Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
512 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 512 conjugacy classes of subgroups — too many to draw. Only its 141 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×#10597316 | C2 | semidirect |
| 2. #11926480 | C2 | semidirect |
| 3. #11926475 | C2 | semidirect |
| 4. #11926469 | C2 | semidirect |
| 6. #11926417 | C2 | semidirect |
| 7. #11926412 | C2 | semidirect |
| 121. C19 | #2633 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597316 | 2 |
| #11926480 | 2 |
| #11926475 | 2 |
| #11926469 | 2 |
| #11926458 | 2 |
| #11926417 | 2 |
| #11926412 | 2 |
| C2×C4×D4×C19 | 2 |
| #2633 | 19 |