Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
164 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 164 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 |
|---|---|---|
| 1. C2×#10597284 | C2 | semidirect |
| 2. C22×C19⋊C16 | C2 | semidirect |
| 3. #11926785 | C2 | semidirect |
| 4. #11926371 | C2 | semidirect |
| 5. #11926347 | C2 | semidirect |
| 6. #11926345 | C2 | semidirect |
| 39. C19⋊C16 | D4 | semidirect |
| 63. C22×C19 | SD32 | semidirect |
| 96. C19 | #2217 | semidirect |
| 138. C22 | #10597284 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597284 | 2 |
| C22×C19⋊C16 | 2 |
| #11926785 | 2 |
| #11926371 | 2 |
| #11926347 | 2 |
| #11926345 | 2 |
| C19×#466 | 2 |
| #2217 | 19 |