Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
596 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 596 conjugacy classes of subgroups — too many to draw. Only its 181 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 |
|---|---|---|
| 2. #11926444 | C2 | semidirect |
| 3. #11926435 | C2 | semidirect |
| 4. #11926427 | C2 | semidirect |
| 5. #11926422 | C2 | semidirect |
| 6. #11926420 | C2 | semidirect |
| 7. #11926407 | C2 | semidirect |
| 8. C4×(C2×D19)⋊C4 | C2 | semidirect |
| 9. C4×C22⋊C4×C19 | C2 | semidirect |
| 19. #10597376 | C4 | semidirect |
| 36. C22×C4×C19 | C2×C4 | semidirect |
| 43. C2×C22⋊D19 | C2×C4 | semidirect |
| 61. (C2×D19)⋊C4 | C2×C4 | semidirect |
| 62. C4⋊Dic19 | C2×C4 | semidirect |
| 136. C4×C22⋊C4 | D19 | semidirect |
| 166. C19 | #2333 | semidirect |
| 183. C22×C4 | C4×D19 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597376 | 2 |
| #11926444 | 2 |
| #11926435 | 2 |
| #11926427 | 2 |
| #11926422 | 2 |
| #11926420 | 2 |
| #11926407 | 2 |
| C4×(C2×D19)⋊C4 | 2 |
| C4×C22⋊C4×C19 | 2 |
| #2333 | 19 |