Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
512 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 512 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 |
|---|---|---|
| 2. #13123433 | C2 | semidirect |
| 3. C2×#11718154 | C2 | semidirect |
| 4. C2×#11718107 | C2 | semidirect |
| 5. #13112945 | C2 | semidirect |
| 6. #13112931 | C2 | semidirect |
| 7. C13×#2140 | C2 | semidirect |
| 16. #11718821 | C4 | semidirect |
| 35. C2×C13×D8 | C2×C4 | semidirect |
| 64. #88059 | C2×C4 | semidirect |
| 126. #2140 | D13 | semidirect |
| 220. C2×D8 | C4×D13 | semidirect |
| 311. C13 | #12996 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718821 | 2 |
| #13123433 | 2 |
| C2×#11718154 | 2 |
| C2×#11718107 | 2 |
| #13112945 | 2 |
| #13112931 | 2 |
| C13×#2140 | 2 |
| #12996 | 13 |