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×#10597365 | C2 | semidirect |
| 2. #11926977 | C2 | direct (N × H) |
| 3. C2×#10597285 | C2 | semidirect |
| 4. C2×D304 | C2 | semidirect |
| 5. C2×C16×D19 | C2 | semidirect |
| 6. C2×C19×Q32 | C2 | semidirect |
| 11. #10597365 | C22 | semidirect |
| 14. C19×Q32 | C22 | semidirect |
| 16. #10597285 | C22 | semidirect |
| 18. D304 | C22 | semidirect |
| 19. C16×D19 | C22 | semidirect |
| 66. C2×Q32 | D19 | semidirect |
| 70. C2×C19 | #508 | semidirect |
| 81. Q32 | C2×D19 | semidirect |
| 87. C19 | C2×#508 | semidirect |
| 133. C2 | #11926977 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597365 | 2 |
| #11926977 | 2 |
| C2×#10597285 | 2 |
| C2×D304 | 2 |
| C2×C16×D19 | 2 |
| C2×C19×Q32 | 2 |
| C2×#508 | 19 |