Finite Group DatabasebetaFinite Group DatabasebetaOrder 22932.
104 conjugacy classes of subgroups; only the 26 normal subgroups are shown.
This group has 104 conjugacy classes of subgroups — too many to draw. Only its 26 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. #21439563 | C3 | direct (N × H) |
| 4. C3×C13×#3862 | C4 | semidirect |
| 9. C3×C72×C13 | Dic3 | semidirect |
| 11. C13×#3862 | C3×C4 | semidirect |
| 19. C72×C13 | C3×Dic3 | semidirect |
| 28. C3×#3862 | Dic13 | semidirect |
| 46. C3×C72 | Dic39 | semidirect |
| 48. #3862 | C3×Dic13 | semidirect |
| 62. C72 | C3×Dic39 | semidirect |
| 70. C3×C13 | #10596868 | semidirect |
| 84. C13 | C3×#10596868 | semidirect |
| 97. C3 | #21439563 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C3×C13×#3862 | 2 |
| C3×C7×Dic91 | 3 |
| #21439563 | 3 |
| C3×#10596868 | 13 |
| C3×Dic39 | 49 |