Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
194 conjugacy classes of subgroups; only the 36 normal subgroups are shown.
This group has 194 conjugacy classes of subgroups — too many to draw. Only its 36 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 |
|---|---|---|
| 135. C13 | #7442 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13129777 | 2 |
| #13129712 | 2 |
| #13116183 | 2 |
| #7442 | 13 |