Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
170 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 170 conjugacy classes of subgroups — too many to draw. Only its 45 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. #11926979 | C2 | semidirect |
| 2. #11926919 | C2 | semidirect |
| 3. #11926661 | C2 | semidirect |
| 4. #11926364 | C2 | semidirect |
| 5. #11926358 | C2 | semidirect |
| 6. #11926357 | C2 | semidirect |
| 7. C19×#509 | C2 | semidirect |
| 27. Q16×C19 | D4 | semidirect |
| 31. D8×C19 | D4 | semidirect |
| 74. #509 | D19 | semidirect |
| 100. C19 | #2213 | semidirect |
| 105. Q16 | C22⋊D19 | semidirect |
| 113. D8 | C22⋊D19 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11926979 | 2 |
| #11926919 | 2 |
| #11926661 | 2 |
| #11926364 | 2 |
| #11926358 | 2 |
| #11926357 | 2 |
| C19×#509 | 2 |
| #2213 | 19 |