Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
282 conjugacy classes of subgroups; only the 84 normal subgroups are shown.
This group has 282 conjugacy classes of subgroups — too many to draw. Only its 84 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 |
|---|---|---|
| 21. C13×#367 | C4 | semidirect |
| 22. #11718096 | C4 | semidirect |
| 23. #11718082 | C4 | semidirect |
| 24. #11718081 | C4 | semidirect |
| 85. C13×C16 | C4⋊C4 | semidirect |
| 86. #6090 | C4⋊C4 | semidirect |
| 129. #367 | #261 | semidirect |
| 216. C16 | C4⋊#261 | semidirect |
| 217. C13 | #13174 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718219 | 2 |
| C2×#11718217 | 2 |
| #13130945 | 2 |
| #13130941 | 2 |
| #13129910 | 2 |
| #13129907 | 2 |
| #13116623 | 2 |
| #13174 | 13 |