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×#10597354 | C2 | semidirect |
| 2. C2×#10597320 | C2 | semidirect |
| 3. C4×#64541 | C2 | semidirect |
| 4. #11926745 | C2 | semidirect |
| 5. #11926740 | C2 | semidirect |
| 6. #11926550 | C2 | semidirect |
| 7. C19×#423 | C2 | semidirect |
| 16. C2×D152 | C22 | semidirect |
| 17. C2×#64516 | C22 | semidirect |
| 21. C4×D76 | C22 | semidirect |
| 24. C4×Dic38 | C22 | semidirect |
| 25. C19×C4⋊C8 | C22 | semidirect |
| 26. #10597278 | C22 | semidirect |
| 32. #64541 | D4 | semidirect |
| 78. D76 | C2×D4 | semidirect |
| 82. Dic38 | C2×D4 | semidirect |
| 95. C4×C19 | AGL(1,ℤ/8) | semidirect |
| 105. #423 | D19 | semidirect |
| 129. C4⋊C8 | C2×D19 | semidirect |
| 131. C19 | #3038 | semidirect |
| 201. C4 | #10597354 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597354 | 2 |
| C2×#10597320 | 2 |
| C4×#64541 | 2 |
| #11926745 | 2 |
| #11926740 | 2 |
| #11926550 | 2 |
| C19×#423 | 2 |
| #3038 | 19 |