Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1088 conjugacy classes of subgroups; only the 151 normal subgroups are shown.
This group has 1088 conjugacy classes of subgroups — too many to draw. Only its 151 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 |
|---|---|---|
| 1. C2×C4×C22⋊Dic13 | C2 | semidirect |
| 2. #13114746 | C2 | semidirect |
| 3. C2×#11718129 | C2 | semidirect |
| 4. #13112714 | C2 | semidirect |
| 7. C2×C13×#121 | C4 | semidirect |
| 14. C13×#380 | C4 | semidirect |
| 51. #88071 | D4 | semidirect |
| 170. C2×#121 | Dic13 | semidirect |
| 179. #380 | Dic13 | semidirect |
| 312. C13 | #9150 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×C22⋊Dic13 | 2 |
| #13114746 | 2 |
| C2×#11718129 | 2 |
| #13112714 | 2 |
| C13×#2847 | 2 |
| #9150 | 13 |