Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1006 conjugacy classes of subgroups; only the 347 normal subgroups are shown.
This group has 1006 conjugacy classes of subgroups — too many to draw. Only its 347 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 |
|---|---|---|
| 42. C8×Dic13 | Q8 | semidirect |
| 90. C8×C13 | C4⋊Q8 | semidirect |
| 91. #1055 | C4⋊Q8 | semidirect |
| 115. Dic13 | #498 | semidirect |
| 166. C13 | #33310 | semidirect |
| 182. C8 | #88198 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718341 | 2 |
| C2×#11718740 | 2 |
| #13123232 | 2 |
| #13114991 | 2 |
| C4×C8×Dic13 | 2 |
| C2×C13×#498 | 2 |
| #33310 | 13 |