Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
1088 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 1088 conjugacy classes of subgroups — too many to draw. Only its 181 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×#10597321 | C2 | semidirect |
| 3. C2×#10597370 | C2 | semidirect |
| 4. #11926462 | C2 | semidirect |
| 5. #11926446 | C2 | semidirect |
| 6. #11926399 | C2 | semidirect |
| 7. C4×C22⋊C4×C19 | C2 | semidirect |
| 14. C22×Dic38 | C22 | semidirect |
| 16. C2×C42×C19 | C22 | semidirect |
| 18. C2×(C2×D19)⋊C4 | C22 | semidirect |
| 19. C2×(C2×D19)⋊C4 | C22 | semidirect |
| 20. C2×C4⋊Dic19 | C22 | semidirect |
| 22. C2×Dic19⋊C4 | C22 | semidirect |
| 24. C19×#95 | C22 | semidirect |
| 86. C22×C19 | #124 | semidirect |
| 108. C4×C22⋊C4 | D19 | semidirect |
| 130. C2×C42 | C2×D19 | semidirect |
| 131. #95 | C2×D19 | semidirect |
| 132. C19 | #2435 | semidirect |
| 199. C22 | #10597321 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×D76 | 2 |
| C2×#10597321 | 2 |
| C2×#10597370 | 2 |
| #11926462 | 2 |
| #11926446 | 2 |
| #11926399 | 2 |
| C4×C22⋊C4×C19 | 2 |
| #2435 | 19 |