Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
394 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 394 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. C2×#11718086 | C2 | semidirect |
| 4. #13115624 | C2 | semidirect |
| 5. #13112935 | C2 | semidirect |
| 6. #13112923 | C2 | semidirect |
| 23. #11718159 | C4 | semidirect |
| 54. #88059 | C2×C4 | semidirect |
| 61. C2×#6090 | C2×C4 | semidirect |
| 255. C13 | #12949 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123720 | 2 |
| C2×#11718086 | 2 |
| #13116564 | 2 |
| #13115624 | 2 |
| #13112935 | 2 |
| #13112923 | 2 |
| C13×#2148 | 2 |
| #12949 | 13 |