Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
546 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 546 conjugacy classes of subgroups — too many to draw. Only its 99 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×#11718842 | C2 | semidirect |
| 4. C2×#11718088 | C2 | semidirect |
| 6. #13112917 | C2 | semidirect |
| 7. C2×C13×#362 | C2 | semidirect |
| 140. C2×#362 | D13 | semidirect |
| 328. C13 | #13333 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718570 | 2 |
| C2×#11718840 | 2 |
| C2×#11718842 | 2 |
| C2×#11718088 | 2 |
| #13115722 | 2 |
| #13112917 | 2 |
| C2×C13×#362 | 2 |
| #13333 | 13 |