Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
414 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 414 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
| 3. C2×#11718079 | C2 | semidirect |
| 6. #13112936 | C2 | semidirect |
| 7. C13×#1383 | C2 | semidirect |
| 22. #11718099 | C4 | semidirect |
| 102. #1383 | D13 | semidirect |
| 239. C13 | #12930 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718521 | 2 |
| C2×#11718105 | 2 |
| C2×#11718079 | 2 |
| #13116446 | 2 |
| #13114871 | 2 |
| #13112936 | 2 |
| C13×#1383 | 2 |
| #12930 | 13 |