Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
306 conjugacy classes of subgroups; only the 96 normal subgroups are shown.
This group has 306 conjugacy classes of subgroups — too many to draw. Only its 96 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×C4⋊C16 | C4 | semidirect |
| 22. #11718093 | C4 | semidirect |
| 23. #11718093 | C4 | semidirect |
| 24. C4⋊#6090 | C4 | semidirect |
| 141. C4⋊C16 | #261 | semidirect |
| 155. Dic13 | #365 | semidirect |
| 229. C13 | #13185 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718220 | 2 |
| C2×#11718219 | 2 |
| #13130776 | 2 |
| C4×#88101 | 2 |
| #13129901 | 2 |
| #13116590 | 2 |
| #13185 | 13 |