Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
484 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 85 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 |
|---|---|---|
| 2. #13125786 | C2 | semidirect |
| 4. #13113552 | C2 | semidirect |
| 5. #13113450 | C2 | semidirect |
| 7. C13×#1302 | C2 | semidirect |
| 127. #1302 | D13 | semidirect |
| 295. C13 | #10137 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125841 | 2 |
| #13125786 | 2 |
| C2×#11718375 | 2 |
| #13113552 | 2 |
| #13113450 | 2 |
| #13113187 | 2 |
| C13×#1302 | 2 |
| #10137 | 13 |