Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
240 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 240 conjugacy classes of subgroups — too many to draw. Only its 75 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 |
|---|---|---|
| 4. #11926291 | C2 | semidirect |
| 5. #11926290 | C2 | semidirect |
| 6. #11926289 | C2 | semidirect |
| 7. C19×#332 | C2 | semidirect |
| 94. #332 | D19 | semidirect |
| 116. C19 | #1546 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4⋊Q8×D19 | 2 |
| #11926596 | 2 |
| #11926566 | 2 |
| #11926291 | 2 |
| #11926290 | 2 |
| #11926289 | 2 |
| C19×#332 | 2 |
| #1546 | 19 |