Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
632 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 632 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. #13117561 | C2 | semidirect |
| 3. #13115668 | C2 | semidirect |
| 4. #13113503 | C2 | semidirect |
| 5. #13113397 | C2 | semidirect |
| 6. #13112695 | C2 | semidirect |
| 7. C13×#1274 | C2 | semidirect |
| 21. #11718356 | C4 | semidirect |
| 22. #11718355 | C4 | semidirect |
| 47. #88128 | C2×C4 | semidirect |
| 53. #88123 | C2×C4 | semidirect |
| 59. C4×C8×C13 | C2×C4 | semidirect |
| 107. C42×C13 | D8 | semidirect |
| 131. #1274 | D13 | semidirect |
| 268. C4×C8 | C4×D13 | semidirect |
| 330. C42 | D104 | semidirect |
| 335. C13 | #9299 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125756 | 2 |
| #13117561 | 2 |
| #13115668 | 2 |
| #13113503 | 2 |
| #13113397 | 2 |
| #13112695 | 2 |
| C13×#1274 | 2 |
| #9299 | 13 |