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. #11927078 | C2 | semidirect |
| 3. #11926933 | C2 | semidirect |
| 4. #11926909 | C2 | semidirect |
| 5. #11926745 | C2 | semidirect |
| 6. #11926740 | C2 | semidirect |
| 7. #11926697 | C2 | semidirect |
| 8. #11926680 | C2 | semidirect |
| 9. C19×#432 | C2 | semidirect |
| 18. C2×D152 | C22 | semidirect |
| 19. C2×#64516 | C22 | semidirect |
| 21. #10597321 | C22 | semidirect |
| 26. C4×D76 | C22 | semidirect |
| 28. #10597316 | C22 | semidirect |
| 29. C4×Dic38 | C22 | semidirect |
| 30. C19×C4⋊C8 | C22 | semidirect |
| 32. C19×#97 | C22 | semidirect |
| 33. #10597278 | C22 | semidirect |
| 34. #10597278 | C22 | semidirect |
| 130. #432 | D19 | semidirect |
| 157. C4⋊C8 | C2×D19 | semidirect |
| 161. #97 | 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 |
| #11927078 | 2 |
| #11926933 | 2 |
| #11926909 | 2 |
| #11926745 | 2 |
| #11926740 | 2 |
| #11926697 | 2 |
| #11926680 | 2 |
| C19×#432 | 2 |
| #3217 | 19 |