Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
604 conjugacy classes of subgroups; only the 171 normal subgroups are shown.
This group has 604 conjugacy classes of subgroups — too many to draw. Only its 171 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. #13117050 | C2 | direct (N × H) |
| 3. C2×#11718086 | C2 | semidirect |
| 4. C2×#11718087 | C2 | semidirect |
| 5. C2×#11718145 | C2 | semidirect |
| 6. C2×C13×#430 | C2 | semidirect |
| 12. C13×#430 | C22 | semidirect |
| 20. #11718145 | C22 | semidirect |
| 21. #11718087 | C22 | semidirect |
| 22. #11718086 | C22 | semidirect |
| 95. C2×#430 | D13 | semidirect |
| 142. #430 | C2×D13 | semidirect |
| 203. C2×C13 | #2238 | semidirect |
| 245. C13 | C2×#2238 | semidirect |
| 303. C2 | #13117050 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718796 | 2 |
| #13117050 | 2 |
| C2×#11718086 | 2 |
| C2×#11718087 | 2 |
| C2×#11718145 | 2 |
| C2×C13×#430 | 2 |
| C2×#2238 | 13 |