Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
572 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 572 conjugacy classes of subgroups — too many to draw. Only its 145 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. C2×#10597362 | C2 | semidirect |
| 2. #11927095 | C2 | semidirect |
| 3. #11927092 | C2 | semidirect |
| 4. #11926925 | C2 | semidirect |
| 5. #11926923 | C2 | semidirect |
| 6. #11926920 | C2 | semidirect |
| 7. #11926917 | C2 | semidirect |
| 8. C4×C8×D19 | C2 | semidirect |
| 9. C19×#492 | C2 | semidirect |
| 59. C8×D19 | D4 | semidirect |
| 92. C4×C19 | #135 | semidirect |
| 104. #492 | D19 | semidirect |
| 133. C19 | #3147 | semidirect |
| 196. C4 | #10597362 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597362 | 2 |
| #11927095 | 2 |
| #11927092 | 2 |
| #11926925 | 2 |
| #11926923 | 2 |
| #11926920 | 2 |
| #11926917 | 2 |
| C4×C8×D19 | 2 |
| C19×#492 | 2 |
| #3147 | 19 |