Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
356 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 356 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 1. C2×#11718086 | C2 | semidirect |
| 4. #13114723 | C2 | semidirect |
| 5. #13112942 | C2 | semidirect |
| 6. #13112915 | C2 | semidirect |
| 19. #11718154 | C4 | semidirect |
| 226. C13 | #13142 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718086 | 2 |
| #13116552 | 2 |
| #13115713 | 2 |
| #13114723 | 2 |
| #13112942 | 2 |
| #13112915 | 2 |
| C2×C13×#361 | 2 |
| #13142 | 13 |