Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
152 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 152 conjugacy classes of subgroups — too many to draw. Only its 63 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 |
|---|---|---|
| 57. C19⋊C8 | Q16 | semidirect |
| 94. C19 | #1591 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11926675 | 2 |
| #11926671 | 2 |
| C4×#64528 | 2 |
| #11926296 | 2 |
| #11926276 | 2 |
| C8×C19⋊C8 | 2 |
| C19×Q8⋊C8 | 2 |
| #1591 | 19 |