Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
488 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 141 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. #11926918 | C2 | semidirect |
| 3. #11926892 | C2 | semidirect |
| 4. #11926744 | C2 | semidirect |
| 5. #11926694 | C2 | semidirect |
| 6. #11926597 | C2 | semidirect |
| 7. C19×#533 | C2 | semidirect |
| 11. C19×C4⋊Q8 | C22 | semidirect |
| 12. C19×C4⋊Q8 | C22 | semidirect |
| 17. C4×Q8×C19 | C22 | semidirect |
| 20. C2×#64527 | C22 | semidirect |
| 26. #10597266 | C22 | semidirect |
| 27. C4⋊(C19⋊C8) | C22 | semidirect |
| 28. C4×C19⋊C8 | C22 | semidirect |
| 69. C2×C4×C19 | SD16 | semidirect |
| 100. #533 | D19 | semidirect |
| 116. C4⋊Q8 | C2×D19 | semidirect |
| 117. C4⋊Q8 | C2×D19 | semidirect |
| 126. C4×Q8 | C2×D19 | semidirect |
| 133. C19 | #3208 | semidirect |
| 180. C2×C4 | #64527 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597320 | 2 |
| #11926918 | 2 |
| #11926892 | 2 |
| #11926744 | 2 |
| #11926694 | 2 |
| #11926597 | 2 |
| C19×#533 | 2 |
| #3208 | 19 |