Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
394 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 394 conjugacy classes of subgroups — too many to draw. Only its 117 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 |
|---|---|---|
| 1. #11927099 | C2 | semidirect |
| 3. #11926918 | C2 | semidirect |
| 4. #11926894 | C2 | semidirect |
| 5. #11926891 | C2 | semidirect |
| 6. #11926768 | C2 | semidirect |
| 7. #11926705 | C2 | semidirect |
| 8. #11926595 | C2 | semidirect |
| 9. C19×#494 | C2 | semidirect |
| 110. #494 | D19 | semidirect |
| 147. C19 | #3210 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927099 | 2 |
| #11927095 | 2 |
| #11926918 | 2 |
| #11926894 | 2 |
| #11926891 | 2 |
| #11926768 | 2 |
| #11926705 | 2 |
| #11926595 | 2 |
| C19×#494 | 2 |
| #3210 | 19 |