Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
520 conjugacy classes of subgroups; only the 185 normal subgroups are shown.
This group has 520 conjugacy classes of subgroups — too many to draw. Only its 185 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×#10597353 | C2 | semidirect |
| 2. C22×C8×D19 | C2 | semidirect |
| 4. #11926614 | C2 | semidirect |
| 5. #11926609 | C2 | semidirect |
| 6. #11926510 | C2 | semidirect |
| 7. #11926507 | C2 | semidirect |
| 8. #11926500 | C2 | semidirect |
| 9. C19×#424 | C2 | semidirect |
| 18. C2×#64515 | C22 | semidirect |
| 22. C2×C8×D19 | C22 | semidirect |
| 28. C19×C4⋊C8 | C22 | semidirect |
| 30. (C2×D19)⋊C8 | C22 | semidirect |
| 31. #10597260 | C22 | semidirect |
| 32. C4×C19⋊C8 | C22 | semidirect |
| 58. C2×C19⋊C8 | D4 | semidirect |
| 102. C2×D19 | #131 | semidirect |
| 114. #424 | D19 | semidirect |
| 141. C4⋊C8 | C2×D19 | semidirect |
| 146. C19 | #2929 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597353 | 2 |
| C22×C8×D19 | 2 |
| #11927056 | 2 |
| #11926614 | 2 |
| #11926609 | 2 |
| #11926510 | 2 |
| #11926507 | 2 |
| #11926500 | 2 |
| C19×#424 | 2 |
| #2929 | 19 |