Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
324 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 74 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. #13131196 | C2 | semidirect |
| 2. #13130758 | C2 | semidirect |
| 3. #13129824 | C2 | semidirect |
| 8. C4×C13×Q16 | C4 | semidirect |
| 9. #11718852 | C4 | semidirect |
| 13. #11718539 | C4 | semidirect |
| 16. C4×D104 | C4 | semidirect |
| 131. C4×Q16 | #261 | semidirect |
| 231. C13 | #11855 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131196 | 2 |
| #13130758 | 2 |
| #13129824 | 2 |
| #13129823 | 2 |
| #13125409 | 2 |
| #11855 | 13 |