Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
294 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 294 conjugacy classes of subgroups — too many to draw. Only its 78 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. C2×D13⋊C32 | C2 | semidirect |
| 2. D13⋊#368 | C2 | semidirect |
| 3. #13129988 | C2 | semidirect |
| 4. #13129987 | C2 | semidirect |
| 20. #11718223 | C22 | semidirect |
| 22. D13⋊C32 | C22 | semidirect |
| 188. D13 | #1417 | semidirect |
| 223. C13 | C2×#1417 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D13⋊C32 | 2 |
| D13⋊#368 | 2 |
| #13129988 | 2 |
| #13129987 | 2 |
| D13×#508 | 2 |
| C2×#1417 | 13 |