Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
416 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 75 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. #13112995 | C2 | direct (N × H) |
| 8. C2×#88123 | C4 | semidirect |
| 13. #11718721 | C4 | semidirect |
| 15. C2×#88043 | C4 | semidirect |
| 44. #88123 | C2×C4 | semidirect |
| 50. #88043 | C2×C4 | semidirect |
| 201. C2×C13 | #1407 | semidirect |
| 246. C13 | C2×#1407 | semidirect |
| 303. C2 | #13112995 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718721 | 2 |
| C2×#11718134 | 2 |
| #13112995 | 2 |
| C2×C13×#354 | 2 |
| C2×#1407 | 13 |