Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
260 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 260 conjugacy classes of subgroups — too many to draw. Only its 57 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. #101×D19 | C2 | semidirect |
| 3. #11926341 | C2 | semidirect |
| 4. #11926340 | C2 | semidirect |
| 5. C19×#355 | C2 | semidirect |
| 16. C19×#101 | C22 | semidirect |
| 17. #10597293 | C22 | semidirect |
| 90. #355 | D19 | direct (N × H) |
| 96. D19 | #355 | direct (N × H) |
| 109. #101 | C2×D19 | semidirect |
| 110. C19 | C2×#355 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #124×D19 | 2 |
| #101×D19 | 2 |
| #11926341 | 2 |
| #11926340 | 2 |
| C19×#355 | 2 |
| C2×#355 | 19 |