Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
288 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 288 conjugacy classes of subgroups — too many to draw. Only its 59 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. C2×#11718113 | C2 | semidirect |
| 3. #13116924 | C2 | semidirect |
| 4. #13113017 | C2 | semidirect |
| 5. #13113015 | C2 | semidirect |
| 6. #13112973 | C2 | semidirect |
| 7. C2×C13×Q64 | C2 | semidirect |
| 74. C2×Q64 | D13 | semidirect |
| 182. C13 | #13666 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718580 | 2 |
| C2×#11718113 | 2 |
| #13116924 | 2 |
| #13113017 | 2 |
| #13113015 | 2 |
| #13112973 | 2 |
| C2×C13×Q64 | 2 |
| #13666 | 13 |