Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
830 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 830 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 |
|---|---|---|
| 3. C2×#11718130 | C2 | semidirect |
| 5. #13113107 | C2 | semidirect |
| 6. #13112678 | C2 | semidirect |
| 7. C2×C13×#451 | C2 | semidirect |
| 147. C2×#451 | D13 | semidirect |
| 392. C13 | #9965 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718888 | 2 |
| #13120770 | 2 |
| C2×#11718130 | 2 |
| C2×#11718062 | 2 |
| #13113107 | 2 |
| #13112678 | 2 |
| C2×C13×#451 | 2 |
| #9965 | 13 |