Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
254 conjugacy classes of subgroups; only the 128 normal subgroups are shown.
This group has 254 conjugacy classes of subgroups — too many to draw. Only its 128 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. #13129862 | C2 | direct (N × H) |
| 31. C2×#6090 | C8 | semidirect |
| 53. #6090 | C2×C8 | semidirect |
| 115. C2×C13 | #1368 | semidirect |
| 139. C13 | C2×#1368 | semidirect |
| 169. C2 | #13129862 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718253 | 2 |
| #13129862 | 2 |
| C2×#11718094 | 2 |
| C2×#1368 | 13 |