Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
400 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 133 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. #11927101 | C2 | semidirect |
| 3. #11926904 | C2 | semidirect |
| 4. #11926899 | C2 | semidirect |
| 5. #11926554 | C2 | semidirect |
| 7. C4×M16×C19 | C2 | semidirect |
| 18. #10597316 | C22 | semidirect |
| 19. #10597315 | C22 | semidirect |
| 21. C19×#97 | C22 | semidirect |
| 22. C4×C8×C19 | C22 | semidirect |
| 24. #10597273 | C22 | semidirect |
| 86. C4×M16 | D19 | semidirect |
| 106. #97 | C2×D19 | semidirect |
| 107. C4×C8 | C2×D19 | semidirect |
| 108. C19 | #3140 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927101 | 2 |
| C2×#10597321 | 2 |
| #11926904 | 2 |
| #11926899 | 2 |
| #11926554 | 2 |
| #11926550 | 2 |
| C4×M16×C19 | 2 |
| #3140 | 19 |