Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
632 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 632 conjugacy classes of subgroups — too many to draw. Only its 107 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. #13117559 | C2 | semidirect |
| 3. #13115669 | C2 | semidirect |
| 4. #13113503 | C2 | semidirect |
| 5. #13112694 | C2 | semidirect |
| 6. #13112664 | C2 | semidirect |
| 7. C13×#1517 | C2 | semidirect |
| 15. #11718749 | C4 | semidirect |
| 16. #11718734 | C4 | semidirect |
| 32. C13×C4⋊Q8 | C2×C4 | semidirect |
| 33. C13×#127 | C2×C4 | semidirect |
| 68. C4×#1055 | C2×C4 | semidirect |
| 120. C4×Dic13 | D8 | semidirect |
| 129. #1517 | D13 | semidirect |
| 238. C4⋊Q8 | C4×D13 | semidirect |
| 243. #127 | C4×D13 | semidirect |
| 335. C13 | #9299 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125751 | 2 |
| #13117559 | 2 |
| #13115669 | 2 |
| #13113503 | 2 |
| #13112694 | 2 |
| #13112664 | 2 |
| C13×#1517 | 2 |
| #9299 | 13 |