Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
578 conjugacy classes of subgroups; only the 92 normal subgroups are shown.
This group has 578 conjugacy classes of subgroups — too many to draw. Only its 92 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. #13131577 | C2 | semidirect |
| 2. #13130999 | C2 | semidirect |
| 3. C4×#88115 | C2 | semidirect |
| 4. #13130183 | C2 | semidirect |
| 5. #13129733 | C2 | semidirect |
| 6. #13129667 | C2 | semidirect |
| 22. C13×#474 | C4 | semidirect |
| 23. #11718748 | C4 | semidirect |
| 24. #11718676 | C4 | semidirect |
| 27. #11718504 | C4 | semidirect |
| 130. #6118 | D8 | semidirect |
| 197. D52 | #104 | semidirect |
| 224. #474 | #261 | semidirect |
| 400. C13 | #8991 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131577 | 2 |
| #13130999 | 2 |
| C4×#88115 | 2 |
| #13130183 | 2 |
| #13129733 | 2 |
| #13129667 | 2 |
| #13124838 | 2 |
| #8991 | 13 |