Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
688 conjugacy classes of subgroups; only the 189 normal subgroups are shown.
This group has 688 conjugacy classes of subgroups — too many to draw. Only its 189 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×#10597375 | C2 | semidirect |
| 3. #11926446 | C2 | semidirect |
| 4. #11926442 | C2 | semidirect |
| 5. #11926435 | C2 | semidirect |
| 6. #11926423 | C2 | semidirect |
| 7. #11926404 | C2 | semidirect |
| 8. C22×C42×C19 | C2 | semidirect |
| 36. C22×C4×C19 | D4 | semidirect |
| 108. C4×C19 | #123 | semidirect |
| 113. C22×C42 | D19 | semidirect |
| 145. C19 | #2854 | semidirect |
| 160. C22×C4 | D76 | semidirect |
| 227. C4 | #10597375 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597375 | 2 |
| C2×#10597376 | 2 |
| #11926446 | 2 |
| #11926442 | 2 |
| #11926435 | 2 |
| #11926423 | 2 |
| #11926404 | 2 |
| C22×C42×C19 | 2 |
| #2854 | 19 |