Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
534 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 534 conjugacy classes of subgroups — too many to draw. Only its 89 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. #13115650 | C2 | semidirect |
| 3. #13115002 | C2 | semidirect |
| 4. C2×#11718132 | C2 | semidirect |
| 5. C2×#11718056 | C2 | semidirect |
| 6. #13112718 | C2 | semidirect |
| 7. C13×#1959 | C2 | semidirect |
| 75. #88043 | D4 | semidirect |
| 144. #1959 | D13 | semidirect |
| 378. C13 | #10424 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13122881 | 2 |
| #13115650 | 2 |
| #13115002 | 2 |
| C2×#11718132 | 2 |
| C2×#11718056 | 2 |
| #13112718 | 2 |
| C13×#1959 | 2 |
| #10424 | 13 |