Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
528 conjugacy classes of subgroups; only the 94 normal subgroups are shown.
This group has 528 conjugacy classes of subgroups — too many to draw. Only its 94 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. C2×#11719092 | C2 | semidirect |
| 2. C2×#11718275 | C2 | semidirect |
| 3. #13131064 | C2 | semidirect |
| 4. #13129907 | C2 | semidirect |
| 14. C13×#466 | C4 | semidirect |
| 15. #11718818 | C4 | semidirect |
| 16. #11718777 | C4 | semidirect |
| 18. #11718548 | C4 | semidirect |
| 57. #88101 | D4 | semidirect |
| 179. #466 | #261 | semidirect |
| 318. C13 | #13002 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11719092 | 2 |
| C2×#11718275 | 2 |
| #13131064 | 2 |
| #13129907 | 2 |
| #13124415 | 2 |
| #13002 | 13 |