Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
370 conjugacy classes of subgroups; only the 112 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 112 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 |
|---|---|---|
| 10. C13×#500 | C4 | semidirect |
| 15. #11718539 | C4 | semidirect |
| 17. #11718343 | C4 | semidirect |
| 38. #88098 | Q8 | semidirect |
| 112. #500 | #261 | semidirect |
| 205. C13 | #13287 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#88098 | 2 |
| #13130771 | 2 |
| #13129907 | 2 |
| #13125347 | 2 |
| #13287 | 13 |