Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
274 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 274 conjugacy classes of subgroups — too many to draw. Only its 87 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×#10597275 | C2 | semidirect |
| 2. C2×#10597274 | C2 | semidirect |
| 6. #11926410 | C2 | semidirect |
| 7. C19×#336 | C2 | semidirect |
| 100. #336 | D19 | semidirect |
| 120. C19 | #2092 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597275 | 2 |
| C2×#10597274 | 2 |
| C2×#10597278 | 2 |
| #11926446 | 2 |
| #11926410 | 2 |
| C19×#336 | 2 |
| #2092 | 19 |