Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
454 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 454 conjugacy classes of subgroups — too many to draw. Only its 133 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. #11927078 | C2 | semidirect |
| 2. #11926879 | C2 | semidirect |
| 3. #11926862 | C2 | semidirect |
| 4. #11926844 | C2 | semidirect |
| 5. #11926759 | C2 | semidirect |
| 6. #11926695 | C2 | semidirect |
| 8. C4×#64526 | C2 | semidirect |
| 9. C4×#64525 | C2 | semidirect |
| 10. #11926597 | C2 | semidirect |
| 11. C2×C4×D4×C19 | C2 | semidirect |
| 28. #10597321 | C22 | semidirect |
| 29. C4×D76 | C22 | semidirect |
| 31. #10597316 | C22 | semidirect |
| 32. C4×Dic38 | C22 | semidirect |
| 37. #10597267 | C22 | semidirect |
| 38. #10597266 | C22 | semidirect |
| 39. #10597265 | C22 | semidirect |
| 40. #10597264 | C22 | semidirect |
| 41. C4⋊(C19⋊C8) | C22 | semidirect |
| 42. C4×C19⋊C8 | C22 | semidirect |
| 136. C2×C4×D4 | D19 | semidirect |
| 183. C19 | #3105 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927078 | 2 |
| #11926879 | 2 |
| #11926862 | 2 |
| #11926844 | 2 |
| #11926759 | 2 |
| #11926695 | 2 |
| #11926678 | 2 |
| C4×#64526 | 2 |
| C4×#64525 | 2 |
| #11926597 | 2 |
| C2×C4×D4×C19 | 2 |
| #3105 | 19 |