Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
158 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 158 conjugacy classes of subgroups — too many to draw. Only its 67 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 |
|---|---|---|
| 4. #11926296 | C2 | semidirect |
| 5. #11926295 | C2 | semidirect |
| 6. #11926294 | C2 | semidirect |
| 7. C19×#335 | C2 | semidirect |
| 76. #335 | D19 | semidirect |
| 98. C19 | #1574 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11926596 | 2 |
| #11926595 | 2 |
| #11926566 | 2 |
| #11926296 | 2 |
| #11926295 | 2 |
| #11926294 | 2 |
| C19×#335 | 2 |
| #1574 | 19 |