Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
738 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 738 conjugacy classes of subgroups — too many to draw. Only its 131 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. #13114770 | C2 | semidirect |
| 4. #13112703 | C2 | semidirect |
| 16. #11718640 | C4 | semidirect |
| 18. #11718608 | C4 | semidirect |
| 116. C23×C13 | #103 | semidirect |
| 139. C2×C4×C13 | #103 | semidirect |
| 287. C13 | #9467 | semidirect |
| 294. C23 | #88050 | semidirect |
| 328. C2×C4 | #88050 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123860 | 2 |
| #13118201 | 2 |
| #13114770 | 2 |
| #13112703 | 2 |
| C13×#1799 | 2 |
| #9467 | 13 |