Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
484 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 133 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. C2×#10597358 | C2 | semidirect |
| 2. #11927198 | C2 | semidirect |
| 3. #11926924 | C2 | semidirect |
| 4. #11926786 | C2 | semidirect |
| 5. #11926749 | C2 | semidirect |
| 6. #11926707 | C2 | semidirect |
| 7. C8×D76 | C2 | semidirect |
| 8. C4×D8×C19 | C2 | semidirect |
| 38. D8×C19 | D4 | semidirect |
| 86. C4×C19 | #135 | semidirect |
| 97. C4×D8 | D19 | semidirect |
| 124. C19 | #3283 | semidirect |
| 137. D8 | D76 | semidirect |
| 183. C4 | #10597358 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597358 | 2 |
| #11927198 | 2 |
| #11926924 | 2 |
| #11926786 | 2 |
| #11926749 | 2 |
| #11926707 | 2 |
| C8×D76 | 2 |
| C4×D8×C19 | 2 |
| #3283 | 19 |