Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
456 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 149 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. #11926949 | C2 | semidirect |
| 3. #11926921 | C2 | semidirect |
| 4. #11926891 | C2 | semidirect |
| 5. #11926780 | C2 | semidirect |
| 6. C4×D152 | C2 | semidirect |
| 7. C2×C4×C8×C19 | C2 | semidirect |
| 50. C2×C4×C19 | D8 | semidirect |
| 65. C8×C19 | #41 | semidirect |
| 87. C2×C4×C8 | D19 | semidirect |
| 109. C19 | #3169 | semidirect |
| 143. C2×C4 | D152 | semidirect |
| 151. C8 | #64541 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927094 | 2 |
| #11926949 | 2 |
| #11926921 | 2 |
| #11926891 | 2 |
| #11926780 | 2 |
| C4×D152 | 2 |
| C2×C4×C8×C19 | 2 |
| #3169 | 19 |