Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
716 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 716 conjugacy classes of subgroups — too many to draw. Only its 117 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. #13115154 | C2 | semidirect |
| 2. C2×#11718129 | C2 | semidirect |
| 3. #13113092 | C2 | semidirect |
| 4. #13112679 | C2 | semidirect |
| 51. #88071 | D4 | semidirect |
| 342. C13 | #10403 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13115154 | 2 |
| C2×#11718129 | 2 |
| #13113092 | 2 |
| #13112679 | 2 |
| C13×#2656 | 2 |
| #10403 | 13 |