Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
706 conjugacy classes of subgroups; only the 168 normal subgroups are shown.
This group has 706 conjugacy classes of subgroups — too many to draw. Only its 168 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 |
| 39. C4×#1057 | C2×C4 | semidirect |
| 68. C42×C13 | M16 | semidirect |
| 75. C4×Dic13 | M16 | semidirect |
| 202. C42 | #6118 | semidirect |
| 206. C13 | #7855 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131513 | 2 |
| #13129660 | 2 |
| D13×#376 | 2 |
| #7855 | 13 |