Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
492 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 149 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. C22×#64528 | C2 | semidirect |
| 5. #11926801 | C2 | direct (N × H) |
| 6. C2×#10597265 | C2 | semidirect |
| 7. C2×#10597273 | C2 | semidirect |
| 8. C2×C19×#103 | C2 | semidirect |
| 17. C2×#64528 | C22 | semidirect |
| 28. C19×#103 | C22 | semidirect |
| 29. #10597273 | C22 | semidirect |
| 30. #10597265 | C22 | semidirect |
| 118. C2×#103 | D19 | semidirect |
| 119. C2×C19 | #470 | semidirect |
| 145. #103 | C2×D19 | semidirect |
| 146. C19 | C2×#470 | semidirect |
| 227. C2 | #11926801 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#64528 | 2 |
| C22×#64515 | 2 |
| C2×#10597343 | 2 |
| C2×#10597392 | 2 |
| #11926801 | 2 |
| C2×#10597265 | 2 |
| C2×#10597273 | 2 |
| C2×C19×#103 | 2 |
| C2×#470 | 19 |