Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
296 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 296 conjugacy classes of subgroups — too many to draw. Only its 89 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. #11926554 | C2 | semidirect |
| 4. C2×#10597281 | C2 | semidirect |
| 6. #11926499 | C2 | semidirect |
| 7. C2×C19×#108 | C2 | semidirect |
| 18. C2×#64516 | C4 | semidirect |
| 103. C2×#108 | D19 | semidirect |
| 132. C19 | #1977 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#64516 | 2 |
| #11926554 | 2 |
| #11926550 | 2 |
| C2×#10597281 | 2 |
| C2×#10597280 | 2 |
| #11926499 | 2 |
| C2×C19×#108 | 2 |
| #1977 | 19 |