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×#10597365 | C2 | semidirect |
| 2. #11927095 | C2 | semidirect |
| 3. #11926929 | C2 | semidirect |
| 4. #11926921 | C2 | semidirect |
| 5. #11926918 | C2 | semidirect |
| 6. C4×C8×D19 | C2 | semidirect |
| 7. C19×#494 | C2 | semidirect |
| 41. C8×D19 | D4 | semidirect |
| 65. C4×C19 | #135 | semidirect |
| 72. #494 | D19 | semidirect |
| 95. C19 | #3147 | semidirect |
| 139. C4 | #10597365 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597365 | 2 |
| #11927095 | 2 |
| #11926929 | 2 |
| #11926921 | 2 |
| #11926918 | 2 |
| C4×C8×D19 | 2 |
| C19×#494 | 2 |
| #3147 | 19 |