Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
412 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 412 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. #11927101 | C2 | semidirect |
| 3. #11926942 | C2 | semidirect |
| 4. #11926917 | C2 | semidirect |
| 5. #11926895 | C2 | semidirect |
| 6. #11926891 | C2 | semidirect |
| 7. #11926773 | C2 | semidirect |
| 8. C4×#64516 | C2 | semidirect |
| 9. C2×C4×C8×C19 | C2 | semidirect |
| 71. C2×C4×C19 | SD16 | semidirect |
| 90. C8×C19 | #41 | semidirect |
| 116. C2×C4×C8 | D19 | semidirect |
| 147. C19 | #3167 | semidirect |
| 195. C2×C4 | #64516 | semidirect |
| 203. C8 | #64541 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927101 | 2 |
| #11927094 | 2 |
| #11926942 | 2 |
| #11926917 | 2 |
| #11926895 | 2 |
| #11926891 | 2 |
| #11926773 | 2 |
| C4×#64516 | 2 |
| C2×C4×C8×C19 | 2 |
| #3167 | 19 |