Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
256 conjugacy classes of subgroups; only the 80 normal subgroups are shown.
This group has 256 conjugacy classes of subgroups — too many to draw. Only its 80 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 |
|---|---|---|
| 23. C13×#368 | C4 | semidirect |
| 24. #11718098 | C4 | semidirect |
| 25. #11718085 | C4 | semidirect |
| 26. #11718085 | C4 | semidirect |
| 131. #368 | #261 | semidirect |
| 216. C13 | #13175 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718220 | 2 |
| #13131055 | 2 |
| #13130955 | 2 |
| #13130953 | 2 |
| #13129905 | 2 |
| #13129902 | 2 |
| #13116629 | 2 |
| #13175 | 13 |