Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
936 conjugacy classes of subgroups; only the 285 normal subgroups are shown.
This group has 936 conjugacy classes of subgroups — too many to draw. Only its 285 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 |
|---|---|---|
| 2. C2×#10597372 | C2 | semidirect |
| 3. #11926450 | C2 | semidirect |
| 4. #11926446 | C2 | semidirect |
| 5. #11926423 | C2 | semidirect |
| 6. C4×(C2×D19)⋊C4 | C2 | semidirect |
| 7. C22×C42×C19 | C2 | semidirect |
| 13. C2×#64541 | C4 | semidirect |
| 44. C2×D76 | C2×C4 | semidirect |
| 47. C2×C4×D19 | C2×C4 | semidirect |
| 50. C2×Dic38 | C2×C4 | semidirect |
| 69. C2×C4×C19 | C22⋊C4 | semidirect |
| 76. C2×C4×C19 | #41 | semidirect |
| 106. C22×C42 | D19 | semidirect |
| 135. C19 | #2297 | semidirect |
| 188. C2×C4 | (C2×D19)⋊C4 | semidirect |
| 193. C2×C4 | #64541 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#64541 | 2 |
| C2×#10597372 | 2 |
| #11926450 | 2 |
| #11926446 | 2 |
| #11926423 | 2 |
| C4×(C2×D19)⋊C4 | 2 |
| C22×C42×C19 | 2 |
| #2297 | 19 |