Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
390 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 85 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. C2×M16×D19 | C2 | semidirect |
| 3. C2×#10597280 | C2 | semidirect |
| 4. C2×#10597280 | C2 | semidirect |
| 5. #11926507 | C2 | semidirect |
| 6. #11926313 | C2 | semidirect |
| 7. C19×#343 | C2 | semidirect |
| 54. M16×C19 | D4 | semidirect |
| 64. #64520 | D4 | semidirect |
| 129. C2×D19 | #100 | semidirect |
| 143. #343 | D19 | semidirect |
| 173. C19 | #1900 | semidirect |
| 204. M16 | D76 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×M16×D19 | 2 |
| C2×#10597341 | 2 |
| C2×#10597280 | 2 |
| #11926507 | 2 |
| #11926313 | 2 |
| C19×#343 | 2 |
| #1900 | 19 |