Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
630 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 630 conjugacy classes of subgroups — too many to draw. Only its 103 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. #13116510 | C2 | semidirect |
| 3. #13116489 | C2 | semidirect |
| 5. #13112964 | C2 | semidirect |
| 6. #13112956 | C2 | semidirect |
| 11. C2×#88205 | C4 | semidirect |
| 12. C22×#6107 | C4 | semidirect |
| 24. #11718894 | C4 | semidirect |
| 28. #11718886 | C4 | semidirect |
| 399. C13 | #13101 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124131 | 2 |
| #13116510 | 2 |
| #13116489 | 2 |
| #13114811 | 2 |
| #13112964 | 2 |
| #13112956 | 2 |
| C13×#2884 | 2 |
| #13101 | 13 |