Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
1088 conjugacy classes of subgroups; only the 285 normal subgroups are shown.
This group has 1088 conjugacy classes of subgroups — too many to draw. Only its 285 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 |
|---|---|---|
| 2. C2×#10597372 | C2 | semidirect |
| 3. #11926405 | C2 | semidirect |
| 4. #11926401 | C2 | semidirect |
| 6. C4×(C2×D19)⋊C4 | C2 | semidirect |
| 7. C2×C19×#117 | C2 | semidirect |
| 13. C22×C4×D19 | C4 | semidirect |
| 17. C2×C4⋊C4×C19 | C22 | semidirect |
| 19. C2×C42×C19 | C22 | semidirect |
| 23. C2×C4⋊Dic19 | C22 | semidirect |
| 24. C2×C4×Dic19 | C22 | semidirect |
| 25. C19⋊#95 | C22 | semidirect |
| 73. C2×C4×C19 | C22⋊C4 | semidirect |
| 102. C2×D19 | #117 | semidirect |
| 110. C2×#117 | D19 | semidirect |
| 132. C2×C4⋊C4 | C2×D19 | semidirect |
| 137. C2×C42 | C2×D19 | semidirect |
| 139. C19 | #2280 | semidirect |
| 195. C2×C4 | (C2×D19)⋊C4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×C4×D19 | 2 |
| C2×#10597372 | 2 |
| #11926405 | 2 |
| #11926401 | 2 |
| #11926399 | 2 |
| C4×(C2×D19)⋊C4 | 2 |
| C2×C19×#117 | 2 |
| #2280 | 19 |