Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
394 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 394 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 |
|---|---|---|
| 2. C2×#10597393 | C2 | semidirect |
| 3. C2×#10597294 | C2 | semidirect |
| 4. #11926553 | C2 | semidirect |
| 5. C2×#10597280 | C2 | semidirect |
| 6. #11926305 | C2 | semidirect |
| 7. C2×C19×#137 | C2 | semidirect |
| 40. C2×Q8×C19 | D4 | semidirect |
| 57. M16×C19 | D4 | semidirect |
| 65. C4×Dic19 | D4 | semidirect |
| 126. C2×#137 | D19 | semidirect |
| 160. C19 | #2004 | semidirect |
| 172. C2×Q8 | C22⋊D19 | semidirect |
| 191. M16 | C22⋊D19 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927108 | 2 |
| C2×#10597393 | 2 |
| C2×#10597294 | 2 |
| #11926553 | 2 |
| C2×#10597280 | 2 |
| #11926305 | 2 |
| C2×C19×#137 | 2 |
| #2004 | 19 |