Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
488 conjugacy classes of subgroups; only the 106 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 106 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 |
|---|---|---|
| 25. C13×#332 | C4 | semidirect |
| 26. #11718139 | C4 | semidirect |
| 27. #11718078 | C4 | semidirect |
| 28. #11718074 | C4 | semidirect |
| 199. #332 | #261 | semidirect |
| 326. C13 | #8922 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131365 | 2 |
| #13131017 | 2 |
| #13130947 | 2 |
| #13129670 | 2 |
| D13×#332 | 2 |
| #8922 | 13 |