Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
526 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 526 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 |
|---|---|---|
| 2. #11926482 | C2 | semidirect |
| 3. #11926479 | C2 | semidirect |
| 4. #11926475 | C2 | semidirect |
| 5. #11926470 | C2 | semidirect |
| 7. #11926417 | C2 | semidirect |
| 8. #11926407 | C2 | semidirect |
| 9. C22×C4⋊C4×C19 | C2 | semidirect |
| 103. C22×C4⋊C4 | D19 | semidirect |
| 136. C19 | #2623 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597375 | 2 |
| #11926482 | 2 |
| #11926479 | 2 |
| #11926475 | 2 |
| #11926470 | 2 |
| #11926423 | 2 |
| #11926417 | 2 |
| #11926407 | 2 |
| C22×C4⋊C4×C19 | 2 |
| #2623 | 19 |