Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
284 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 57 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 |
|---|---|---|
| 3. #11926339 | C2 | semidirect |
| 4. #11926338 | C2 | semidirect |
| 5. C19×#354 | C2 | semidirect |
| 6. C2×Q8×D19 | C4 | semidirect |
| 9. #10597393 | C4 | semidirect |
| 14. #10597321 | C4 | semidirect |
| 15. C42×D19 | C4 | semidirect |
| 20. C2×Q8×C19 | C2×C4 | semidirect |
| 33. C2×Dic38 | C2×C4 | semidirect |
| 36. C42×C19 | C2×C4 | semidirect |
| 43. C4×Dic19 | C2×C4 | semidirect |
| 93. #354 | D19 | direct (N × H) |
| 99. D19 | #354 | direct (N × H) |
| 113. C19 | C2×#354 | semidirect |
| 119. C2×Q8 | C4×D19 | semidirect |
| 138. C42 | C4×D19 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #124×D19 | 2 |
| #99×D19 | 2 |
| #11926339 | 2 |
| #11926338 | 2 |
| C19×#354 | 2 |
| C2×#354 | 19 |