Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
292 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 83 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×#10597279 | C2 | semidirect |
| 3. C2×#10597294 | C2 | semidirect |
| 4. C2×#10597282 | C2 | semidirect |
| 5. #11926510 | C2 | semidirect |
| 6. C2×#10597272 | C2 | semidirect |
| 7. C19×#408 | C2 | semidirect |
| 14. C2×#64528 | C4 | semidirect |
| 15. C2×#64527 | C4 | semidirect |
| 16. C2×#64526 | C4 | semidirect |
| 17. C2×#64525 | C4 | semidirect |
| 119. #408 | D19 | semidirect |
| 146. C19 | #1975 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597396 | 2 |
| C2×#10597279 | 2 |
| C2×#10597294 | 2 |
| C2×#10597282 | 2 |
| #11926510 | 2 |
| C2×#10597272 | 2 |
| C19×#408 | 2 |
| #1975 | 19 |