Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
532 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 532 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. #11927094 | C2 | semidirect |
| 2. #11926920 | C2 | semidirect |
| 3. #11926890 | C2 | semidirect |
| 4. #11926736 | C2 | semidirect |
| 5. #11926678 | C2 | semidirect |
| 6. #11926597 | C2 | semidirect |
| 7. C2×C19×#127 | C2 | semidirect |
| 17. C2×#64525 | C22 | semidirect |
| 21. #10597320 | C22 | semidirect |
| 23. C4×D76 | C22 | semidirect |
| 24. #10597315 | C22 | semidirect |
| 25. #10597289 | C22 | semidirect |
| 27. C4⋊(C19⋊C8) | C22 | semidirect |
| 28. C4×C19⋊C8 | C22 | semidirect |
| 73. C2×C4×C19 | D8 | semidirect |
| 108. C2×#127 | D19 | semidirect |
| 141. C19 | #3205 | semidirect |
| 193. C2×C4 | #64525 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927094 | 2 |
| #11926920 | 2 |
| #11926890 | 2 |
| #11926736 | 2 |
| #11926678 | 2 |
| #11926597 | 2 |
| C2×C19×#127 | 2 |
| #3205 | 19 |