Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
342 conjugacy classes of subgroups; only the 112 normal subgroups are shown.
This group has 342 conjugacy classes of subgroups — too many to draw. Only its 112 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 |
|---|---|---|
| 16. C13×C4⋊C16 | C4 | semidirect |
| 17. #11718093 | C4 | semidirect |
| 18. C4⋊#6090 | C4 | semidirect |
| 122. C4⋊C16 | #261 | semidirect |
| 135. C4×C13 | #366 | semidirect |
| 139. Dic13 | #366 | semidirect |
| 205. C13 | #13176 | semidirect |
| 251. C4 | #11718221 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718221 | 2 |
| #13130772 | 2 |
| C4×#88102 | 2 |
| #13129894 | 2 |
| D13×C4⋊C16 | 2 |
| #13176 | 13 |