Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
762 conjugacy classes of subgroups; only the 216 normal subgroups are shown.
This group has 762 conjugacy classes of subgroups — too many to draw. Only its 216 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 |
|---|---|---|
| 131. Dic13 | #338 | semidirect |
| 197. C13 | C4⋊#338 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D13⋊#423 | 2 |
| C2×#11718269 | 2 |
| C2×#11718368 | 2 |
| C4⋊#338 | 13 |