Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
524 conjugacy classes of subgroups; only the 205 normal subgroups are shown.
This group has 524 conjugacy classes of subgroups — too many to draw. Only its 205 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. #11926428 | C2 | semidirect |
| 4. C4×Dic19⋊C4 | C2 | semidirect |
| 6. #11926390 | C2 | semidirect |
| 7. C43×C19 | C2 | semidirect |
| 18. #10597318 | C4 | semidirect |
| 78. C43 | D19 | semidirect |
| 97. C19 | #2298 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597318 | 2 |
| #11926435 | 2 |
| #11926428 | 2 |
| C4×Dic19⋊C4 | 2 |
| C4×(C2×D19)⋊C4 | 2 |
| #11926390 | 2 |
| C43×C19 | 2 |
| #2298 | 19 |