Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
490 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 490 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×#10597388 | C2 | semidirect |
| 2. C22×#64527 | C2 | semidirect |
| 4. #11926766 | C2 | semidirect |
| 5. #11926744 | C2 | semidirect |
| 6. #11926571 | C2 | semidirect |
| 7. #11926548 | C2 | semidirect |
| 8. #11926538 | C2 | semidirect |
| 9. C19×#519 | C2 | semidirect |
| 14. C4×Q8×C19 | C22 | semidirect |
| 18. C2×#64528 | C22 | semidirect |
| 22. C2×#64527 | C22 | semidirect |
| 29. #10597267 | C22 | semidirect |
| 31. #10597266 | C22 | semidirect |
| 32. C4⋊(C19⋊C8) | C22 | semidirect |
| 36. C2×Q8×C19 | D4 | semidirect |
| 115. #519 | D19 | semidirect |
| 141. C4×Q8 | C2×D19 | semidirect |
| 149. C19 | #3043 | semidirect |
| 156. C2×Q8 | D76 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597388 | 2 |
| C22×#64527 | 2 |
| #11927113 | 2 |
| #11926766 | 2 |
| #11926744 | 2 |
| #11926571 | 2 |
| #11926548 | 2 |
| #11926538 | 2 |
| C19×#519 | 2 |
| #3043 | 19 |