Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
442 conjugacy classes of subgroups; only the 112 normal subgroups are shown.
This group has 442 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 |
|---|---|---|
| 254. C13 | #7662 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130752 | 2 |
| C4×C4⋊#1057 | 2 |
| #13129657 | 2 |
| #13129656 | 2 |
| #13123211 | 2 |
| #7662 | 13 |