Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
274 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 274 conjugacy classes of subgroups — too many to draw. Only its 81 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. #11926281 | C2 | semidirect |
| 5. C22×Q8×C19 | C4 | semidirect |
| 9. C19×C22⋊Q8 | C4 | semidirect |
| 12. C2×C4⋊C4×C19 | C4 | semidirect |
| 98. C22×Q8 | Dic19 | semidirect |
| 103. C22⋊Q8 | Dic19 | semidirect |
| 106. C2×C4⋊C4 | Dic19 | semidirect |
| 113. C19 | #1511 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11926508 | 2 |
| #11926407 | 2 |
| #11926281 | 2 |
| C2×C19×C22⋊Q8 | 2 |
| #1511 | 19 |