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. C2×#11718562 | C2 | semidirect |
| 3. #13116572 | C2 | semidirect |
| 4. #13114891 | C2 | semidirect |
| 5. #13112947 | C2 | semidirect |
| 6. #13112932 | C2 | semidirect |
| 7. C2×C13×#359 | C2 | semidirect |
| 14. #11718853 | C4 | semidirect |
| 16. #11718821 | C4 | semidirect |
| 128. C2×#359 | D13 | semidirect |
| 304. C13 | #13071 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718562 | 2 |
| #13124552 | 2 |
| #13116572 | 2 |
| #13114891 | 2 |
| #13112947 | 2 |
| #13112932 | 2 |
| C2×C13×#359 | 2 |
| #13071 | 13 |