Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
490 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 490 conjugacy classes of subgroups — too many to draw. Only its 125 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×#10597320 | C2 | semidirect |
| 2. #11926934 | C2 | semidirect |
| 3. #11926910 | C2 | semidirect |
| 4. #11926744 | C2 | semidirect |
| 5. #11926739 | C2 | semidirect |
| 6. #11926694 | C2 | semidirect |
| 7. #11926677 | C2 | semidirect |
| 8. #11926601 | C2 | semidirect |
| 9. C19×#529 | C2 | semidirect |
| 14. C19×#125 | C22 | semidirect |
| 15. C19×#124 | C22 | semidirect |
| 19. C4×Q8×C19 | C22 | semidirect |
| 21. C4×D4×C19 | C22 | semidirect |
| 24. C2×#64527 | C22 | semidirect |
| 25. C2×#64525 | C22 | semidirect |
| 31. #10597266 | C22 | semidirect |
| 32. #10597266 | C22 | semidirect |
| 33. C4⋊(C19⋊C8) | C22 | semidirect |
| 34. #10597260 | C22 | semidirect |
| 123. #529 | D19 | semidirect |
| 147. #125 | C2×D19 | semidirect |
| 148. #124 | C2×D19 | semidirect |
| 152. C4×Q8 | C2×D19 | semidirect |
| 154. C4×D4 | C2×D19 | semidirect |
| 162. C19 | #3217 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597320 | 2 |
| #11926934 | 2 |
| #11926910 | 2 |
| #11926744 | 2 |
| #11926739 | 2 |
| #11926694 | 2 |
| #11926677 | 2 |
| #11926601 | 2 |
| C19×#529 | 2 |
| #3217 | 19 |