Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
488 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 141 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. #11927101 | C2 | semidirect |
| 2. #11926916 | C2 | semidirect |
| 3. #11926890 | C2 | semidirect |
| 4. #11926741 | C2 | semidirect |
| 5. #11926695 | C2 | semidirect |
| 6. #11926597 | C2 | semidirect |
| 16. C2×#64526 | C22 | semidirect |
| 21. #10597315 | C22 | semidirect |
| 22. #10597315 | C22 | semidirect |
| 24. C4×Dic38 | C22 | semidirect |
| 25. #10597289 | C22 | semidirect |
| 27. C4⋊(C19⋊C8) | C22 | semidirect |
| 28. C4×C19⋊C8 | C22 | semidirect |
| 71. C2×C4×C19 | SD16 | semidirect |
| 133. C19 | #3208 | semidirect |
| 180. C2×C4 | #64526 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927101 | 2 |
| #11926916 | 2 |
| #11926890 | 2 |
| #11926741 | 2 |
| #11926695 | 2 |
| #11926597 | 2 |
| C2×C19×#127 | 2 |
| #3208 | 19 |