Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
584 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 584 conjugacy classes of subgroups — too many to draw. Only its 149 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×#10597378 | C2 | semidirect |
| 2. C4×#64541 | C2 | semidirect |
| 3. #11926741 | C2 | semidirect |
| 4. #11926736 | C2 | semidirect |
| 5. #11926568 | C2 | semidirect |
| 6. #11926549 | C2 | semidirect |
| 7. C2×C19×#127 | C2 | semidirect |
| 15. C2×#64526 | C22 | semidirect |
| 17. C2×#64525 | C22 | semidirect |
| 21. C4×D76 | C22 | semidirect |
| 24. C4×Dic38 | C22 | semidirect |
| 25. #10597289 | C22 | semidirect |
| 26. C4⋊(C19⋊C8) | C22 | semidirect |
| 39. #64541 | D4 | semidirect |
| 78. D76 | C2×D4 | semidirect |
| 82. Dic38 | C2×D4 | semidirect |
| 95. C4×C19 | AGL(1,ℤ/8) | semidirect |
| 101. C2×#127 | D19 | semidirect |
| 131. C19 | #3038 | semidirect |
| 200. C4 | #10597378 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597378 | 2 |
| C4×#64541 | 2 |
| #11926741 | 2 |
| #11926736 | 2 |
| #11926568 | 2 |
| #11926549 | 2 |
| C2×C19×#127 | 2 |
| #3038 | 19 |