Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
662 conjugacy classes of subgroups; only the 172 normal subgroups are shown.
This group has 662 conjugacy classes of subgroups — too many to draw. Only its 172 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 |
|---|---|---|
| 2. #13129660 | C2 | semidirect |
| 11. #11719051 | C4 | semidirect |
| 12. C4×#6118 | C4 | semidirect |
| 71. C42×C13 | M16 | semidirect |
| 80. C4×Dic13 | M16 | semidirect |
| 219. C42 | #6118 | semidirect |
| 223. C13 | #7856 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131513 | 2 |
| #13129660 | 2 |
| C4×#88126 | 2 |
| #7856 | 13 |