Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
362 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 88 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 |
|---|---|---|
| 3. #13129797 | C2 | semidirect |
| 4. #13129796 | C2 | semidirect |
| 70. C13×Q16 | M16 | semidirect |
| 92. Dic52 | M16 | semidirect |
| 213. Q16 | #6118 | semidirect |
| 239. C13 | #11664 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131200 | 2 |
| #13130391 | 2 |
| #13129797 | 2 |
| #13129796 | 2 |
| C4×Q16×D13 | 2 |
| #11664 | 13 |