Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
324 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 20. #11718157 | C4 | semidirect |
| 235. C13 | #13135 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13116625 | 2 |
| C2×#11718157 | 2 |
| #13115698 | 2 |
| #13114717 | 2 |
| #13112945 | 2 |
| #13112917 | 2 |
| C13×#2141 | 2 |
| #13135 | 13 |