Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
572 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 572 conjugacy classes of subgroups — too many to draw. Only its 149 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. C2×#10597397 | C2 | semidirect |
| 2. C2×#10597395 | C2 | semidirect |
| 3. C2×#10597321 | C2 | semidirect |
| 4. #11926936 | C2 | semidirect |
| 5. #11926931 | C2 | semidirect |
| 6. #11926926 | C2 | semidirect |
| 7. C4×#64520 | C2 | semidirect |
| 8. C19×#532 | C2 | semidirect |
| 12. C19×C4⋊Q8 | C22 | semidirect |
| 13. C19×#127 | C22 | semidirect |
| 14. C19×#124 | C22 | semidirect |
| 20. C2×#64528 | C22 | semidirect |
| 22. C2×#64526 | C22 | semidirect |
| 29. #10597260 | C22 | semidirect |
| 30. C4×C19⋊C8 | C22 | semidirect |
| 59. #64520 | D4 | semidirect |
| 104. #532 | D19 | semidirect |
| 125. C4⋊Q8 | C2×D19 | semidirect |
| 126. #127 | C2×D19 | semidirect |
| 130. #124 | C2×D19 | semidirect |
| 137. C19 | #3153 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597397 | 2 |
| C2×#10597395 | 2 |
| C2×#10597321 | 2 |
| #11926936 | 2 |
| #11926931 | 2 |
| #11926926 | 2 |
| C4×#64520 | 2 |
| C19×#532 | 2 |
| #3153 | 19 |