Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
614 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 614 conjugacy classes of subgroups — too many to draw. Only its 103 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. #13124308 | C2 | semidirect |
| 3. C2×#11718688 | C2 | semidirect |
| 4. #13113503 | C2 | semidirect |
| 5. #13113236 | C2 | semidirect |
| 6. #13112732 | C2 | semidirect |
| 7. C13×#1461 | C2 | semidirect |
| 86. C2×Q8×C13 | D8 | semidirect |
| 145. #1461 | D13 | semidirect |
| 311. C2×Q8 | D104 | semidirect |
| 360. C13 | #10177 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125756 | 2 |
| #13124308 | 2 |
| C2×#11718688 | 2 |
| #13113503 | 2 |
| #13113236 | 2 |
| #13112732 | 2 |
| C13×#1461 | 2 |
| #10177 | 13 |