Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
432 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 432 conjugacy classes of subgroups — too many to draw. Only its 125 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. C2×#10597278 | C2 | semidirect |
| 3. #11926404 | C2 | semidirect |
| 4. #11926307 | C2 | semidirect |
| 5. C23×C8×C19 | C2 | semidirect |
| 14. #10597376 | C4 | semidirect |
| 40. C2×C8×C19 | D4 | semidirect |
| 83. C22×C19 | #102 | semidirect |
| 100. C23×C8 | D19 | semidirect |
| 126. C19 | #1893 | semidirect |
| 147. C2×C8 | C22⋊D19 | semidirect |
| 194. C22 | #10597278 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597376 | 2 |
| C2×#10597278 | 2 |
| #11926404 | 2 |
| #11926307 | 2 |
| C23×C8×C19 | 2 |
| #1893 | 19 |