Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
508 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 508 conjugacy classes of subgroups — too many to draw. Only its 139 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×#11718102 | C2 | semidirect |
| 3. #13114874 | C2 | semidirect |
| 4. #13112932 | C2 | semidirect |
| 5. C23×C13×C16 | C2 | semidirect |
| 44. C2×C13×C16 | D4 | semidirect |
| 90. C23×C16 | D13 | semidirect |
| 142. C22×C13 | #359 | semidirect |
| 176. C2×C16 | C22⋊D13 | semidirect |
| 226. C13 | #13063 | semidirect |
| 261. C22 | #11718102 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124417 | 2 |
| C2×#11718102 | 2 |
| #13114874 | 2 |
| #13112932 | 2 |
| C23×C13×C16 | 2 |
| #13063 | 13 |