Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
770 conjugacy classes of subgroups; only the 120 normal subgroups are shown.
This group has 770 conjugacy classes of subgroups — too many to draw. Only its 120 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. #13129781 | C2 | direct (N × H) |
| 36. C2×C22⋊Dic13 | C8 | semidirect |
| 98. C22⋊Dic13 | C2×C8 | semidirect |
| 247. C2×C13 | #1326 | semidirect |
| 300. C13 | C2×#1326 | semidirect |
| 397. C2 | #13129781 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718305 | 2 |
| #13129781 | 2 |
| C2×#11718871 | 2 |
| C2×#1326 | 13 |