Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
444 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 133 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. #11926879 | C2 | semidirect |
| 3. #11926824 | C2 | semidirect |
| 4. #11926749 | C2 | semidirect |
| 6. #11926644 | C2 | semidirect |
| 7. #11926601 | C2 | semidirect |
| 23. #10597315 | C22 | semidirect |
| 24. #10597315 | C22 | semidirect |
| 26. C4×Dic38 | C22 | semidirect |
| 29. #10597267 | C22 | semidirect |
| 30. #10597264 | C22 | semidirect |
| 31. C4⋊(C19⋊C8) | C22 | semidirect |
| 32. #10597260 | C22 | semidirect |
| 145. C19 | #3110 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927101 | 2 |
| #11926879 | 2 |
| #11926824 | 2 |
| #11926749 | 2 |
| #11926695 | 2 |
| #11926644 | 2 |
| #11926601 | 2 |
| C2×C4×D4×C19 | 2 |
| #3110 | 19 |