Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
332 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 129 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 |
|---|---|---|
| 19. #10597333 | C4 | semidirect |
| 21. #10597273 | C4 | semidirect |
| 23. #10597267 | C4 | semidirect |
| 82. Dic38 | C42 | semidirect |
| 102. Dic19 | #103 | semidirect |
| 133. C19 | C4×#103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597333 | 2 |
| C2×#10597273 | 2 |
| C2×#10597267 | 2 |
| C2×C8×Dic19 | 2 |
| C4⋊C4×Dic19 | 2 |
| #11926306 | 2 |
| C19×#340 | 2 |
| C4×#103 | 19 |