Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
250 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 250 conjugacy classes of subgroups — too many to draw. Only its 55 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 |
|---|---|---|
| 2. #11926527 | C2 | semidirect |
| 3. #11926343 | C2 | semidirect |
| 4. #11926340 | C2 | semidirect |
| 5. C19×#356 | C2 | semidirect |
| 87. #356 | D19 | semidirect |
| 107. C19 | #2132 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927095 | 2 |
| #11926527 | 2 |
| #11926343 | 2 |
| #11926340 | 2 |
| C19×#356 | 2 |
| #2132 | 19 |