Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
560 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 560 conjugacy classes of subgroups — too many to draw. Only its 98 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. C22×#88103 | C2 | semidirect |
| 2. C2×#11718278 | C2 | semidirect |
| 3. #13131064 | C2 | semidirect |
| 4. #13129910 | C2 | semidirect |
| 57. #88103 | D4 | semidirect |
| 199. C22×C13 | #361 | semidirect |
| 327. C13 | #13004 | semidirect |
| 396. C22 | #11718278 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#88103 | 2 |
| C2×#11718278 | 2 |
| #13131064 | 2 |
| #13129910 | 2 |
| D13×#466 | 2 |
| #13004 | 13 |