Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
302 conjugacy classes of subgroups; only the 168 normal subgroups are shown.
This group has 302 conjugacy classes of subgroups — too many to draw. Only its 168 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. #13129752 | C2 | direct (N × H) |
| 24. C2×C13×C16 | C8 | semidirect |
| 30. C2×#6090 | C8 | semidirect |
| 48. C13×C16 | C2×C8 | semidirect |
| 49. #6090 | C2×C8 | semidirect |
| 95. C2×C16 | #1057 | semidirect |
| 103. C2×C13 | #1313 | semidirect |
| 122. C16 | C2×#1057 | semidirect |
| 123. C13 | C2×#1313 | semidirect |
| 146. C2 | #13129752 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718258 | 2 |
| C2×#11718251 | 2 |
| #13129752 | 2 |
| C2×#11718094 | 2 |
| C2×#1313 | 13 |