Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
384 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 384 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 |
|---|---|---|
| 3. #11926911 | C2 | direct (N × H) |
| 105. C2×C19 | #491 | semidirect |
| 129. C19 | C2×#491 | semidirect |
| 197. C2 | #11926911 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597390 | 2 |
| C2×#10597336 | 2 |
| #11926911 | 2 |
| C2×#10597273 | 2 |
| C2×#10597292 | 2 |
| C2×#10597267 | 2 |
| C2×#10597272 | 2 |
| C2×C19×#103 | 2 |
| C2×#491 | 19 |