Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1342 conjugacy classes of subgroups; only the 239 normal subgroups are shown.
This group has 1342 conjugacy classes of subgroups — too many to draw. Only its 239 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. D13×#493 | C2 | semidirect |
| 2. #13114451 | C2 | semidirect |
| 3. #13114450 | C2 | semidirect |
| 4. C82×D13 | C2 | semidirect |
| 5. C13×#1712 | C2 | semidirect |
| 8. C13×#493 | C22 | semidirect |
| 10. #11718734 | C22 | semidirect |
| 11. #11718356 | C22 | semidirect |
| 13. C82×C13 | C22 | semidirect |
| 14. C8×#1055 | C22 | semidirect |
| 42. C8×D13 | D8 | semidirect |
| 46. #1712 | D13 | direct (N × H) |
| 58. C8×C13 | C2×D8 | semidirect |
| 59. #1055 | C2×D8 | semidirect |
| 65. #493 | C2×D13 | semidirect |
| 68. C82 | C2×D13 | semidirect |
| 92. D13 | #1712 | direct (N × H) |
| 107. C13 | C2×#1712 | semidirect |
| 119. C8 | D8×D13 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D13×#493 | 2 |
| #13114451 | 2 |
| #13114450 | 2 |
| C82×D13 | 2 |
| C13×#1712 | 2 |
| C2×#1712 | 13 |