Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
402 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 99 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×#11718341 | C2 | semidirect |
| 3. #13112936 | C2 | semidirect |
| 4. #13112918 | C2 | semidirect |
| 21. C2×C13×Q16 | Q8 | semidirect |
| 23. C2×C13×D8 | Q8 | semidirect |
| 134. C2×Q16 | Dic26 | semidirect |
| 136. C2×D8 | Dic26 | semidirect |
| 192. C13 | #13371 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718341 | 2 |
| C2×#11718158 | 2 |
| #13112936 | 2 |
| #13112918 | 2 |
| C13×#1974 | 2 |
| #13371 | 13 |