Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
508 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 508 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 |
|---|---|---|
| 2. C2×#11718282 | C2 | semidirect |
| 4. #13129910 | C2 | semidirect |
| 189. C22×C13 | #362 | semidirect |
| 311. C13 | #13003 | semidirect |
| 366. C22 | #11718282 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#88103 | 2 |
| C2×#11718282 | 2 |
| #13131064 | 2 |
| #13129910 | 2 |
| D13×#467 | 2 |
| #13003 | 13 |