Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
346 conjugacy classes of subgroups; only the 108 normal subgroups are shown.
This group has 346 conjugacy classes of subgroups — too many to draw. Only its 108 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 |
|---|---|---|
| 3. #13129805 | C2 | semidirect |
| 4. #13129804 | C2 | semidirect |
| 193. D13 | #1338 | semidirect |
| 230. C13 | C2×#1338 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D13⋊(C4⋊C16) | 2 |
| #13131037 | 2 |
| #13129805 | 2 |
| #13129804 | 2 |
| D13×#446 | 2 |
| C2×#1338 | 13 |