| 96. C8×C151 | #41 | semidirect |
| 118. C151 | #3184 | semidirect |
| 129. #442 | D151 | semidirect |
| 215. C8 | #14559004 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752759 | 2 |
| #23752609 | 2 |
| #23752587 | 2 |
| #23752557 | 2 |
| #23752466 | 2 |
| #23752464 | 2 |
| #23752462 | 2 |
| #23752325 | 2 |
| #23752322 | 2 |
| #23752164 | 2 |
| #442×C151 | 2 |
| #3184 | 151 |