Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
944 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 944 conjugacy classes of subgroups — too many to draw. Only its 121 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×#11718399 | C2 | semidirect |
| 3. C2×#11718062 | C2 | semidirect |
| 4. #13113106 | C2 | semidirect |
| 5. C13×#1280 | C2 | semidirect |
| 31. C22×Dic26 | D4 | semidirect |
| 46. C13×C22⋊C8 | D4 | semidirect |
| 59. C22×C4×C13 | SD16 | semidirect |
| 105. #1280 | D13 | semidirect |
| 220. C22⋊C8 | D52 | semidirect |
| 268. C22×C4 | #6095 | semidirect |
| 282. C13 | #9964 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718399 | 2 |
| #13120938 | 2 |
| C2×#11718062 | 2 |
| #13113106 | 2 |
| C13×#1280 | 2 |
| #9964 | 13 |