Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
738 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 738 conjugacy classes of subgroups — too many to draw. Only its 157 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. C23×Dic38 | C2 | semidirect |
| 2. C2×#10597397 | C2 | semidirect |
| 3. #11926699 | C2 | semidirect |
| 4. #11926682 | C2 | semidirect |
| 5. #11926552 | C2 | semidirect |
| 6. #11926508 | C2 | semidirect |
| 23. C2×#64528 | C22 | semidirect |
| 24. C2×#64526 | C22 | semidirect |
| 27. #10597267 | C22 | semidirect |
| 49. C2×Dic38 | D4 | semidirect |
| 96. C22×C19 | #137 | semidirect |
| 136. C19 | #3004 | semidirect |
| 204. C22 | #10597397 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×Dic38 | 2 |
| C2×#10597397 | 2 |
| #11926699 | 2 |
| #11926682 | 2 |
| #11926552 | 2 |
| #11926508 | 2 |
| C19×#525 | 2 |
| #3004 | 19 |