Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
380 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 115 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×#11718085 | C2 | semidirect |
| 4. #13115626 | C2 | semidirect |
| 5. #13112947 | C2 | semidirect |
| 6. #13112925 | C2 | semidirect |
| 21. #11718159 | C4 | semidirect |
| 237. C13 | #12947 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718085 | 2 |
| #13116564 | 2 |
| C2×#11718159 | 2 |
| #13115626 | 2 |
| #13112947 | 2 |
| #13112925 | 2 |
| C13×#2957 | 2 |
| #12947 | 13 |