Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
336 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 97 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. #11926568 | C2 | semidirect |
| 4. #11926312 | C2 | semidirect |
| 5. C19×#423 | C2 | semidirect |
| 92. C4×C19 | #100 | semidirect |
| 100. #423 | D19 | semidirect |
| 125. C19 | #1800 | semidirect |
| 196. C4 | #10597280 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×D76 | 2 |
| #11926568 | 2 |
| C2×#10597280 | 2 |
| #11926312 | 2 |
| C19×#423 | 2 |
| #1800 | 19 |