Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
544 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 544 conjugacy classes of subgroups — too many to draw. Only its 109 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. #13123555 | C2 | semidirect |
| 3. #13113486 | C2 | semidirect |
| 4. #13113261 | C2 | semidirect |
| 5. #13112733 | C2 | semidirect |
| 6. #13112681 | C2 | semidirect |
| 7. C13×#1955 | C2 | semidirect |
| 106. C2×C8×C13 | D8 | semidirect |
| 129. #1955 | D13 | semidirect |
| 320. C2×C8 | #6104 | semidirect |
| 333. C13 | #9049 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124836 | 2 |
| #13123555 | 2 |
| #13113486 | 2 |
| #13113261 | 2 |
| #13112733 | 2 |
| #13112681 | 2 |
| C13×#1955 | 2 |
| #9049 | 13 |