Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
380 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 71 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. #11927342 | C2 | semidirect |
| 2. #11927111 | C2 | semidirect |
| 3. #11926560 | C2 | semidirect |
| 4. #11926549 | C2 | semidirect |
| 5. #11926518 | C2 | semidirect |
| 6. #11926316 | C2 | semidirect |
| 7. C2×C19×AGL(1,ℤ/8) | C2 | semidirect |
| 36. C2×Q8×C19 | D4 | semidirect |
| 44. C2×D4×C19 | D4 | semidirect |
| 59. M16×C19 | D4 | semidirect |
| 74. C2×C19⋊C8 | D4 | semidirect |
| 137. C2×AGL(1,ℤ/8) | D19 | semidirect |
| 173. C19 | #2008 | semidirect |
| 184. C2×Q8 | C22⋊D19 | semidirect |
| 195. C2×D4 | C22⋊D19 | semidirect |
| 208. M16 | C22⋊D19 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927342 | 2 |
| #11927111 | 2 |
| #11926560 | 2 |
| #11926549 | 2 |
| #11926518 | 2 |
| #11926316 | 2 |
| C2×C19×AGL(1,ℤ/8) | 2 |
| #2008 | 19 |