Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
412 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 109 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. C2×#11718105 | C2 | semidirect |
| 5. #13115564 | C2 | semidirect |
| 6. #13112935 | C2 | semidirect |
| 7. C13×#1376 | C2 | semidirect |
| 22. #11718110 | C4 | semidirect |
| 93. Dic52 | C4⋊C4 | semidirect |
| 95. D104 | C4⋊C4 | semidirect |
| 108. #1376 | D13 | semidirect |
| 257. C13 | #12950 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718361 | 2 |
| C2×#11718105 | 2 |
| C2×#11718110 | 2 |
| #13115564 | 2 |
| #13112935 | 2 |
| C13×#1376 | 2 |
| #12950 | 13 |