Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
776 conjugacy classes of subgroups; only the 104 normal subgroups are shown.
This group has 776 conjugacy classes of subgroups — too many to draw. Only its 104 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. #13129831 | C2 | direct (N × H) |
| 5. C23×Q8×C13 | C4 | semidirect |
| 12. #11718892 | C4 | semidirect |
| 15. C2×#88071 | C4 | semidirect |
| 26. C22×Q8×C13 | C2×C4 | semidirect |
| 50. #88071 | C2×C4 | semidirect |
| 165. C23×Q8 | #261 | semidirect |
| 221. C22×Q8 | C2×#261 | semidirect |
| 250. C2×C13 | #1351 | semidirect |
| 308. C13 | C2×#1351 | semidirect |
| 409. C2 | #13129831 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718289 | 2 |
| C2×#11718287 | 2 |
| #13129831 | 2 |
| C2×#11718892 | 2 |
| C2×#1351 | 13 |