Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
340 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 340 conjugacy classes of subgroups — too many to draw. Only its 67 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. #13127849 | C2 | semidirect |
| 3. #13116877 | C2 | semidirect |
| 4. #13114196 | C2 | semidirect |
| 5. #13112883 | C2 | semidirect |
| 6. #13112801 | C2 | semidirect |
| 7. C13×Q8⋊C16 | C2 | semidirect |
| 95. Q8⋊C16 | D13 | semidirect |
| 228. C13 | #12329 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13127849 | 2 |
| #13117086 | 2 |
| #13116877 | 2 |
| #13114196 | 2 |
| #13112883 | 2 |
| #13112801 | 2 |
| C13×Q8⋊C16 | 2 |
| #12329 | 13 |