Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
402 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 95 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×#11718516 | C2 | semidirect |
| 4. #13112935 | C2 | semidirect |
| 5. #13112934 | C2 | semidirect |
| 6. #13112917 | C2 | semidirect |
| 29. C2×C13×Q16 | Q8 | semidirect |
| 31. C2×C13×D8 | Q8 | semidirect |
| 172. C2×Q16 | Dic26 | semidirect |
| 174. C2×D8 | Dic26 | semidirect |
| 247. C13 | #13371 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718516 | 2 |
| C2×#11718158 | 2 |
| #13115725 | 2 |
| #13112935 | 2 |
| #13112934 | 2 |
| #13112917 | 2 |
| C2×C13×#360 | 2 |
| #13371 | 13 |