Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
388 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 86 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 |
|---|---|---|
| 2. #13130775 | C2 | semidirect |
| 3. #13130413 | C2 | semidirect |
| 5. #13129722 | C2 | semidirect |
| 6. #13129668 | C2 | semidirect |
| 118. Q8×C13 | #108 | semidirect |
| 274. C13 | #8899 | semidirect |
| 278. Q8 | #88103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131770 | 2 |
| #13130775 | 2 |
| #13130413 | 2 |
| #13130174 | 2 |
| #13129722 | 2 |
| #13129668 | 2 |
| #13113217 | 2 |
| #8899 | 13 |