Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
450 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 450 conjugacy classes of subgroups — too many to draw. Only its 125 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. #13112927 | C2 | semidirect |
| 4. #13112914 | C2 | semidirect |
| 5. C2×C13×#500 | C2 | semidirect |
| 32. C2×D104 | Q8 | semidirect |
| 77. C2×#500 | D13 | semidirect |
| 216. C13 | #13363 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718083 | 2 |
| #13115702 | 2 |
| #13112927 | 2 |
| #13112914 | 2 |
| C2×C13×#500 | 2 |
| #13363 | 13 |