Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
470 conjugacy classes of subgroups; only the 116 normal subgroups are shown.
This group has 470 conjugacy classes of subgroups — too many to draw. Only its 116 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 |
|---|---|---|
| 2. #13130633 | C2 | semidirect |
| 4. #13130042 | C2 | semidirect |
| 5. #13129733 | C2 | semidirect |
| 6. #13129728 | C2 | semidirect |
| 13. #11719076 | C4 | semidirect |
| 15. #11719073 | C4 | semidirect |
| 26. C13×#332 | C4 | semidirect |
| 27. #11718139 | C4 | semidirect |
| 28. #11718077 | C4 | semidirect |
| 29. #11718077 | C4 | semidirect |
| 179. #332 | #261 | semidirect |
| 295. C13 | #8255 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131561 | 2 |
| #13130633 | 2 |
| #13130217 | 2 |
| #13130042 | 2 |
| #13129733 | 2 |
| #13129728 | 2 |
| #13113484 | 2 |
| #8255 | 13 |