Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
488 conjugacy classes of subgroups; only the 205 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 205 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 |
|---|---|---|
| 3. #11926638 | C2 | direct (N × H) |
| 14. C2×Dic76 | C4 | semidirect |
| 40. Dic76 | C2×C4 | semidirect |
| 51. C2×Dic19 | Q16 | semidirect |
| 70. Dic19 | C2×Q16 | semidirect |
| 77. C2×C19 | C4×Q16 | semidirect |
| 95. C19 | C2×C4×Q16 | semidirect |
| 145. C2 | #11926638 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×Dic76 | 2 |
| C2×#10597333 | 2 |
| #11926638 | 2 |
| C2×#10597267 | 2 |
| C2×C8×Dic19 | 2 |
| C2×C19×#107 | 2 |
| C2×C4×Q16 | 19 |