Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
490 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 490 conjugacy classes of subgroups — too many to draw. Only its 74 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 |
|---|---|---|
| 3. #13130230 | C2 | semidirect |
| 4. #13130228 | C2 | semidirect |
| 5. #13129725 | C2 | semidirect |
| 6. #13129725 | C2 | semidirect |
| 20. C13×#489 | C4 | semidirect |
| 21. #11718750 | C4 | semidirect |
| 22. #11718716 | C4 | semidirect |
| 27. #11718375 | C4 | semidirect |
| 45. C13×C4⋊Q8 | C2×C4 | semidirect |
| 62. #88123 | C2×C4 | semidirect |
| 79. C13×#97 | C2×C4 | semidirect |
| 87. #88043 | C2×C4 | semidirect |
| 208. #489 | #261 | semidirect |
| 264. C4⋊Q8 | C2×#261 | semidirect |
| 302. #97 | C2×#261 | semidirect |
| 376. C13 | #9439 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131372 | 2 |
| #13130316 | 2 |
| #13130230 | 2 |
| #13130228 | 2 |
| #13129725 | 2 |
| #13125221 | 2 |
| #9439 | 13 |