Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
368 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 368 conjugacy classes of subgroups — too many to draw. Only its 117 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×#10597358 | C2 | semidirect |
| 2. #11926973 | C2 | direct (N × H) |
| 3. C2×Dic152 | C2 | semidirect |
| 4. C2×#10597284 | C2 | semidirect |
| 5. C2×C16×D19 | C2 | semidirect |
| 6. C2×C19×D16 | C2 | semidirect |
| 11. #10597358 | C22 | semidirect |
| 14. C19×D16 | C22 | semidirect |
| 16. #10597284 | C22 | semidirect |
| 18. Dic152 | C22 | semidirect |
| 19. C16×D19 | C22 | semidirect |
| 68. C2×D16 | D19 | semidirect |
| 71. C2×C19 | #508 | semidirect |
| 83. D16 | C2×D19 | semidirect |
| 87. C19 | C2×#508 | semidirect |
| 133. C2 | #11926973 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597358 | 2 |
| #11926973 | 2 |
| C2×Dic152 | 2 |
| C2×#10597284 | 2 |
| C2×C16×D19 | 2 |
| C2×C19×D16 | 2 |
| C2×#508 | 19 |