Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
286 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 286 conjugacy classes of subgroups — too many to draw. Only its 65 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. C2×#18012654 | C2 | semidirect |
| 3. #23752006 | C2 | semidirect |
| 4. #23752004 | C2 | semidirect |
| 5. C2×#99×C151 | C2 | semidirect |
| 6. C2×#14559004 | C4 | semidirect |
| 7. #18012735 | C4 | semidirect |
| 9. #18012726 | C4 | semidirect |
| 15. #18012698 | C4 | semidirect |
| 25. C2×Dic302 | C2×C4 | semidirect |
| 26. C2×D604 | C2×C4 | semidirect |
| 42. C4×Dic151 | C2×C4 | semidirect |
| 43. C4×Dic151 | C2×C4 | semidirect |
| 127. C151 | #2127 | semidirect |
| 131. C2×#99 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752779 | 2 |
| C2×#18012654 | 2 |
| #23752006 | 2 |
| #23752004 | 2 |
| C2×#99×C151 | 2 |
| #2127 | 151 |