Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
380 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 145 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. #11926951 | C2 | semidirect |
| 4. #11926949 | C2 | semidirect |
| 5. #11926947 | C2 | semidirect |
| 6. #11926940 | C2 | semidirect |
| 9. C19×#498 | C2 | semidirect |
| 65. #64515 | Q8 | semidirect |
| 86. C8×C19 | C2×Q8 | semidirect |
| 87. C19⋊C8 | C2×Q8 | semidirect |
| 109. #498 | D19 | semidirect |
| 141. C19 | #3165 | semidirect |
| 194. C8 | Q8×D19 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927099 | 2 |
| C4⋊Q8×D19 | 2 |
| #11926951 | 2 |
| #11926949 | 2 |
| #11926947 | 2 |
| #11926940 | 2 |
| #11926583 | 2 |
| C4×#64515 | 2 |
| C19×#498 | 2 |
| #3165 | 19 |