Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
292 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 93 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×#10597276 | C2 | semidirect |
| 3. C2×#10597262 | C2 | semidirect |
| 4. #11926510 | C2 | semidirect |
| 5. C2×C19×#97 | C2 | semidirect |
| 11. C2×Dic76 | C4 | semidirect |
| 14. C2×D152 | C4 | semidirect |
| 15. C2×#64516 | C4 | semidirect |
| 85. C2×#97 | D19 | semidirect |
| 105. C19 | #1975 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597350 | 2 |
| C2×#10597276 | 2 |
| C2×#10597262 | 2 |
| #11926510 | 2 |
| C2×C19×#97 | 2 |
| #1975 | 19 |