Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
176 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 176 conjugacy classes of subgroups — too many to draw. Only its 51 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. #11926891 | C2 | semidirect |
| 2. #11926750 | C2 | semidirect |
| 4. #11926623 | C2 | semidirect |
| 5. #11926291 | C2 | semidirect |
| 6. #11926287 | C2 | semidirect |
| 7. C19×#334 | C2 | semidirect |
| 84. #334 | D19 | semidirect |
| 107. C19 | #1701 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11926891 | 2 |
| #11926750 | 2 |
| #11926740 | 2 |
| #11926623 | 2 |
| #11926291 | 2 |
| #11926287 | 2 |
| C19×#334 | 2 |
| #1701 | 19 |