Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
520 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 520 conjugacy classes of subgroups — too many to draw. Only its 137 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×#10597376 | C2 | semidirect |
| 2. #11926857 | C2 | semidirect |
| 3. #11926855 | C2 | semidirect |
| 4. #11926778 | C2 | semidirect |
| 5. #11926678 | C2 | semidirect |
| 6. #11926677 | C2 | semidirect |
| 7. C2×C22⋊(C19⋊C8) | C2 | semidirect |
| 8. C2×C19×#121 | C2 | semidirect |
| 10. C22×D4×C19 | C22 | semidirect |
| 13. C22×D76 | C22 | semidirect |
| 17. C19×#121 | C22 | semidirect |
| 18. C2×C4⋊C4×C19 | C22 | semidirect |
| 20. C2×#64525 | C22 | semidirect |
| 24. #10597376 | C22 | semidirect |
| 26. C2×C4⋊Dic19 | C22 | semidirect |
| 27. C22×C19⋊C8 | C22 | semidirect |
| 28. #10597289 | C22 | semidirect |
| 29. C22⋊(C19⋊C8) | C22 | semidirect |
| 30. C22⋊(C19⋊C8) | C22 | semidirect |
| 31. #10597266 | C22 | semidirect |
| 32. #10597264 | C22 | semidirect |
| 74. C23×C19 | D8 | semidirect |
| 132. C2×#121 | D19 | semidirect |
| 150. C22×D4 | C2×D19 | semidirect |
| 161. #121 | C2×D19 | semidirect |
| 163. C2×C4⋊C4 | C2×D19 | semidirect |
| 171. C19 | #3186 | semidirect |
| 217. C23 | #64525 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597376 | 2 |
| #11926857 | 2 |
| #11926855 | 2 |
| #11926778 | 2 |
| #11926678 | 2 |
| #11926677 | 2 |
| C2×C22⋊(C19⋊C8) | 2 |
| C2×C19×#121 | 2 |
| #3186 | 19 |