Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
456 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 456 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 |
|---|---|---|
| 1. #13127938 | C2 | semidirect |
| 3. C2×#11718158 | C2 | semidirect |
| 4. #13114892 | C2 | semidirect |
| 5. #13112949 | C2 | semidirect |
| 6. #13112935 | C2 | semidirect |
| 7. C13×#2143 | C2 | semidirect |
| 14. #11718853 | C4 | semidirect |
| 16. #11718821 | C4 | semidirect |
| 125. #2143 | D13 | semidirect |
| 299. C13 | #13070 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13127938 | 2 |
| #13124552 | 2 |
| C2×#11718158 | 2 |
| #13114892 | 2 |
| #13112949 | 2 |
| #13112935 | 2 |
| C13×#2143 | 2 |
| #13070 | 13 |