Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
234 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 234 conjugacy classes of subgroups — too many to draw. Only its 73 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×#10597260 | C2 | semidirect |
| 3. #11926285 | C2 | semidirect |
| 4. #11926283 | C2 | semidirect |
| 5. C4×M16×C19 | C2 | semidirect |
| 88. C4×M16 | D19 | semidirect |
| 114. C19 | #1524 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927078 | 2 |
| C2×#10597260 | 2 |
| #11926285 | 2 |
| #11926283 | 2 |
| C4×M16×C19 | 2 |
| #1524 | 19 |