Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
376 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 93 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. C22×#64520 | C2 | semidirect |
| 3. C2×#10597262 | C2 | semidirect |
| 4. #11926304 | C2 | semidirect |
| 5. C4×C22⋊C4×C19 | C2 | semidirect |
| 11. #10597376 | C4 | semidirect |
| 12. #10597376 | C4 | semidirect |
| 17. #10597370 | C4 | semidirect |
| 18. #10597370 | C4 | semidirect |
| 58. #64520 | D4 | semidirect |
| 104. C22×C19 | #104 | semidirect |
| 122. C4×C22⋊C4 | D19 | semidirect |
| 150. C19 | #1871 | semidirect |
| 232. C22 | #10597262 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#64520 | 2 |
| #11927055 | 2 |
| C2×#10597262 | 2 |
| #11926304 | 2 |
| C4×C22⋊C4×C19 | 2 |
| #1871 | 19 |