Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
786 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 786 conjugacy classes of subgroups — too many to draw. Only its 105 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. #13118481 | C2 | semidirect |
| 4. #13114772 | C2 | semidirect |
| 5. #13113408 | C2 | semidirect |
| 6. #13112683 | C2 | semidirect |
| 137. C22⋊Dic13 | SD16 | semidirect |
| 374. C13 | #9949 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718701 | 2 |
| #13118481 | 2 |
| #13115673 | 2 |
| #13114772 | 2 |
| #13113408 | 2 |
| #13112683 | 2 |
| C13×#3187 | 2 |
| #9949 | 13 |