Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
484 conjugacy classes of subgroups; only the 189 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 189 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. #23752692 | C2 | semidirect |
| 3. #23752325 | C2 | semidirect |
| 4. #23752320 | C2 | semidirect |
| 5. C4×#14558993 | C2 | semidirect |
| 6. C2×#18012671 | C2 | semidirect |
| 7. #23752214 | C2 | semidirect |
| 8. #405×C151 | C2 | semidirect |
| 10. #18012761 | C4 | semidirect |
| 30. #14559004 | C2×C4 | semidirect |
| 37. Dic604 | C2×C4 | semidirect |
| 38. #14558993 | C2×C4 | semidirect |
| 39. D1208 | C2×C4 | semidirect |
| 47. C2×C8×C151 | C2×C4 | semidirect |
| 90. C151 | #2952 | semidirect |
| 99. #405 | D151 | semidirect |
| 133. C2×C8 | C4×D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012761 | 2 |
| #23752692 | 2 |
| #23752325 | 2 |
| #23752320 | 2 |
| C4×#14558993 | 2 |
| C2×#18012671 | 2 |
| #23752214 | 2 |
| #405×C151 | 2 |
| #2952 | 151 |