Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
672 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 672 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 |
|---|---|---|
| 3. #13116510 | C2 | semidirect |
| 4. #13116491 | C2 | semidirect |
| 5. #13112966 | C2 | semidirect |
| 6. #13112956 | C2 | semidirect |
| 10. C2×#88205 | C4 | semidirect |
| 12. C22×#6105 | C4 | semidirect |
| 23. #11718894 | C4 | semidirect |
| 28. #11718876 | C4 | semidirect |
| 44. C22×Dic26 | C2×C4 | semidirect |
| 62. #88180 | C2×C4 | semidirect |
| 65. C2×#6099 | C2×C4 | semidirect |
| 66. C22×#1055 | C2×C4 | semidirect |
| 410. C13 | #13100 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124113 | 2 |
| #13123297 | 2 |
| #13116510 | 2 |
| #13116491 | 2 |
| #13112966 | 2 |
| #13112956 | 2 |
| C13×#1795 | 2 |
| #13100 | 13 |