Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
436 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 436 conjugacy classes of subgroups — too many to draw. Only its 137 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. #11927094 | C2 | semidirect |
| 2. #11926824 | C2 | semidirect |
| 3. #11926821 | C2 | semidirect |
| 4. #11926778 | C2 | semidirect |
| 5. #11926739 | C2 | semidirect |
| 6. #11926736 | C2 | semidirect |
| 7. C2×C4⋊(C19⋊C8) | C2 | semidirect |
| 8. C19×#532 | C2 | semidirect |
| 79. C2×C4×C19 | D8 | semidirect |
| 116. #532 | D19 | semidirect |
| 153. C19 | #3245 | semidirect |
| 208. C2×C4 | #64525 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927094 | 2 |
| #11926824 | 2 |
| #11926821 | 2 |
| #11926778 | 2 |
| #11926739 | 2 |
| #11926736 | 2 |
| C2×C4⋊(C19⋊C8) | 2 |
| C19×#532 | 2 |
| #3245 | 19 |