Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
376 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 376 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. #11927172 | C2 | semidirect |
| 3. #11926854 | C2 | semidirect |
| 4. #11926843 | C2 | semidirect |
| 5. #11926838 | C2 | semidirect |
| 6. #11926823 | C2 | semidirect |
| 7. C2×#10597264 | C2 | semidirect |
| 8. #11926572 | C2 | semidirect |
| 11. C19×#428 | C2 | semidirect |
| 46. #64541 | Q8 | semidirect |
| 125. #428 | D19 | semidirect |
| 164. C19 | #3083 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927172 | 2 |
| #11927025 | 2 |
| #11926854 | 2 |
| #11926843 | 2 |
| #11926838 | 2 |
| #11926823 | 2 |
| C2×#10597264 | 2 |
| #11926572 | 2 |
| #11926546 | 2 |
| #11926538 | 2 |
| C19×#428 | 2 |
| #3083 | 19 |