Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
402 conjugacy classes of subgroups; only the 122 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 122 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 |
|---|---|---|
| 1. #13131042 | C2 | semidirect |
| 2. C2×#11718253 | C2 | semidirect |
| 3. #13129796 | C2 | semidirect |
| 4. #13129794 | C2 | semidirect |
| 26. C13×#135 | C8 | semidirect |
| 72. C13×Q16 | C2×C8 | semidirect |
| 75. C13×D8 | C2×C8 | semidirect |
| 168. #135 | #1057 | semidirect |
| 217. Q16 | C2×#1057 | semidirect |
| 220. D8 | C2×#1057 | semidirect |
| 245. C13 | #11598 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131042 | 2 |
| C2×#11718253 | 2 |
| #13129796 | 2 |
| #13129794 | 2 |
| #135×Dic13 | 2 |
| #11598 | 13 |