Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
754 conjugacy classes of subgroups; only the 153 normal subgroups are shown.
This group has 754 conjugacy classes of subgroups — too many to draw. Only its 153 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×#10597388 | C2 | semidirect |
| 3. #11926704 | C2 | semidirect |
| 4. #11926699 | C2 | semidirect |
| 5. #11926694 | C2 | semidirect |
| 6. #11926543 | C2 | semidirect |
| 7. #11926508 | C2 | semidirect |
| 8. C2×C19×C22⋊Q8 | C2 | semidirect |
| 9. C22×Q8×C19 | C22 | semidirect |
| 23. C19×C22⋊Q8 | C22 | semidirect |
| 25. C2×C4⋊C4×C19 | C22 | semidirect |
| 27. C2×#64528 | C22 | semidirect |
| 29. C2×#64527 | C22 | semidirect |
| 30. C2×#64520 | C22 | semidirect |
| 32. C22⋊(C19⋊C8) | C22 | semidirect |
| 33. #10597267 | C22 | semidirect |
| 34. #10597266 | C22 | semidirect |
| 127. C22×C19 | #137 | semidirect |
| 142. C2×C22⋊Q8 | D19 | semidirect |
| 161. C22×Q8 | C2×D19 | semidirect |
| 173. C22⋊Q8 | C2×D19 | semidirect |
| 175. C2×C4⋊C4 | C2×D19 | semidirect |
| 181. C19 | #3007 | semidirect |
| 277. C22 | #10597388 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#64541 | 2 |
| C2×#10597388 | 2 |
| #11926704 | 2 |
| #11926699 | 2 |
| #11926694 | 2 |
| #11926543 | 2 |
| #11926508 | 2 |
| C2×C19×C22⋊Q8 | 2 |
| #3007 | 19 |